A particle moves along the x- axis from x=0 to x=5 m under the influence of a force given by F=7−2x+3x2.Work done in the process is

70

270

35

135

A

35

B

270

C

135

D

70

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Solution

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w=∫Fdx

=∫507−2x+3x2dx

=[7x−2x22+3x23]50

=[7x−x2+x3]50

=[7×5−52+53]−[0−0+0]

=[35−25+125]−0

=135J

In this question, answer is 135 J not 70J

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