(a)
The velocity of the center of mass.
(a)
Answer to Problem 92P
The speed of center of mass is
Explanation of Solution
Given:
The mass of first block is
The mass of second block is
The speed of first block is
The speed of second block is
Formula used:
The expression for velocity of center of mass is given by,
Calculation:
The velocity of center of mass is calculated as,
Conclusion:
Therefore, the speed of center of mass is
(b)
The velocity of each block in center of mass reference frame.
(b)
Answer to Problem 92P
The velocity of first block is
Explanation of Solution
Formula used:
The expression for velocity of first block is given by,
The expression for velocity of second block is given by,
Calculation:
The expression for velocity of first block is calculated as,
The expression for velocity of second block is calculated as,
Conclusion:
Therefore, the velocity of first block is
(c)
The velocity of each block in center of mass reference frame after collision.
(c)
Answer to Problem 92P
The velocity of first block is
Explanation of Solution
Formula used:
The expression for velocity of first block is given by,
The expression for velocity of second block is given by,
Calculation:
The expression for velocity of first block is calculated as,
The expression for velocity of second block is calculated as,
Conclusion:
Therefore, the velocity of first block is
(d)
The velocity in original frame.
(d)
Answer to Problem 92P
The velocity of first block is
Explanation of Solution
Formula used:
The expression for velocity of first block is given by,
The expression for velocity of second block is given by,
Calculation:
The expression for velocity of first block is calculated as,
The expression for velocity of second block is calculated as,
Conclusion:
Therefore, the velocity of first block is
(e)
The initial and final kinetic energies.
(e)
Answer to Problem 92P
The initial kinetic energy is
Explanation of Solution
Formula used:
The expression for initial kinetic energy is given by,
The expression for final kinetic energy is given by,
Calculation:
The initial kinetic energy is calculated as,
The final kinetic energy is calculated as,
Conclusion:
Therefore, the initial kinetic energy is
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