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Two balls of mass 0.6 kg and 0.8 kg are connected by a low-mass spring. This device is thrown through the air with low speed, so air resistance is negligible. The motion is complicated: the balls whirl around each other, and at the same time the system vibrates, with continually changing stretch of the spring. At a particular instant, the 0.6 kg ball has a velocity ‹ 5, ?6, 2 › m/s and the 0.8 kg ball has a velocity ‹ 4, 3, 5 › m/s.

(a) At this instant, what is the total momentum of the device?

(b) What is the net gravitational (vector) force exerted by the Earth on the device?

(c) At a time 0.05 seconds later, what is the total momentum of the device?

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