Question

A particle moves along the X-axis x=0 to x=5 m under the influence of a force given by `F=10-2x+3x^(2)`. Work done in the process is
A. 70 units
B. 270 units
C. 35 units
D. 150 units

Answer 1

Correct Answer - D
(d) `W=int_(x^(1))^(x^(2))Fdx=int_(0)^(5)F.dx=int_(0)^(5)(10-2x+3x^(2))dx`
`=[10x-x^(2)+x^(3)]_(0)^(5)=150` units