Question

The escape velocity from earth is 11.2 km/s . If a body is to be projected in a direction making an angle of 45${}^0$ to the vertical , then the escape velocity is the

• A. $11.2\times 2km/s$
• B. 11.2 km/s
• C. $11.2\times \frac{1}{\sqrt{2}}km/s$
• D. $11.2\sqrt{}2km/s$

Answer 1

The correct option is B 11.2 km/s

Scape velocity, ${\text{V}}_e=\sqrt{2\text{gR}}=\sqrt{\frac{2\text{GM}}{R}}$

Escape velocity does not depend on the angle of projection. Escape velocity will remain same.

Hence, scape velocity is $11.2km/s$ .