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Q.

A rope of length 8 m and linear density 0.5 kg/m is lying lengthwise on a horizontal smooth floor. It is pulled by a force of 12 N. The tension at the mid-point would be:

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a

12 N

b

8 N

c

6 N

d

4 N

answer is C.

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Detailed Solution

Mass of the rope =8×0.5=4kgAcceleration =Fm=12d=3ms−2Mass upto 4 m or mid-point = 2 kgForce used to pull 2kg=2×3=6NSo, tension at the mid-point = 6 N.
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