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Q.

A lift starting from rest with a constant upward acceleration moves 1.5 m in 004 s. If a person standing
in the lift holds a packet of 2 kg by a string, then the tension in the string due to motion is  

[UP CPMT 2013] 

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a

 57.1 N

b

67.1 N 

c

5.89 N

d

None of these

answer is B.

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Detailed Solution

Given, u = 0, s = 1.5 m, t = 0.4 s

From second equation of motion,   s=ut+12at2

  1.5=0+12a(0.4)2

  a=1.5×2(0.4)2=18.75 ms-2

As the string is moving upwards with this acceleration

T=m(g+a)=2(9.8+18.75)=57.1 N

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