Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Gravitation

Question:

A body of mass m is situated on the earth in the gravitational field of sun. For the body to escape from the gravitational pull of the solar system the body must be imparted an escape velocity of (assume earth to be stationary).

Options:

11.2 kms– 1

22.4 kms– 1

33.6 kms– 1

42 kms– 1

Correct Answer:

42 kms– 1

Explanation:

v = $\sqrt{\frac{2 GM_{s}}{R_{se}}}$

$\Rightarrow v=\sqrt{\frac{2\left(6.67 \times 10^{-11}\right)\left(2 \times 10^{30}\right)}{1.5 \times 10^{11}}}$

⇒ v = 42.174 kms– 1