Answer:
128.9 N
Explanation:
The force exerted on the golf ball is equal to the rate of change of momentum of the ball, so we can write:
[tex]F=\frac{\Delta p}{\Delta t}[/tex]
where
F is the force
[tex]\Delta p[/tex] is the change in momentum
[tex]\Delta t=0.030 s[/tex] is the time interval
The change in momentum can be written as
[tex]\Delta p = m(v-u)[/tex]
where
m = 0.04593 kg is the mass of the ball
u = 0 is the initial velocity of the ball
[tex]v=281 km/h =78.1 m/s[/tex] is the final velocity of the ball
Substituting into the original equation, we find the force exerted on the golf ball:
[tex]F=\frac{m(v-u)}{\Delta t}=\frac{(0.04593)(78.1-0)}{0.030}=128.9 N[/tex]
