Calculating KE, PE & Total Energies: A 10kg Block & Friction

In summary, the conversation discusses a 10 kg block sliding along the floor at a speed of 5 m/s with a coefficient of friction of 0.5. The question asks for the KE, PE, and total energies of the block after sliding 2.0 m and its final speed. The suggested solution involves using the work-energy theorem and calculating the work done after 2.0 m.
  • #1
bradefeld
2
0

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

 
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  • #2
[tex]f_k=\mu_kn[/tex]
[tex]f_k[/tex] is the force of kinetic friction. This number will be very important to you proceeding.
[tex]\mu_k[/tex] is the coefficient of kinetic friction
n is the normal force
 
  • #3
Yes, we found the friction force. Now how do we use that amount to figure out the energies and the final velocity?
 
  • #4
Welcome to PF!

Yitzach said:
[tex]f_k=\mu_kn[/tex]
[tex]f_k[/tex] is the force of kinetic friction. This number will be very important to you proceeding.
[tex]\mu_k[/tex] is the coefficient of kinetic friction
n is the normal force

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

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

Hi bradefeld! Welcome to PF! :smile:

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

So … what is the work done after 2.0 m ? :wink:
 

1. How do I calculate the kinetic energy of a 10kg block?

To calculate the kinetic energy (KE) of a 10kg block, you need to know its mass and velocity. The formula for calculating KE is KE = 1/2 * mass * velocity^2. So for a 10kg block moving at a velocity of 5 m/s, the KE would be: KE = 1/2 * 10kg * (5m/s)^2 = 125 joules.

2. What is the formula for calculating potential energy?

The formula for calculating potential energy (PE) is PE = mass * gravity * height. In this scenario, the mass and height refer to the block and the gravity is the acceleration due to gravity, which is approximately 9.8 m/s^2 on Earth. So for a 10kg block sitting 2 meters above the ground, the PE would be: PE = 10kg * 9.8 m/s^2 * 2m = 196 joules.

3. How do I calculate the total energy of a 10kg block with both kinetic and potential energy?

The total energy (TE) of a 10kg block is simply the sum of its kinetic and potential energy. So if the block has a KE of 125 joules and a PE of 196 joules, the TE would be: TE = KE + PE = 125 joules + 196 joules = 321 joules.

4. How does friction affect the calculations of KE, PE, and total energy?

Friction can decrease the amount of kinetic energy and potential energy in a system, as some of the energy is converted into heat. To account for friction, you would need to use the formula: work = force * distance, to calculate the work done by friction. This work value can then be subtracted from the KE and PE calculations to get a more accurate value.

5. Can the total energy of a 10kg block ever be negative?

No, the total energy of a system cannot be negative. Energy is always conserved, meaning it cannot be created or destroyed, only transferred or converted. So even if the block loses some energy due to friction, the total energy will always be greater than or equal to 0.

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