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Q.

In the figure, a person wants to raise a block lying on the ground to a height h. In both the cases, if the time required is same, then in which case he has to exert more force? Assume pulleys and strings light.

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a

(i)

b

(ii)

c

Same in both

d

Cannot be determined

answer is A.

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Detailed Solution

Since, h=12at2,a should be same in both cases, because h and t are same in both cases as given.  In Fig. (a), F1−mg=ma⇒F1=mg+ma In Fig. (b), 2F2−mg=ma ⇒ F2=mg+ma2∴ F1>F2
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