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

Answer:

The force of Earth's gravity is 327954 N

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

$F =\frac{GMm}{R^2}$

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

$F =\frac{(6.67 \times 10^{-11})(6\times10^ {24})(1350)}{(1.28\times 10^6)^2}$

$F =\frac{(54027\times 10^{13})}{(1.28\times 10^6)^2}$

$F =\frac{(54027\times 10^{13})}{(1.6384\times 10^{12})}$

F = 327954 N