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 TRUE about the energy required for an object to be launched in space from those planets?
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Planet Xu needs more energy than Planet Nu.
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Planet Xu needs less energy than Planet Nu.
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Planet Xu and Nu need the same amount of energy.
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Planet Xu and Nu need energy greater than the energy of the sun.
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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 the minimum velocity that a body must attain to escape a gravitation field completely. Jupiter has the highest escape velocity among planets. This is because Jupiter has the highest mass. The escape velocity of Jupiter is 59.5 km/s.
Detailed explanation-3: -Applying the law of conservation of energy., VE is escape velocity, M is the mass of the earth and R is the radius of earth. So, we have the formula for escape velocity as, VE=√2GMR.
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