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

Answer:

• F = G Newtons

Explanation:

Given:

• Mass of 1st body = $1\:kg$
• Mass of 2nd body = $4\:kg$

To Find:

• Magnitude of gravitational force

Solution:

Here, we have a formula

• $F=\dfrac{G.M_{1}.M_{2}}{r^{2}}$

Substituting the values

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

$\implies\:\:F = \dfrac{4G}{4}$

$\implies\:\:F = \dfrac{\cancel{4}G}{\cancel{4}}$

$\implies\:\:\red{F = G}$

Know More:

The applied formula for the above solution is

${\boxed{F_{G}=\dfrac{G.M_{1}.M_{2}}{r^{2}}}}$

where,

• F$_{G}$ = Gravitational force
• G = Gravitational constant
• M$_{1}$ = mass of 1st body
• M$_{2}$ = mass of 2nd body
• r = distance between two bodies