The final direction of ball A and the final velocities of two balls.
Answer to Problem 44P
The final direction of ball A is
The final velocity of ball A is
The final velocity of the ball B is
Explanation of Solution
Given:
The mass of balls is
The initial velocity of the ball A is
The initial velocity of the ball B is
Formula used:
The expression for law of conservation of momentum is,
Here,
The expression for conservation of kinetic energy is,
Here,
Calculation:
Sketch the representation of the billiard ball before and after collision as shown in Figure 1.
Apply the conservation of momentum along x direction.
Apply the conservation of momentum along y direction.
Squaring both sides of the equations (1) and (2) and adding them,
Apply the conservation of energy.
Find the final velocity of ball A using Equation (3).
Find the final direction of ball A using Equation (1).
Conclusion:
Thus, the final direction of ball A is
Thus, the final velocity of ball A is
Thus, the final velocity of the ball B is
Chapter 7 Solutions
Physics: Principles with Applications
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