A billiard ball of radius R and mass Mis struck with a cue in such a way that the line of action of the applied momentum is horizontal and passes through the center of the ball. The initial velocity of the ball is v, and the coefficient of friction between the ball and the table is up. Consider that the angular velocity w, at the moment of the impulse is zero. Find the acceleration of the center of mass of the ball while it was skating; the velocity of the ball's center of mass when it stops skating and finally the distance the ball travels before it stops skating.

A billiard ball of radius R and mass Mis struck with a cue in such a way that the line of action of the applied momentum is horizontal and passes through the center of the ball. The initial velocity of the ball is v, and the coefficient of friction between the ball and the table is up. Consider that the angular velocity w, at the moment of the impulse is zero. Find the acceleration of the center of mass of the ball while it was skating; the velocity of the ball's center of mass when it stops skating and finally the distance the ball travels before it stops skating.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.

Question

A billiard ball of radius R and mass Mis struck with a cue in such a way that the line of action of the applied momentum is horizontal and
passes through the center of the ball. The initial velocity of the ball is v, and the coefficient of friction between the ball and the table is up.
Consider that the angular velocity w, at the moment of the impulse is zero. Find the acceleration of the center of mass of the ball while it was
skating; the velocity of the ball's center of mass when it stops skating and finally the distance the ball travels before it stops skating.
R
5vo
12v
Ans. ä =-k9
Vf
49H9

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