
(a)
The speed
(a)

Answer to Problem 88P
The speed of larger mass after collision is
Explanation of Solution
Given:
The mass of small object is
The mass of large object is
The speed of small object before collision is
The speed of large object before collision is
The speed of small object after collision is
Formula Used:
The expression for the vertical angle is given by,
The expression for the horizontal angle is given by,
The expression for conservation of momentum is X-direction is,
The expression for conservation of momentum is Y-direction is,
Calculation:
The vertical angle is calculated as,
The horizontal angle is calculated as,
The expression for conservation of momentum is X-direction is calculated as,
The expression for conservation of momentum is Y-direction is calculated as,
Square Equation (1) and (2) and add them.
Further simplify the above,
Divide Equation (2) by (1).
Conclusion:
Therefore, the speed of larger object after collision is
(b)
The proof that collision is elastic.
(b)

Answer to Problem 88P
It is proved that collision is elastic.
Explanation of Solution
Formula used:
The expression for kinetic energy before collision is,
The expression for kinetic energy after collision is,
Calculation:
The expression for kinetic energy before collision is calculated as,
The expression for kinetic energy after collision is calculated as,
Conclusion:
Since kinetic energy before collision is the same as kinetic energy after collision Therefore, it is proved that collision is elastic.
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