Physics
posted by James .
Three masses that are 10 kg each are located at the corners of an equilateral triangle, with side length of 0.55m. What is the magnitude of the total force acting on one mass due to the other two masses?
The answer is supposed to be 3.82e08 N. Any help is appreciated. I'm not sure where to even start this question.

Physics 
Elena
Let the mass m3 be in the origin of the coordinate system, m2 be on xaxis (separated by 0.55 m from origin), and m1 is above xaxis. m1=m2=m3=m=10 kg, a=0.55 m.
The gravitational constant is
G =6.67•10^11 N•m²/kg²,
F2 =F2x=G•m2•m3/a²,
F1x = (G•m1•m3/a²)•cos60º,
F1y=(G•m1•m3/a²)•sin60º,
F(net)x= F2x+F1x= G•m2•m3/a² +(G•m1•m3/a²)•cos60º=1.5•G•m2•m3/a²,
F(net)y = F1y=(G•m1•m3/a²)•sin60º= 0.866• G•m2•m3/a²,
F(net) =sqrt[(F(net)x)²+( F(net)y)²] = G•m²/a² •sqrt(1.5²+0.866²)=
=1.73•6.67•10^11•100/0.55²=3.82•10^8 N.
Respond to this Question
Similar Questions

physics
four 9.5kg spheres are located at the corners of a square of side 0.60m. calculate the magnitude and direction of the total gravitational force exerted on one sphere by the other three Let s be the side length, so the diagnoal length … 
Physics
Four identical masses of 800kg each are placed at the corners of a square whose side length is 10.0cm. What is the net gravitational force (magnitude and direction) on one of the masses, due to the other three? 
Physics: Three Identical Masses
Three identical masses of 640 each are placed on the x axis. One mass is at = 100 , one is at the origin, and one is at = 400 . What is the magnitude of the net gravitational force on the mass at the origin due to the other two masses? 
physics
Three charged particles are placed at the corners of an equilateral triangle of side d = 1.40 m (Fig. 1653). The charges are Q1 = +4.0 µC, Q2 = 7.0 µC, and Q3 = 6.0 µC. Calculate the magnitude and direction of the net force on … 
Physics
Four identical masses of mass 900 kg each are placed at the corners of a square whose side lengths are 15.0 cm. What is the magnitude of the net gravitational force on one of the masses, due to the other three? 
physics
two equal masses of 5kg are placed on two vertex of an an equilateral triangle and 20 kg mass on the third.each side is 20 cm long. find the force acting on 1 kg mass kept at the centroid of the triangle. 
science[physics]
three masses 3kg,4kg,5kg are located at corners of an equilateral triangle of side 1m.locate the centre of mass of the system 
physics
Four identical masses of mass 800kg each are placed at the corners of a square whose side lengths are 15.0cm . What is the magnitude of the net gravitational force on one of the masses, due to the other three? 
physics
Three equal positive point charges q are at the corners of an equilateral triangle with sides of length a. What is the magnitude and direction of the electric field at one corner of the triangle due to two charges placed on another … 
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 …