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5 votes
A 5.00 kg mass feels a gravitational

force of 3.07 x 10-8 N from a 7.50
kg mass. How far are they apart?

2 Answers

0 votes

Answer:

0.285 m apart

Step-by-step explanation:

works in acellus!

User Gfytd
by
3.5k points
4 votes

Answer: Both masses are 0.285 m apart

Step-by-step explanation:

According to the law of Universal Gravitation:


F=G((m_(1))(m_(2)))/(d^2)

Where:


F=3.07(10)^(-8) N is the gravitational force between the masses


G=6.674x10^(-11)(m^(3))/(kgs^(2))is the gravitational constant


m_(1)=5 kg is the mass of the first object


m_(2)=7.5 kg is the mass of the second object


d is the distance between the objects

Isolating
d:


d=\sqrt{(Gm_(1)m_(2))/(F)}


d=\sqrt{((6.674x10^(-11)(m^(3))/(kgs^(2)))(5 kg)(7.5 kg))/(3.07(10)^(-8) N)}


d=0.285 m This is the distance between both objects

User Med Abida
by
3.9k points