contestada

If the mass of one object is tripled, and the distance between them is doubled, how does the force of gravity change?

a. force is multiplied by 4
b. Force is divided 3
c. Force is multiplied 3/4
d. Force is divided 3/4

Respuesta :

nobillionaireNobley
Force between two object is given by F = Gm1m2/r^2
If the mass of one object is tripled, and the distance between them is doubled,
then F(new) = Gm13m2/(2r)^2 = 3Gm1m2/4r^2 = 3/4 x Gm1m2/r^2 = 3/4 x F
i.e. F(new) = 3/4 multiplied by F.
Therefore, Force is multiplied by 3/4.

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