Can you answer this force problem?

Question

A 0.14kg baseball travelling 30m/s strikes the catcher' s mitt, which, in bringing the ball to rest recoil 10 cm. What is the average force applied by the ball on the glove?

Answer 1

Use the kinematic relation

v^2 - u^2 = 2ad

v = final speed = 0

u = initial speed = 30 m/s

d = stopping distance = 0.10 m

a = acceleration (negative, since it opposes the direction of motion)

Solve for a, then get the force from

F = ma

m = 0.14 kg

a = (v^2 - u^2)/(2d) = (0^2 - 30^2)/[2(0.1)] m/s^2 = ? m/s^2

F = ma

F comes out negative, because it opposes the direction of motion.

Plug in the numbers and finish from here.