(10) During a baseball game, the baseball (mass = 145 grams) is pitched toward t

Question

(10) During a baseball game, the baseball (mass = 145 grams) is pitched toward the batter at a speed of 90 mi/hr. The batter manages get a good clean hit on the ball and the ball moves away from the batter with a of 120 mi/hr. (Assume that the hall moves only along the x-axis.) If the hall is in contact with the bat for 0.7 milliseconds, determine the average force (in Newtons) acting on the ball by the hat. (10) A 10,000 lb rail car moving to the right with an initial speed of 5 miles/hour collides with a 30,000 lb rail car moving to the left with a speed of 3 miles/hour. and the two cars are coupled together when they hit. What is the speed and direction of these two cars immediately following the collision?

Explanation / Answer

part 1 )

F*dt = change in momentum

90 mile/h = 40.2336 m/s

120 mile/h = 53.6448 m/s

mass = 145 g = 0.145 gk

F = 0.145 ( 53.6448 - (-40.2336) / 0.7 x 10^-3

F = 19446.24 N

part b )

here momentum remain conserve

m1v1 + m2v2 = (m1+m2)vf

take right side is positive

10,000 lb * 5 + 30,000 * 3 = (10,000 + 30,000) vf

vf = 3.5 miles/hour = 1.56464 m/s

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