Question

NEED HELP ASAP
1. The gravitational force between two objects (mass1 = 10 kg, mass2 = 6 kg) is measured when the objects are 12 centimeters apart. If the distance between them is increased to 36 centimeters, how does the new gravitational attraction compare to the first one that was measured?

A.The new gravitational force is 3 times smaller than the old one.

B. The new gravitational force is 3 times larger than the old one.

C. The new gravitational force is 6 times smaller than the old one.

D. The new gravitational force is 6 times larger than the old one.

E. The new gravitational force is 9 times smaller than the old one.

2. The gravitational force between two objects (mass1 = 5 kg, mass2 = 2 kg) is measured when the objects are 10 centimeters apart. If the 5 kg mass is replaced with a 20 kg mass and the 2 kg mass is replaced with a 12 kg mass, how does the new gravitational attraction compare to the first one that was measured?

A. The new gravitational force is 6 times smaller than the old one.

B. The new gravitational force is 6 times larger than the old one.

C. The new gravitational force is 10 times larger than the old one.

D. The new gravitational force is 24 times larger than the old one.

E. The new gravitational force is 24 times smaller than the old one.

Answer 1

The equation for gravity is given by:

$F_G = \frac{G m_1 m_2}{r^2}$

1. If r goes up by a factor of 3, gravity goes down by a factor of 9.
2. If m₁*m₂ goes up by a factor of 24, gravity goes up by a factor of 24.