SOLUTION: Newton's law of gravitation states that every body in the universe attracts every other body with a force F that varies directly as the product of their masses (m1 and m2) and inve
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Question 1182904: Newton's law of gravitation states that every body in the universe attracts every other body with a force F that varies directly as the product of their masses (m1 and m2) and inversely as the square of the distance d between them. If both masses are increased by 60% and the distance between them is halved, by what percent will the force of attraction increase? Round your answer to nearest integer Found 3 solutions by ankor@dixie-net.com, greenestamps, robertb:Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Newton's law of gravitation states that every body in the universe attracts every other body with a force F that varies directly as the product of their masses (m1 and m2) and inversely as the square of the distance d between them.
F =
If both masses are increased by 60% and the distance between them is halved, by what percent will the force of attraction increase? Round your answer to nearest integer
Let's assume original masses were 1 and the distance was 1 (F=1) then we can write it:
F =
F =
F = 10.24
which is
10.24*100 = 1024%
Increasing the mass of each body by 60% multiplies the masses by a factor of 1.6.
Halving the distance between the bodies multiplies the distance by 1/2.
The force varies jointly as the two masses and inversely as the square of the distance. So increasing the mass of each body by 60% and halving the distance changes the gravitational force by a factor of
Multiplying the force by a factor of 10.24 means the force is increased by 924%.
