| 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 3m is: |
 [JEE Main 8-4-2019 Morning] |
A) 6.5 J
B) 2.5 J
C) 4 J
D) 5 J
Correct Answer: A
Solution :
| [a] According to work energy theorem |
| Work done by force on the particle = Change in KE |
| Work done = Area under F-x graph\[=\int_{{}}^{{}}{F.dx}\] |
| \[2\times 2+\frac{(2+3)\times 1}{2}\] |
| \[W=K{{E}_{final}}-K{{E}_{initial}}=6.5\] |
| \[K{{E}_{initial}}=0\] |
| \[K{{E}_{final}}=6.5J\] |
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