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Question: A particle moves along the x-axis from x = 0 to x = 5m under the influence of a force given by F = 7...

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

A

70

B

270

C

35

D

135

Answer

135

Explanation

Solution

W = =05(72x+3x2)dx\int _ { 0 } ^ { 5 } \left( 7 - 2 x + 3 x ^ { 2 } \right) d x

= = 35 – 25 + 125 = 135 J