3)A person with mass m1 = 80 kg stands at the left end of a uniform...

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Physics

3)A person with mass m1 = 80 kg stands at the left end of auniform beam with mass m2 = 100 kg and a length L = 4.0 m. Anotherperson with mass m3 = 110 kg stands on the far right end of thebeam and holds a medicine ball with mass m4 = 10 kg (assume thatthe medicine ball is at the far right end of the beam as well). Letthe origin of our coordinate system be the left end of the originalposition of the beam as shown in the drawing. Assume there is nofriction between the beam and floor.

A) What is the initial location of the center of mass of thesystem?

B) What is the initial velocity of the center of mass of thesystem?

C) The ball is thrown to the left end of the beam. Where is thecenter of mass now?

D) The two people now switch places on the beam. Where is thecenter of mass now?

E) Both people walk to the center of the beam. At whatx-position do they end up?

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