Object "A" has half the mass of object "B". If the two objects have equal momentum, then K.E. of object "A". in terms of K.E. of object "B" will be:
Correct answer: C. K.EA = 2K.EB
- A. K.EA = K.EB
- B. K.EA = 1/2 K.EB
- C. K.EA = 2K.EB
- D. K.EA = 4K.EB
Explanation
Given:Object A has half the mass of object B.The two objects have equal momentum.Known:Momentum, p = mvKinetic energy, KE = 1/2mv^2Solution:Let's say the mass of object B is m, so the mass of object A is m/2. Since the two objects have equal momentum, therefore, the kinetic energy of object A is 2 times the kinetic energy of object B. Hence, this is the correct option.
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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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