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A rocket is sent vertically up with a velocity  less than the escape velocity from the earth. Taking  and  as the mass and radius of earth, the maximum height  attained by the rocket is given by the following expression

a)

b)

c)

d)



Question ID - 55203 | SaraNextGen Top Answer

A rocket is sent vertically up with a velocity  less than the escape velocity from the earth. Taking  and  as the mass and radius of earth, the maximum height  attained by the rocket is given by the following expression

a)

b)

c)

d)

1 Answer
127 votes
Answer Key / Explanation : (c) -

(c)

If  is the mass of racket,  that of earth and  is the radius of earth, then gravitational potential energy of racket near the surface of earth

Gravitational potential energy of racket at a height  from earth’s surface

Increase in gravitational potential energy of racket

If  is the escape velocity of racket, then

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