Answer:
0.0146 s
Explanation:
First of all, we can find the acceleration of the ball by using Newton's second law of motion:
[tex]F=ma[/tex]
where:
F = -360 N is the force acting on the ball
m = 0.21 kg is the mass of the ball
a is the acceleration
Solving for a,
[tex]a=\frac{F}{m}=\frac{-360}{0.21}=-1714 m/s^2[/tex]
Then the ball moves by uniformly accelerated motion, so we can use the following suvat equation:
[tex]v=u+at[/tex]
where:
u = +25 m/s is the initial velocity
v = 0 is the final velocity (it comes to a stop)
[tex]a=-1714 m/s^2[/tex] is the acceleration
t is the time it takes for the ball to stop
Solving for t,
[tex]t=\frac{v-u}{a}=\frac{0-(25)}{-1714}=0.0146 s[/tex]
