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The three air cartsshown in the figure have masses, reading from left to right, ofm, 2m, and 4m, respectively. Initially, the cart on theright is at rest, whereas the other two carts are moving to theright with a speed v_0. All carts are equipped with putty bumpers that give completely inelastic collisions.
Find the final speed of the carts. andCalculate the ratio of the final kineticenergy of the system to the initial kinetic energy.
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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