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## Homework Statement

The only force acting on a 2.4 kg body as it moves along the positive x axis has an x component Fx = - 6x N, where x is in meters. The velocity of the body at x = 3.0 m is 8.0 m/s.

- What is the velocity of the body at x = 4.0 m?

## Homework Equations

W = [tex]\Delta[/tex]0.5*m*v^2

that is for kinetic

W = [tex]\Delta[/tex]0.5kx^2

## The Attempt at a Solution

I set the two equations equal to each other since no outside force is acting:

[tex]\Delta[/tex]0.5*m*v^2 = -[tex]\Delta[/tex]0.5kx^2 . . .

so . . . .

.5(2.4)(v^2) - .5(2.4)(8^2) = - .5(6)(3^2) - .5(6)(4^2)

is that right for the spring constant or is k = 6*x . . . .?