For this problem, ignore the Earth and all other solar system bodies. The figure

Question

For this problem, ignore the Earth and all other solar system bodies. The figure below is in empty space. Two uniform spheres of masses m_2 = 3.00 kg. m_3 = 5.00 kg are placed at the corners of a rectangle of side L_1 = 4.00 m and L_2 = 2.00 m. (a) Place a mass m_1 = 6.00 kg at a distance of 1.00 m from the bottom RIGHT end as shown in the Figure. Draw a vector diagram showing all gravitational forces on mA due to the other masses. (b) Calculate the magnitude of the resultant gravitational force on m_1. Give your answer in terms of G. (c) Calculate the direction (angle in degrees), of the resultant force on m, with respect to a horizontal x-axis.

Explanation / Answer

F21 = G*m1m2/r^2 = 6.673x10^-11*3*6/5^2 = 4.80 x 10^-11 N j (+x direction)

F31 = G*m2m3/r^2 = 6.673x10^-11*5*6/3^2 = 22.23 x 10^-11 N (-i) (+y direction)

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