The escape velocity v of a body depends upon the acceleration due to gravity of the planet and the radius of the planet R. Establish dimensionally the relationship between v, g and R.

The escape velocity v of a body depends upon (i) the acceleration due to gravity of the planet and (ii) the radius of the planet R. Establish dimensionally the relationship between v, g and R.

Does the escape velocity of a body depend on the density of a planet?

Does the escape velocity of a body depend on the density of a planet ?

For a planet the escape velocity (v) of a body depends upon the radius ( R) of the planet and acceleration due to gravity (g) . Establish a relation among the above physical quantities.

If R is the radius of a planet and g is the acceleration due to gravity, then the mean density of the planet is given by