First slide

Gravitaional potential energy

Question

The escape velocity of a body from the surface of the earth is nearly

Easy

A

7.98 kms^-1
B

8.92 kms^-1
C

10.48 kms^-1
D

11.2 kms^-1

Solution

$\large V_e=\sqrt {\frac {2GM}{R}}$
$\large V_e=\sqrt {\frac {2GM}{R}}=\sqrt {2.\frac {GM}{R^2}.R}=\sqrt {2gR}$
$\large =\sqrt {2\times9.8\times64\times10^5}m/s=11.2km/hr$

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