linear kinetics

Question

A pitched ball with a mass of 150 g (0.15 kg) reaches a catcher’s glove traveling at a velocity of 28 m/s.

 

 

a. How much momentum does the ball have? 

 

b. How much impulse is required to stop the ball?

 

c. If the ball is in contact with the catcher’s glove for 0.5 seconds during the catch, how much average force is applied by the glove? 

Answer 1

(a)

 

p = mv = (0.15 kg)(28 m/s) = 4.2 kg m/s

 

(b)

 

I = p₂ - p₁ = (0 - 4.2) kg m/s = -4.2 kg m/s

 

(c)

 

I = FΔt

 

F = I/Δt = (-4.2 kg m/s) / (0.5 s) = -8.4 N