A man who weighs 60 kg on earth, weighs 61 kg on a rocket as measured by an observer on the earth. What is the speed of the rocket?
Answer: 4.5 × 10^7 m/s
Explanation
Using the relativistic mass equation:m = m0 / sqrt(1 - v^2/c^2)
Rearranging to solve for v:
v ≈ sqrt(1 - (m0/m)^2) × c
Plugging in the values:
v ≈ sqrt(1 - (60/61)^2) × 3.0 × 10^8 m/s
≈ 4.5 × 10^7 m/s
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