Four stars with equal masses m = 1.99 1030 kg are located at the corners of a sq

Question

Four stars with equal masses m = 1.99 1030 kg are located at the corners of a square, each side of which is l = 4.24 x10^16 ? m. The configuration and coordinate system is shown in the figure. (a) What is the direction (degrees from the x direction) of the net force on the star at the origin? (b) What is the magnitude of the net force (N) on the star at the origin?

Four stars with equal masses m = 1.99 ½ 1030 kg are located at the corners of a square, each side of which is l = 4.24 x10^16 ? m. The configuration and coordinate system is shown in the figure. (a) What is the direction (degrees from the x direction) of the net force on the star at the origin? (b) What is the magnitude of the net force (N) on the star at the origin?

Explanation / Answer

a_) 45 degree above x axis
b) (2 + 0.5)Gm^2/R^2

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