Answer
-780 N
Work Step by Step
Given
Mass = 0.140 Kg
Initial Velocity (U) = 35.0 m/s
Recoil distance (Displacement) = 11 cm or 0.11 m
$V^{2} = U^{2} +2as$ where a = acceleration, u = initial velocity and d = displacement
since the ball comes to a stop, final velocity = 0
$0=(35)^{2} +2*a*11$
$-22a= 1225$
$a= -(1225/22)$
$a= -5568.18 m/s$
Now, Force = Mass * Acceleration
$F= 0.140*(-5568.18)$
$F= -780 N$
Hence the average force applied by ball on gloves is 780 N and negative sign applies the force applied by gloves on ball.
