Three identical point masses each of mass 1 kg

Asked by admin @ 16/08/2021 in Physics viewed by 389 People

Three identical point masses each of mass 1 kg are placed along x-axis at x = 0 , 1m and 2m respectively the magnitude of gravitational force on the mass at origin (x = 0) is ?

1) 3G2) 5G3) 5/4 G4) 3/4 GThanks!

Answered by admin @ 16/08/2021

Answer:

Given:

3 particles each of 1kg has been placed along the x - axis at 3 points.

Coordinates of the particles:

1. x = 0 m

2. x = 1 m

3. x = 2 m

To find:

Net gravitational force on the particle at x = 0

Diagram:

Please refer to the attached photo to understand better.

Formulas used:

Gravitational force F = (G×M1×M2)/d²

Calculation:

Net force on particle (at x = 0)

= Force by particle (at x= 1) + force by particle (at x=2)

= (G×1×1)/1² + (G×1×1)/2²

= G + G/4

= 5G/4 Newton.

So the correct option is 3) 5G/4.

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