A 0.17 kg baseball traveling at 54.4 m/s strikes the catcher's mitt, which recoils backward at 2.5 cm.

Question

A 0.17 kg baseball traveling at 54.4 m/s strikes the catcher's mitt, which recoils backward 2.5 cm. What was the average force applied by the ball on the glove?

Answer 1

Calculate the change in kinetic energy.

ΔE = (1/2) mv^2 =(1/2)(0.17)(54.4)^2 =251.55 J

Calculate the workdone , W = F*2.5*10^-2

Apply work energy principal

F*2.5*10^-2=251.55

F=10062 N =10.062 kN