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Asked in MDCAT Test Series — Electrostatics, Work and Energy

If momentum is increased by two times, K.E increases by:

Correct answer: C. Four times

  • A. Two times
  • B. 3 times
  • C. Four times
  • D. Remains same

Explanation

As KE=1/2*mv2=p2/2mKE∝p2KE1=p12 eq1KE2=p2² eq2Dividing eq2 by eq 1,we getKE2/KE1=p2²/p1² eq3 taking p1as p and p2 as 2pput value in eq 3we get KE2=(2p)2/p2*KE1 KE2 = 4KE1By doubling the momentum, KE is quadrupeled.

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About Linear Momentum

Linear momentum is the vector product of mass and velocity, p = mv, and changes when a net external force acts. Work includes impulse as the change in momentum, conservation of momentum in isolated systems, collisions and explosions, and the distinction between elastic, inelastic and perfectly inelastic collisions.

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