Question

Asked Jun 11, 2019

Two manned satellites approaching one another at a relative speed of 0.300 m/s intend to dock. The first has a mass of 4.00 ✕ 10^{3} kg, and the second a mass of 7.50 ✕ 10^{3} kg. Assume that the positive direction is directed from the second satellite towards the first satellite.

(a) Calculate the final velocity after docking, in the frame of reference in which the first satellite was originally at rest.

..............m/s

Step 1

Given,

Step 2

In the frame of the first satellite, if we assume the direction of the approaching velocity of second satellite as positive.

Then, the velocity of both satellites are,

Step 3

After docking both satellite attains equal velocity v.

Applying the conservation of momentu...

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