A body is projected vertically upwards from the surface of a planet of radius $R$ with a velocity equal to half the escape velocity for that planet. The maximum height attained by the body is

Question

Dr. Abubacker · Accepted Answer

(a) If body is projected with velocity $v(v < v_{e})$ then
Height up to which it will rise, $h = \frac{R}{\frac{v_{e}^{2}}{v^{2}} - 1}$
$v = \frac{v_{e}}{2}$ (Given) $	herefore h = \frac{R}{\left( \frac{\left( v_{e} ight)}{v_{e}/2} ight)^{2} - 1\ } = \frac{R}{4 - 1} = \frac{R}{3}$

Q. A body is projected vertically upwards from the surface of a planet of radius $R$ with a velocity equal to half the escape velocity for that planet. The maximum height attained by the body is

Explanation

Reviewed by Dr. Abubacker

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