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This diagram shows an image of a car on a banked track, rounding a curve. The car is travelling around the curve at a fast speed, but it does not slide up or down the track. The friction between the wheels of the car and the track is very good as the conditions are not slippery.
a) Draw a free-body diagram of the car from the perspective of an observer who is on Earth (stationary) relative to the car. Include all the forces acting on the car, as observed from the Earth's reference frame.
b) Which of the forces from your free-body diagram contribute to the centripetal acceleration of the car?
c) Draw a free-body diagram of the car from the perspective of the driver of the car, who is in the car's frame of reference, as it rotates around the centre of the curve.
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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