Two spheres are placed so that their centers are 2.6m apart. the force between the two spheres is 2.75*10^-12. what is the mass of each sphere if one sphere is twice the mass of the sphere?

1. To solve this problem, you must apply formula of Universal Gravitation Law, which is shown below:

F=Gm1m2/r²

F=2.75x10^-12

G=6.7x10^-11

r=2.6 m

m2=2m1

2. You must clear m1, as below:

F=G (m1) (2m1) / r²

F=G (2m1) ²/r²

m1=√ (Fr²/2G)

3. When you susbtitute the values into the formula m1=√ (Fr²/2G), you obtain:

m1=√ (Fr²/2G)

m1√0.13

m1=0.37

m2=2m1

m2=2 (0.37)

m2=0.74

4. Therefore, the answer is:

m1=0.37

m2=0.74