Question 143: Work, Energy and Power & Circular Motion

Question

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 :
![](https://imagex.cdn.examgoal.net/cSxcAbiByUZSlMa77/TBdNHlKVwvJVPD0gDK58eSCBuOy7B/pZ6SxY7MmXjPR4xQMSnkth/image.png)

Accepted Answer

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} $
= $2 	imes 2 + {{(2 + 3) 	imes 1} \over 2}$
W = KE
final
Ã¢ÂÂ KE
initial
= 6.5
KE
initial
= 0
KE
final
= 6.5 J

Answer

6.5 J

Answer

2.5 J

Answer

5 J

Answer

4 J

Work, Energy and Power & Circular Motion

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 :

Choose the correct answer: