JEE MAIN - Physics (2019 - 8th April Morning Slot - No. 8)
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 :
_8th_April_Morning_Slot_en_8_1.png)
_8th_April_Morning_Slot_en_8_1.png)
6.5 J
2.5 J
5 J
4 J
Explanation
According to work energy theorem.
Work done by force on the particle = Change in KE
Work done = Area under F-x graph = $$\int {F.dx} $$
= $$2 \times 2 + {{(2 + 3) \times 1} \over 2}$$
W = KEfinal – KEinitial = 6.5
KEinitial = 0
KEfinal = 6.5 J
Work done by force on the particle = Change in KE
Work done = Area under F-x graph = $$\int {F.dx} $$
= $$2 \times 2 + {{(2 + 3) \times 1} \over 2}$$
W = KEfinal – KEinitial = 6.5
KEinitial = 0
KEfinal = 6.5 J
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