Answer:
Change in kinetic energy is ( 26CL³)/3
Explanation:
Given :
Net force applied, F(x) = Cx² ....(1)
Displacement of the particle from xi = L to xf = 3L.
The work-energy theorem states that change in kinetic energy of the particle is equal to the net amount of work is done to displace the particle.
That is,
ΔK = W = ∫F·dx
Substitute equation (1) in the above equation.
ΔK = ∫Cx²dx
The limit of integration from xi = L to xf = 3L, so
[tex]\Delta K=\frac{C}{3}(x_{f} ^{3} - x_{i} ^{3})[/tex]
Substitute the values of xi and xf in the above equation.
[tex]\Delta K=\frac{C}{3}((3L) ^{3} - L ^{3})[/tex]
[tex]\Delta K=\frac{C}{3}\times26L^{3}[/tex]
