Question

1.) In the figure, a block of mass m = 13 kg is released from rest on a frictionless incline of angle θ = 30°. Below the block is a spring that can be compressed 3.7 cm by a force of 210 N. The block momentarily stops when it compresses the spring by 6.0 cm. (a) How far does the block move down the incline from its rest position to this stopping point? (b) What is the speed of the block just as it touches the spring?

2.) The figure shows a thin rod, of length L = 2.60 m and negligible mass, that can pivot about one end to rotate in a vertical circle. A heavy ball of mass m = 14.0 kg is attached to the other end. The rod is pulled aside to angle θ₀ = 19.0° and released with initial velocity = 0. As the ball descends to its lowest point, (a) how much work does the gravitational force do on it and (b) what is the change in the gravitational potential energy of the ball-Earth system? (c) If the gravitational potential energy is taken to be zero at the lowest point, what is its value just as the ball is released?

Answer 1

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