Answered

The gravitational attraction between two masses varies inversely as the square of the distance between them. If the attraction force between them is 75 lbs. when the bodies are eight feet apart, find the attraction when the masses are twelve feet apart.

Answer :

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.

Below is the solution:

 Fr² = K 
75*64 = F(144) 
F = 75*64/144 = 33.3 lbs. 

pv = K 
16*24 = 30v 
v = 16*24/30 = 12.8 

va = K 
3000*2 = 6v 
v = 3000*2/6 = 1000 



Answer:

33.33 lbs

Explanation:

F1 =75 lbs, r1 = 8 ft

F2 = ? , r2 = 12 ft

The gravitational force of attraction is inversely proportional to the square of distance between the two bodies.

So, F2 / F1 = r1^2 / r2^2

F2 / 75 = 64 / 144

F2 = 33.33 lbs

Other Questions