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Two air carts of mass m1 = 0.84kg and m2 =0.42 kg are placed on a frictionless track. Cart 1 is at restinitially, and has a spring bumper with a force constant of 690N/m. Cart 2 has a flat metal surface for a bumper, and movestoward the bumper of the stationary cart with an initial speedv=0.68m/s. (a) What is the speed of the two carts at themoment when their speeds are equal? (b) How much energy isstored in the spring bumper when the carts have the samespeed? (c) What is the final speed of the carts after the collision?
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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