Question

if the magnitude of the gravitational force between two particles of masses m and 2m if F that between two identical particles each of mass 2m and double the separation is?
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Answer 1

Answer:

gravitational force is constant in entire universe .

Explanation:

so, gravitational force between two identical mass of 2m will be F.

Answer 2

The new force remains the same.

Explanation:

Let mass of first particle is m and the mass of other particle is 2m and they are separated by r, then the gravitational force between them is given by :

$F=G\dfrac{m\times 2m}{r^2}$

If the masses of both particles and separation between them is doubled, then new force is given by :

$F'=G\dfrac{(2m)(4m)}{(2r)^2}\\\\F'=G\dfrac{m\times 2m}{r^2}\\\\F'=F$

So, the new force remains the same.

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