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 : JEE Main 2019 (Online) 8th April Morning Slot Physics - Work Power & Energy Question 98 English
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

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