PLEASE SHOW RIGHT SIG FIGS.THANK YOU 1)Bailey is on the tenth frame of her recen

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

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