Suppose that you are traveling with the mass whose orbit is not being tracked. a

Question

Suppose that you are traveling with the mass whose orbit is not being tracked.

a.) From this frame of reference, what would be the magnitude and direction of the initial velocity of the other mass? What is the value of the initial relative velocity of the two masses (m1= 0.3 and m2= 0.2 kg)? Note that initial velocities on circulare orbits are calculated as v_x= 0, v_y1=3.5m/s, v_y2= 5.2m/s, radius1 and radius2 both equal to 0.1 and separation of masses from each other (r) = 1m.

b.) When you change this problem to a one-body problem, what is the reduced mass? Does the period T still the same if the initial separation of the masses (r) and the charge magnitude (q) are the same but the initial velocities are replaced with the relative velocity computed above?

c.) In what sense are the original two body-problem and the equivalend one-body problem equivalent to each other?

Explanation / Answer

yes period t still the same if the initial relative velocity & sepration of masses and the charge magnitude are same

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