10 kg block sliding on floor with friction: find KE, PE and speed after 2 m

[bradefeld]

Homework Statement

Initially, a 10 kg block is sliding along the floor at a speed of 5 m/x. The coefficient of friction between the block and the floor is 0.5.

What are the KE, PE and total energies of the block after sliding 2.0 m?
What is the block's speed after sliding 2.0 m?

I don't recall how to apply friction to velocity in order to do the KE equation.

Homework Equations

The Attempt at a Solution

 

[Yitzach]

$$f_k=\mu_kn$$
$$f_k$$ is the force of kinetic friction. This number will be very important to you proceeding.
$$\mu_k$$ is the coefficient of kinetic friction
n is the normal force

 

[bradefeld]

Yes, we found the friction force. Now how do we use that amount to figure out the energies and the final velocity?

 

[tiny-tim]

Welcome to PF!

$$f_k=\mu_kn$$
$$f_k$$ is the force of kinetic friction. This number will be very important to you proceeding.
$$\mu_k$$ is the coefficient of kinetic friction
n is the normal force

Yitzach, you must stop making these unhelpful comments in homework threads.

I don't recall how to apply friction to velocity in order to do the KE equation.

Hi bradefeld! Welcome to PF!

You'll need to use the work-energy theorem … work done = change in energy.

So … what is the work done after 2.0 m ?