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And open carriage in a good strain is moving with a uniform velocity of 10 m per second if the rain ads water with zero velocity at the rate of 5 kg per second then the additional force required by the engine to maintain the same velocity of the train is?
Most Upvoted Answer
And open carriage in a good strain is moving with a uniform velocity o...
Understanding the Scenario
In this scenario, a train is moving at a constant velocity of 10 m/s while rain is falling vertically with zero horizontal velocity. The rain adds mass to the train at a rate of 5 kg/s. To maintain its velocity, the train's engine must counteract the effects of this added mass.
Key Concepts
- Conservation of Momentum: When the rain collects in the train, it effectively increases the train's mass, requiring additional force to maintain its velocity.
- Force Calculation: The additional force needed can be calculated using the principle of momentum change.
Applying the Principles
- Mass Addition: The rain adds 5 kg of mass per second. Therefore, the train's mass increases by this amount continuously.
- Momentum Change: The momentum change per second due to the added mass (5 kg) moving at the train's speed (10 m/s) is given by:
Change in momentum = mass flow rate × velocity
= 5 kg/s × 10 m/s = 50 kg·m/s
- Force Requirement: According to Newton’s second law, the force required to maintain this momentum change is equal to the rate of change of momentum.
Conclusion
- Additional Force: The additional force required by the engine to maintain the same velocity of the train, considering the mass being added by the rain, is 50 N (Newtons).
This analysis shows how the train's engine must compensate for the increased mass due to rain to sustain its uniform motion.
In this scenario, a train is moving at a constant velocity of 10 m/s while rain is falling vertically with zero horizontal velocity. The rain adds mass to the train at a rate of 5 kg/s. To maintain its velocity, the train's engine must counteract the effects of this added mass.
Key Concepts
- Conservation of Momentum: When the rain collects in the train, it effectively increases the train's mass, requiring additional force to maintain its velocity.
- Force Calculation: The additional force needed can be calculated using the principle of momentum change.
Applying the Principles
- Mass Addition: The rain adds 5 kg of mass per second. Therefore, the train's mass increases by this amount continuously.
- Momentum Change: The momentum change per second due to the added mass (5 kg) moving at the train's speed (10 m/s) is given by:
Change in momentum = mass flow rate × velocity
= 5 kg/s × 10 m/s = 50 kg·m/s
- Force Requirement: According to Newton’s second law, the force required to maintain this momentum change is equal to the rate of change of momentum.
Conclusion
- Additional Force: The additional force required by the engine to maintain the same velocity of the train, considering the mass being added by the rain, is 50 N (Newtons).
This analysis shows how the train's engine must compensate for the increased mass due to rain to sustain its uniform motion.
Community Answer
And open carriage in a good strain is moving with a uniform velocity o...
CHANGE IN MOMENTUM= mass flow rate × velocity
∆p=5×10
∆p=50
ACCORDING TO NEWTON'S SECOND LAW : rate of change of momentum is directly proportional to the applied force .
SO,
required additional force is 50N.
∆p=5×10
∆p=50
ACCORDING TO NEWTON'S SECOND LAW : rate of change of momentum is directly proportional to the applied force .
SO,
required additional force is 50N.
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And open carriage in a good strain is moving with a uniform velocity of 10 m per second if the rain ads water with zero velocity at the rate of 5 kg per second then the additional force required by the engine to maintain the same velocity of the train is?
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And open carriage in a good strain is moving with a uniform velocity of 10 m per second if the rain ads water with zero velocity at the rate of 5 kg per second then the additional force required by the engine to maintain the same velocity of the train is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about And open carriage in a good strain is moving with a uniform velocity of 10 m per second if the rain ads water with zero velocity at the rate of 5 kg per second then the additional force required by the engine to maintain the same velocity of the train is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for And open carriage in a good strain is moving with a uniform velocity of 10 m per second if the rain ads water with zero velocity at the rate of 5 kg per second then the additional force required by the engine to maintain the same velocity of the train is?.
And open carriage in a good strain is moving with a uniform velocity of 10 m per second if the rain ads water with zero velocity at the rate of 5 kg per second then the additional force required by the engine to maintain the same velocity of the train is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about And open carriage in a good strain is moving with a uniform velocity of 10 m per second if the rain ads water with zero velocity at the rate of 5 kg per second then the additional force required by the engine to maintain the same velocity of the train is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for And open carriage in a good strain is moving with a uniform velocity of 10 m per second if the rain ads water with zero velocity at the rate of 5 kg per second then the additional force required by the engine to maintain the same velocity of the train is?.
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