Question

"The value of the escape velocity Ve for a stationary body on the surface of a planet is directly proportional to the mass and the radius of the planet". Is this statement true? If not, correct it and write.

Answer 1

Answer:

Given statement is false as escape velocity is directly proportional to the mass and inversely proportional to radius of planet.

Explanation:

Since we know that escape velocity is the minimum velocity required to escape from the planet gravitational field.

The formula for escape velocity is

$V_{e} =\sqrt{\frac{2GM}{R} }$

Where G = Gravitational constant, M = mass of planet, R = radius of planet

So, from the formula we conclude that escape velocity is directly proportional to the mass and inversely proportional to radius of planet.

So the given statement is false.