How much mass must you place
0.0250 m from a 0.512 kg Coke
bottle to create 0.00100 N of
gravitational force between them?

Unit: mass ( kg )

18301.4Kg

Explanation:

Step 1:

Data obtained from the question. This include the following:

Mass 1 (M1) = 0.512Kg

Mass 2 (M2) =..?

Distance apart (r) = 0.0250m

Force (F) = 0.001N

Gravitational force constant (G) = 6.67x10^-11Nm²/Kg²

Step 2:

Determination of the mass, M2 needed to create a force of 0.001N.

This can be obtained as follow:

F = GM1M2/r²

0.001 = 6.67x10^-11 x 0.512 xM2/0.025²

Cross multiply

6.67x10^-11 x 0.512 xM2 = 0.001x0.025²

Divide both side by 6.67x10^-11 x 0.512

M2 = (0.001x0.025²)/(6.67x10^-11x0.512)

M2 = 18301.4Kg

Therefore, a mass of 18301.4Kg is needed