During a neighborhood baseball game in a vacant lot, a particularly wild hit sen

Question

During a neighborhood baseball game in a vacant lot, a particularly wild hit sends a 0.145-kg baseball crashing through the pane of a second-floor window in a nearby building. The ball strikes the glass at 15.7 m / s, shatters the glass as it passes through, and leaves the window at 10.3 m / s with no change of direction. What is the direction of the impulse that the glass imparts to the baseball? Calculate the magnitude of this impulse (a positive number).

The ball is in contact with the glass for 0.0108 s as it passes through. Find the magnitude of the average force of the glass on the ball (a positive number).

Explanation / Answer

A)

The direction of the impulse is directly opposite to the direction of the balls path. (Understood through Newton's Third law that for every action, there is an equal and opposite reaction. The ball hits the glass in one direction, the glass imparts a force, and thus and impulse, in the other direction)

B)

From the impusle-momentum therorm, Impulse = change in momentum

Impulse = mv

Impulse = (0.145)(15.7 – 10.3)

Impulse =0.783 kg m/s

C)

Impulse = Ft

0.783 = (F)(0.0108)

F = 72.5 N

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