Abody a of mass 1.5kg, travelling along the positive x-axis with speed 4.5m/s, collides with
another body b of mass 3.2kg which, initially, is at rest. as a result of the collision, a is deflected and
moves with a speed 2.1m/s in a direction which is at angle 30° below the x-axis. b is set in motion at an
angle θ above the x-axis. calculate the velocity of b after the collision.

Amerry-go-round of radius r, shown in the figure, is rotating at constant angular speed. the friction in its bearings is so small that it can be ignored. a sandbag of mass m is dropped onto the merry-go-round, at a position designated by r. the sandbag does not slip or roll upon contact with the merry-go-round. how would you rank the following different combinations of m and r on the basis of the angular speed of the merry-go-round after the sandbag "sticks" to the merry-go-round from largest to smallest. a) m = 10kg, r = 0.25r b) m = 20kg, r = 0.25r c) m = 10kg, r = 0.50r d) m = 10kg, r = 1.0r e) m = 15kg, r = 0.75r f) m = 40kg, r = 0.25r