First slide

Gravitaional potential energy

Question

The escape velocity from earth is $v_{e}$ . A body is projected with velocity 2 $v_{e}$ . With what constant velocity will it move in the inter planetary space?

Moderate

A

$v_{e}$
B

$\sqrt{2} v_{e}$
C

$\sqrt{3} v_{e}$
D

$\sqrt{5} v_{e}$

Solution

From conservation of energy $\frac{1}{2} m {(2 V_{e})}^{2} = \frac{1}{2} m {V_{e}}^{2} + \frac{1}{2} m {V^{2}}_{}$
From the above equation V= $\sqrt{3} v_{e}$

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