Answer:
210 N
Explanation:
The change in momentum of the ball is equal (in magnitude) to the impulse given to the pin, according to
(1)
where
is the change in momentum of the ball
F is the force exerted on the pin
is the duration of the collision
For the bowling ball, we have
m = 7 kg (mass)
u = 6.0 m/s (initial velocity)
v = 4.5 m/s (final velocity)
So, the change in momentum (in magnitude) is

We also know the duration of the collision,

And so if we re-arrange eq.(1), we find the force exerted on the pin:
