Question

A particle moves in one dimension from rest under the influence of a force that varies with the distance traveled by that varies with the distance traveled by the particle as shown in the figure. The kinetic energy of the particle after it has traveled 3 m is:
(A) 2.5 J
(B) 4 J
(C) 5 J
(D) 6.5 J

Answer 1

Answer:

According to work energy theorem

Work done by force on the particle = Change in KE

Work done = Area of F−x graph

=∫F.dx

=2×2+2(2+3)×1

W=KEfinal−KEinitial=6.5

KEinitial=0

KEfinal=6.5 J.