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JIPMER 2007
Exam
JIPMER
Year
2007
Subject
Physics
Chapter
Work, Power and Energy

JIPMER 2007 · Physics · Work, Power and Energy

A force F acting on an object varies with distance x as shown here....

A force FF acting on an object varies with distance xx as shown here. The force is in newton and distance is in metre. The work done by the force in moving the object from x=0x=0 to x=6 mx=6 \mathrm{~m} is A force F acting on an object varies with distance x as shown here. The force is in newton and distance is in metre.

Options

  1. A4.5 J
  2. B13.5 J
  3. C9.0 J
  4. D18.0 J

Correct answer

B. 13.5 J

Step-by-step solution

The work done will be the area of the FF-x graph. Work done in moving the object from x=0tox=6 mx=0 to x=6 \mathrm{~m} is given by W=W= area of rectangle + area of triangle =3×3+12×3×3=9+4.5=13.5 J\begin{aligned} & =3 \times 3+\frac{1}{2} \times 3 \times 3 \\ & =9+4.5=13.5 \mathrm{~J}\end{aligned}
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