Question

Two objects of mass 200kg and 800kg is separated by a distance of 50 m. find the gravitational force between the two bodies...

Answer 1

$\textbf{\huge{\underline{Hello Mate!}}}$

Gravitational force = GMm / R².

Here, M = 800 kg and m = 200 kg and distance between them is 50 m.

$= \frac{6.67 \times {10}^{ - 11} \times 800 \times 200}{ {50}^{2} } \\ = \frac{6.67 \times {10}^{ - 11} \times 800 \times 200}{50 \times 50} \\ = 6.67 \times {10}^{ - 11} \times 16 \times 4 \\ = 426.88 \times {10}^{ - 11} \\ = 4.2688 \times {10}^{ - 9}$

Hence we notice that gravitational force between two object is so small that its negligible.

$\textbf{Have great future ahead!}$

Answer 2

THEORETICAL LOGIC

Since gravitational attraction is reciprocally proportional to the square root of the separation distance between the 2 interacting objects, As we continue increasing the distance between the two objects then it will result in weakening the gravitational effect between the two. Hence it will become neglect-able for calculation purposes.

Mathematical solution to the problem

Given

M1 = 200kg

M2 = 800kg

distance between the two = 50m

Calculate

gravitational force = ?

Solution

g = G(M1)(M2)/r^2

g = {6.67x10^(-11) x 200 x 800}/2500

g = 4.27 x 10^(-9)

As you can notice that the gravitational force between the two bodies is too much small and neglected it will not effect your overall calculations.