If velocity is double, then:
Correct answer: D. Momentum increases 2 times and K.E increases 4 times
- A. Momentum increases 4 times and K.E increases 2 times
- B. Momentum and K.E remain the same
- C. Momentum increases 2 times and K.E increases constantly
- D. Momentum increases 2 times and K.E increases 4 times
Explanation
Option D is correct. When velocity is doubled, the momentum, which is calculated using p = m.v, increases by a factor of 2. The kinetic energy, calculated using K.E = 1/2 m.v2, increases by a factor of 4 because the velocity is squared in the formula. Option A is incorrect because it reverses the effects on momentum and kinetic energy. Option B is incorrect because both physical quantities do change with velocity. Option C misunderstands the relationship between velocity and kinetic energy, which increases fourfold rather than remaining constant.
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Work transfers energy when a force causes displacement, while kinetic energy, gravitational potential energy and power describe motion, position and the rate of energy transfer. The work-energy theorem links net work with change in kinetic energy, and efficiency accounts for energy losses rather than treating them as energy destruction.
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