#4) A 4 kg ball starts with an unknown velocity at the top of the 3 m long , 36.9 degrees incline and rolls without slipping. it collides with the 3 kg block in a perfectly inelastic collision 2.5 m from the spring. the block and the ball then compress the spring until the spring exerts a 400 N force on the block/ball system. the F versus x graph shown is for the spring. The coefficient of kinetic friction is 0.25 and once the ball sticks to the block, it does not roll. Iball= 2/5mr^2. What is the speed of the block  after it collides with the ball? What is the initial speed of the ball at the top of the incline?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter7: Conservation Of Energy
Section: Chapter Questions
Problem 71P
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#4) A 4 kg ball starts with an unknown velocity at the top of the 3 m long , 36.9 degrees incline and rolls without slipping. it collides with the 3 kg block in a perfectly inelastic collision 2.5 m from the spring. the block and the ball then compress the spring until the spring exerts a 400 N force on the block/ball system. the F versus x graph shown is for the spring. The coefficient of kinetic friction is 0.25 and once the ball sticks to the block, it does not roll. Iball= 2/5mr^2. What is the speed of the block  after it collides with the ball? What is the initial speed of the ball at the top of the incline? 

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