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the force of attraction, F of a body varies directly as its mass m and inversely as the square of the distance d from the body. when m=8kg and d=5meters. the F=100 newtons. find F when m=2kg and d=15meters.

please help me with this! show step by step solution. thanks!​


Sagot :

Step-by-step explanation:      

EQUATION: F = km / d²

100 = k(8) / (5)²

100 = k 8 / 25

100 ÷ 8 / 25 = k 8 / 25 ÷ 8 / 25

625/2=k

  • F = (625 / 2)(2) / (15)²
  • F = 625 / 225

F = 25 / 9  

answer;F=25/9

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