Objects with masses of 150 kg and a450 kg are separated by 0.470 m. (a) Find the

Question

Objects with masses of 150 kg and a450 kg are separated by 0.470 m. (a) Find the net gravitational force exerted bythese objects on a 40.0 kg object placedmidway between them.
1 N

(b) At what position (other than infinitely remote ones) can the40.0 kg object be placed so as toexperience a net force of zero?
2 m from the 450 kgmass (a) Find the net gravitational force exerted bythese objects on a 40.0 kg object placedmidway between them.
1 N

(b) At what position (other than infinitely remote ones) can the40.0 kg object be placed so as toexperience a net force of zero?
2 m from the 450 kgmass

Explanation / Answer

(a) Find the net gravitational force exerted bythese objects on a 40.0 kg object placedmidway between them.
1 N
F=6.67e-11*40/0.235*0.235[150+450]=2.89e-5N

(b) At what position (other than infinitely remote ones) can the40.0 kg object be placed so as toexperience a net force of zero?
2 m from the 450 kgmass
let it be at a distance x from 450 kg mass
at that position
6.67e-11*450*40/x*x=6.67e-11*150*40/(0.47-x)*(0.47-x)
solving x=0.2979m

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