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The velocity of a body of Mass 10kg increases from 4m/s to 8m/s when a force acts on it for 2s.
What is the momentum gain in momentum per sec?
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The velocity of a body of Mass 10kg increases from 4m/s to 8m/s when a...
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The velocity of a body of Mass 10kg increases from 4m/s to 8m/s when a...
Given information:
- Mass of the body (m) = 10 kg
- Initial velocity (u) = 4 m/s
- Final velocity (v) = 8 m/s
- Time duration (t) = 2 s
Momentum:
Momentum is the product of an object's mass and its velocity. It is a vector quantity and its SI unit is kg·m/s.
Formula for momentum:
Momentum (p) = mass (m) × velocity (v)
Calculating initial momentum:
Initial momentum (p1) = mass × initial velocity = m × u
Calculating final momentum:
Final momentum (p2) = mass × final velocity = m × v
Change in momentum:
Change in momentum (∆p) = Final momentum - Initial momentum = p2 - p1
Calculating the gain in momentum per second:
The gain in momentum per second can be calculated by dividing the change in momentum by the time duration.
Gain in momentum per second = ∆p / t
Calculating the change in momentum:
∆p = p2 - p1 = (m × v) - (m × u) = m × (v - u)
Substituting the given values:
∆p = 10 kg × (8 m/s - 4 m/s) = 10 kg × 4 m/s = 40 kg·m/s
Calculating the gain in momentum per second:
Gain in momentum per second = ∆p / t = 40 kg·m/s / 2 s = 20 kg·m/s²
Conclusion:
The gain in momentum per second is 20 kg·m/s². This means that for every second the force acts on the body, its momentum increases by 20 kg·m/s.
- Mass of the body (m) = 10 kg
- Initial velocity (u) = 4 m/s
- Final velocity (v) = 8 m/s
- Time duration (t) = 2 s
Momentum:
Momentum is the product of an object's mass and its velocity. It is a vector quantity and its SI unit is kg·m/s.
Formula for momentum:
Momentum (p) = mass (m) × velocity (v)
Calculating initial momentum:
Initial momentum (p1) = mass × initial velocity = m × u
Calculating final momentum:
Final momentum (p2) = mass × final velocity = m × v
Change in momentum:
Change in momentum (∆p) = Final momentum - Initial momentum = p2 - p1
Calculating the gain in momentum per second:
The gain in momentum per second can be calculated by dividing the change in momentum by the time duration.
Gain in momentum per second = ∆p / t
Calculating the change in momentum:
∆p = p2 - p1 = (m × v) - (m × u) = m × (v - u)
Substituting the given values:
∆p = 10 kg × (8 m/s - 4 m/s) = 10 kg × 4 m/s = 40 kg·m/s
Calculating the gain in momentum per second:
Gain in momentum per second = ∆p / t = 40 kg·m/s / 2 s = 20 kg·m/s²
Conclusion:
The gain in momentum per second is 20 kg·m/s². This means that for every second the force acts on the body, its momentum increases by 20 kg·m/s.
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The velocity of a body of Mass 10kg increases from 4m/s to 8m/s when a force acts on it for 2s.What is the momentum gain in momentum per sec?
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The velocity of a body of Mass 10kg increases from 4m/s to 8m/s when a force acts on it for 2s.What is the momentum gain in momentum per sec? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The velocity of a body of Mass 10kg increases from 4m/s to 8m/s when a force acts on it for 2s.What is the momentum gain in momentum per sec? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The velocity of a body of Mass 10kg increases from 4m/s to 8m/s when a force acts on it for 2s.What is the momentum gain in momentum per sec?.
The velocity of a body of Mass 10kg increases from 4m/s to 8m/s when a force acts on it for 2s.What is the momentum gain in momentum per sec? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The velocity of a body of Mass 10kg increases from 4m/s to 8m/s when a force acts on it for 2s.What is the momentum gain in momentum per sec? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The velocity of a body of Mass 10kg increases from 4m/s to 8m/s when a force acts on it for 2s.What is the momentum gain in momentum per sec?.
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