A particle moves in one dimension from rest under the influence of a force that varies with the distance travelled by the particle as shown in the figure. The kinetic energy of the particle after it has travelled 3 m is :

  • Option 1)

    6.5 J
     

  • Option 2)

    4 J

  • Option 3)

    2.5 J

     

  • Option 4)

    5 J

Answers (1)

Work Energy theorem

W=k_{f}-k_{i}

k_{i}=0

k_{f}=w

Now work is Area of F vs distance curve.

k_{f}=(2\times 2)+(\frac{1}{2}\times (2+3)\times 1)

k_{f}=6.5 J


Option 1)

6.5 J
 

Option 2)

4 J

Option 3)

2.5 J

 

Option 4)

5 J

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