Question

Two objects attract each other with a gravitational force

ofmagnitude 1.00 x 10-8 N when separated by 20.0 cm.
Ifthe total mass of the two objects is 5.00 kg, what is the mass
ofeach?

Answer 1

mass of bigger object M= 3 kg and mass of smaller object m= 2 kg

Step-by-step explanation:

force between two objects F= 1.00×10^-8 N

distance between them R= 20 cm = 0.2 m

total mass M+m= 5 kg

We know that

`F= G(Mm)/(R^2)`

putting the values we get

`10^(-8)= 6.67*10^(-11)(M* m)/(0.2^2)`

M×m= 6

and M+m= 5

therefore we can calculate that M= 3 kg and m= 2 kg

mass of bigger object M= 3 kg and mass of smaller object m= 2 kg