A 0058kg tennis ball traveling at 28ms is hit by a racket Th

A 0.058-kg tennis ball traveling at 28-m/s is hit by a racket. The ball comes to a stop after stretching the racket\'s strings just 1.5-cm. What is the spring constant of the racket\'s strings?

Solution

KE of the ball = PE of the string

0.5 mv^2 = 0.5kx^2

0.058 * 28^2 = k*(0.015)^2

k = 202097 N/m

spring constant = 202.097 kN/m