Advance Physics
posted by A51AN .
Three uniform spheres are located at the corners of an equilateral triangle. Each side of the triangle has a length of 1.48 m. Two of the spheres have a mass of 2.18 kg each. The third sphere (mass unknown) is released from rest. Considering only the gravitational forces that the spheres exert on each other, what is the magnitude of the initial acceleration of the third sphere?

Add the gravitational forces due to the two spheres at the oppostice corners. The resultant force will be in a direction between them (30 degrees from each).
Get the gravitational force between each pair using Newon's universal equation of gravity,
F = G M1 M2/R^2
The acceleration will be F/m, if the spheres are be themselves floating in space. If they are on a flat horizontal table, the sphere that is free to move will roll and the acceleration rate will be less than the freespace nonrolling case. You need to consider the moment of inertia.. 
9.8m/s
Respond to this Question
Similar Questions

Physics
Three uniform spheres are located at the corners of an equilateral triangle. Each side of the triangle has a length of 1.60 m. Two of the spheres have a mass of 2.20 kg each. The third sphere (mass unknown) is released from rest. Considering … 
physics
sorry i have about 5 questions on this homework packet that i just can't figure out.... hope you can help me A bowling ball (mass = 7.2 kg, radius = 0.12 m) and a billiard ball (mass = 0.41 kg, radius = 0.028 m) may each be treated … 
physics
Three uniform spheres are located at the corners of an equilateral triangle. Each side of the triangle has a length of 3.30 m. Two of the spheres have a mass of 3.10 kg each. The third sphere (mass unknown) is released from rest. Considering … 
physics
Three uniform spheres are located at the corners of an equilateral triangle. Each side of the triangle has a length of 3.10 m. Two of the spheres have a mass of 3.20 kg each. The third sphere (mass unknown) is released from rest. Considering … 
Physics
Three uniform spheres are located at the corners of an equilateral triangle. Each side of the triangle has a length of 3.10 m. Two of the spheres have a mass of 3.20 kg each. The third sphere (mass unknown) is released from rest. Considering … 
physics
Three identical conducting spheres are located at the vertices of an equilateral triangle ABC. Initially the charge the charge of the sphere at point A is q A =0 and the spheres at B and C carry the same charge q A =q B =q. It is known … 
physics
Three identical conducting spheres are located at the vertices of an equilateral triangle ABC. Initially the charge the charge of the sphere at point A is qA=0and the spheres at B and C carry the same charge qB=qC=q. It is known … 
Physics
Three uniform spheres are located at the corners of an equilateral triangle. Each side of the triangle has a length of 2.40 m. Two of the spheres have a mass of 3.40 kg each. The third sphere (mass unknown) is released from rest. Considering … 
Physics
Three uniform spheres are located at the corners of an equilateral triangle. Each side of the triangle has a length of 2.50 m. Two of the spheres have a mass of 4.40 kg each. The third sphere (mass unknown) is released from rest. Considering … 
Physic
Three uniform spheres of masses m1 = 3.50 kg, m2 = 4.00 kg, and m3 = 5.50 kg are placed at the corners of a right triangle (see figure below). Calculate the resultant gravitational force on the object of mass m2, assuming the spheres …