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Q. A 3kg block is observed to accelerate at a rate twice that of a 6kg block. Is the net force acting on the 3kg block therefore twice as large as that acting on the 6kg block? Explain
Q. A rectangular conducting loop of width w, height h, and resistance R is mounted vertically on a nonconducting cart (see attachment). The cart is placed on the inclined portion of a track and released from rest at position P1 at a height y above the horizontal portion of the track. It rolls with negligible friction down the incline and through a uniform magnetic field B in the region above the horizontal portion of the track. The conducting loop is in the plane of the page, and the magnetic field is directed into the page. The loop passes completely through the field with a negligible change in speed. Express your answer in terms of the given quantities and fundamental constants.
a.) Determine the speed of the cart when it reaches the horizontal portion of the track.
b.) Determine the following for the time at which the cart is at position P2, with one-third of the loop in the magnetic field.
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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