Objects with masses of 231 kg and 472 kg are separated by0.417 m. A 40.6 kg mass

Question

Objects with masses of 231 kg and 472 kg are separated by0.417 m. A 40.6 kg mass is placed midway between them. 1. Find the magnitude of the net gravitational force exertedby the two larger masses on the 40.6 kg mass. The value ofthe universal gravitational constant is 6.672 x 10-11 Nm2/kg2. Answer in units of N. 2. Leaving the distance between the 231 kg and the 472 kgmasses fixed, at what distance from the 472 kg mass (other thaninfinitely remote ones) does the 40.6 kg mass experience a netforce of zero? Answer in units of m. Objects with masses of 231 kg and 472 kg are separated by0.417 m. A 40.6 kg mass is placed midway between them. 1. Find the magnitude of the net gravitational force exertedby the two larger masses on the 40.6 kg mass. The value ofthe universal gravitational constant is 6.672 x 10-11 Nm2/kg2. Answer in units of N. 2. Leaving the distance between the 231 kg and the 472 kgmasses fixed, at what distance from the 472 kg mass (other thaninfinitely remote ones) does the 40.6 kg mass experience a netforce of zero? Answer in units of m.

Explanation / Answer

let m1 and m2 be the two masses and M be the mass placedbetween them the gravitational force due to the two bodies    F =F1 - F2 , since the force is opposite indirection to each other.       =G (Mm1-Mm2)/(R/2)^2. plugging the knwon values we can sovle for net force F. let r be the distance from 472kg where the mass Mexperiences a net force F = 0          then F1 =F2         G (Mm1)/(R-r)^2 =GMm2/r^2.                 m1 * r^2 = m2 * (R-r)^2 from the above relation we can sovle for r .

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