Question

. If the mass of the one of the objects is doubled by 4 times then what will be the effect on the force

Answer 1

Given,

The mass of one of the objects is increased by 4 times.

To calculate,

The effect of force.

Answer :

We know that-

$\bold{F=\frac{Gm_1m_2}{r^2} }$

According to the given conditions,

$\bold{F'=\frac{Gm_1*(4m_2)}{r^2} }$

$\bold{\implies F'=\frac{4(Gm_1m_2)}{r^2} }$

$\huge\boxed{\bold{F'=4F}}$

So, on increasing the mass of an object by 4 times, the force increases by 4 times.

Answer 2

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QUESTION -

. If the mass of the one of the objects is doubled by 4 times then what will be the effect on the force ?

ANSWER :

According to Newton's Laws of motion -

F = m a

$=> F \propto m$

$Let \: F = k m$

$F _{1} = k m$

$F_{2} = 4k m$

$=> \dfrac{ F_{2} }{ F_{1} } = 4 \\ \\ => F_{2 } = 4 \times F_{1}$

Thus we can conclude that :

If the mass of the one of the objects is doubled by 4 times then the force will be quadrupled m