Question

10. If the gravitational force between two objects of equal mass is found to be 4.60*10^-6 N when the objects are 15 meters apart, what is the mass of each object?

Answer 1

Step-by-step explanation:

F = G*m1 * m2 / r^2

G = 6.67408 × 10-11 m3 kg-1 s-2

r = 15 m

F = 4.60 * 10^-6 N

m1 = m2 = m

F = 6.67 * 10^-11 * m^2 / 15^2

4.60 * 10^-6 = 6.67 * 10^-11 * m^2 / 225 Multiply both sides by 225

4.60*10^-6 * 225 = 6.67*10^-11 * m^2

.001035 = 6.67408 × 10-11 * m^2 Divide by 6.67408 × 10-11

0.001035/ 6.67408 × 10-11 = m^2

m^2 = 15507755 Take the square root of both sides

m = sqrt(15507755 )

m = 3938 kg