The small plate is moving eastward at a rate of 5 millimeters per year. After 1.5 million years, the small plate would be 7,500 meters farther away from the large plate.
To find the rate of motion of the small plate, we can divide the distance it moved by the time it took to move that distance:
Rate of motion = distance/time
In this case, the distance is 150,000 meters and the time is 30 million years, which is equivalent to 30,000,000 years. Converting both values to millimeters and years, respectively, we get:
Rate of motion = (150,000 meters) / (30,000,000 years) * (1000 mm/meter) / (1 year/1)
Simplifying this expression, we get:
Rate of motion = 5 mm/year
To find where the small plate would be after 1.5 million years, we can use the formula:
distance = rate of motion * time
Using the rate of motion we calculated in part 1 (5 mm/year) and the given time of 1.5 million years, we get:
distance = (5 mm/year) * (1.5 million years)
Converting the result back to meters, we get:
distance = 7,500 meters
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How many grams are in 0. 02mol of Mg (25. 3g/mol)
There are 0.486 grams of magnesium in 0.02 moles of magnesium.
To calculate the grams of magnesium, you multiply the given moles (0.02 mol) by the molar mass (24.3 g/mol):
0.02 mol Mg × 24.3 g/mol Mg = 0.486 g Mg
Therefore, there are 0.486 grams of magnesium in 0.02 moles of magnesium.
It's important to note that molar mass allows us to convert between moles and grams. By multiplying the number of moles by the molar mass, we can determine the mass of the substance in grams.
This conversion is commonly used in chemistry to relate the quantity of a substance in moles to its corresponding mass in grams.
In this case, by multiplying the given moles (0.02 mol) of magnesium by the molar mass of magnesium (24.3 g/mol), we obtain the mass of magnesium in grams (0.486 g).
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A gas has a temperature of 14 °C, and a volume of 4. 5 L. If the temperature is raised to 29 °C and the pressure is not changed, what is the new volume of the gas? A. 4. 7 L B. 4. 9 L C. 5. 3 L D. 5. 5 L
The new volume of the gas when the temperature is raised to 29°C and the pressure is not changed is approximately :4.73 L. The correct option is A.
To determine the new volume of a gas when its temperature is changed, we can use Charles' Law. Charles' Law states that the volume of a gas is directly proportional to its temperature, provided that the pressure remains constant. Your initial temperature (T1) is 14°C, and the initial volume (V1) is 4.5 L.
The final temperature (T2) is 29°C, and we need to find the new volume (V2). Remember to convert the temperatures from Celsius to Kelvin by adding 273.15 to each value (T1 = 287.15 K, T2 = 302.15 K).
Using Charles' Law, we have:
V1/T1 = V2/T2
Now, we can plug in the values:
(4.5 L)/(287.15 K) = V2/(302.15 K)
To find V2, multiply both sides by 302.15 K:
V2 = (4.5 L x 302.15 K) / 287.15 K
V2 ≈ 4.73 L
The new volume of the gas when the temperature is raised to 29°C and the pressure is not changed is approximately 4.73 L. The correct option is A.
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Complete question:
A gas has a temperature of 14 °C, and a volume of 4. 5 L. If the temperature is raised to 29 °C and the pressure is not changed, what is the new volume of the gas?
A. 4. 7 L
B. 4. 9 L
C. 5. 3 L
D. 5. 5 L
If the current in a circuit is 3. 2 mA and the resistance of the wire used in the circuit is 250 Ω, what is the voltage of the fuel cell being used?
Formula;
Calculation;
Answer:
If the current in a circuit is 3. 2 mA and the resistance of the wire used in the circuit is 250 Ω, the voltage of the fuel cell being used in the circuit is 0.8 volts.
To calculate the voltage of the fuel cell being used in a circuit, we can use Ohm's law, which states that the voltage (V) equals the current (I) multiplied by the resistance (R): V = I x R.
In this case, the current is 3.2 mA (milliamperes), and the resistance of the wire used in the circuit is 250 Ω (ohms). We first need to convert the current to amperes by dividing it by 1000: 3.2 mA ÷ 1000 = 0.0032 A.
Next, we can substitute these values into the formula to calculate the voltage: [tex]V = 0.0032 \;A \times 250 \;\Omega = 0.8 \;volts.[/tex]
Therefore, the voltage of the fuel cell being used in the circuit is 0.8 volts.
In summary, to calculate the voltage of a fuel cell being used in a circuit, we can use Ohm's law, which states that voltage equals current multiplied by resistance.
By converting the current from milliamperes to amperes and substituting the values into the formula, we can determine the voltage of the fuel cell in volts.
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what latitude would you have to travel to see the noontime sun at your zenith on october 3rd (practice with other dates)? could you explain your answer? earth's axis of rotation is titled by 23.5 degrees.
You would have to travel to a latitude of approximately 80.5 degrees north of the equator (or south, depending on your hemisphere) to see the noontime sun at your zenith on October 3rd.
To see the noontime sun at your zenith on October 3rd (or any other date), you would have to be located at a latitude equal to the complement of the Sun's declination on that date. The declination is the angle between the plane of the Earth's equator and the line connecting the Earth to the Sun, and it varies throughout the year due to the tilt of the Earth's axis of rotation.
On October 3rd, the Sun's declination is approximately 9.5 degrees south of the equator. To find the latitude at which the noontime Sun would be directly overhead, we take the complement of this declination, which is:
90 degrees - 9.5 degrees = 80.5 degrees
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The arrows in this diagram are meant to show how gravitational equilibrium works in the sun. What do the different colors and different arrow lengths represent?.
In the context of the Sun, gravitational equilibrium refers to the balance between the inward gravitational force and the outward pressure force that acts within the Sun's interior. This equilibrium is crucial for maintaining the Sun's stability and preventing its collapse or runaway expansion.
In a simplified explanation, the gravitational force in the Sun's core is responsible for pulling matter inward. At the same time, the high temperatures and pressures in the core generate intense radiation pressure and gas pressure, pushing matter outward. The combination of these inward and outward forces creates a balance.
Different regions within the Sun contribute to this equilibrium, with variations in temperature, density, and pressure. These variations can result in different colors and arrow lengths in a diagram, which may represent the following:
1. Colors: Different colors might be used to represent different regions or layers within the Sun, each with its specific characteristics and properties. For example, the core, radiative zone, and convective zone of the Sun have distinct temperature and pressure profiles, which could be depicted using different colors.
2. Arrow Lengths: Arrow lengths might be used to illustrate the strength or magnitude of the forces involved. Longer arrows could indicate stronger forces, such as higher pressure or greater gravitational forces. Shorter arrows may represent weaker forces or areas where the forces balance each other.
It's important to note that the specific colors and arrow lengths used in a diagram can vary depending on the particular representation and the context of the diagram you are referring to. It would be helpful to provide a description or more specific details about the diagram for a more accurate interpretation.
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If I make a tortilla by mixing 55 grams of flour and 20 grams of water how much mass should my tortilla have
Answer:
Your tortilla would weigh 75 grams total.
Explanation:
55 grams of flour + 20 grams of water = 75 grams total
The tortilla should have a mass of 75 grams.
What is a mixture?A mixture is a combination of two or more substances that are not chemically bonded and can be separated by physical means. In a mixture, each substance retains its own chemical identity and properties. The properties of a mixture can vary depending on the relative amounts of the substances that are mixed together.
There are two main types of mixtures: homogeneous and heterogeneous.
1. Homogeneous mixtures: These are also called solutions, and they have a uniform composition throughout. The components of a homogeneous mixture are not visible to the bare eye and cannot be separated by simple mechanical means. Examples of homogeneous mixtures include salt water, sugar in water, and air.
2. Heterogeneous mixtures: These are mixtures that do not have a uniform composition throughout. The components of a heterogeneous mixture are visible to the bare eye, and they can be separated by mechanical means such as filtration, sedimentation, or decantation. Examples of heterogeneous mixtures include a mixture of oil and water, a salad, and a mixture of sand and pebbles.
Here in the Question,
The total mass of the tortilla will be the sum of the mass of flour and the mass of water used to make it. So, the tortilla should have a mass of:
55 grams (flour) + 20 grams (water) = 75 grams.
Therefore, the Total mass of the tortilla is 75 Grams.
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(g) two masses mand m2(mı > m2) slide down a rough inclined surface of the same
length and inclination. which of the masses would be the first to get to the bottom? give
reasons for your answer.
The first mass with a smaller mass would reach the bottom first due to its greater acceleration and less resistance from friction.
According to Newton's second law of motion, the acceleration of an object is directly proportional to the force applied on it and inversely proportional to its mass. Therefore, the object with the smaller mass would experience a greater acceleration than the object with the larger mass. In the scenario presented in the question, both masses are sliding down the same inclined surface with the same length and inclination. However, since the first object has a smaller mass, it would experience a greater acceleration and would therefore reach the bottom first.
Moreover, since the inclined surface is described as rough, there would be friction acting against the motion of the masses, slowing them down. However, the frictional force is also directly proportional to the normal force acting on the object. The normal force is the force exerted by the surface perpendicular to the object's surface. Therefore, the larger object would experience a greater normal force and consequently a greater frictional force, further slowing it down.
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An electron moves with an unknown velocity through a magnetic field of 1. 56 T that points directly east. The electron experiences a force of 6. 24 x 10-15 N directly south. What is the magnitude and direction of the velocity? Show your work. (The charge of an electron is -1. 6 x 10-19 C)
The magnitude of the velocity is 0.0246 m/s and the direction of the velocity is directly north.
The magnetic force on a charged particle is the force experienced by a moving charged particle when it interacts with a magnetic field. When a charged particle moves through a magnetic field, it experiences a force that is perpendicular to both its velocity and the magnetic field direction. This force is known as the magnetic force or the Lorentz force.
The magnitude of the magnetic force is proportional to the charge of the particle, the magnitude of its velocity, and the strength of the magnetic field. The direction of the force is perpendicular to both the velocity vector and the magnetic field vector, following the right-hand rule.
It is given by the formula:
F = qvB
Where F is the force, q is the charge, v is the velocity, and B is the magnetic field.
F = 6.24 x 10⁻¹⁵ N (force)
q = -1.6 x 10⁻¹⁹ C (charge)
B = 1.56 T (magnetic field)
v = F / (qB)
v = (6.24 x 10⁻¹⁵ N) / (-1.6 x 10⁻¹⁹ C) / (1.56 T)
v = -0.0246 m/s
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Delivery of medicines to particular organ or tissue in a human body with the help of a direct current is named electrophoresis. in this case, two oppositely charged plates are applied to the body. (a) find charge that passes through the body during 10 min electrophoresis procedure if current used was =8 ma. (b) find current density value if electrodes area was = 150×180 cm2
The charge that passes through the body during a 10-minute electrophoresis procedure with a current of: 8 mA is 4.8 Coulombs, and the current density value with an electrode area of 150x180 cm² is approximately 0.296 A/m².
The delivery of medicines to a specific organ or tissue in the human body using a direct current is known as electrophoresis. In this case, two oppositely charged plates are applied to the body.
(a) To find the charge that passes through the body during a 10-minute electrophoresis procedure with a current of 8 mA, you can use the formula: Charge (Q) = Current (I) × Time (t). Since the current is given in milliamperes (mA), you'll need to convert it to amperes (A) by dividing by 1,000: 8 mA / 1,000 = 0.008 A.
The time is given in minutes, so convert it to seconds: 10 minutes × 60 seconds/minute = 600 seconds. Now, you can find the charge: Q = 0.008 A × 600 s = 4.8 Coulombs.
(b) To find the current density, you'll need to use the formula: Current Density (J) = Current (I) / Area (A). The electrode area is given as 150 x 180 cm², so you need to convert it to square meters: (150 x 180 cm²) / (10,000 cm²/m²) = 0.027 m². Now you can find the current density: J = 0.008 A / 0.027 m² ≈ 0.296 A/m².
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12) A girl of mass 50 Kg transports a box of mass 20 Kg up a flight of 10 steps, each step 20 cm
high. She takes 16 Seconds to climb up the steps.
a. What is her weight?
b. What is the weight of the box?
c. When she reaches the top what vertical height has she traveled?
Pls help its urgent and I will mark you brainliest
A girl carrying a 20 Kg box climbs up 10 steps, each 20 cm high, in 16 seconds. Her own mass is 50 Kg. Her weight is 490.5N. The weight of the box is 196.2 N. When the girl reaches the top, she has traveled a vertical height of 2 meters.
a. The girl's weight is given by the product of her mass and the acceleration due to gravity. Thus, her weight is:
Weight = mass x acceleration due to gravity
Weight = [tex]50 \;kg \times 9.81 \;m/s^2[/tex]
Weight = 490.5 N
b. The weight of the box is also given by the product of its mass and the acceleration due to gravity. Thus, its weight is:
Weight = mass x acceleration due to gravity
Weight = [tex]20 \;kg \times 9.81 \;m/s^2[/tex]
Weight = 196.2 N
c. The vertical height of each step is given as 20 cm or 0.2 m. Therefore, the total vertical height traveled by the girl is:
Total height = number of steps x height of each step
Total height = 10 steps x 0.2 m/step
Total height = 2 m
Hence, when the girl reaches the top, she has traveled a vertical height of 2 meters.
In summary, we calculated the weight of the girl and the box, and determined the vertical height traveled by the girl when she climbed a flight of 10 steps, each step 20 cm high, in 16 seconds.
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let us recall what is a magnet? How does it work?
Answer:
The magnets are surrounded by an invisible magnetic field that contains stored-up, or potential, energy. When attempting to push two like-sided poles together, the stored-up energy becomes movement, or kinetic energy, and forces them apart. The same principle happens when two unlike poles come together.
The orbit of the moon about the earth is approximately circular, with mean radius of 3,84. 108m. It takes 27,3 days for the moon to complete one revolution about the earth. Find: a) the mean orbital speed of the moon; b) its centripetal acceleration
The centripetal acceleration of the moon is approximately 0.0027 m/s².
To find the mean orbital speed of the moon and its centripetal acceleration, we'll use the given information of the moon's orbit radius and revolution time.
a) To find the mean orbital speed (v) of the moon, we'll use the formula v = 2 * π * r / T, where r is the orbit radius (3.84 x 10^8 m) and T is the revolution time (27.3 days, converted to seconds).
v = 2 * π * (3.84 x 10^8 m) / (27.3 days * 24 hours/day * 3600 s/hour) ≈ 1022 m/s
The mean orbital speed of the moon is approximately 1022 m/s.
b) To find the centripetal acceleration (a_c) of the moon, we'll use the formula a_c = v² / r.
a_c = (1022 m/s)² / (3.84 x 10⁸ m) ≈ 0.0027 m/s²
The centripetal acceleration of the moon is approximately 0.0027 m/s².
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Throughly explain how all organisms are connected and need each other
Throughly explaining how all organisms are connected and need each other: involves understanding the concept of ecosystems and the various relationships among organisms.
All organisms on Earth are connected through a complex network of interactions in ecosystems. These ecosystems are composed of biotic factors (living organisms) and abiotic factors (non-living elements such as air, water, and soil). Organisms are linked through relationships like predation, competition, and symbiosis, which help maintain a balance in these ecosystems.
In a food chain, organisms are connected as they depend on one another for nutrition. Producers (such as plants) use sunlight to create energy through photosynthesis. Consumers (such as animals) consume the producers or other consumers to obtain energy. Decomposers (such as fungi and bacteria) break down dead organic matter and recycle nutrients back into the ecosystem.
Symbiotic relationships, such as mutualism, commensalism, and parasitism, further illustrate the interdependence of organisms. In mutualism, both species benefit from the relationship, such as bees pollinating flowers while collecting nectar. Commensalism involves one species benefiting without affecting the other, like a barnacle living on a whale's skin. In parasitism, one species benefits at the expense of another, such as a tick feeding on a mammal's blood.
Lastly, all organisms contribute to maintaining the delicate balance within an ecosystem. They help control population levels, recycle nutrients, and maintain overall biodiversity. A disruption in one organism's population can have cascading effects on the entire ecosystem, demonstrating the importance of their interconnectedness.
In summary, all organisms are connected and need each other through their roles in ecosystems, food chains, symbiotic relationships, and their contributions to maintaining balance.
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Dolphins communicate using various sounds, including whistles, clicks, and squeaks. Lower-frequency vocalizations are likely used in social communication, and high-frequency vocalizations are likely used in echolocation. If a dolphin is producing a vocalization with a frequency of 35 Hz traveling at 1,500 m/s, what is the wavelength of the sound?
The wavelength of the sound wave, given that wave has a frequency of 35 Hz and travelling at 1500 m/s is 42.86 m
How do i determine the wavelength?First, we shall list out the given parameters from the question. This is given below:
Frequency of sound wave (f) = 35 HzSpeed of sound wave (v) = 1500 m/sWavelength of sound wave (λ) = ?The wavelength of the sound wave can be obtained as illustrated below:
Velocity (v) = wavelength (λ) × frequency (f)
1500 = wavelength × 35
Divide both sides by 35
Wavelength = 1500 / 35
Wavelength = 42.86 m
Thus, from the above calculation, we can conclude that the wavelength of the sound wave is 42.86 m
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In a typical lightning strike, 2. 5 c flows from cloud to ground in 0. 20 ms.
The average current during the lightning strike is approximately 12,500 amperes (A). It's important to note that lightning strikes involve extremely high currents and voltages, making them potentially dangerous and capable of causing significant damage.
When a lightning strike occurs, it involves a rapid discharge of electrical energy between a cloud and the ground. The statement you provided indicates that 2.5 coulombs (C) of charge flows from the cloud to the ground in 0.20 milliseconds (ms).
To calculate the average current during this time interval, we can use the formula:
Average current (I) = Charge (Q) / Time (t)
In this case, the charge is 2.5 C, and the time is 0.20 ms (which is equivalent to 0.20 x [tex]10^{(-3)[/tex] seconds). Plugging these values into the formula, we get:
I = 2.5 C / (0.20 x [tex]10^{(-3)[/tex] s)
I = 2.5 C / 2 x [tex]10^{(-4)[/tex]s
I = 12,500 A
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which of the following is not evidence for an fp discussion? select one: a. we can not observe exoplanets around most stars. no, we can overcome this by understanding our observational limitations and account for non-detections. b. we have detected planets in the habitable zone. c. the kepler mission discovered 1000s of exoplanets, but it's success rate was very low. d. we observe disks around young stars. e. exoplanets are detected in binary systems.
We have detected planets in the habitable zone s not evidence against the discussion of the Fermi Paradox. Option B is correct.
The fp discussion refers to the Fermi Paradox, which is the apparent contradiction between the high probability of the existence of extraterrestrial civilizations and the lack of evidence for, or contact with, such civilizations. The presence of exoplanets in the habitable zone is actually evidence supporting the discussion of the Fermi Paradox, which asks why we haven't detected any signs of intelligent extraterrestrial life despite the high probability of its existence.
As the inability to observe exoplanets around most stars does not necessarily imply a contradiction with the Fermi Paradox. In fact, this limitation can be accounted for by understanding our observational capabilities and taking into account non-detections in our analysis. Option B is correct.
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Why do expanding, aging stars become cooler and more luminous? an overproduction of energy causes the outer layers of gas to expand, whereby the energy is absorbed and the temperature increases. the resulting increase in radiated energy leads to increased luminosity. a decrease in energy causes the outer layers of gas to expand and the temperature to decrease. the resulting increase in radiated energy leads to increased luminosity. a decrease in energy causes the outer layers of gas to expand and the temperature to decrease, and the resulting increase in surface area leads to increased luminosity. an overproduction of energy causes the outer layers of gas to expand. when this happens, the surface area increases rapidly while the temperature decreases rather slowly, and therefore the luminosity increases.
Expanding, aging stars become cooler and more luminous because an overproduction of energy causes the outer layers of gas to expand, whereby the energy is absorbed and the temperature increases. the resulting increase in radiated energy leads to increased luminosity
Define luminosity.
The radiant power that a light-emitting device emits over time is known as luminosity, which is an absolute measure of radiated electromagnetic power. The entire quantity of electromagnetic energy that a star, galaxy, or other celestial object emits over the course of one unit of time is known as luminosity in astronomy.
While the star's core contracts, the outer layers expand, and as the expansion continues, the luminosity rises. The radius and luminosity of a star with the mass of the sun expand 100 times throughout this expansion, which takes place over the course of around a billion years.
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Information:
A jet of steam at 100℃ is directed for a short time on to a large block of ice at 0℃. Some of the steam condenses to form water and some ice is melted. The condensed steam forms 0. 40 kg of water at 0℃.
Questions:
1. Calculate the heat given out by this steam in changing to water without change in temperature. [Take the specific latent heat of vaporization of water as 2 200 kJ/kg].
2. Calculate the heat given out by this water as it cools to the temperature of the ice. [Take the specific heat capacity of water to be 4. 2 kJ/(kg K). ]
The heat given out by the steam in changing to water without change in temperature 880 kJ. and the heat given out by the water as it cools to the temperature of the ice is 0 kJ.
What is temperature?Temperature is a measure of the amount of thermal energy present in a system. It is measured using a thermometer and is typically expressed using the Celsius, Fahrenheit, or Kelvin scales. Temperature affects how substances react and interact, how fast molecules move, and how quickly chemical reactions take place.
1. The heat given out by the steam in changing to water without change in temperature can be calculated using the equation Q = m x L,
where m is the mass of the steam and L is the specific latent heat of vaporization.
As 0.40 kg of water condenses from the steam, the mass of the steam is 0.40 kg.
The specific latent heat of vaporization of water is 2 200 kJ/kg.
Therefore, the heat given out by the steam in changing to water without change in temperature is 0.40 kg x 2 200 kJ/kg = 880 kJ.
2. The heat given out by the water as it cools to the temperature of the ice can be calculated using the equation Q = m x c x ΔT,
where m is the mass of the water,
c is the specific heat capacity of water, and
ΔT is the change in temperature.
The mass of the water is 0.40 kg.
The specific heat capacity of water is 4.2 kJ/(kg K). The change in temperature is 0℃ - 0℃ = 0 K.
Therefore, the heat given out by the water as it cools to the temperature of the ice is 0.40 kg x 4.2 kJ/(kg K) x 0 K = 0 kJ.
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A force compresses a bone by 1.0 mm. A second bone has the same cross-sectional area but twice the length as the first. By how much would the same force compress this second bone? 0.50 mm 0 1.0 mm 2.0 mm 4.0 mm 8.0 mm
The compressibility of a bone is dependent on its material properties and geometry. If the first bone was compressed by 1.0 mm, the second bone will be compressed by 2.0 mm. Answer is 2.0 mm.
Since the second bone has the same cross-sectional area but twice the length as the first, it has twice the volume. Therefore, it would be expected to compress twice as much as the first bone, or 2.0 mm.
Hi! When considering the compression of a bone, we can use Hooke's Law, which states that the deformation (compression) is directly proportional to the applied force and inversely proportional to the material's stiffness.
For the second bone with twice the length, the same force will cause a greater deformation since the stiffness will be lower. Given that the cross-sectional area is the same, the second bone will be compressed by twice the amount of the first bone.
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(b) The aluminium wire will break if the tension in the wire exceeds 350N.
The wire is attached to the flagpole at B, 0. 8 m from the wall.
The wire is at an angle of 20° to the flagpole.
Assess whether the wire will break. You should use the principle of moments, taking
moments about 0.
length of flagpole = 1. 2m
mass of flagpole and flag = 15 kg
The wire won't break because the tension is less than 350N. To assess whether the wire will break, we need to calculate the tension in the wire using the principle of moments to do this, taking moments about point 0.
First, we need to calculate the weight of the flagpole and flag. We know that mass = 15 kg, so we can use the formula weight = mass x gravity, where gravity = 9.8 m/s^2. Therefore, weight = 15 x 9.8 = 147 N.
Next, we need to calculate the force exerted by the wire. We can use trigonometry to find the horizontal and vertical components of this force. The horizontal component is given by F_h = F x cos θ, where F is the tension in the wire and θ is the angle between the wire and the flagpole. In this case, F_h = F x cos 20°.
The vertical component is given by F_v = F x sin θ. In this case, F_v = F x sin 20°.
Now, we can take moments about point 0. The weight of the flagpole and flag acts vertically downwards at a distance of 0.8 m from point 0, so its moment is 147 x 0.8 = 117.6 Nm (clockwise).
The force exerted by the wire acts at an angle of 20° to the flagpole, so its horizontal component acts perpendicular to the flagpole and its vertical component acts parallel to the flagpole. The horizontal component has no moment about point 0, so we only need to consider the vertical component. This acts at a distance of 1.2 m from point 0, so its moment is F_v x 1.2 (anticlockwise).
Setting the moments equal to each other, we get:
147 x 0.8 = F_v x 1.2 x sin 20°
Simplifying this equation, we get:
F_v = 78.7 N
To find the tension in the wire, we can use Pythagoras' theorem:
F = √(F_h^2 + F_v^2) = √((F x cos 20°)^2 + 78.7^2)
Simplifying this equation, we get:
F = 87.6 N
Since the tension in the wire is less than 350N, the wire will not break.
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Write an expression for the speed of the heavier mass as a function of their separation distance, r, which is measured cm to cm and decreases over time as the masses move toward each other due to their gravitational attraction.
The speed of the heavier mass as a function of their separation distance, r, can be expressed using the conservation of energy principle.
As the masses move toward each other due to gravitational attraction, their potential energy decreases and their kinetic energy increases, such that the total energy remains constant.
Therefore, we can write: 1/2 * m1 * [tex]v^{2}[/tex] = G * m1 * m2 / r
where m1 is the mass of the heavier object, m2 is the mass of the lighter object, v is the velocity of m1, r is the separation distance between the two objects, and G is the gravitational constant.
Solving for v, we get:
v = sqrt(2 * G * m2 / r)
This expression shows that as the separation distance r decreases, the velocity v of the heavier object increases due to the increasing gravitational attraction between the two masses.
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You are using power pivot for the first time, but you do not see the power pivot tab. what is the most likely reason
The most likely reason for not seeing the Power Pivot tab is that the add-in is not enabled in Excel.
By default, the Power Pivot add-in is not enabled in Excel, and it needs to be enabled manually.
To enable the Power Pivot add-in, go to the File tab in Excel, select Options, and then select Add-Ins. In the Manage box, select COM Add-ins, and then select Go.
In the COM Add-Ins dialog box, select Microsoft Power Pivot for Excel, and then select OK.
After enabling the add-in, the Power Pivot tab should now be visible in Excel.
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Jose does push-ups by applying a force to elevate his body 10 cm off the ground. he does 50 j of work. if jose does each push-up in two seconds, what is the power delivered?
physical science.
help please
Answer:
The power delivered by Jose when doing push-ups is 25 watts.
Step-by-step explanation:
The power delivered by Jose is:
[tex]\sf\qquad\dashrightarrow Power = \dfrac{Work}{Time}[/tex]
We know that Jose did 50 J of work in 2 seconds, so we can substitute these values into the equation:
[tex]\sf:\implies Power = \dfrac{50\: J}{2\: s}[/tex]
[tex]\sf:\implies \boxed{\bold{\:\:Power = 25\: W\:\:}}\:\:\:\green{\checkmark}[/tex]
Therefore, the power delivered by Jose when doing push-ups is 25 watts.
How does a van de graaff generator create static electricity?.
Answer:
The generator makes static electricity the same way you do when you rub your feet on the carpet and then touch a doorknob.
Explanation:
. Inside the generator is a giant rubber band that rubs across a piece of felt, stealing its electrons. The rubber band then spins around and the electrons travel up to the big metal ball on top.
Two charged spheres electron and proton are 10 cm apart attract each other.
The charge of the spheres are 9. 11 x 10-31 C and 1. 67 x 10-27 C. What force results
from each other? What will be the force if the separation is increased to 30 cm?
Force when The seperation is 10 cm= 1.36 x 10^-45 N and when it is 30 cm= 1.51 x 10^-46 N
To answer your question, we will use Coulomb's Law to calculate the force between the charged spheres (electron and proton). Coulomb's Law states:
F = k * (q1 * q2) / r^2
Where F is the force, k is the electrostatic constant (8.99 x 10^9 Nm^2/C^2), q1 and q2 are the charges of the spheres, and r is the distance between them.
Given the charges q1 = 9.11 x 10^-31 C (electron) and q2 = 1.67 x 10^-27 C (proton), and the initial distance r = 10 cm = 0.1 m, we can calculate the force:
F = (8.99 x 10^9 Nm^2/C^2) * (9.11 x 10^-31 C) * (1.67 x 10^-27 C) / (0.1 m)^2
F ≈ 1.35 x 10^-45 N
Now, let's calculate the force when the separation is increased to 30 cm = 0.3 m:
F_new = (8.99 x 10^9 Nm^2/C^2) * (9.11 x 10^-31 C) * (1.67 x 10^-27 C) / (0.3 m)^2
F_new ≈ 1.50 x 10^-46 N
So, the force between the charged spheres when they are 10 cm apart is approximately 1.35 x 10^-45 N, and when the separation is increased to 30 cm, the force becomes approximately 1.50 x 10^-46 N.
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a wire of radius with 3.0 mm and length 200 m is melted into a sphere calculate the radius of the sphere in metres
The volume of wire can be calculated as follows:
V_wire = πr²l
where r is the radius of the wire, and l is the length of the wire.
Substituting the given values, we get:
V_wire = π(3.0 mm)²(200 m) = 1.8 x 10⁶ mm³
To calculate the radius of the sphere, we need to use the formula for the volume of a sphere:
V_sphere = (4/3)πr³
Equating the volume of the wire to the volume of the sphere, we get:
(4/3)πr³ = 1.8 x 10⁶ mm³
Solving for r, we get:
r = (3V_wire/4π)^(1/3)
r = [(3 x 1.8 x 10⁶)/(4π)]^(1/3)
r ≈ 20.15 m
Therefore, the radius of the sphere is approximately 20.15 meters.
The particles ejected from the sun during a coronal mass ejection, if directed at earth, will reach us.
The statement is true.
If the particles ejected from the Sun during a coronal mass ejection (CME) are directed towards Earth, they can reach our planet.
Coronal mass ejections are powerful eruptions of plasma and magnetic field from the Sun's corona. These ejections can release a large amount of highly energetic particles, including protons, electrons, and ions, into space.
When a CME is Earth-directed, it can travel through the interplanetary medium, which includes the solar wind, and reach our planet. The time it takes for the CME to reach Earth can vary, but typically it ranges from a day to a few days.
When the CME particles interact with the Earth's magnetic field, they can cause a variety of effects, including geomagnetic storms and enhanced auroral displays. The charged particles from the CME can also interact with the Earth's magnetosphere, leading to disturbances in the ionosphere and potential disruptions in satellite communication, power grids, and other technological systems.
Scientists and space agencies closely monitor CMEs and their potential impact on Earth using spacecraft and ground-based observatories to provide early warnings and forecasts of their arrival.
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Use your data to predict what a 400g bag would weigh
The volume of the 400g bag of flour is 666.67 cm^3.
This question asks for the calculation of the volume of a 400g bag of flour with a density of 0.6 g/cm^3. The density of a material is defined as its mass per unit volume, and can be expressed mathematically as:
density = mass/volume.
Rearranging the equation to solve for volume, we get:
volume = mass/density.
Substituting the given values, we get:
Volume = 400 g / 0.6 g/cm^3
Solving for the volume, we get:
Volume = 666.67 cm^3
Volume = 400g / 0.6 g/cm^3, which simplifies to 666.67 cm^3.
Therefore, the volume of the 400g bag of flour is 666.67 cm^3.
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--The complete Question is, If a 400g bag of flour has a density of 0.6 g/cm^3, what is its volume in cm^3? --
The force of __________ will be greater if one object has a larger mass than the other
The force of gravity will be greater if one object has a larger mass than the other.
Gravity is the force of attraction between two objects with mass. According to Newton's law of gravitation, the force of gravity between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.
F = G * (m₁ * m₂) / d²
where:
F = force of gravity
G = gravitational constant (a universal constant)
m₁, m₂ = masses of the two objects
d = distance between the two objects
As we can see from the formula, the force of gravity is directly proportional to the masses of the two objects. Therefore, if one object has a larger mass than the other, the force of gravity between them will be greater.
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an 82-kg skater is pushed on a frictionless surface through a straight line displacement
of = (13.2m) î + (18.9m) û by a force = (182n) î + (121n) û .
how much work does the force do on the skater during this displacement?
The force does 4688.3 joules of work on the skater during this displacement.
The work done by a force on an object is defined as the product of the force and the displacement of the object in the direction of the force. In this problem, the displacement vector and the force vector are given.
To calculate the work done on the 82-kg skater during the displacement, you need to find the dot product of the force vector and the displacement vector. Here are the given vectors:
Force vector (F) = (182N) î + (121N) û
Displacement vector (d) = (13.2m) î + (18.9m) û
Work (W) = F • d = (182N * 13.2m) + (121N * 18.9m)
W = (2402.4 J) + (2285.9 J)
W = 4688.3 J
It is important to note that since the surface is frictionless, there is no loss of energy due to friction. This means that the work done by the force is equal to the change in the kinetic energy of the skater.
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