Answer:
The value of 'c' is 4.
Explanation:
We know from the basic relation between work and force is
[tex]W_{2}-W_{1}=\int_{x_{1}}^{x_{2}}F\cdot dx[/tex]
Now since the energy of the particle changes from 20 Joules to 11 Joules as position changes from x=0 to x=3.00 thus applying the given vales in above relation we get
[tex]11-20=\int_{0}^{3}(cx-3x^{2})\cdot dx\\\\-9=[\frac{cx^2}{2}]_0^3-[\frac{3x^3}{3}]_0^3\\\\-9=\frac{9c}{2}-27\\\\4.5c=18\\\\\therefore c=4[/tex]
