If kinetic energy of a body is increased by 300% then % increase in momentum is:
Correct answer: B. 100%
- A. 300%
- B. 100%
- C. 50%
- D. 200%
Explanation
Let kinetic energy = E and momentum = pE=p²/2m Let initial kinetic energy, E1=EFinal kinetic energy. E2=E+300As p ∞√E⇒p2/p1=√E2/E1=√4E/E=2⇒p2=2p1⇒p2=p1+100i.e. Momentum will increase by 100%
This question appeared on the ETEA MDCAT 2005 paper, which you can sit online with every answer explained.
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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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