The rate of acceleration at which Matt goes down the slide is equal to 5.32 m/s².
The normal force or [tex]F_{N}[/tex] acts perpendicular to the object.
The angle of inclination = 35°
cosθ = [tex]F_{N}[/tex]/mg
[tex]F_{N}[/tex] = mgcosθ = 85 × 10 × cos 35
= 850 × 0.819 = 696.15 N
To find the force of friction,
μ = 0.050
[tex]F_{f}[/tex] = μ × [tex]F_{N}[/tex]
= 0.050 × 696.15 = 34.80 N
To find the downward component of weight that pulls him down the slide.
sinθ = [tex]F_{d}[/tex]/mg
[tex]F_{d}[/tex] = mgsinθ
= 85 × 10 × sin35
= 850 × 0.5736 = 487.56 N
To find the acceleration,
[tex]F_{net} = F_{d} - F_{f}[/tex]
= 487.56 - 34.80 = 452.76 N
To solve for acceleration,
F = force = 452.76 N
m = mass = 85 kg
Force = mass × acceleration
a = F/m = 452.76/85 = 5.32 m/s²
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what is the equation linking current, potential difference and voltage
Put your finger over P to compute power; this leaves I and V; hence, P = I x V.
What connection exists between voltage and potential difference?The quantity of current multiplied by the resistance equals the potential difference, which is the same as voltage. One Coulomb of charge uses one Joule of energy to move between two locations in a circuit, which is equal to a potential difference of one Volt.
What is a potential difference?Difference that might exist at all between the two points The amount of work required to move a unit positive charge along any path through one point to another without accelerating is referred to as the electric field.
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A 1000 kg car is travelling at 67 mph. When it reaches a construction zone the driver brakes for 200 m until the car is travelling at 49 mph. What force did the brakes apply to the car? Assume that there are 1609 metres in one mile and give your answer to the nearest thousand. use v^2 =u^2 +(2xAxS) and F=ma
Velocity of moving vehicle=v 0, and decceleration =a and Final velocity of the vehicale =0.
What is Velocity?Once more, the stopping distance is far more than the braking distance. It starts when the threat is identified and concludes when the car stops.
The reaction distance plus the braking distance, or points 1 and 2, together make up the stopping distance.
Therefore, in order to compute the necessary stopping distance, I must determine and add two partial values (reaction distance + brake distance). The reaction time is the amount of time it takes for a driver to spot a danger before braking.
Therefore, Velocity of moving vehicle=v 0, and decceleration =a and Final velocity of the vehicale =0.
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Which of these are broken down during chemical, but not physical, changes?
a. elements
b. mixtures
c. solutions
d. compounds
its not a for sure
I think your answer is D
because you already said its not a B is a liquid and not a solid so its harder to have a chemical change C is solutions and D is compound and I know for a fact that a compound is a solid and if C is also a solid then that could also be a possible answer choice.
Compounds can be broken down during chemical, but not physical, changes, therefore the correct answer is option D
What is a Chemical compound?The chemical compound is a combination of two or more either similar or dissimilar chemical elements.
for example, H₂O is a chemical compound made up of two oxygen atoms and a single hydrogen atom.
Electrostatic, covalent, and hydrogen bonds are the three basic types of chemical bonds that are used to generate these chemical compounds from their component atoms.
In a physical change, the substance's shape or appearance changes, but the type of stuff it contains stays the same. In contrast, when matter undergoes a chemical transformation, at least one new substance with novel features is created.
Since compounds can break down with chemical changes but not physical ones, option D is the right response.
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30 points!
Which option best describes a planet with the highest gravity?
a small, high mass planet
a large, low mass planet
a large, high mass planet
a small, low mass planet
Answer:
F = G M m / R^2 or g = F/ m = G M / R^2
(A) A small high mass planet obviously fits the first description.
to the origin is its velocity is and it is subject to a force Find (a) the acceleration of the object, (b) the angular momentum of the object about the origin, (c) the torque about the origin acting on the object, and (d) the angle between the velocity of the object and the force acting on the object.
To find the acceleration, angular momentum, torque, and angle of an object subject to a force and moving towards the origin, we need to know the velocity and force vectors of the object.
(a) the acceleration of the objectThe acceleration of the object can be found by taking the derivative of the velocity vector with respect to time. If the object is moving towards the origin, the acceleration vector would be in the opposite direction of the velocity vector.
(b) the angular momentum of the object about the originThe angular momentum of the object about the origin can be found by taking the cross product of the position vector of the object and its velocity vector. The angular momentum is a vector quantity that is perpendicular to both the position and velocity vectors.
(c) the torque about the origin acting on the object(c) The torque about the origin acting on the object can be found by taking the cross product of the position vector of the object and the force vector acting on it. The torque is a vector quantity that is perpendicular to both the position and force vectors.
(d) the angle between the velocity of the object and the force acting on the object.The angle between the velocity of the object and the force acting on it can be found by taking the dot product of the velocity and force vectors and dividing by the magnitudes of both vectors. The angle between the two vectors is measured in radians and can be used to determine how much the force is affecting the velocity of the object.
It's important to note that all these calculations are vector calculations and they are all performed in three-dimensional space and require knowledge of vector calculus and physics.
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A student watches a video about forces.
The video shows a piece of wood floating in a tank of water.
Write down the name of the non-contact force acting on the wood
and the name of the contact force acting on the wood. [2 marks]
prepare a list of various sources of energy that are used at your home .classify them into renewable and non renewable source of energy
The two energy sources that are used in homes the most are electricity and natural gas. Natural gas is a non-renewable energy source, whereas electricity that is generated from unconventional sources is.
What are some examples of renewable and non-renewable energy sources?Sunlight, water, wind, and geothermal sources like hot springs and fumaroles are examples of renewable resources. Petroleum and coal are examples of fossil fuels that are non-renewable resources. The majority of renewable resources have small carbon footprints and low carbon emissions.
What are the top 5 energy-saving features for homes?A well-built and securely sealed thermal envelope, controlled ventilation, appropriately sized, high-efficiency heating and cooling systems, and energy-efficient doors, windows, and appliances are the essential components of the majority of energy-efficient homes, despite construction costs, options, and styles being different.
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what is the difference about the modern times and ice ages
Answer:
The average temperature is much warmer
Explanation:
A stone is thrown vertically upward with an initial speed of 18.1 m/s. Neglect air resistance. The speed of the stone when it is 8.26 m higher is:
The velocity of the object when it first reaches a height of 8.10 meters is 18.05 m/s.
Calculation-To find the speed of the stone when it is 8.26 m higher, we can use the equation for vertical motion under constant acceleration. The equation is:
v^2 = u^2 + 2as
Where:
v = final velocity (m/s)
u = initial velocity (m/s)
a = acceleration due to gravity (9.8 m/s^2, downward)
s = distance traveled (m)
In this case, the initial velocity is 18.1 m/s, the distance traveled is 8.26 m upward, and the acceleration due to gravity is 9.8 m/s^2 downward. We can substitute these values into the equation and solve for the final velocity.
v^2 = 18.1^2 + 2 * 9.8 * 8.26
v^2 = 327.61
v = sqrt(327.61)
v = 18.05 m/s
Why ignore air resistance while calculating projectile motion?Air resistance is the term for the frictional force that slows an object's velocity as it moves through the air. Although air resistance considerably affects trajectory motion, it is not taken into account in beginning physics due to the complexity of the calculations.
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A 1,000-kilogram car traveling with a velocity of +20 meters per second decelerates uniformly for 4 seconds until it comes to rest. Calculate the net force on the
car in Newtons
The required net force on the car with certain mass and travelling with deceleration is said to be 5000 N.
Given that,
Mass of the car m = 1000 kg
Velocity of the car v = 20 m/s
Time t = 4 sec
Net force on the car = ?
According to Newton's second law of motion, it is said mathematically that, F = m a ---(1)
Acceleration a can be written as the rate of velocity.
a = (v-u)/t = (0 - 20)/4 = - 5 m/s² ---(2)
Substituting (2) in (1) we have,
F = m a = 1000 × - 5 = -5000 kg m/s² or -5000 N
Thus, the required net force on the car is 5000 N.
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what is the reading of the energy meter in figure 1 when an appropriate laser is used in pac to dissociate a particular chemical bond?
According to this, the laser always has higher energy than what is required to break the bond. A portion of the energy is utilized to break the bond, the rest is transformed into heat.
How is an energy meter measured?Kilowatt-hours are the unit used by your electric meter to measure power use. One kilowatt hour is equal to one thousand watt-hours. For instance, the energy usage is computed as 100 watts x 10 = 1,000 watts if a 100-watt light bulb is on for 10 hours.
How is electrical energy measured?Watts are units used to measure the power of electricity. One ampere under the pressure of one volt is equal to one watt of electrical power. The power of one watt is negligibly little.
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how do smaller summer ice flores affect polar bears physically?
A. They are eating the same foods as grizzly bears eat
B. Bears are learning to swim in open waters better
C. Bears lose necessary body fat because they must swim longer in open ocean water
D. It has very little effect on bears because they wait until the weather cools
Answer:
C. Bears lose necessary body fat because they must swim longer in open ocean water
Explanation:
what was the main cause of the near extinction of the black-footed ferret?
A. Climate change
B. Dwindling prairie dog populations
C. Natural predators
D. For hunters hunted them to extinction
Answer:
b
Explanation:
The work you do when pushing a shopping cart twice as far while applying double the force is
A) half as much
.B) twice as much.
C) four times as much.
D) the same amount.
The work you do when pushing a shopping cart twice as far while applying double the force is twice as much as force.
What is Force?
A push or pull that an object experiences as a result of interacting with another item is known as a force. Every time two items interact, a force is exerted on each of the objects. The force is no longer felt by the two objects when the interaction ends.
Contact forces are the kinds of forces that develop when two objects interact and appear to be in physical contact with one another. Frictional forces, tensional forces, normal forces, air resistance forces, and applied forces are a few examples of contact forces.
Forces that come from action at a distance.
Therefore, The work you do when pushing a shopping cart twice as far while applying double the force is twice as much as force.
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A thermodynamic system undergoes a process in which its internal energy decreases by 500 joules. at the same time, 220 joules of work is done on the system. what is the amount of heat transferred to or from the system?
a. 280 joules
b. 720 joules
c. -280 joules
d. -720 joules
e. 0 joules
The amount of heat transferred from the system is -720j, hence option d is the proper response. It passes through a process where its internal energy drops by 500 joules in a thermodynamic system.
The system receives 220 joules of work at the same time. A thermodynamic system's internal energy is the energy that it contains, excluding the energies that are determined by how it interacts with its environment, such as the system's overall kinetic energy of motion and its overall potential energy with regard to external force fields. The definition of heat in thermodynamics is the kind of energy that crosses a thermodynamic system's boundary.
U = Q+W
Q = U - W Q = -500 -220 = -720J
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Why is torque greatest at 90 degrees?
Torque is defined as the cross product of the force and the distance from the center to the point of application (force = r * F * sin) (theta)
Where is the maximum torque?Keep in mind that at 90 degrees, the torque is at its highest level. Finding the lever arm and multiplying it by the applied force is a useful method for calculating the amount of torque. The distance that separates the force's line of action from its rotational axis is known as the lever arm.
Why does a 90-degree angle matter?Perpendicular describes two straight lines that meet at a 90-degree angle. When it comes to geometric proofs and examining various vertices and angles, perpendicular lines can be used in a variety of ways. They are helpful for making sure things are straight and aligned properly when painting or building.
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Why is 90 degrees the best angle for maximum height and air time?
The best angle for maximum height and air time when launching an object is 90 degrees. At 90 degrees, the vertical velocity component is at its maximum, allowing the object to reach the highest point. Additionally, the horizontal velocity component is at its minimum, which means that the object will spend more time in the air.
This is because at 90 degrees, the object is moving straight upward and as gravity acts vertically downwards, the object will reach highest point and stay there for longer time as compare to other angles.
However, it's important to note that 90 degrees is ideal for maximum height, but not for maximum distance traveled. For maximum distance, the optimal angle would be 45 degrees, where the horizontal velocity and vertical velocity are equal, as the object will both travel the farthest and reach the highest point.
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a log with a mass of 14 kg is suspended by two ropes, one at either end. What is the tension force in each rope
According to the given statement The tension force in each rope is T = 14g/2Sin N, according to the information provided.
What is tension force ?Tension is the force that is transmitted through a cable, rope, or wires when it is stretched by loads exerted from opposing sides. The bodies are put through an identical degree of strain at each end of the wire by the tension force, which is exerted all along entire of the wire's length.
Let the tension in each rope be T₁ & T₂
Also, T₁ = T₂ = T
T₁ Sinθ + T₂ Sinθ = mg
2T Sinθ = mg
2T Sinθ = 14g
T = 14g/2Sinθ
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Which of the following objects will exert the greatest gravitational force on a box, if the distance between them remains the same?
2 kg mass
4 kg mass
6 kg mass
8 kg mass
Given :
Some objects with different mass.
To Find :
Which of these object will exert the greatest gravitational force on a box, if the distance between them remains the same.
Solution :
We know, gravitation force between two object is given by :
[tex]F = \dfrac{Gm M}{d^2}[/tex]
Here m, G and d are constant.
From the above equation we can see that if every other thing remains constant the gravitations force remains constant if mass of other plant increase.
Therefore, object of mass 8 kg will exert the greatest gravitational force on a box.
Answer: 8 kg mass
Explanation:
Took the test
How do you find the value of T when a particle is at rest?
The value of T when a particle is at rest is 0. The velocity of the particle at t=0 is zero because the particle is in rest position and did not moving at any of the instance or travelling at an uniform speed through out the whole journey or yet did not start from the source point.
Velocity is the rate of change of velocity. At any point on a trajectory, the magnitude of the velocity is given by the rate of change of velocity in both magnitude and direction. Velocity of the body that we can consider is the increasing value of the velocity of any object at a constant rate and that of we can calculate. Hence by the primary information that we have we can formerly consider that the velocity which is acting on the particle at t=0 is zero because the particle is in rest position and did not moving at any of the instance or travelling at an uniform speed through out the whole journey or yet did not start from the source point and the value of T when a particle is at rest is zero.
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When a body changes we know that its momentum changes.
Answer:
ok
Explanation:
Answer:
The change of movement depends on the force that acts and the length of time it acts.
help, anyone?? please:/
A car is travelling along a horizontal road in an easterly direction. The car has a mass of 2300 kg and the drag force (friction) acting on the car is a constant 5000 N to the west.
The car is initially travelling at a speed of 10 m s‒1 and 20 s later is travelling at a speed of 14 m s‒1.
What is the gravitational force on the car?
What is the vertical normal (support/reaction) force acting on the car?
What is the horizontal force on the cars tyres from the road?
The gravitational force on the car is 23000 N, the vertical normal (support/reaction) force acting on the car is 0 N, and the horizontal force on the car's tyres from the road is 5460 N.
Mass of the car, m = 2300 kg
Force acting on the car, F = 5000 N
The initial speed of the car, u = 10 m/s
The final speed of the car, v = 14 m/s
Time, t = 20 s
The gravitational force on the car is calculated by the formula given as
F = mg
F = 2300 × 10
F = 23000 N
Now, as there is no vertical movement in the car therefore the vertical force acting on the car is 0 N.
The horizontal force on the car's tyres from the road
= force acting on the car + net force on the car
= 5000 + ma
= 5000 + 2300 × (v-u)/t
= 5000 + 2300 × (14 - 10)/20
= 5000 + 2300 × 4/20
= 5000 + 460
= 5460 N
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The waves in the electromagnetic spectrum have a speed that A. Increases in proportion to the frequency of the wave B. Increase in proportion to the wavelength of a wave C. That stays the same
Answer:
B. Increase in proportion to the wavelength of a wave.
Explanation:
An electromagnetic spectrum refers to a range of frequency and wavelength that an electromagnetic wave is distributed or extends. The electromagnetic spectrum comprises of gamma rays, visible light, ultraviolet radiation, x-rays, radio waves, and infrared radiation.
Electromagnetic waves is a propagating medium used in all communications device to transmit data (messages) from the device of the sender to the device of the receiver.
Generally, the most commonly used electromagnetic wave technology in telecommunications is radio waves.
Radio waves can be defined as an electromagnetic wave that has its frequency ranging from 30 GHz to 300 GHz and its wavelength between 1mm and 3000m. Therefore, radio waves are a series of repetitive valleys and peaks that are typically characterized of having the longest wavelength in the electromagnetic spectrum.
Wavelength is simply the distance from one peak of an electromagnetic wave to the next peak. This distance is also equal to the distance from one trough of a wave to another.
Mathematically, wavelength is calculated using this formula;
[tex] Wavelength = \frac {speed}{frequency} [/tex]
Hence, the waves in the electromagnetic spectrum have a speed that increase in proportion to the wavelength of a wave.
Select ALL that describe what the atmosphere does for the earth.Atmosphere is a layer of gases that surround the earth.
Absorbs energy from sun
Protects and supports life
Recycles water and other chemicals
Protects life from high energy radiation and frigid vacuum of space
Answer:
A, B, C, E
Explanation:
The atmosphere does not recycle water and other chemicals
How much would you have to pay SP Services if you
used two 40 W lamps and a 120 W television for 5 hour a
day for the month of April? (Assume the cost of 1 kWh
of energy to be 16 cents).
Answer:
$4.80
Explanation:
Total energy used is found with this formula:
[tex]E = Pt[/tex]
where:
[tex]E[/tex] is energy (in kilowatt-hours)
[tex]P\\[/tex] is power ( in Kilowatts)
[tex]t[/tex] is time ( in Hours)
We can find the total power consumption by adding all the appliances, then dividing by 1000 to convert it from Watts to Kilowatts:
[tex]\frac{(40*2)+120}{1000} =0.2kW[/tex]
And then find [tex]E[/tex] with 5 hours a day for 30 days:
[tex]E= 0.2*(5*30)=30kWh[/tex]
Thus, cost needed would be:
$0.16 × 30 = $4.80
A rope of length L is attached to a support at point C. A person of mass m, sits on a ledge at position Aholding the other end of the rope so that its horizontal and taut, as shown above. The person then dropsoff the ledge and swings down the rope toward position B on the lower ledge where an object withmass m₂ is at rest. At position B the person grabs hold of the object and simultaneously lets go of therope. The person and object then land together in the lake at point D, which is a vertical distance Lbelow position B. Air resistance and mass of the rope are negligible. Derive expressions for each of thefollowing in terms of m₁, m₂, L, and g.
Insignificant are air resistance and rope mass. Point C on a support is where a rope of length L is fastened.
What is meant by mass?As a measure of inertia, which is a characteristic of all matter, mass is used in physics. Effectively, it is the resistance a body of matter offers to a change in its speed or position as a result of the application of a force. The change caused by an applied force is proportional to the mass of the body.The amount of matter that makes up any object or body is best referred to as its mass. All of the objects we perceive have mass. There is mass in objects like tables, chairs, beds, footballs, glasses, and even air. As a result, every object has a mass, which determines whether it is light or heavy.The amount of matter in a thing is measured by its mass.To learn more about mass refer to:
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When building a device or structure, engineers must carefully consider how the materials they choose will change when heated or cooled. List four situations where thermal expansion and contraction could be a problem.
There are three infrastructure projects wherein thermal expansion & contraction may be a problem are constructing roads, towers, and sidewalks.
What does thermal expansion mean?The propensity of matter to alter structure, volume, or area in reaction to a temperature change is known as thermal expansion. The average molecular energy of a substance has a monotonic relationship with temperature. Heat makes molecules move more quickly & take up more space, which causes thermal expansion.
What is a good illustration of thermal expansion?The expansion of heated air is the most obvious example. Heat helps the air expand, making it lighter than the air around it. This causes the hot air to be forced (upward), which causes steam and smoke to rise, warm air balloons to float, and so on.
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The goal of this experiment was to answer the question, "How does diffraction occur?" Suppose you formulated this alternate hypothesis:
If the gap width is increased while keeping wavelength constant, then the observed diffraction will decrease because the less the ratio between wavelength and gap width is, the smaller the observed diffraction angle will be.
To test this hypothesis, you would change the gap widthdiffraction anglewavelength and observe the gap widthdiffraction anglewavelength in the system.
Therefore, the independent variable would be the gap widthdiffraction anglewavelength and the dependent variable would be the gap widthdiffraction anglewavelength.
The spreading of waves as they go through an aperture or around objects is known as diffraction. When the wavelength of the incident wave and the size of the aperture or obstruction are on the same order of magnitude, it happens.
What causes diffraction?"More specifically, when applied to light, diffraction of light happens when a light wave travels past a corner or through an opening or slit that is physically smaller than the wavelength of that light, if not smaller.
The main diffraction-causing factor is what?The most frequent instance of diffraction is water waves that bend around a fixed object. Around the border of an item, light flexes similarly. Two tiny apertures are depicted in the animation as wave fronts travel through them.
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Write a decomposition chemical reaction caused by light.
A decomposition chemical reaction caused by light is the decomposition of hydrogen peroxide.
It is represented by the following equation:
[tex]2 H_{2} O_{2}(aq)[/tex] → [tex]2 H_{2}O(l)[/tex] [tex]+ O_{2} (g)[/tex]
The decomposition of hydrogen peroxide is a chemical reaction in which hydrogen peroxide is broken down into its component parts: water and oxygen gas.
This reaction is typically caused by the absorption of light energy, which causes the chemical bonds within the hydrogen peroxide molecule to break.
This reaction is often used as a demonstration of the principles of light-induced decomposition reactions, as it is relatively simple and easy to observe.
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