GK
PHYSICS
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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If planet Xu has an escape velocity of 95, 861 m/s and planet Nu has an escape velocity of 53, 656 m/s, which is CORRECT about the mass of planet Xu?
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It is greater than the mass of planet Nu.
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It is equal to the mass of planet Nu.
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It is less than the mass of planet Nu.
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It has negligible mass compared to Nu.
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Explanation:
Detailed explanation-1: -The escape velocity vesc is expressed as vesc = Square root of√2GMr, where G is the gravitational constant, M is the mass of the attracting mass, and r is the distance from the centre of that mass.
Detailed explanation-2: -Escape velocity is independent of the mass of the projected body provided the air resistance is neglected. Hence, the escape velocity of 10kg10kg of the iron ball projected from the earth is same that of escape velocity of 10g10g projected from the earth i.e., 11.2kms−1.
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