a body is at height equal to the radius of the earth from the surface of earth with what - Physics - Gravitation

Question

a body is at height equal to the radius of the earth from the
surface of earth with what velocity be it thrown so that it goes
out of gravitation field of earth mass of earth 6into 10*24 kg
radius of earth 6 4 into 10*6 m

Saisuraj Karra · Accepted Answer

Given: Height of the body = Radius of Earth

Mass of Earth = 6 x 10 24 kg

Radius of Earth = 6 4 x 106 m

Escape velocity of earth i e , ve = (2 g R)0
5 ( Sorry I can't express under root symbol)

First we need to find, the acceleration due to gravity at the given
height

So, gh = 9 8 x 6 4 x 10 24 ( From,
gh = g R2 )
6 4 x 10 24 + 6 4 x 10 24 (R +
h)2

gh = 4 9 ms-1 ( After simplification)

Now put the value of gh in g in (2 g R)0
5

ve = (2 x 4 9 x 6 4 x 106)0 5
 ve ~ 8 x 102 ( Exact value is 7 9
x 102)

Hope this helps you

a body is at height equal to the radius of the earth from the surface of earth. with what velocity be it thrown so that it goes out of gravitation field of earth mass of earth 6into 10*24 kg radius of earth 6.4 into 10*6 m

a body is at height equal to the radius of the earth from the surface of earth. with what velocity be it thrown so that it goes out of gravitation field of earth mass of earth 6into 1024 kg radius of earth 6.4 into 106 m