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A disc of mass 2kg is kept floating horizontally in air by firing bullets of mass 0.1kg each vertically at it ,at the rate of 5 per second .if the bullets rebound with the same speed ,the speed with which these are fired will be:?
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A disc of mass 2kg is kept floating horizontally in air by firing bull...
Understanding the problem
A disc of mass 2kg is kept floating horizontally in air by firing bullets of mass 0.1kg each vertically at it, at the rate of 5 per second. The bullets rebound with the same speed. We need to find the speed at which these bullets are fired.
Solution
- Conservation of momentum: When a bullet is fired vertically at the disc, the system consisting of the disc and the bullet experiences an equal and opposite change in momentum. According to the law of conservation of momentum, the momentum of the system before and after the collision remains the same.
- Calculating initial momentum: The initial momentum of the system can be calculated by multiplying the mass of the disc by the initial velocity of the disc (since the bullets are initially at rest).
- Calculating final momentum: The final momentum of the system can be calculated by taking into account the mass and velocity of the disc after the collision with the bullets.
- Equating initial and final momentum: By equating the initial and final momentum, we can solve for the velocity of the bullets. This velocity will be the speed at which the bullets are fired.
- Calculations: By plugging in the given values for mass of the disc, mass of the bullet, and rate of firing, we can calculate the speed at which the bullets are fired.
By following these steps and applying the principles of conservation of momentum, we can determine the speed at which the bullets need to be fired in order to keep the disc floating horizontally in the air.
A disc of mass 2kg is kept floating horizontally in air by firing bullets of mass 0.1kg each vertically at it, at the rate of 5 per second. The bullets rebound with the same speed. We need to find the speed at which these bullets are fired.
Solution
- Conservation of momentum: When a bullet is fired vertically at the disc, the system consisting of the disc and the bullet experiences an equal and opposite change in momentum. According to the law of conservation of momentum, the momentum of the system before and after the collision remains the same.
- Calculating initial momentum: The initial momentum of the system can be calculated by multiplying the mass of the disc by the initial velocity of the disc (since the bullets are initially at rest).
- Calculating final momentum: The final momentum of the system can be calculated by taking into account the mass and velocity of the disc after the collision with the bullets.
- Equating initial and final momentum: By equating the initial and final momentum, we can solve for the velocity of the bullets. This velocity will be the speed at which the bullets are fired.
- Calculations: By plugging in the given values for mass of the disc, mass of the bullet, and rate of firing, we can calculate the speed at which the bullets are fired.
By following these steps and applying the principles of conservation of momentum, we can determine the speed at which the bullets need to be fired in order to keep the disc floating horizontally in the air.
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A disc of mass 2kg is kept floating horizontally in air by firing bullets of mass 0.1kg each vertically at it ,at the rate of 5 per second .if the bullets rebound with the same speed ,the speed with which these are fired will be:?
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A disc of mass 2kg is kept floating horizontally in air by firing bullets of mass 0.1kg each vertically at it ,at the rate of 5 per second .if the bullets rebound with the same speed ,the speed with which these are fired will be:? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A disc of mass 2kg is kept floating horizontally in air by firing bullets of mass 0.1kg each vertically at it ,at the rate of 5 per second .if the bullets rebound with the same speed ,the speed with which these are fired will be:? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A disc of mass 2kg is kept floating horizontally in air by firing bullets of mass 0.1kg each vertically at it ,at the rate of 5 per second .if the bullets rebound with the same speed ,the speed with which these are fired will be:?.
A disc of mass 2kg is kept floating horizontally in air by firing bullets of mass 0.1kg each vertically at it ,at the rate of 5 per second .if the bullets rebound with the same speed ,the speed with which these are fired will be:? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A disc of mass 2kg is kept floating horizontally in air by firing bullets of mass 0.1kg each vertically at it ,at the rate of 5 per second .if the bullets rebound with the same speed ,the speed with which these are fired will be:? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A disc of mass 2kg is kept floating horizontally in air by firing bullets of mass 0.1kg each vertically at it ,at the rate of 5 per second .if the bullets rebound with the same speed ,the speed with which these are fired will be:?.
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