PLEASE SHOW RIGHT SIG FIGS.THANK YOU 1)Bailey is on the tenth frame of her recen
ID: 2305646 • Letter: P
Question
PLEASE SHOW RIGHT SIG FIGS.THANK YOU
1)Bailey is on the tenth frame of her recent bowling competition and she needs to pick up the last pin for a spare and the first place trophy. She rolls the 3.05 kg ball down the lane and it hits the 1.33 kg pin head on. The ball was moving at 3.2 m/s before the collision. The pin went flying forward at 4.3 m/s. Determine the post-collision speed of the ball.
B)Abbey and Mia are in the basement playing pool. On Abbey's recent shot, the cue ball was moving east at 82 cm/s when it struck the slower 5-ball moving in the same direction at 24 cm/s. The 5-ball immediately speeds up to 52 cm/s. Determine the post-collision speed of the cue ball in cm/s.
C)Sarah has a mass of 50 kg and is riding a merry go round that is rotating at 3.3 m/s. If the radius of the merry go round is 1.5m, what is the centripetal force required to keep Sarah on the merry go round?
Explanation / Answer
1) Applying momentum conservation for pin-ball system,
pi = pf
(3.05 x 3.2) + (1.33 x 0) = (3.05v) + (1.33 x 4.3)
v = 1.32 m/s
(B) pi = pf
(m x 82) + (m x 24) = (m v) + (52 m)
v = 54 cm/s
(C) F = m a and a = v^2 / R
F = m v^2 / R = (50)(3.3^2)/(1.5)
F = 363 N