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Law of Conservation of Energy

A billiard ba...

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A billiard ball at rest is struck horizontally one tenth of the diameter below the top. If P be the impulse of the blow find the initial kinetic energy of the ball, the mass of the ball is being M.

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Q. A billiard ball is struck by a cue. The line of action of applied impulse is horizontal and passes through the center of the ball. The initial velocity

V_{0}

of the ball, radius

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m

and coefficient of friction

μ

between ball and table are known. The ball moves distance

\frac{12 V_{0}^{2}}{X μ g}

before it ceases to slip on the table. What is the value of

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Q. A perfectly hard billiard ball of kinetic energy

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collides with another similar ball at rest. After the collision the kinetic energy of the ball becomes

E_{k}^{'}

Q. Two identical balls of masses

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each are kept on a frictionless surface as shown in the figure below. One of the balls moving at

4 m/s

makes a head-on collision with the other at rest initially. It is observed that final kinetic energy of the balls is half of the initial kinetic energy. Find the coefficient of restitution.

Q. A billiard balls is struck by a cue. The line of action of applied impulse is horizontal and passes through the centre of the ball. The initial velocity

V_{0}

of the ball, its radius R, mass m and coefficient of friction

μ

between ball and table are known. The ball moves distance

\frac{12 V_{0}^{2}}{(40 + x) μ g}

before it ceases to slip on the table. What is the value of x.

Q. Two identical balls of masses

5 kg

each are kept on a frictionless surface as shown in the figure below. One of the balls moving at

4 m/s

makes a head-on collision with the other at rest initially. It is observed that final kinetic energy of the balls is half of the initial kinetic energy. Find the coefficient of restitution.

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