A 4) The diagram below shows a weight of mass m connected to a box of mass 5.5 kg which is on a smooth plane inclined at an angle of 30° to the horizontal through a smooth pulley. 5.5 kg m kg 330 Determine the value of m if a) the system is in equilibrium. b) weights of mass m moving downwards with an acceleration of 2 m s-2. (Given g = 10 ms-2) 2

(8%) problem 12. a bowling ball of mass mb 3 kg 's rolled down the lane with a velocity ofy-2/ m s lt strikes a single remaining pin mp 0.93 kg head on. after the collision the bowling ball has a velocity (in the same direction) of v2 1.1 m/s. = ▲ 33% part (a) write an expression for the velocity of pin in the horizontal direction after the impact, im ,, 33% part (b) what is the pins speed in ms? 33% part (c) assuming the coefficient of friction s μ,-0.1. how far in meters could the pin slide before stopping if it doesn't topple?