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A particle moves along the X-axis from x...

A particle moves along the X-axis from `x=0 to x=5m` under the influence of a force given by `F=(7-2x+3x^(2)).` Find the work done in the process.

A

70

B

270

C

35

D

135

Text Solution

Verified by Experts

The correct Answer is:
D
`W=int_(x1)^(x2)Fdx=int_(0)^(5)(7-2x+3x^2)dx`
`=|7x-x^2+x^3|_0^5`
`=7(5)-(5)^2(5)^3=35-25+125`
`=135J`
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CP SINGH-WORK, ENERGY AND POWER-EXERCISES
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