August 21st, 2020 
a) A ball of mass m = 0.10 kg is sent down into a ball path. The orbit consists of a quarter circle with radius r = 2.0 m. We ignore friction and air resistance. When the bullet is at its lowest point, it hits a box of mass M.
Show that the speed of the bullet is at its lowest point (just before it
hit the box), v0 is 6.3 m / s. Also find the normal force on the ball just before leaving the circular orbit.
b) When the ball leaves the circular orbit, it hits a box of mass
M = 1.0 kg. The box is sticky on the left side, so the ball gets stuck
to the box. The box is on a table. The friction number against the substrate for the composite body (box + sphere) is = 0.3. What will be the speed of the compound body right after the impact? How far does the body move after this shock? Disregard air resistance.
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