what was the magnitude of the average force applied by the ball on the glove ?f

Question

0.130-kg baseball traveling 31.0 m/s strikes the catcher's mitt,which , in bringing the ball to rest, recoils backward 14.0 cm

Answer 1

The work done in stopping the baseball is equal to the decrease in kinetic energy of the baseball:

W = KE

Fs = mv²/2

where s = .14m is the stopping distance

and F is the average force applied

F = mv²/2s

= .13(31)²/(2*.14)

= 446N