meters-how-much-work-does-the-actuator-do-as-the-crate-moves-from-x-1-m-to-x-3-m

Question

A robotic actuator pushes a crate along a track with force F(x)=(x2+2x)F(x) = $$(x^2 + 2x) N$$, where xx is in meters. How much work does the actuator do as the crate moves from x=1x = 1 m to x=3x=3 m?

Accepted Answer

503\displaystyle\frac{50}{3} J

Answer

1818  J

Answer

443\displaystyle\frac{44}{3} J

Answer

263\displaystyle\frac{26}{3} J

A robotic actuator pushes a crate along a track with force F(x)=(x2+2x)F(x) = (x^2 + 2x) N, where xx is in meters. How much work does the actuator do as the crate moves from x=1x = 1 m to x=3x=3 m?

A robotic actuator pushes a crate along a track with force $F (x) = (x^{2} + 2 x)$ N, where $x$ is in meters. How much work does the actuator do as the crate moves from $x equals 1$ m to $x equals 3$ m?