A person with mass mp=80 kg is standing at rest on a horizontal,frictionless surface holding a ball of wet clay with mass mg=10 kg. In front of the person is a large block with mass M=20 kg at restnext to a spring with stiffness k=100 N/m . The person throws theball horizontally, it sticks to the block, and then ball and blockslide and compress the spring a distance 1=0.75 m away fromequilibrium before the ball-block springs back toward the person.(Assume the distance the ball is thrown is short, so that we canignore the vertical component of its velocity.)
a) Find v P1 (the speed of the person after the ball wasthrown)
b) Find Vs (the speed at which the person, ball, and block moveafter the ball and block bounced back off the spring and collidedwith the person)
c) If it takes 0.2 seconds for the person and the ball-block toget to the same velocity, find the impulse on the person due to theball-block. AND find the force on the person due to theball-block,
(Please be careful in your answer in part b because the personis also moving after he throws the ball. So, this will effect thefinal answer for their overall speed. And, please don't copy fromothers. They are all wrong. Thanks.
