Question

A particle moves along the x-axis from $x=0$ to $x=5m$ under the influence of a force given by $F=10-2x+3x^2$. Work done in the process is:-

• A. $70\text{units}$
• B. $270\text{units}$
• C. $35\text{units}$
• D. $150\text{units}$

Answer 1

The correct option is D $150\text{units}$

Given :

$F=10-2X+3x^2$

$x_1=0$, $x_2=5$

Solution:

Work done=${\int }_{x_1}^{x_2}F.dx$

Work done=${\int }_{x_1}^{x_2}10-2x+3x^2.dx$

Work done=${(10x-x^2+x^3)}_0^5$ $\Rightarrow$ Work done =50-25+125= 150 units

The correct Opt=D