A0.157-kg baseball moving at 21.2 m/s strikes the glove of a catcher. the glove recoils a distance of 10.7 cm. the magnitude of the average force applied by the ball on the glove is

329.72 N

Explanation:

Given

mass of ball

velocity of ball

glove recoil distance

Energy associated with ball E=kinetic energy of ball

Now if an average for is applied to stop the ball then work done by this force is equal to kinetic energy of the ball

The magnitude of average force applied by ball on glove is

|F_avg| =330N

Explanation:

Mass of baseball m = 0.157 kg

Initial velocity v_1 = 21.2 m/s

Final velocity v_f = 0 m/s

Distance moved before coming to rest

s = d = 10.7 cm = 0.107 m

V_f ^2 = V_i^2/2 s

= 0^2 - (21.2)^2/2* 0.107

a= 449.44 /0.214

a = -2100 m/s^2

a- acceleration of baseball

Average force applied by the ball on glove |F_avg| = m|a|

=0.157*2100

=329.7 N

|F_avg| =330 N

scientific laws are the result of testing theories and proving them to be facts.