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The drawing shows two boxes resting on frictionless ramps. Onebox is relatively light and sits on a steep ramp. The other box isheavier and rests on a ramp that is less steep. The boxes arereleased from rest at A and allowed to slide down the ramps. Thetwo boxes have masses of 12 and 38 kg. If A and B are5.5 and 0.5 m, respectively, above the ground,determine the speed of (a) the lighter box and(b) the heavier box when each reaches B.(c) What is the ratio of the kinetic energy of the heavier box to that of the lighter box at B?
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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