A single conservative force acts on a 5.00-kg particle. The equation N, where x is in meters, describes this force. As the particle moves along the x axis from m to m, calculate (a) the work done by this force, (b) the change in the potential energy of the system, and (c) the kinetic energy of the particle at m if its speed at m is 3.00 m/s.

a)

b)

c)

Explanation:

a) The work is defined as the integral of the force from x₁ to x₂:

Here:

Now. we need to take the integral to get the work done:

b) The change of the potential energy is minus de work, so:

c) We know that the change in kinetic energy is equal to the work done, in a conservative system, so:

And know that:

We need to find the final kinetic energy, so let's solve it for Kf

I hope it helps you!

here are some information of the future of geothermal energy:

-the future of geothermal energy can pretty much be summed up with a single word: more

-scientists plan in going deeper than 120 meters

-we are hoping that one day, we will get all of our energy from renewable energy sources such as geothermal energy

hope this !