Question

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?

Answer 1

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