Question

The escape velocity of 10g body from the earth is $11.2km{s}^{-1}$. Ignoring air resistance, the escape velocity of 10 kg of the iron ball from the earth will be

• A. $0.0112km{s}^{-1}$
• B. $0.112km{s}^{-1}$
• C. $11.2km{s}^{-1}$
• D. $0.56km{s}^{-1}$

Answer 1

The correct option is C $11.2km{s}^{-1}$

The escape velocity of a body from the surface of the Earth is the minimum velocity required by a body to go out of the Earth.

The escape velocity of the Earth is given by:

$v_e=\sqrt{\frac{GM}{R}}$

Here, $G$ is the gravitational constant, $M$ is the mass of the Earth and $R$ is the radius of Earth.

Here, the esape velocity of a body from the Earth does not depend on the mass of the body. It remains constant for all the body. So, for iron ball of mass $10kg$, the escape velocity will be $11.2km/s$.

Option $\left(C\right)$ is correct.