A20 kg sphere is at the origin and a 10 kg sphere is at x = 20 cm. at what position on the x-axis could you place a small mass such that the net gravitational force on it due to the spheres is zero?

Step-by-step explanation:

Let the small mass be m and position on x axis be y.

A 20 kg sphere is at the origin.

Distance to 20 kg mass = y

A 10 kg sphere is at x = 20 cm

Distance to 10 kg sphere = 20 - y

We have forces between them are equal

We have gravitational force   

          Where G =  6.67 x 10⁻¹¹ N m²/kg²

                      M = Mass of body 1

                      M = Mass of body 2

                      r = Distance between them

Here we have

So the small mass should be placed at x = 11.72 cm or x = 68.28 cm

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