Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

1- Two spherical masses separated by a distance of 10.0 meters from center to ce

ID: 1325116 • Letter: 1

Question

1-

Two spherical masses separated by a distance of 10.0 meters from center to center, experience a gravitational force of 80 ?N. What would be the force between them (in micronewtons) if the distance is cut in half to 5.00 meters?


2-

Two spherical masses separated by a distance of 10.0 meters from center to center, experience a gravitational force of 40 ?N. What would be the force between them (in micronewtons) if the distance is doubled to 20.0 meters?


3-

What is the magnitude of the gravitational force between two 4,000-kg bodies that are 7 m apart?


4-What is the magnitude of the gravitational force between two 8,500-kg bodies that are 6 m apart?

Explanation / Answer

F = G*m1*m2/d^2

1)

for half distance ,

force is 4 time the old force

Fnew = 4 * 80 uN

Fnew = 320 uN

the new force is 320 uN

2)

for double distance , force is 1/4

Fnew = 40/4

Fnew =10 uN

the new force is 10 uN


3)

Force = G*4000^2/7^2

Force = 22.05 uN

the force between masses is 22.05 uN

4)

Force = G * 8500^2 /(6^2)

Force = 135.5 uN

the force between the masses is 135.5 uN