Two bodies with kinetic energies in the ratio 4:1 are moving with equal linear momentum. The ratio of their masses is:
Correct answer: B. 1:4
- A. 1:2
- B. 1:4
- C. 1:1
- D. 4:1
Explanation
Let's assume the two bodies have masses m1 and m2, with kinetic energies K1 and K2, respectively. We are given that the kinetic energy ratio is 4:1: K1: K2 = 4: 1 The formula for kinetic energy is K = p^2/2m, where m is the mass and p is the momentum. Since the bodies have equal linear momentum, we can write: K1/K2 = m2/m1 4/1 = 1/4 So, the answer would be 1:4.
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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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