Answer:
Final speed of the pin is 11.08 m/s.
Step-by-step explanation:
It is given that,
Mass of the bowling ball, m₁ = 7.5 kg
Initial speed of bowling ball, u₁ = 8.39 m/s
Mass of bowling pin, m₂ = 1.36 kg
Initial speed of the bowling pin, u₂ = 0
Final speed of the ball, v₁ = 6.38 m/s
We need to find the final speed (v₂) of the pin. It can be solved using the conservation of linear momentum as :





So, the final speed of the pin is 11.08 m/s. Hence, this is the required solution.