Question

Write the formula for escape velocity in terms of g and R.

Answer 1

Answer:

answer is In the adjoining image

hope it helps you

Answer 2

The formula for escape velocity in terms of g and R is $\sqrt{2gR}$.

• The escape velocity is defined as the minimum velocity required by any object to escape from the gravitational force of attraction of Earth.
• $v_{e}$ = $\sqrt{2GM/R}$         (1)

      where $v_{e}$ is the escape velocity of the object,

                 $G$ is the Gravitational constant of the Earth,

                 $M$ is the mass of the object,

                 $R$ is the distance

 As we know,

               g = $GM/R^{2}$

           g$R^{2}$ = $GM$         (2)

Substituting the value of (2) in (1), we get

           $v_{e}$  = $\sqrt{2gR^{2}/R }$

          $v_{e}$   = $\sqrt{2gR}$

Hence, the formula for escape velocity in terms of g and R is$\sqrt{2gR}$.