Objects with masses of 240 kg and a 540 kg are separated by 0.380 m (a) Find the

Question

Objects with masses of 240 kg and a 540 kg are separated by 0.380 m (a) Find the net gravitational force exerted by these objects on a 46.0-kg object placed midway between them. magnitude The correct answer is not zero. N direction toward the 540-kg mass (b) At what position (other than infinitely remote ones) can the 46.0-kg object be placed so as to experience a net force of zero? 124 Your response differs from the correct answer by more than 10%. Double check your calculations. m from the 540-kg mass 20 Need Help? ReadtWaich t Watch It

Explanation / Answer

a) Net force = F1 - F2

= Gm/r^2 ( m1 - m2)

= 6.67*10^-11*46*(540-240) / 0.19^2

= 2.5*10^-5 N away from 540 kg

b) let the distance be x form 240 kg

Gm*240 / x^2 = Gm*540/(0.38-x)^2

(x^2 - 0.69x + 0.1444) 12 = 27x^2

15x^2 + 8.28x - 1.7328 = 0

x = - 8.28 + sqrt(8.28^2+4*15*1.7328) / 30

= 0.16

the mass will experince zero net force at a distance of (0.38 - 0.16) = 0.22 m from 540 kg

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