Potential Energy and maximum velocity

In summary: KE is the kinetic energy and H is the original potential energy.In summary, the mass of 0.40 kg slides down an incline with a maximum velocity of 1.00 m/s, and the question asks for the kinetic energy at that time and the percentage of potential energy lost due to friction. The kinetic energy is 0.2 Joules, and to solve for the percentage, you need to divide the kinetic energy by the original potential energy and multiply by 100%. The height of the incline is 7 cm and the hypotenuse is 40 cm, which can be used to find the potential energy.
  • #1
JSapit
34
0

Homework Statement



The mass 0.40 kg is released and slides down the incline. The maximum velocity ( taken the instant before the mass reaches the bottom of the incline ) is 1.00 m/s. What is the kinetic energy at that time? What percentage of the potential energy of the system is not converted into kinetic energy due to friction? (converted into heat instead)

My question is with part b, and the percentage of potential energy lost due to friction.

Homework Equations



U=mgh
k=(1/2)mv^2

The Attempt at a Solution



The answer to question a, which is the amount of Kinetic Energy was 0.2 Joules.

However, I had no idea how to start part b.

Any help is appreciated, thanks!
 
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  • #2
Bumperooski. I tried dividing the amount of PE by KE, and vice versa, but that didn't work. Still lost :/
 
  • #3
Is that all the info given?
Do they give any more info about the incline?
 
  • #4
the hypotenuse of the triangle is 40 cm with the vertical portion at 7 cm.
 
  • #5
I assume funky is working the same problem then?
Well, if you know the height, you can find the potential energy. And you know the final velocity, so you know the kinetic energy.
Now if all your potential energy didn't get converted to kinetic where did it go?
If you are having problems with just the percent part, the equation is KE/H * 100%
 

Related to Potential Energy and maximum velocity

1. What is potential energy?

Potential energy is the energy that an object possesses due to its position or state. It is stored energy that has the potential to do work. It is often associated with the force of gravity, where an object's potential energy increases as it is lifted higher above the ground.

2. How is potential energy calculated?

Potential energy is calculated using the formula PE = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height of the object above a reference point. This formula is based on the assumption that the object is near the surface of the Earth.

3. What is maximum velocity?

Maximum velocity is the highest velocity that an object can reach in a given situation. It is usually achieved when an object has used up all of its potential energy and is at its lowest point or position. In other words, it is the fastest speed an object can attain due to the forces acting on it.

4. How does potential energy affect an object's maximum velocity?

The amount of potential energy an object has will directly affect its maximum velocity. As an object falls, its potential energy decreases and its kinetic energy (energy of motion) increases. The maximum velocity will be reached when all of the potential energy has been converted into kinetic energy.

5. Can potential energy and maximum velocity be changed?

Yes, potential energy and maximum velocity can be changed. Potential energy can be altered by changing the object's height or mass, while maximum velocity can be influenced by factors such as air resistance and friction. Both potential energy and maximum velocity are dependent on the initial conditions and external forces acting on the object.

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