Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 4 - Dynamics: Newton's Laws of Motion - Problems - Page 101: 9

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.
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