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Q.

A solid sphere moves at a terminal velocity of 10 m/s in air at a place where g = 10 m/s2 . The sphere is taken in a gravity free hall having air at the same pressure and pushed down at a speed of 10 m/s.

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a

Its initial acceleration will be 10 m/s2 downward.

b

It will eventually stop.

c

Its initial acceleration will be 10 m/s2 upward

d

The magnitude of acceleration will decrease as time passes

answer is B, C, D.

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Detailed Solution

  Initially    mg = 6πηr×10

   In gravity free space, mg = 0, so unbalanced force acts in upward direction. Therefore

                      a = mgm =g m/s2

Because of upward acceleration, the downward speed decreases and sphere will stop momentarily.

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A solid sphere moves at a terminal velocity of 10 m/s in air at a place where g = 10 m/s2 . The sphere is taken in a gravity free hall having air at the same pressure and pushed down at a speed of 10 m/s.