153k views
5 votes
If the gravitational force between objects of equal mass is 5.0*10^-9 N when the object are 12 m a part. What is the mass of each object?

1 Answer

4 votes

The gravitational force is

F = G (one mass) (the other mass) / (distance between them)²

G = the universal gravitational constant
= 6.67 x 10⁻¹¹ newton-meter²/kg²

If the masses are equal, then F = G m²/R²

Divide each side by 'G': F/G = m²/R²

Multiply each side by R² : m² = F R²/ G

Take the square root of each side: m = √(FR²/G)

Mass = √(5 x 10⁻⁹ x 144/ 6.67 x 10⁻¹¹)

= √(500 x 144/ 6.67)

= 103.9 kilogram (rounded)

User Jim Frenette
by
7.5k points

No related questions found