The escape velocity from earth is ${v_{es}}.$ A body is projected with velocity $2{v_{es}}$ with what constant velocity will it move in the inter planetary space
${v_{es}}$
$3{v_{es}}$
$\sqrt 3 {v_{es}}$
$\sqrt 5 {v_{es}}$
The escape velocity from earth is ${v_{es}}.$ A body is projected with velocity $2{v_{es}}$ with what constant velocity will it move in the inter planetary space
Velocity of body in inter planetary space $v' = \sqrt {{v^2} - v_{es}^2} $
where ${v_{es}} = $ escape velocity and $v =$ velocity of projection
$v' = \sqrt {{{(2{v_{es}})}^2} - v_{es}^2} = \sqrt {3v_{es}^2} $
$⇒ v' = \sqrt 3 \;{v_{es}}$
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