Objects with masses of 175 kg and a 475 kg are separated by 0.370 m. (a) Find th

Question

Objects with masses of 175 kg and a 475 kg are separated by 0.370 m. (a) Find the net gravitational force exerted by these objects on a 66.0-kg object placed midway between them magnitude direction (b) At what position (other than infinitely remote ones) can the 66.0-kg object be placed so as to experience a net force of zero? m from the 475-kg mass A satellite of Mars, called phobos, has an orbital radius of 9.4 x 10^6 m and a period of 2.8 x 10^4 s. Assuming the orbit is circular, determine the mass of Mars. kg

Explanation / Answer

Gravitational force Fg = G m1 m2 / d^2

on 66 kg due to 475 kg plus due too 175 kg

F = [ (6.67 x 10^-11 x 66 x 475) / (0.370 /2)^2 ] - [ (6.67 x 10^-11 x 66 x 175) / (0.370 /2)^2 ]

F = 3.86 x 10^-5 N

direction towrads 475 kg object.

b) suppose at a distance d from 475 kg ,

Fnet = [ (6.67 x 10^-11 x 66 x 475) / (d)^2 ] - [ (6.67 x 10^-11 x 66 x 175) / (0.370 -d )^2 ] = 0

475/d^2 = 175 / (0.370 - d)^2

475d^2 - 351.5d + 65.03 = 175d^2

300d^2 - 351.5d + 65.03 = 0

d = 0.230 m

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