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A force of 20 Newton acts on a body of mass 20 kg for 5 seconds. Change in its momentum is
  • a)
    100 Ns
  • b)
    80 Ns
  • c)
    25 Ns
  • d)
    60 Ns
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A force of 20 Newton acts on a body of mass 20 kg for 5 seconds. Chan...
Change in momentum = force x time = 20 x 5 = 100 Ns
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Most Upvoted Answer
A force of 20 Newton acts on a body of mass 20 kg for 5 seconds. Chan...
Understanding Momentum Change
Momentum is defined as the product of an object's mass and its velocity. The change in momentum (Δp) can be calculated using the formula:
Δp = F × t
where:
- F = Force applied (in Newtons)
- t = Time duration for which the force is applied (in seconds)
Given Data
- Force (F) = 20 Newtons
- Mass (m) = 20 kg (not directly needed for momentum change calculation)
- Time (t) = 5 seconds
Calculating Change in Momentum
1. Substituting Values:
- Δp = 20 N × 5 s
2. Performing the Calculation:
- Δp = 100 Ns (Newton-seconds)
Conclusion
The change in momentum of the body is 100 Ns, which corresponds to option 'A'.
Why Mass is Not Needed for This Calculation
- In this specific calculation, the mass of the object is not required because we are directly calculating momentum change using force and time.
- If we needed the final velocity or to verify the acceleration, the mass would be crucial.
Key Takeaway
- The change in momentum provides valuable insight into how force affects an object's motion, demonstrating the relationship between force, time, and momentum change effectively.
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A force of 20 Newton acts on a body of mass 20 kg for 5 seconds. Change in its momentum isa)100 Nsb)80 Nsc)25 Nsd)60 NsCorrect answer is option 'A'. Can you explain this answer?
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