Calculating Final Velocity of a Bowling Ball

[ctwokay]

Homework Statement

A spherical bowling ball with mass m = 3.2 kg and radius R = 0.112 m is thrown down the lane with an initial speed of v = 8.1 m/s. The coefficient of kinetic friction between the sliding ball and the ground is μ = 0.32. Once the ball begins to roll without slipping it moves with a constant velocity down the lane.

Q:What is the magnitude of the final velocity?

Homework Equations

Conservation of Momentum
Conservation of Energy

The Attempt at a Solution

Just want to check should i use both Conservation of Momentum and Conservation of Energy to find the final velocity?

Is there a shorter formula to find final velocity?

 

[tiny-tim]

hi ctwokay!

Just want to check should i use both Conservation of Momentum and Conservation of Energy to find the final velocity?

how can you use conservation of momentum?

use the work-energy theorem ​