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Two balls one of mass m and othe rod mass 2m are moving towards each other with respective speeds of 10m/s and 20m/s on a smooth horizontal floor. if after collision they stick to each other and move as combined mass (perfectly inelastic Collision)then the speed of combined mass will be?
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Two balls one of mass m and othe rod mass 2m are moving towards each o...
Understanding the Problem
In this scenario, we have two objects:
- A ball of mass m moving at 10 m/s
- A rod of mass 2m moving at 20 m/s
Both are moving towards each other, and after a perfectly inelastic collision, they stick together.
Conservation of Momentum
In a perfectly inelastic collision, momentum is conserved. The total momentum before the collision will equal the total momentum after the collision.
Calculating Initial Momentum
- The momentum of the ball (p1) before the collision is:
- p1 = m * 10
- The momentum of the rod (p2) before the collision is:
- p2 = 2m * (-20) (negative because it’s moving in the opposite direction)
Total Initial Momentum
- Total initial momentum (P_initial) = p1 + p2
- P_initial = m * 10 - 2m * 20
- P_initial = 10m - 40m = -30m
Final Combined Mass
After the collision, the combined mass (M) is:
- M = m + 2m = 3m
Finding the Final Velocity
Let V be the final velocity after the collision. Using the conservation of momentum:
- Total initial momentum = Total final momentum
- -30m = 3m * V
Solving for V:
- V = -30m / 3m = -10 m/s
Conclusion
The final velocity of the combined mass after the collision is -10 m/s, indicating that the combined object moves in the direction of the rod's initial motion.
In this scenario, we have two objects:
- A ball of mass m moving at 10 m/s
- A rod of mass 2m moving at 20 m/s
Both are moving towards each other, and after a perfectly inelastic collision, they stick together.
Conservation of Momentum
In a perfectly inelastic collision, momentum is conserved. The total momentum before the collision will equal the total momentum after the collision.
Calculating Initial Momentum
- The momentum of the ball (p1) before the collision is:
- p1 = m * 10
- The momentum of the rod (p2) before the collision is:
- p2 = 2m * (-20) (negative because it’s moving in the opposite direction)
Total Initial Momentum
- Total initial momentum (P_initial) = p1 + p2
- P_initial = m * 10 - 2m * 20
- P_initial = 10m - 40m = -30m
Final Combined Mass
After the collision, the combined mass (M) is:
- M = m + 2m = 3m
Finding the Final Velocity
Let V be the final velocity after the collision. Using the conservation of momentum:
- Total initial momentum = Total final momentum
- -30m = 3m * V
Solving for V:
- V = -30m / 3m = -10 m/s
Conclusion
The final velocity of the combined mass after the collision is -10 m/s, indicating that the combined object moves in the direction of the rod's initial motion.
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Two balls one of mass m and othe rod mass 2m are moving towards each other with respective speeds of 10m/s and 20m/s on a smooth horizontal floor. if after collision they stick to each other and move as combined mass (perfectly inelastic Collision)then the speed of combined mass will be?
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Two balls one of mass m and othe rod mass 2m are moving towards each other with respective speeds of 10m/s and 20m/s on a smooth horizontal floor. if after collision they stick to each other and move as combined mass (perfectly inelastic Collision)then the speed of combined mass will be? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Two balls one of mass m and othe rod mass 2m are moving towards each other with respective speeds of 10m/s and 20m/s on a smooth horizontal floor. if after collision they stick to each other and move as combined mass (perfectly inelastic Collision)then the speed of combined mass will be? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two balls one of mass m and othe rod mass 2m are moving towards each other with respective speeds of 10m/s and 20m/s on a smooth horizontal floor. if after collision they stick to each other and move as combined mass (perfectly inelastic Collision)then the speed of combined mass will be?.
Two balls one of mass m and othe rod mass 2m are moving towards each other with respective speeds of 10m/s and 20m/s on a smooth horizontal floor. if after collision they stick to each other and move as combined mass (perfectly inelastic Collision)then the speed of combined mass will be? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Two balls one of mass m and othe rod mass 2m are moving towards each other with respective speeds of 10m/s and 20m/s on a smooth horizontal floor. if after collision they stick to each other and move as combined mass (perfectly inelastic Collision)then the speed of combined mass will be? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two balls one of mass m and othe rod mass 2m are moving towards each other with respective speeds of 10m/s and 20m/s on a smooth horizontal floor. if after collision they stick to each other and move as combined mass (perfectly inelastic Collision)then the speed of combined mass will be?.
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