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Question

If the linear momentum is increased by 50%, then kinetic energy will be increased by


A

50%

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B

20%

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C

125%

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D

None of these

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Solution

The correct option is C

125%


Step 1: Given

Initial linear momentum, P

Momentum after increasing, P'=P+50%P=P+0.5P=1.5P

Step 2: Determine the kinetic energy

The Kinetic energy is given by,

KE=P22m

(Where P is the momentum and m is the mass)

Step 3: Determine the new kinetic energy

KE'=P'22m=(1.5P)22m=2.25P22m=P22m+1.25P22m=KE+1.25KE=KE+125%KE

Therefore, option C is the correct option.


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