1. The problem statement, all variables and given/known data A 0.140-kg baseball traveling 45.0 m/s strikes the catcher's mitt, which, in bringing the ball to rest, recoils backward 11.0 cm. What was the average force applied by the ball on the glove? 2. Relevant equations F=ma ? 3. The attempt at a solution It is the whole "backward 11.0 cm" part that confuses me.
Clearly, the question is how can you find acceleration? Hint: if the ball is initially travelling at 45 m/s, and the ball comes to rest after 11 cm, what equation can you use to find acceleration?
Okay, so I used the equation vf^2=vi^2-2ad. 0= 45^2 - 2*a*.11m I ended up with 9205 m/s/s as the acceleration. After plugging it in to F=ma, I got 1,289N as the force. It seems too high. Thanks by the way.
Excellent. That's what I got too. And, think about it. A baseball travelling 45 m/s comes to rest in only 11 cm! It takes a tremendous amount of force to stop it!