calculate the escape velocity on the surface of earth, acceleration due to gravity will be 36 percent of its value on the surface of earth .if mean radius is 6400 km?

Not getting.plz solve it

Not getting it

To calculate the escape velocity on the surface of Earth, we need to know the gravitational acceleration at the surface and the Earth's mean radius.

Given:
Acceleration due to gravity on the surface of Earth = 36 percent of its value on the surface of the Earth
Mean radius of Earth (R) = 6400 km

To find the acceleration due to gravity at the surface of Earth, we can use the formula:

g = (GM) / (R^2)

where G is the gravitational constant (approximately 6.67430 × 10^-11 N(m/kg)^2) and M is the mass of the Earth.

Next, we need to calculate the acceleration due to gravity at the surface. Since the given acceleration is 36 percent of the surface value, we can write it as:

g(surface) = 0.36 * g

Now we can calculate the escape velocity using the formula:

v = sqrt(2 * g * R)

Substituting the values that we have, we get:

g(surface) = 0.36 * g
v = sqrt(2 * g(surface) * R)

Now, let's plug in the given values and calculate the answer.