Objects with masses of 135 kg and a435 kg are separated by 0.480 m. (a) Find the

Question

Objects with masses of 135 kg and a435 kg are separated by 0.480 m. (a) Find the net gravitational force exerted bythese objects on a 36.0 kg objectplaced midway between them.
1 N

(b) At what position (other than infinitely remote ones) can the36.0 kg object be placed so as toexperience a net force of zero?
2 m from the435 kg mass (a) Find the net gravitational force exerted bythese objects on a 36.0 kg objectplaced midway between them.
1 N

(b) At what position (other than infinitely remote ones) can the36.0 kg object be placed so as toexperience a net force of zero?
2 m from the435 kg mass

Explanation / Answer

distance from masses=0.240m Gravitational force=Gm/R2*(M1-M2)                            =6.67*10-11*36/0.242 *(435-135)                            =1.25x10-5 N towards the 435 kg mass..... If R is the unknown and F=0. R1=x, and R2=0.45-x We can solve: 0=GmM1/x2-GmM2/(0.45-x)2 (M1/M2)=x/0.45-x 1.8(0.45-x)=x 0.81 -1.8x=x 2.8x=0.81 x=0.289m from the 435kg mass i.e

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