Two particles have a mass of 8 kg and 12 kg, respectively. If they are 800 mm apart, determine the force of gravity acting between them. Compare this result with the weight of each particle.

Respuesta :

Answer:

The gravitational force between the masses is [tex]1.0\times 10^{-8}Newtons[/tex]

Explanation:

For 2 masses 'm' and 'M' separated by a distance 'd' the gravitational force between them is given by Newton as

[tex]F=G\cdot \frac{mM}{d^{2}}[/tex]

where

'G' is universal gravitational constant whose value is [tex]6.67\times 10^{-11}m^3kg^{-1}s^{-2}[/tex]

Applying the values in the above relation we get

[tex]F=6.67\times 10^{-11}\times \frac{8\times 12}{(800\times 10^{-3})^{2}}=1.0\times 10^{-8}Newtons[/tex]

Weight of 8 kg mass =[tex]8\times 9.81=78.45Newtons[/tex]

Weight of 12 kg mass =[tex]12\times 9.81=117.72Newtons[/tex]

thus we see that gravitational force between the masses is completely negligible as compared to the weight of the masses.