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Q.

An empty plastic box of mass m is found to accelerate up at a rate of g/6 when placed deep inside water. Then the mass of sand be filled in it so that it may accelerate down at a rate of g/6 is

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a

175m

b

25m

c

135m

d

45m

answer is A.

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Detailed Solution

In the first situation Vρg-mg=m×g6

After sand is poured in the box, volume is not changed hence for the second situation

(m+m1)g-Vρg=(m+m1)g6

Solving we get m1=2m5

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