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
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
$R/3$
$R/2$
$R/4$
$R/5$
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
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)
$h = \frac{R}{{{{\left( {\frac{{{v_e}}}{{{v_e}/2}}} \right)}^2} - 1}} = \frac{R}{{4 - 1}} = \frac{R}{3}$
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