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Q13) A piece of wood of mass 0.03kg is dropped from the top of a building 100m high. At the same time, a bullet of mass 0 02kg is fired vertically upwards with a velocity of 100m/s from the ground The bullet gets embedded in the wooden piece after striking Find the height (in m) above the building to which the combination rises, before it starts falling down. Air friction is zero When they meet and stick together, assume no effect of gravity in that very tiny duration?
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Q13) A piece of wood of mass 0.03kg is dropped from the top of a build...
Introduction
A wooden piece and a bullet are involved in a collision where the bullet is fired upwards and the wooden piece is dropped from a height. We need to determine the height above the building to which they rise together after the collision.
Step 1: Calculate the Velocity of the Wooden Piece Just Before Impact
- The wooden piece is dropped from a height of 100m.
- Using the equation of motion: v = √(2gh), where g = 9.8 m/s².
Step 2: Calculate the Velocity of the Bullet Just Before Impact
- The bullet is fired upwards with a velocity of 100 m/s.
- The bullet's upward motion will be affected by gravity until it meets the wooden piece.
Step 3: Determine the Time of Flight for Both Objects
- Calculate the time taken by the bullet to reach the wooden piece.
- Use the equation: s = ut + (1/2)gt² for the bullet’s upward motion.
Step 4: Use Conservation of Momentum
- At the moment they collide, use the conservation of momentum:
(mass of bullet * velocity of bullet) + (mass of wood * velocity of wood) = (combined mass) * velocity after collision.
Step 5: Calculate the Height Reached by the Combined Mass
- After the collision, use the initial velocity of the combined mass to find the maximum height reached.
Using the equation: v² = u² + 2gh, where v = 0 at the maximum height.
Conclusion
- By solving these equations step by step, you can find the height above the building that the combination rises to before falling back down.
- This height is the sum of the height of the building and the additional height gained after the collision.
In summary, by applying principles of kinematics and conservation of momentum, the problem can be systematically solved to find the desired height.
A wooden piece and a bullet are involved in a collision where the bullet is fired upwards and the wooden piece is dropped from a height. We need to determine the height above the building to which they rise together after the collision.
Step 1: Calculate the Velocity of the Wooden Piece Just Before Impact
- The wooden piece is dropped from a height of 100m.
- Using the equation of motion: v = √(2gh), where g = 9.8 m/s².
Step 2: Calculate the Velocity of the Bullet Just Before Impact
- The bullet is fired upwards with a velocity of 100 m/s.
- The bullet's upward motion will be affected by gravity until it meets the wooden piece.
Step 3: Determine the Time of Flight for Both Objects
- Calculate the time taken by the bullet to reach the wooden piece.
- Use the equation: s = ut + (1/2)gt² for the bullet’s upward motion.
Step 4: Use Conservation of Momentum
- At the moment they collide, use the conservation of momentum:
(mass of bullet * velocity of bullet) + (mass of wood * velocity of wood) = (combined mass) * velocity after collision.
Step 5: Calculate the Height Reached by the Combined Mass
- After the collision, use the initial velocity of the combined mass to find the maximum height reached.
Using the equation: v² = u² + 2gh, where v = 0 at the maximum height.
Conclusion
- By solving these equations step by step, you can find the height above the building that the combination rises to before falling back down.
- This height is the sum of the height of the building and the additional height gained after the collision.
In summary, by applying principles of kinematics and conservation of momentum, the problem can be systematically solved to find the desired height.
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Q13) A piece of wood of mass 0.03kg is dropped from the top of a building 100m high. At the same time, a bullet of mass 0 02kg is fired vertically upwards with a velocity of 100m/s from the ground The bullet gets embedded in the wooden piece after striking Find the height (in m) above the building to which the combination rises, before it starts falling down. Air friction is zero When they meet and stick together, assume no effect of gravity in that very tiny duration?
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Q13) A piece of wood of mass 0.03kg is dropped from the top of a building 100m high. At the same time, a bullet of mass 0 02kg is fired vertically upwards with a velocity of 100m/s from the ground The bullet gets embedded in the wooden piece after striking Find the height (in m) above the building to which the combination rises, before it starts falling down. Air friction is zero When they meet and stick together, assume no effect of gravity in that very tiny duration? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Q13) A piece of wood of mass 0.03kg is dropped from the top of a building 100m high. At the same time, a bullet of mass 0 02kg is fired vertically upwards with a velocity of 100m/s from the ground The bullet gets embedded in the wooden piece after striking Find the height (in m) above the building to which the combination rises, before it starts falling down. Air friction is zero When they meet and stick together, assume no effect of gravity in that very tiny duration? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Q13) A piece of wood of mass 0.03kg is dropped from the top of a building 100m high. At the same time, a bullet of mass 0 02kg is fired vertically upwards with a velocity of 100m/s from the ground The bullet gets embedded in the wooden piece after striking Find the height (in m) above the building to which the combination rises, before it starts falling down. Air friction is zero When they meet and stick together, assume no effect of gravity in that very tiny duration?.
Q13) A piece of wood of mass 0.03kg is dropped from the top of a building 100m high. At the same time, a bullet of mass 0 02kg is fired vertically upwards with a velocity of 100m/s from the ground The bullet gets embedded in the wooden piece after striking Find the height (in m) above the building to which the combination rises, before it starts falling down. Air friction is zero When they meet and stick together, assume no effect of gravity in that very tiny duration? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Q13) A piece of wood of mass 0.03kg is dropped from the top of a building 100m high. At the same time, a bullet of mass 0 02kg is fired vertically upwards with a velocity of 100m/s from the ground The bullet gets embedded in the wooden piece after striking Find the height (in m) above the building to which the combination rises, before it starts falling down. Air friction is zero When they meet and stick together, assume no effect of gravity in that very tiny duration? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Q13) A piece of wood of mass 0.03kg is dropped from the top of a building 100m high. At the same time, a bullet of mass 0 02kg is fired vertically upwards with a velocity of 100m/s from the ground The bullet gets embedded in the wooden piece after striking Find the height (in m) above the building to which the combination rises, before it starts falling down. Air friction is zero When they meet and stick together, assume no effect of gravity in that very tiny duration?.
Solutions for Q13) A piece of wood of mass 0.03kg is dropped from the top of a building 100m high. At the same time, a bullet of mass 0 02kg is fired vertically upwards with a velocity of 100m/s from the ground The bullet gets embedded in the wooden piece after striking Find the height (in m) above the building to which the combination rises, before it starts falling down. Air friction is zero When they meet and stick together, assume no effect of gravity in that very tiny duration? in English & in Hindi are available as part of our courses for UPSC.
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Here you can find the meaning of Q13) A piece of wood of mass 0.03kg is dropped from the top of a building 100m high. At the same time, a bullet of mass 0 02kg is fired vertically upwards with a velocity of 100m/s from the ground The bullet gets embedded in the wooden piece after striking Find the height (in m) above the building to which the combination rises, before it starts falling down. Air friction is zero When they meet and stick together, assume no effect of gravity in that very tiny duration? defined & explained in the simplest way possible. Besides giving the explanation of
Q13) A piece of wood of mass 0.03kg is dropped from the top of a building 100m high. At the same time, a bullet of mass 0 02kg is fired vertically upwards with a velocity of 100m/s from the ground The bullet gets embedded in the wooden piece after striking Find the height (in m) above the building to which the combination rises, before it starts falling down. Air friction is zero When they meet and stick together, assume no effect of gravity in that very tiny duration?, a detailed solution for Q13) A piece of wood of mass 0.03kg is dropped from the top of a building 100m high. At the same time, a bullet of mass 0 02kg is fired vertically upwards with a velocity of 100m/s from the ground The bullet gets embedded in the wooden piece after striking Find the height (in m) above the building to which the combination rises, before it starts falling down. Air friction is zero When they meet and stick together, assume no effect of gravity in that very tiny duration? has been provided alongside types of Q13) A piece of wood of mass 0.03kg is dropped from the top of a building 100m high. At the same time, a bullet of mass 0 02kg is fired vertically upwards with a velocity of 100m/s from the ground The bullet gets embedded in the wooden piece after striking Find the height (in m) above the building to which the combination rises, before it starts falling down. Air friction is zero When they meet and stick together, assume no effect of gravity in that very tiny duration? theory, EduRev gives you an
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