Physics, asked by prani3, 1 year ago

What happens to the gravitational force between two objects when the distance between them is halved and doubled

Answers

Answered by yashwanthmanoj346
182

Correct Answer:

i) If the distance between the two objects is halved then the gravitation doubles, as gravition is inversly proportional to distance between two objects, so here it is doubled.

ii) If the distance between the two objects are doubled then the gravitational force dcreases because, here the distance between the two objects are increasjng, we also know that gravitation is inversely proportional to the distance between two objects.

Answered by hotelcalifornia
12

When distance between objects is halved, gravitational force becomes four times.

When distance between objects is doubled, gravitational force becomes one-fourth.

Explanation:

Gravitational force is given as:

  • F_{G} =G\frac{m_{1} m_{2} }{r^{2}  }

Where G is the gravitational constant, m_{1} is the mass of first object and m_{2} is the mass of second object and r is the distance between both the objects.

  • When r is halved, which means r=\frac{r}{2}, then force of gravitation becomes F_{G} =4G\frac{m_{1} m_{2} }{r^{2}  }. So, gravitational force becomes four times.
  • When is doubled, which means r=2r, then force of gravitation becomes F_{G} =G\frac{m_{1} m_{2} }{4r^{2}  }. So, gravitational force becomes one-fourth.
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