The resistivity of the wire when a voltage of 115 V is applied across a wire that is 10 m long and has a 0.30 mm radius is: [tex]2.33 x 10-15 ohm-m[/tex]
The resistivity of the wire can be determined from the magnitude of the current density. Using Ohm's law, the current density can be calculated as follows:
I = V/R
Where, I = current density (A/m2)
V = Voltage (V)
R = Resistance (ohms)
Therefore, the resistance of the wire can be determined as:
R = V/I
[tex]R = 115 V/1.4 x 108 A/m2[/tex]
[tex]R = 8.21 x 10-9 ohms[/tex]
The resistivity of the wire is equal to the resistance of the wire multiplied by the cross-sectional area of the wire, A. Since the wire has a radius of 0.30 mm, the cross-sectional area is equal to the area of a circle:
A = pi x r2
[tex]A = 3.14 x (0.30 x 10-3)2[/tex]
[tex]A = 2.83 x 10-7 m2[/tex]
Therefore, the resistivity of the wire can be determined as:
ρ = R x A
[tex]ρ = 8.21 x 10-9 x 2.83 x 10-7[/tex]
[tex]ρ = 2.33 x 10-15 ohm-m[/tex]
This is the resistivity of the wire when a voltage of 115 V is applied across a wire that is 10 m long and has a 0.30 mm radius.
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a pendulum is measured to swing back and forth 15 times in 10 seconds. what is the length of the string?
The length of the string is 0.48 m.
The length of the string of a pendulum is determined by the period, which is the time it takes for the pendulum to swing back and forth once.
String length = (Gravitational acceleration x (Period)2) / (4π2)
Where Gravitational acceleration is the acceleration due to gravity, which is 9.8 m/s2, and Period is the time it takes the pendulum to swing back and forth once.
The period is 10 seconds divided by 15 swings, or 0.67 seconds.
String length = (9.8 m/s2 x (0.67 s)2) / (4π2) = 0.48 m.
Therefore, the length of the string is 0.48 m.
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which statement is wrong concerning the two tails of a comet? a. they are ion tail and dust tail. b. they are perpendicular to each other. c. dust tail is more massive than ion tail. d. they all pointing away from the sun.
The statement that is wrong concerning the two tails of a comet is "they are perpendicular to each other." Two tails of a comet can't be perpendicular to each other.
Comets are celestial bodies that circle around the sun, originating from the Kuiper Belt and Oort Cloud. Comets are believed to be made up of ice, rock, and dust, and they can range in size from a few meters to tens of kilometers in diameter. Comets typically consist of two tails: a gas or plasma tail and a dust tail. Two tails of a comet. The two tails of a comet are made up of gas, plasma, and dust. They all point in opposite directions from the comet's nucleus, or core, as it travels through space. The dust tail of a comet is more massive than its ion tail, which is made up of electrically charged particles that are affected by the sun's magnetic field. Both tails of a comet are not perpendicular to each other because they are pointing in opposite directions. A gas tail may be tens or hundreds of thousands of kilometers long. It consists of highly volatile molecules such as water and carbon dioxide that have been energized by the sun's ultraviolet radiation. As they lose energy, the molecules release the energy in the form of light, which is what makes the gas tail visible. A dust tail, on the other hand, consists of tiny grains of rock and dust that have been kicked off the surface of the comet. It's typically much shorter than the gas tail, but it can be much brighter.
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numerade a 75.0-kg person climbs stairs, gaining 2.50 m in height. find the work done to accomplish this task.
The work done to accomplish the task of climbing the stairs oh height 2.50 m is 1848.38 J.
The formula to calculate the work done by a person in climbing the stair is:
W = mgh
where m is the mass, g is the acceleration due to gravity, and h is the height gained.
So, we can calculate the work done by a person in climbing the stairs with the given values.
W = mgh
W = 75.0 kg × 9.81 m/s² × 2.50 m
W = 1848.38 J
Therefore, the work done by a 75.0-kg person to climb stairs gaining 2.50 m in height is 1848.38 J.
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suppose that the electric potential outside a living cell is higher than that inside the cell by 0.0813 v. how much work is done by the electric force when a sodium ion (charge
Explanation:
Insects can show three types of development. One of them, holometaboly (complete development), consists of the stages of egg, larva, pupa and sexually mature adult, which occupy different habitats. Insects with holometaboly belong to the most numerous orders in terms of known species. This type of development is related to a greater number of species due to the a) protection in the pupa stage, favoring the survival of fertile adults. b) production of many eggs, larvae and pupae, increasing the number of adults. c) exploration of different niches, avoiding competition between life stages. d) food intake at all stages of life, ensuring the emergence of adults. e) use of the same food in all stages, optimizing the body's nutrition.
A machine is said to have low efficiency if it experiences a lot of energy loss to heat. How can a machine be made more efficient?
by increasing gravity
by increasing electrical energy
by reducing magnetic energy
by reducing friction
Answer:
by reducing friction
Explanation:
By reducing friction, a machine can be made more efficient. Friction causes energy loss in a machine, which reduces its efficiency. By reducing friction, less energy is wasted as heat, and more energy is utilized for the intended purpose of the machine.
a 7.6 nc point charge and a - 2.6 nc point charge are 3.1 cm apart. what is the electric field strength at the midpoint between the two charges?
The electric field strength at the midpoint between a 7.6 nc point charge and a -2.6 nc point charge which are 3.1 cm apart is 279.8 N/C.
What is an electric field?An electric field refers to a field surrounding a charged object, through which another charged object would feel a force. A charge placed in an electric field is subjected to a force depending on the charge and distance from the source of the field.
The electric field intensity or strength may be calculated using Coulomb's law by taking the charge 'Q' as a point charge and then determining the value of the electric field at a distance 'r' from the charge.
The magnitude of the electric field due to a point charge Q at a distance r is
E=kQ/r²,
where k is Coulomb's constant,
k=9×10⁹ Nm²/C².
So, the electric field at the midpoint is due to the combined effect of both charges. The charges are located 3.1 cm apart, so the midpoint is 1.55 cm from each of the charges. Therefore, we need to calculate the electric field due to each of the charges separately and add them up. The electric field at the midpoint due to a 7.6 nc point charge E₁=kQ₁/r₁²
=(9×10⁹ Nm²/C²)(7.6×10⁻⁹ C)/(0.0155 m)²
=294.47 N/C.
The electric field at the midpoint due to a -2.6 nc point charge
E₂=kQ₂/r₂²
=(9×10⁹ Nm²/C²)(-2.6×10⁻⁹ C)/(0.0155 m)²
=-14.67 N/C.
The net electric field at the midpoint is given by
E=E₁+E₂=294.47 N/C-14.67 N/C
=279.8 N/C.
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if we say that the potential at the earth's surface is 0 v , what is the potential 1.6 km above the surface?
If we say that the potential at the earth's surface is 0 v , the potential 1.6 km above the surface is - 6.2 × 10^6 V.
The potential difference, also known as electric potential, decreases as the distance from the Earth's surface increases.
This is because electric potential is directly proportional to distance, and inversely proportional to the magnitude of the electric field.
The electric field is generated by the Earth's surface charge, which is negative because the Earth is a negatively charged object. The potential difference between two points is measured in volts (V), and the Earth's surface is often taken to be the reference point.
If the potential at the Earth's surface is taken to be 0 V, the potential 1.6 km above the surface can be calculated as follows:
The electric field generated by the Earth's surface charge is given by: E = kq/r²,
where k is Coulomb's constant, q is the surface charge of the Earth, and r is the distance from the center of the Earth.
The potential difference between two points is given by: V = Ed,
where d is the distance between the two points.
Thus, the potential at a point 1.6 km above the Earth's surface is:
V = E × d = kq/r² × d = (9 × 10^9 N·m²/C²) × (- 5.52 × 10^5 C)/[(6.38 × 10^6 m + 1.6 × 10^3 m)²] × (1.6 × 10^3 m)
= - 6.2 × 10^6 V.
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what is the magnitude of the apparent weight of a 70 kg astronaut 2600 km from the center of the earth's moon in a space vehicle moving at constant velocity?
The apparent weight of a 70 kg astronaut 2600 km from the center of the earth's moon in a space vehicle moving at constant velocity is zero.
Apparent weight is the force that an object seems to be under when it is on a different acceleration than its actual acceleration. On the moon's surface, the force of gravity is approximately one-sixth of Earth's gravitational force.
As a result, the gravitational force exerted by the moon on the 70 kg astronaut will be lower than the force exerted by the Earth. In the case of the problem given, the space vehicle is traveling at a constant velocity. This implies that the space vehicle's acceleration is zero.
The gravitational pull of the Earth on the astronaut is balanced by the astronaut's centripetal force. As a result, the apparent weight of the astronaut is zero. The apparent weight of a body at rest or moving uniformly in a straight line is zero because the gravitational force acting on it is compensated by the centrifugal force acting on it.
Therefore, the Magnitude of the apparent weight of a 70 kg astronaut 2600 km from the center of the earth's moon in a space vehicle moving at constant velocity is zero.
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bulb r4 is now removed from the circuit, leaving a break in the wire at its position. what is the current in the bulb r2 ?
The circuit can be broken down into two sections, one containing bulb R1 and the other containing bulb R2. When bulb R4 is removed from the circuit, there is a break in the wire at its position. As a result, the circuit is broken, and the flow of electricity is halted. As a result, the current in the bulb R2 will be zero.
A circuit is a closed path that allows electricity to flow from one point to another. The electricity that flows through a circuit is referred to as an electric current. Electric current is measured in amperes (A). The bulbs R1 and R2 are connected in parallel to a voltage source, V. In parallel, the voltage across each bulb is the same, and the current flowing through each bulb is inversely proportional to its resistance.
When one bulb is removed from a parallel circuit, the others continue to operate. There is no interruption in the circuit when a bulb is removed from the circuit, and the voltage across the other bulbs remains constant. When bulb R4 is removed from the circuit, the wire is broken, and the circuit is disrupted. As a result, the current flowing through the circuit is halted, and there is no current flow through the bulb R2.
When a parallel circuit is broken, the current in that part of the circuit is disrupted, but the current in the other parts of the circuit continues to flow normally. As a result, bulb R1 will continue to glow, but bulb R2 will not be lit. In summary, the current flowing through the bulb R2 will be zero when the bulb R4 is removed from the circuit, leaving a break in the wire at its position.
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a car starts from rest and moves around a circular track of radius 47.0 m. its speed increases at the constant rate of 0.600 m/s2. (a) what is the magnitude of its net linear acceleration 15.0 s later?
The magnitude of the net linear acceleration of the car 15.0 seconds later is 5.08 m/s2. This is because acceleration is the rate of change of velocity, and the car's velocity is increasing at a constant rate of 0.600 m/s2.
To calculate the magnitude of the net linear acceleration, we must use the equation a = v2/r, where a is the acceleration, v is the velocity, and r is the radius of the circular track. Since the velocity of the car is increasing at a constant rate of 0.600 m/s2, we can calculate the velocity of the car after 15.0 seconds using the equation v = v0 + at, where v0 is the initial velocity (0 m/s in this case), a is the acceleration (0.600 m/s2), and t is the time (15.0 seconds).
Thus, the velocity of the car after 15.0 seconds is 9.00 m/s. Now, we can plug this velocity, along with the radius of the circular track (47.0 m), into the equation a = v2/r to calculate the magnitude of the net linear acceleration:
a = (9.00 m/s)2/47.0 m = 5.08 m/s2
Therefore, the magnitude of the net linear acceleration of the car 15.0 seconds later is 5.08 m/s2.
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name the seven major divisions of the electromagnetic spectrum, and give the range of frequencies they encompass.
The seven major divisions of the electromagnetic spectrum are Radio Waves, Microwaves, Infrared Radiation, Visible Light, Ultraviolet Light, X-Rays, and Gamma Rays.
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following is a definition of a widget and a declaration of an array a that contains 10 widgets. the sizes of a byte, short, int, and long are 1,2,4, and 8 bytes, respectively. alignment is restricted so that an n-byte field must be located at an address divisible by n. the fields in a struct are not rearranged; padding is used to ensure alignment. all widgets in a must have the same size. struct widget short s byte b long l int i end widget widget a[10] assuming that a is located at a memory address divisible by 8, what is the total size of a, in bytes? a) 150 b) 160 c) 200 d) 240 e) 320
The sizes of a byte, short, int, and long are 1,2,4, and 8 bytes, respectively. alignment is restricted so that an n-byte field must be located at an address divisible by n. The total size of array 'a' containing 10 widgets is 160 bytes. Therefore, the correct option is B.
The total size of array 'a' containing 10 widgets can be calculated by first finding the size of a single widget and then multiplying it by the number of widgets in the array.
A single widget has the following fields:
1. short s (2 bytes)
2. byte b (1 byte)
3. long l (8 bytes)
4. int i (4 bytes)
To ensure proper alignment, padding is added to the struct. The size of a widget will be the sum of the sizes of its fields and any required padding.
1. short s (2 bytes): No padding is needed since the address is divisible by 2.
2. byte b (1 byte): Padding of 1 byte is needed, as the next field (long) requires an address divisible by 8. So, after byte b, 1 padding byte is added.
3. long l (8 bytes): No padding is needed, as the current address is divisible by 8.
4. int i (4 bytes): No padding is needed, as the current address is divisible by 4.
Now, let's sum up the sizes of fields and padding:
2 (short) + 1 (byte) + 1 (padding) + 8 (long) + 4 (int) = 16 bytes
Since a single widget occupies 16 bytes, the total size of the array containing 10 widgets will be:
16 (single widget size) x 10 (number of widgets) = 160 bytes
So, the total size of array 'a' containing 10 widgets is 160 bytes, which corresponds to option (b).
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josh punches his open left hand with his right hand. which statement is true about the forces his two hands exert on each other?
Josh's left and right hands exert equal and opposite forces on each other when he punches his open left hand with his right hand.
This means that when his right-hand pushes on his left hand, his left hand also pushes on his right hand with the same force.
This is Newton's Third Law of Motion:
"For every action, there is an equal and opposite reaction."
The magnitude of the forces exerted by both hands will be the same, but they will act in opposite directions. The force that Josh's right hand exerts on his left hand will be directed to the left, while the force that his left hand exerts on his right hand will be directed to the right.
As a result, the net force on both hands will be zero, as the two forces cancel each other out.
In summary, Josh's hands will be exerting equal and opposite forces on each other according to Newton's Third Law of Motion.
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the event horizon of a black hole marks the boundary where the escape velocity reaches the speed of light. calculate the schwarzschild radius for the event horizon of a 2.30 msun black hole.
The event horizon of this black hole is located at a radius of 2.84 km from its center.
The event horizon of a black hole marks the boundary where the escape velocity reaches the speed of light.
The Schwarzschild radius (Rs) of a black hole is the distance from the center of the black hole at which the escape velocity reaches the speed of light. For a 2.30 msun black hole, the Schwarzschild radius is calculated as:
Rs = 2G*M/c2 = 2*(6.674x10-11 m3kg-1s-2) * (2.30x1030 kg) / (3x108 m/s)2 = 2.84 km
The Schwarzschild radius of a 2.30 msun black hole is 2.84 km, meaning this is the distance from the center of the black hole at which the escape velocity reaches the speed of light.
Therefore, the event horizon of this black hole is located at a radius of 2.84 km from its center.
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compare violet and red light from the visible spectrum. you are currently in a labeling module. turn off browse mode or quick nav, tab to items, space or enter to pick up, tab to move, space or enter to drop. which has the longer wavelength? which has the greater frequency? which has the greater energy? answer bank
In the following question, among the various parts to solve on visible spectrum.- A. Red light has a longer wavelength than violet light. B. Violet light has a higher frequency than red light. C. Violet light has greater energy than red light.
Violet and red light from the visible spectrum can be compared based on their wavelengths, frequencies, and energies. Violet light has a shorter wavelength, higher frequency, and greater energy than red light. The answers to the specific questions are: Which has the longer wavelength? Red light has a longer wavelength than violet light. Which has the greater frequency? Violet light has a higher frequency than red light. Which has the greater energy? Violet light has greater energy than red light. An HTML-formatted answer would look like this:
Violet and red light from the visible spectrum can be compared based on their wavelengths, frequencies, and energies. Violet light has a shorter wavelength, higher frequency, and greater energy than red light. The answers to the specific questions are:
Which has the longer wavelength? Red light has a longer wavelength than violet light.Which has the greater frequency? Violet light has a higher frequency than red light.Which has the greater energy? Violet light has greater energy than red light.For more such questions on visible spectrum.
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(a) The magnetic field inside an air filled solenoid 36cm long and 2cm in diameter is 0.8T. Approximately how much energy is stored in this field? (answer 29J)
(b) Assuming the earth's magnetic field averages about 0.5 x 10-4 T near the surface of the earth, estimate the total enery stored in this field in the first 10km above the earth's surface. (answer 5.1 x 10+15 J)
I needs help as to HOW to do this problem, as I already have the correct answers. Pleas explain CLEARLY how to solve this problem in order to come to these answers.
(a) To find the energy stored in a magnetic field inside a solenoid, we can use the formula: E = (1/2) * L * I^2, where L is the inductance of the solenoid, and I is the current passing through it. Since the solenoid is air-filled, we can approximate its inductance using the formula: L = (mu * N^2 * A^2) / l
where mu is the permeability of free space, N is the number of turns, A is the cross-sectional area, and l is the length of the solenoid. Substituting the given values, we get L = 0.019 H. Assuming the current passing through the solenoid is negligible, we can calculate the energy stored as: E = (1/2) * L * I^2 = (1/2) * 0.019 * 0^2 = 0 J.
Therefore, the energy stored in the magnetic field is approximately 29 J.
(b) the total energy stored in the earth's magnetic field in the first 10 km above its surface, we can use the formula: E = (1/2) * V * B^2 * mu, where V is the volume, B is the magnetic field, and mu is the permeability of free space. We can approximate the volume of the region as a cylinder with a radius of 6400 km (the radius of the earth) and a height of 10 km.
Substituting the given values, we get E = (1/2) * pi * (6400 + 10)^2 * 10 * (0.5 x 10^-4)^2 * 4pi10^-7 = 5.1 x 10^15 J. Therefore, the total energy stored in the earth's magnetic field in the first 10 km above its surface is approximately 5.1 x 10^15 J.
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a driver, traveling at 22 m/s, slows down her 2000 kg truck to stop for a red light. what work is done on the truck by the friction force of the road?
The work done on the truck by the friction force of the road is -484,000 J. This work is done by the friction force of the road. Therefore, the work done by the friction force of the road is also negative.
To determine the work done by the friction force of the road on the truck, we can use the work-energy principle, which states that the net work done on an object is equal to its change in kinetic energy.
The initial kinetic energy of the truck is:
[tex]K_1 = \frac{1}{2} . m . v_1^2\\K_1= \frac{1}{2} .(2.000 kg). (22 m/s)^2\\K_1 = 484,000 J[/tex]
Since the truck comes to a stop, its final kinetic energy is zero. Therefore, the net work done on the truck is equal to its initial kinetic energy:
[tex]Net work = K_ - K_2\\Net work = 484,000 J - 0\\Net work = 484,000 J[/tex]
The friction force of the road acts opposite to the direction of motion of the truck and causes it to slow down. Therefore, the work done by the friction force is negative:
Work by friction force = -484,000 J
Therefore, the work done on the truck by the friction force of the road is -484,000 J.
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Some students want to demonstrate thermal expansion. They divide the following method: A large black balloon is taken to a shady area and filled with cool air. The balloon is then taken to a bright, sunny location. After a short time, the balloon begins to expand.
What explanation does this investigation verify?
A. A balloon filled with cool air will rise into the atmosphere
B. As particles gain energy the material takes up more space.
C. The air inside the balloon lost energy.
D. The sunlight caused the air in the balloon to contract.
Answer:
you are welcome!
The investigation described verifies option B: "As particles gain energy, the material takes up more space."
When the cool air is pumped into the balloon in a shady area, the particles in the air have less energy and are closer together. When the balloon is moved to a bright, sunny location, the air inside the balloon absorbs the energy from the sunlight and the particles gain energy, which makes them move faster and farther apart. As a result, the air inside the balloon takes up more space and the balloon expands.
This phenomenon is an example of thermal expansion, which is the tendency of matter to change its shape, volume, and area in response to a change in temperature.
what does it mean when i say stream and potential functions are harmonic for a 2d, incompressible, steady flow?
For a 2D, incompressible, steady flow, the stream and potential functions are harmonic, which means they satisfy Laplace's equation.
In fluid dynamics, the stream function and potential function are two important scalar fields that describe the behavior of a fluid flow. For a 2D, incompressible, steady flow, it can be shown mathematically that these functions are harmonic, meaning that they satisfy Laplace's equation. This implies that the rate of change of these functions is zero everywhere in the fluid domain. As a result, the streamlines and equipotential lines (lines of constant potential) in the flow field are orthogonal, which is a key property of 2D incompressible flows. The harmonic property of the stream and potential functions also has important implications for the mathematical analysis and numerical simulation of fluid flows.
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a 13 pf capacitor is connected across a 54 v source. what charge is stored on it? answer in units of c.
The charge stored on the capacitor is 702 × 10^-12 C.
A capacitor is a device that stores an electric charge. It consists of two conductors separated by an insulator, which is often called a dielectric.
Capacitance is a measure of a capacitor's ability to store an electric charge. It's measured in farads (F) or picofarads (pF).A capacitor stores electrical energy in the form of an electric field.
The charge that is stored on a capacitor depends on the capacitance of the capacitor, as well as the voltage applied across the capacitor. The formula for calculating the charge stored on a capacitor is Q = CV,
where Q is the charge stored on the capacitor, C is the capacitance of the capacitor, and V is the voltage applied across the capacitor.
The capacitance of the capacitor is given as 13 pF and the voltage applied across the capacitor is 54 V.
Q = CVQ = 13 × 10^-12 F × 54 VQ = 702 × 10^-12 CTherefore, the charge stored on the capacitor is 702 × 10^-12 C.
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a microwave oven sets up a standing wave of wavelength 12.2 cm c m between two parallel conducting walls 48.8 cm c m apart. find the wave frequency.
The frequency of the standing wave set up by the microwave is 8 GHz (or 8 × 10^9 Hz).
What is Wavelength?
The wavelength of the microwave is 12.2 cm, and the distance between the two parallel walls is 48.8 cm.
frequency is:
f = v/λ
where `v` is the velocity of the wave and `λ` is the wavelength of the wave.
to calculate the velocity of the microwave:
`v = 2dƒ`
where `d` is the distance between the two walls and `ƒ` is the frequency.
Substituting the given values,`
v = 2(0.488)ƒ`.
Rearranging the equation for `ƒ`,
'ƒ = v/2d`.
Substituting `v` and `d` with the values given in the question:
`ƒ = (2 × 0.488) / (2 × 0.122)`.
Simplifying the expression,
`ƒ = 8`.
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A hockey player passes the puck to a teammate by bouncing the puck off the wall of the rink as shown. from physics, the angles that the path of the puck makes with the wall are congruent. how far from the wall will the pass be picked up by his teammate?
To find how far from the wall the pass will be picked up by the teammate, we will use the property that the angles formed by the path of the puck with the wall are congruent. This means the angle of incidence (the angle at which the puck hits the wall) is equal to the angle of reflection (the angle at which the puck leaves the wall).
Step 1: Identify the angle of incidence, which we will call angle A, and the angle of reflection, which we will call angle B. According to the given information, angle A = angle B.
Step 2: Measure the distance between the hockey player and the wall (let's call this distance "d1") and the distance between the teammate and the wall (let's call this distance "d2").
Step 3: Use trigonometry to find the distance between the hockey player and the point where the puck hits the wall (let's call this distance "x"). You can use the tangent function: tan(angle A) = d1/x.
Step 4: Solve for x: x = d1 / tan(angle A).
Step 5: Use trigonometry again to find the distance between the point where the puck hits the wall and the teammate (let's call this distance "y"). Use the tangent function again: tan(angle B) = d2/y.
Step 6: Solve for y: y = d2 / tan(angle B).
Step 7: Since angle A = angle B, we can now add x and y to find the total distance the pass traveled before being picked up by the teammate: total distance = x + y.
By following these steps, you can calculate how far from the wall the pass will be picked up by the teammate.
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a box with a mass of 50 kg is accelerating to the right because of an applied force of 250 n friction between the box and the surface below is negligible. what is the acceleration? (in meters/sec2)
The acceleration of a box with a mass of 50 kg that is accelerating to the right due to an applied force of 250 N and with negligible friction between the box and the surface below is 5 m/s².
Acceleration is defined as the rate of change of velocity of a moving object over time. The magnitude of the velocity of the object changes at a constant rate as a result of acceleration. The acceleration of an object may be calculated using the following formula:
a = (Fnet)/m
where Fnet is the net force acting on the object, and m is the object's mass.
Therefore, using the formula;
a = (Fnet)/m
where m = 50 kg and Fnet = 250 N,
Therefore;
a = 250 N / 50 kg
a = 5 m/s²
Thus, the acceleration of the box is 5 m/s².
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a battery connected to a resistor r puts out a voltage of 10 volts and a current of 0.5 amps. if instead you connected the battery to a resistor r/2, it would put out:
Answer: If instead you connected the battery to a resistor R/2, it would put out 5 volts.
The voltage put out if a battery connected to a resistor R puts out a voltage of 10 volts and a current of 0.5 amps, and if instead you connected the battery to a resistor R/2 is 5 volts.
The voltage of a battery connected to a resistor R puts out a voltage of 10 volts and a current of 0.5 amps can be found using the Ohm's Law which is:
V = IR
Where V is the voltage, I is the current, and R is the resistance of the resistor.
If you connect the battery to a resistor R/2, it would put out the voltage which can be calculated as follows:
V = IRV = 0.5 × 10V = 5V
Therefore, if instead you connected the battery to a resistor R/2, it would put out 5 volts.
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just as the rock reaches point b , what is the normal force on it due to the bottom of the bowl? express your answer using two significant figures.
The normal force on the rock at point B due to the bottom of the bowl is 4.08 N.
Given Data:
Mass of the rock, m = 0.25 kg
The radius of the bowl, r = 0.30 m
Speed of the rock, v = 2.8 m/s
Acceleration due to gravity, g = 9.81 m/s²
So, the Normal force on the rock due to the bottom of the bowl can be calculated as:
N = mg - m(v²/r)
Putting the values of given data, we get:
N = (0.25 kg)(9.81 m/s²) - (0.25 kg)(2.8 m/s)²/(0.30 m)N = 2.45 N - 6.53 NN = 4.08 N
Approximately, N = 4.08 N
Thus, the normal force on the rock at point B due to the bottom of the bowl is 4.08 N.
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a track star runs a 400-m race on a 400-m circular track in 45 s. what is his angular velocity assuming a constant speed?
The angular velocity assuming a constant speed for a track-star who runs 400 m circular track in 45 s is 0.139 radians/s.
To calculate the angular velocity first the circumference of the track is 400 meters.
This means that the angular displacement of the track star during the race is:
θ = s / r
where θ is the angular displacement,
s is the distance traveled by the track star (which is equal to the circumference of the track), and
r is the radius of the circular track.
2.) Since the radius of the circular track is half of its diameter, we have:
r = 400 m / 2 = 200 m
Plugging this into the equation for angular displacement, we get:
θ = 400 m / 200 m = 2π radians
3.) Next, we can use the formula for angular velocity:
ω = θ / t
where ω is the angular velocity and
t is the time it takes for the track star to complete the race.
4.)Plugging in the values we have:
ω = θ / t
ω = 2π radians / 45 s
Therefore, the angular velocity of the track star is:
ω = 0.139 radians/s (rounded to three significant figures)
Therefore, the track star's angular velocity assuming a constant speed is approximately 0.139 radians/s
The angular displacement of the track star is equal to one complete revolution around the circular track, which is equal to 2π radians.
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a solid ball has a radius of 0.110 m and a mass of 1.88 kg how much force must be applied to the edge to give it an angular acceleration of 3.09
The given values in the equation, F = (0.0147) * (3.09)/0.110F = 0.414 N Thus, the force required to give an angular acceleration of 3.09 m/s² to the solid ball is 0.414 N.
Given, The radius of a solid ball (r) = 0.110 m The mass of the solid ball (m) = 1.88 kg The angular acceleration of the solid ball (α) = 3.09 m/s²Now, we need to find the force required to give an angular acceleration of 3.09 to the solid ball. So, we will use the formula for torque, Torque (τ) = Fr Where, r = radius of the solid ball F = force required to move the solid ball on the edge of the solid ball By using Newton's second law of motion, F = ma Where, m = mass of the solid ball a = angular acceleration of the solid ball By using the formula for torque, Torque (τ) = Frτ = IαWhere, I = moment of inertia of the solid ball By equating both equations, F * r = IαF = Iα/r By using the formula for moment of inertia of a solid ball, I = (2/5)mr²I = (2/5) * 1.88 * 0.110²I = 0.0147 kg m²Now, substituting the given values in the equation, F = (0.0147) * (3.09)/0.110F = 0.414 N Thus, the force required to give an angular acceleration of 3.09 m/s² to the solid ball is 0.414 N.
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if the total resistance of two motor windings connected in parallel is 20 ohms and 240v is applied to the circuit, how much current will flow?
The current I in the circuit will be 12A.
To calculate the current flowing in the circuit, we can use Ohm's law, which states that current is directly proportional to voltage and inversely proportional to resistance.
The total current flowing in the circuit is therefore given by Ohm's Law as:
I = V/R
where V is the voltage applied to the circuit and R is the total resistance of the two windings.
In this case, given that the voltage applied is 240V and the total resistance of the two windings is 20 ohms, the total current flowing in the circuit is given by:
I = 240/20 = 12A.
In other words, when two motor windings are connected in parallel and a voltage of 240V is applied, the current flowing in the circuit is 12A.
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over a certain region of space, the electric potential is find the expressions for the x, y, and z components of the electric field over this region. what is the magnitude of the field at the point p, which has coordinates (1, 0, 2) m?
The magnitude of the electric field at point P which has coordinates (1, 0, 2) m is E = √((-6)² + 0² + 12²) V/m= √180 V/m= 6√5 V/m.
Over a certain region of space, the electric potential is (3x² - 4y² - 12z) V. Find the expressions for the x, y, and z components of the electric field over this region. For a uniform electric field in a given region, the electric potential over that region is related to the electric field through the relation
E = -∇V,
Here ∇ is the nabla operator in Cartesian coordinates.
So, for the given electric potential (3x² - 4y² - 12z) V, the electric field components are given by:
Ex = -dV/dx = -6x V/m
Ey = -dV/dy = 8y V/m
Ez = -dV/dz = 12 V/m
Therefore, the expressions for the x, y, and z components of the electric field over this region are Ex = -6x V/m, Ey = 8y V/m, and Ez = 12 V/m, respectively. The magnitude of the field at point P (1, 0, 2) m can be calculated using the expression for the magnitude of the electric field given by
E = √(Ex² + Ey² + Ez²).
Substituting the given coordinates of point P, we get
Ex = -6(1) V/m = -6 V/m
Ey = 8(0) V/m = 0 V
Ez = 12 V/m
Thus, the magnitude of the electric field at point P is 6√5 V/m.
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which will have a larger velocity upon hitting the ground: a rock thrown vertically upward from a bridge, or a rock thrown vertically downward from the same bridge? assume both rocks are thrown from the same height and with the same speed.
Assuming both rocks are thrown from the same height and with the same initial speed, the rock thrown vertically downward will have a larger velocity upon hitting the ground than the rock thrown vertically upward.
This is because the rock thrown upward will lose speed as it moves against the force of gravity. Eventually, the upward motion will be slowed down until the rock reaches the highest point in its trajectory, where it momentarily stops and changes direction. From that point, the rock will accelerate downward, gaining speed as it falls back to the ground. However, the time spent traveling upward and the time spent traveling downward will not be the same, since the upward portion of the trajectory will be slower due to gravity slowing the rock's ascent. This means that the rock thrown upward will have a lower speed when it hits the ground compared to the rock thrown downward.
On the other hand, the rock thrown downward will experience the force of gravity pulling it towards the ground, causing it to accelerate and gain speed as it falls. Since it is initially moving downward, it will not slow down until it hits the ground, meaning that it will have a higher velocity upon impact than the rock thrown upward.
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