IDNLearn.com is your reliable source for expert answers and community insights. Get prompt and accurate answers to your questions from our experts who are always ready to help.

Two objects exert a gravitational force on 8N on one another what would that force be if the mass of both objects were doubled?

Sagot :

Gravitational force of attraction between two objects can be calculated from the following formula:
[tex] F = \frac{m_1 \cdot m_2}{r^{2}} [/tex]
Where m with subscript stands for mass of the object and r is the distance between them.
When we double the mass of those two objects, distance between them stays the same, while in the numerator we have:
[tex] 2\cdot m_1 \cdot 2 \cdot m_2 = 4\cdot m_1 \cdot m_2 [/tex]
When numerator in the second case 4 times greater than the 'original' numerator and denominator stays the same, force becomes 4 times greater.