contestada

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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Respuesta :

AestheticDevil

Answer:

  • F = G Newtons

Explanation:

Given:

  • Mass of 1st body = [tex]1\:kg[/tex]
  • Mass of 2nd body = [tex]4\:kg[/tex]

To Find:

  • Magnitude of gravitational force

Solution:

Here, we have a formula

  • [tex]F=\dfrac{G.M_{1}.M_{2}}{r^{2}}[/tex]

Substituting the values

[tex]\implies\:\:F = \dfrac{G(1)(4)}{2^{2}}[/tex]

[tex]\implies\:\:F = \dfrac{4G}{4}[/tex]

[tex]\implies\:\:F = \dfrac{\cancel{4}G}{\cancel{4}}[/tex]

[tex]\implies\:\:\red{F = G}[/tex]

Know More:

The applied formula for the above solution is

[tex]{\boxed{F_{G}=\dfrac{G.M_{1}.M_{2}}{r^{2}}}}[/tex]

where,

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

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