Question

Calculate the force of Earth's gravity on 1350kg spacecraft that is 1.28 * 10 ^ 6 * m above Earth surface ( Earth's mass is 6*10^ 24 kgg) .

Answer 1

The force of Earth's gravity is 327954 N

Step-by-step explanation:

Given:

Mass of the space craft = 1350 kg

Mass of the earth = 6*10^ 24

Distance = 1.28 * 10 ^ 6

To Find:

The force of Earth's gravity = ?

Solution:

The force of attraction between a planet and an object kept in space is given by the expression

`F =(GMm)/(R^2)`

where

M is the mass of the earth

m is the mass of the space craft

R is the distance between the earth and the space craft and

G is the gravitational constant

On substituting the values

`F =\frac{(6.67 * 10^(-11))(6*10^ {24})(1350)}{(1.28* 10^6)^2}`

`F =((54027* 10^(13)))/((1.28* 10^6)^2)`

`F =((54027* 10^(13)))/((1.6384* 10^(12)))`

F = 327954 N