3. Two identical billiard balls collide on a table. One billiard ball starts out at rest. The other billiard ball has a speed of 5.00 m/s when it hits the stationary ball. Label that initial direction of the velocity of the moving ball as the positive x axis. The initially stationary ball moves at an angle of 50 degrees above the x axis. The other ball is deflected to an angle of 30 degrees below the x axis. a. Write the conservation of momentum equations for this collision process. (Hint: Write an x components equation and a y component equation. Call the mass of both balls, M.) b. Solve for the speeds of the two balls after the collision. (Hint: If you did not already do it in part a, express the post collision velocity components in terms of the speed and the angle. Write the momentum conservation equations in terms of the speeds and angles.)

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Chapter3: Motion In Two Dimensions
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3. Two identical billiard balls collide on a table. One billiard ball starts out at rest. The other billiard ball
has a speed of 5.00 m/s when it hits the stationary ball. Label that initial direction of the velocity of the
moving ball as the positive x axis. The initially stationary ball moves at an angle of 50 degrees above
the x axis. The other ball is deflected to an angle of 30 degrees below the x axis.
a. Write the conservation of momentum equations for this collision process. (Hint: Write an x
components equation and a y component equation. Call the mass of both balls, M.)
b. Solve for the speeds of the two balls after the collision. (Hint: If you did not already do it in part a,
express the post collision velocity components in terms of the speed and the angle. Write the
momentum conservation equations in terms of the speeds and angles.)
Transcribed Image Text:3. Two identical billiard balls collide on a table. One billiard ball starts out at rest. The other billiard ball has a speed of 5.00 m/s when it hits the stationary ball. Label that initial direction of the velocity of the moving ball as the positive x axis. The initially stationary ball moves at an angle of 50 degrees above the x axis. The other ball is deflected to an angle of 30 degrees below the x axis. a. Write the conservation of momentum equations for this collision process. (Hint: Write an x components equation and a y component equation. Call the mass of both balls, M.) b. Solve for the speeds of the two balls after the collision. (Hint: If you did not already do it in part a, express the post collision velocity components in terms of the speed and the angle. Write the momentum conservation equations in terms of the speeds and angles.)
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