Percentage Increase in Momentum – Rankers Physics

Kinetic Energy and Momentum: Practice Problem & Solution

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

Short Solution (Best for NEET):

To solve this problem, we apply the core principles of Kinetic Energy and Momentum. Understanding the underlying formula is key to arriving at the correct answer below:

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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