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Objects with masses of 245 kg and 545 kg are separated by 0.410 m.

(a) Find the net gravitational force exerted by these objects on a 59.0 kg object located 0.110 m from the object with a mass of 545 kg.

Answer :

Final answer:

To find the net gravitational force exerted on a 59.0 kg object by two other objects of known masses and distances. Newton's law of Universal Gravitation is applied, with each force calculation treated as a separate vector in the final sum.

Explanation:

The problem given is related to calculating the net gravitational force using Newton's law of Universal Gravitation. The gravitational force between two bodies can be given by the formula F = GMm/R², where G is the gravitational constant (6.67 x 10^-11 Nm²/kg²), M and m are the masses of the two objects and R is the distance between the centers of the two objects.

A three-body problem here involves two forces. The force exerted by the object with mass 545 kg on the 59 kg object can be calculated using the formula, and the force exerted by the 245 kg object on the 59 kg object can also be calculated similarly. The two calculated forces will be vector quantities and hence the net force will be a vector sum of the forces calculated.

Please note, additional skills in vectors may be needed to completely solve this problem.

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