Question

3. A bowling ball of m=7.26kg and v=0.110m is thrown down a bowling alley lane on a cruise ship with initial translational velocity of 3.50m/s. At the moment of the throw the lane is tilted up at an angle of 9.00°and accelerating downward at 2.60 m/s2. The kinetic friction coefficient of the lane is 0.0822 and the length of the lane is 15.1m. Assume the ship remains at the same tilt and acceleration the whole time the bowling ball is in motion. The moment of inertia of the ball is (2/5)mr^2.(a) The bowling ball begins moving with all translation and no rotation, but the friction force will cause an angular acceleration that will eventually cause it to roll without slipping. How long will this take?(b) Will the bowling ball begin to roll without slipping by the time it reaches the pins at the end of the lane?

Answer 1