Question

#1) a) Find the force of gravity between two uniform spheres as they touch each other. Each sphere has a mass of m = 48 kg and a radius of r = 0.7 m. (Enter the magnitude in newtons.)

b) What is the force of gravity between them when they stand (surface to surface) 6 m from each other? (Enter the magnitude in newtons.)

#2) Two objects of masses m₁ = 740 kg and m₂ = 280 kg are placed d₁₂ = 0.55 m from each other. A third object of mass m₃ = 76.0 kg is placed between them.

a) Find the net gravitational force (in N) on m₃ by m₁ and m₂ when it is midway between them. (Enter the magnitude.)

b) Is there any position in which m₃ experiences zero net force from m₁ and m₂? (Give your answer as distance in metres between m₁ and m₃. If no such position exists, simply say NONE.

Answer 1