1. -/1 points Ser PSET99.P 005 My Notes + A baseball approaches home plate at a

Question

1. -/1 points Ser PSET99.P 005 My Notes + A baseball approaches home plate at a speed of 46.0 m/s, moving horizontally just before being hit by a bat. The batter hits a pop-up such that after hitting the bat, the baseball is moving at 57.0 m/s stralght up. The ball has a mass of 145 g and Is In contact with the bat for 2.40 ms. What is the average vector force the ball exerts on the bat during thelr Interactlon? (Let the +x direction be in the initial direction of motion, and the ty-direction be up.) On bat- Need Help?Read It 2. 12 points SerPSET9 9.P.006.M My Notes A 44.6-kg girl is standing on a 159-kg plank. Both originally at rest on a frozen lake that constitutes a frictionless, flat surface. The girl begins to walk along the plank at a constant velocity of 1.48i m/s relative to the plank. (a) What is the velocity of the plank relative to the Ice surface? i m/s (b) What is the girl's velocity relative to the ice surface? Need Help?Read ItMaster It

Explanation / Answer

1. F t = change in momentum = m (Vf - vi)

F (2.40 x 10^-3) = 0.145 ( 57j - 46i)

F = ( -2779 N) i + (3444 N) j

2. suppose velocity of plank is vp.

then velocity of girl wrt plank = velocity of girl - velocity of plank.

1.48i + Vp = Vg

Vcm = ( mp vp + mg vg) / (mp + mg) = 0

(159)(vp) + (44.6)(1.48i + vp) = 0

vp = - 0.324 m/s i

Ans: - 0.324

(b) vg = 1.48 - 0.324 = 1.16 m/s

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