Two objects, each with a mass of m=1kg are separated from each other by a distan

Question

Two objects, each with a mass of m=1kg are separated from each other by a distance of d1=1 m. They are rotating arounf a pivot half way between them at a speed of v=1 m/s. They are attracted to each other by a mutual force which pulls them together to a distance between them of dF= 0.5 m. There are no external torques. What is their kinetic energy after they come together?

A) 1/4 J

B) 1/2 J

C) 1 J

D) 2 J

E) 4 J

Please actually tell how you did the problem instead of just telling the correct answer choice.

Explanation / Answer

answer is (C) - 1 J

take the system consisting of both the particles ,

now they both are revolving so each particle has kinetic energy of 1/2 J so total energy of the system is 1 J

now both are experiencing the mutual force so work done by the force is zero and there is no external torques so i think that energy must remain conserve and when they come together aso energy shouls be 1/2 + 1/2 = 1 J

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