Question

If two point masses 1kg & 4kg are seperated by a distance of 2m. Magnitude of gravitational force exerted by 1kg on 4kg is ?

(A).. G/4
(B).. G
(C).. G/2
(D).. G/3

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Answer 1

Given

• $\sf\red{Mass\: of \:1st \:body}$ = 1kg
• $\sf\green{Mass\: of \:2nd \:body}$ = 4kg

To Find

• Magnitude of gravitational force exerted by $\bf\blue{1 kg}$ and $\bf\orange{4 kg}$

Solution

Formula to be applied

${\boxed{\sf{\purple{F_G=\dfrac{G.M_1.M_2}{r^2}}}}}$

Where,

• $\sf\red{F _G}$ = Gravitational force
• $\sf\green{G}$ = (Gravitational constant) $\sf{6.67 \times 10^{-11}}$
• $\sf\orange{M_{1}}$ = mass of 1st object
• $\sf\blue{M_{2}}$ = mass of 2nd object
• $\sf\purple{R}$ = Distance between 2 objects

Substituting the values

$\to\:$ F = $\sf \dfrac{GM_1M_2}{r^2}$

$\to\:$ F = $\sf\dfrac{G(1)(4)}{(2)^2}$

$\to\:$ F = $\sf\dfrac{4G}{4}$

$\to\:$ F = $\bf\pink{G}$

Hence,

Magnitude of gravitational force exerted by $\bf\red{1 kg}$ and $\bf\green{4 kg}$ is  $\bf\pink{G \:Newtons}$.