求解英文数学题

Thegravitationalforcebetweenamassof4,000,000kg.andamassof7,500,000kg.placed100metersa... The gravitational force between a mass of 4,000,000 kg. and a mass of 7,500,000 kg. placed 100 meters
apart is 0.2 Newtons.
What will be the gravitational force between those same two masses placed just 10 meters apart?
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cupotee45
2010-11-17 · 超过19用户采纳过TA的回答
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Since gravitational force = (gravitational constant * product of the masses)/distance between the two objects ^2

where the gravitational constant = 6.67*10^-11, represented by the constant G

To measure gravitational force, just plug the numbers in.

F= [(6.67*10^-11)(4,000,000)(7,500,000)]/100^2 = 20.01N
---
The easy way, if you know your gravitational force formula, is to realize that the distance was reduced by 10. Since the square of the distance is inversely proportional to the gforce, you could've just squared 10 and multiplied it into your .2N answer :)
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