Verified Solution • 2025–26 Session moderate

QJEEM19Phc11b: JEE Main 2019 Physics - Class 11 JEEM19Phc11b Solution: A particle moves in one dimension from rest under the influence …

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

Multiple Choice Options

  • A 6.5 J
  • B 2.5 J
  • C 5 J
  • D 4 J

Step-by-Step Verified Solution

According to work energy theorem.

Work done by force on the particle = Change in KE

Work done = Area under F-x graph = ∫F.dx\int {F.dx}

= 2×2+(2+3)×122 \times 2 + {{(2 + 3) \times 1} \over 2}

W = KEfinal – KEinitial = 6.5

KEinitial = 0

KEfinal = 6.5 J

Related Learning Resources & Exam Preparation