? on change in mechanical energy

Click For Summary
SUMMARY

The discussion centers on calculating the change in mechanical energy due to friction for a 6.0 kg block sliding down a 30-degree incline. The block slides 2.2 meters in 2.0 seconds, resulting in a height drop of 1.1 meters. The correct approach involves using the formula for mechanical energy change, E = Ef - Eo, and understanding the relationship between potential energy (PE) and kinetic energy (KE). The initial velocity is 0 m/s, and the final velocity must be determined accurately to compute the change in mechanical energy.

PREREQUISITES
  • Understanding of mechanical energy concepts, including potential energy (PE) and kinetic energy (KE).
  • Familiarity with basic physics equations, particularly E = Ef - Eo.
  • Knowledge of free body diagrams (FBD) to analyze forces acting on the block.
  • Ability to calculate average and final velocities in motion problems.
NEXT STEPS
  • Study the relationship between potential energy and height in inclined plane problems.
  • Learn how to derive acceleration from free body diagrams (FBD) in physics.
  • Research methods to calculate final velocity from average velocity in uniformly accelerated motion.
  • Explore the effects of friction on mechanical energy in real-world scenarios.
USEFUL FOR

Students studying physics, particularly those tackling problems involving mechanical energy, inclined planes, and friction. This discussion is beneficial for anyone needing clarification on energy conservation principles in motion.

ken.adams
Messages
1
Reaction score
0
I am having problems with this physics problem.
Starting from rest a 6.0 kg block slides 2.2m down a rough 30deg incline in 2.0s. find the change in mechanical energy due to friction. answer in J.

I know that change in mechanical energy is obtained by E=Ef-Eo or Wnc=(KEf+PEf)-(KEo-PEo) and I have used that but must be using the wrong #s.
The given values are easy to plug in but I am not sure on heights and velocities. the block travels down the incline 2.2 m which is only a height drop of 1.1m do I use 2.2 or 1.1m?, and I figure the velocity to be 2.2m/2.0s= 1.1 m/s ,but since the block starts at rest is my initial velocity is 0 and final 1.1 right and I have tried using 1.1 and 2.2 as starting heights and 0 as final height, but cannot get the right answer.
any help is appreciated
thanks
ken
 
Physics news on Phys.org
Thread moved to Homework Help.

Welcome to the PF, Ken. I'm not familiar with the term "mechanical energy". How is mechanical energy related to potential energy (PE) and kinetic energy (KE)? The wording of the proble is a bit confusing, but it sounds like the friction force on the block is not enough to keep it from starting to slide on its own when released, so there will be some acceleration down the incline due to gravity, and hindered by the friction force. You can write a FBD equation for that interaction of forces and derive the total acceleration, which will head you in the direction of getting your answers.
 
ken.adams said:
I know that change in mechanical energy is obtained by E=Ef-Eo or Wnc=(KEf+PEf)-(KEo-PEo) and I have used that but must be using the wrong #s.
That looks OK. Think of it this way: ME(initial) = ME(final) + Wnc.
Compare the initial mechanical energy to the final mechanical energy.
The given values are easy to plug in but I am not sure on heights and velocities. the block travels down the incline 2.2 m which is only a height drop of 1.1m do I use 2.2 or 1.1m?,
Which distance affects gravitational PE?

and I figure the velocity to be 2.2m/2.0s= 1.1 m/s
That would be the average velocity--you need the final velocity at the bottom of the incline. How does the average velocity relate to the initial and final velocity?
 

Similar threads

  • · Replies 9 ·
Replies
9
Views
2K
Replies
2
Views
1K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 9 ·
Replies
9
Views
1K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 7 ·
Replies
7
Views
3K
Replies
19
Views
3K
  • · Replies 11 ·
Replies
11
Views
1K
Replies
9
Views
1K