How Does Conservation of Energy Apply to Motion Down a Hill?

AI Thread Summary
The discussion centers on the application of the conservation of energy principle to motion down a hill. The user attempts to solve the problem using the equation Eki = Ekf + Eg, incorporating kinetic and gravitational energy. They express confusion regarding the derivation of the final velocity equation, specifically sqrt(vi² - sg(delta)h) = vf. The user notes a discrepancy with a provided solution in a PDF, which they believe is correct except for a minor typographical error. Clarification on the specific question being asked is also sought.
mike_302
Messages
102
Reaction score
0

Homework Statement



My attempt at a solution was to say:

Eki = Ekf + Eg

and my Ek 's all has 1/2 on them... other than that, my solution is essentially the same thing.
I end up with sqrt( vi2 - sg(delta)h ) = vf



What's up with this?
 

Attachments

Physics news on Phys.org
The solution in the pdf file looks good and has the same answer as in your post (except for an extra "s" which must be a typo). What exactly is the question you are asking?
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
View full post »
Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

Confused about a conservation of energy problem
Replies
4
Views
2K
Energy calculations for a skier on a hill
Replies
6
Views
6K
What velocity does a train need to go up and down the hill
Replies
37
Views
4K
Tension Force Problem (applying Work-Kinetic Energy Theorem)
Replies
16
Views
992
Conservation of Energy with Gravitational Potential Energy
Replies
6
Views
2K
Why Does Kinetic Energy Seem Lost in a Collision Despite No Friction?
Replies
7
Views
2K
A rocket on a spring, related to potential/kinetic energy
Replies
3
Views
2K
Spring conservation of energy problem
Replies
14
Views
3K
Collision Conservation of Energy
Replies
5
Views
1K
Solving Momentum & Energy Homework Problem
Replies
9
Views
1K

Hot Threads

Recent Insights

Back
Top