Laws Of Motion Question 260

Question: A body of mass 8kg is moved by a force F=3xN, where x is the distance covered. Initial position is x=2m and the final position is x=10 m. The initial speed is 0.0m/s. The final speed is[Orissa JEE 2002]

Options:

A) 6 m/s

B) 12 m/s

C) 18 m/s

D) 14 m/s

Show Answer

Answer:

Correct Answer: A

Solution:

Increment in kinetic energy = work done therefore

12m(v2u2)=x1x2F.dx=210(3x) dx

therefore 12mv2=32[x2]210=32[1004]

therefore 12×8×v2=32×96

therefore v=6m/s



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