document.write( "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 \n" ); document.write( "

Algebra.Com's Answer #813027 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "Increasing the mass of each body by 60% multiplies the masses by a factor of 1.6.

\n" ); document.write( "Halving the distance between the bodies multiplies the distance by 1/2.

\n" ); document.write( "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

\n" ); document.write( " $\"%28%281.6%29%281.6%29%29%2F%28.5%29%5E2+=+10.24\"$

\n" ); document.write( "Multiplying the force by a factor of 10.24 means the force is increased by 924%.

\n" ); document.write( "ANSWER: 924%

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