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JEE Main 20246 AprilMorning Shift

Exam: JEE Main
Year: 2024
Date: 6 April
Shift: Morning Shift
Subject: Physics
Chapter: Gravitation

JEE Main 2024 · 6 April · Morning Shift · Physics · Gravitation

To project a body of mass m from earth's surface to infinity, the...

To project a body of mass

m

from earth's surface to infinity, the required kinetic energy is (assume, the radius of earth is

R_E, g=

acceleration due to gravity on the surface of earth):

Options

A $2 m g R_E$
B $4 m g R_E$
C $m g R_E$
D $1 / 2 m g R_E$

Correct answer

C. $m g R_E$

Step-by-step solution

\begin{aligned} & \frac{1}{2} \mathrm{mv}_{\mathrm{e}}^2=\frac{\mathrm{GMm}}{\mathrm{R}_{\mathrm{E}}} \\ & \mathrm{g}=\frac{\mathrm{GM}}{\mathrm{R}_{\mathrm{E}}^2} \\ & \mathrm{~K}=\mathrm{mgR}_{\mathrm{E}}\end{aligned}

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