The velocities of the both the masses using conservation of momentum and conservation of kinetic energy.
Answer to Problem 30TP
The velocity of mass A after the collision is
The velocity of mass B after the collision is
The system is consistent with both conservation of momentum and conservation of kinetic energy as,
Explanation of Solution
Given:
Mass of A,
Mass of B,
Velocity of mass A before collision,
Velocity of mass B before collision,
Formula used:
Final velocity of mass A using conservation of momentum is calculated as,
Final velocity of mass B using conservation of momentum is calculated as,
Initial momentum is calculated as,
Final momentum is calculated as,
Change in momentum is calculated as,
Initial kinetic energy is calculated as,
Final kinetic energy is calculated as,
Change in kinetic energy is calculated as,
Calculation:
Final velocity of mass A using conservation of momentum is calculated as,
Final velocity of mass B using conservation of momentum is calculated as,
Initial momentum is calculated as,
Final Momentum is calculated as,
Change in momentum is calculated as,
Initial kinetic energy is calculated as,
Final kinetic energy is calculated as,
Change in kinetic energy is calculated as,
Conclusion:
The velocity of mass A after the collision is
The velocity of mass B after the collision is
The system is consistent with both conservation of momentum and conservation of kinetic energy as,
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Chapter 8 Solutions
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