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A particle is projected vertically upwards from the surface of the Earth with a velocity $v = v_e/2$, where $v_e$ is the escape velocity. What is the maximum height $h$ reached by the particle in terms of the Earth radius $R$?
- A.$R/3$
- B.$R/2$
- C.$R$
- D.$2R/3$
Show correct answer & step-by-step solution
Correct answer: A — $R/3$
Solution
Using conservation of energy, . Since , we find .
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