A spaceship moves from the Earth to the Moon | vedclass

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(B) The forces acting on the spaceship are the gravitational pull due to the Earth and the gravitational pull due to the Moon.Since the mass of the Ea

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take-off from the Earth's field

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(B) The forces acting on the spaceship are the gravitational pull due to the Earth and the gravitational pull due to the Moon.Since the mass of the Earth $(M_E)$ is significantly greater than the mass of the Moon $(M_M)$,the gravitational potential energy required to escape the Earth's gravitational field is much higher than that required for the Moon.Specifically,the escape velocity from the Earth is approximately $11.2 \ km/s$,whereas from the Moon it is only about $2.38 \ km/s$.Therefore,the spaceship requires the greatest amount of energy to overcome the gravitational pull during take-off from the Earth's surface.

$A$ spaceship moves from the Earth to the Moon and back. The greatest energy required for the spaceship is to overcome the difficulty in:

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Maximum height reached by a rocket fired with a speed equal to $50 \%$ of the escape speed from the surface of the earth is ($R$ - Radius of the earth).

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