A 18 kg sphere is at the origin and a 9.0 kg sphere is at (x,y)=(...

Question

Question

A 18 kg sphere is at the origin and a 9.0 kg sphere is at (x,y)=( 20 cm , 0 cm).

At what point or points could you place a small mass such that the net gravitational force on it due to the spheres is zero.

science physics

Answer 1

Answer #1

F1 F2 m1 18 kg m2 = 9 kg 0.20-d dl 0.20 m

let the small mass "m" is placed at point B in between sphere m₁ = 18 kg and sphere m₂ = 9 kg

F₁ = force by sphere m₁ on mass "m" = G m₁ m /AB² = G m₁ m /d²

F₂ = force by sphere m₂ on mass "m" = G m₂ m /BC² = G m₂ m /(0.20 - d)²

for net gravitational force to be zero

F₁ = F₂

G m₁ m /d² = G m₂ m /(0.20 - d)²

m₁ /d² = m₂ /(0.20 - d)²

18/d² = 9/(0.20 - d)²

d = 0.117

d = 11.7 cm

Answer 2

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