Question

Two objects attract each other with a gravitational force of magnitude 1.00 3 1028 N when separated by 20.0 cm. If the total mass of the two objects is 5.00 kg, what is the mass of each

Answer 1

The mass of each object is 2kg and 3 kg.

Step-by-step explanation:

Given that,

Gravitational force,
`F=1* 10^(-8)\ N`

The distance between masses, d = 20 cm = 0.2 m

The total mass of the two objects, M + m = 5 kg

M = 5-m

The formula for the gravitational force is :

`F=G(Mm)/(d^2)\\\\1* 10^(-8)=6.67* 10^(-11)* ((5-m)m)/((0.2)^2)\\\\(1*10^(-8))/(6.67*10^(-11))=((5-x)x)/((0.2)^(2))\\\\(1*10^(-8))/(6.67*10^(-11))\cdot(0.2)^(2)\\\\5.99=(5-x)x\\\\x=2\ kg\ and\ 3 \ kg`

So, the mass of each object is 2kg and 3 kg.