Percentage Increase in Momentum – Rankers Physics
Topic: Work Energy and Power
Subtopic: Kinetic Energy and Momentum

Percentage Increase in Momentum

If the kinetic energy of a body increases by 800%, its momentum increases by
400%
200%
141%
121%

Solution:

The momentum \(P\) is related to kinetic energy \(K\) by \(P = \sqrt{2mK}\). An 800% increase means the new kinetic energy is \(K' = 9K\). Thus, the new momentum is \(P' = \sqrt{9} P = 3P\), representing an increase of 200%.

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