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Calculate the change in momentum of a body weighing 10 kg when its velocity decreases from 20 m/s to 0.2 m/s.
- a)-198 Ns
- b)204 Ns
- c)+198 Ns
- d)-204 Ns
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Calculate the change in momentum of a body weighing 10 kg when its ve...
Change in momentum = m × (v - u)
= 10 × (0.2 - 20 )
= 10 × (-19.8)
= -198 Ns.
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Calculate the change in momentum of a body weighing 10 kg when its ve...
Given:
Mass of the body, m = 10 kg
Initial velocity, u = 20 m/s
Final velocity, v = 0.2 m/s
Formula:
Change in momentum, Δp = m(v - u)
Calculation:
Substituting the given values into the formula, we get:
Δp = 10(0.2 - 20)
= 10(-19.8)
= -198 Ns
Explanation:
- Momentum is a vector quantity that depends on the mass and velocity of an object.
- The change in momentum of an object is equal to the product of its mass and the change in velocity.
- In this case, the body weighs 10 kg and its initial velocity is 20 m/s.
- The final velocity is given as 0.2 m/s.
- To calculate the change in momentum, we subtract the initial velocity from the final velocity and multiply the result by the mass of the body.
- The change in velocity is (0.2 - 20) = -19.8 m/s.
- Multiplying this by the mass of the body (10 kg) gives us -198 Ns as the change in momentum.
- The negative sign indicates that the direction of the change in momentum is opposite to the initial momentum.
- Therefore, the correct answer is option 'A' (-198 Ns).
Mass of the body, m = 10 kg
Initial velocity, u = 20 m/s
Final velocity, v = 0.2 m/s
Formula:
Change in momentum, Δp = m(v - u)
Calculation:
Substituting the given values into the formula, we get:
Δp = 10(0.2 - 20)
= 10(-19.8)
= -198 Ns
Explanation:
- Momentum is a vector quantity that depends on the mass and velocity of an object.
- The change in momentum of an object is equal to the product of its mass and the change in velocity.
- In this case, the body weighs 10 kg and its initial velocity is 20 m/s.
- The final velocity is given as 0.2 m/s.
- To calculate the change in momentum, we subtract the initial velocity from the final velocity and multiply the result by the mass of the body.
- The change in velocity is (0.2 - 20) = -19.8 m/s.
- Multiplying this by the mass of the body (10 kg) gives us -198 Ns as the change in momentum.
- The negative sign indicates that the direction of the change in momentum is opposite to the initial momentum.
- Therefore, the correct answer is option 'A' (-198 Ns).
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