Height in conservation of energy problem

AI Thread Summary
The discussion revolves around solving a conservation of energy problem involving an ice cube sliding inside a pipe. The initial speed of the ice cube is 3.0 m/s, and the height at the top of the pipe is calculated to be 0.40 m. The equation used is based on the principle that the initial kinetic energy plus potential energy equals the final kinetic energy plus potential energy. An error in calculating the height at the top was identified, which led to an incorrect final speed of 1.07 m/s instead of the expected 2.3 m/s. Correcting the height calculation resolved the issue, leading to the accurate answer.
acaulkin
Messages
2
Reaction score
0

Homework Statement


A very Slippery ice cube slides in a vertical plane around the inside of a smooth, 20 cm diameter horizontal pipe. The ice cube's speed at the bottom of the circle is 3.0 m/s
Vi = 3.0 m/s
Height at top= 2(.20) = .40
Vf = ?

Homework Equations


KE(initial) + PE(initial) = KE(final) + PE(final)

The Attempt at a Solution


(1/2)mVi^2+0 =(1/2)mVf^2 + mgh
masses cancel out:
(1/2)Vi^2-gh = (1/2)Vf^2
Vi^2-2gh = Vf^2
sqrt(Vi^2-2gh) = Vf
Plugging in all my variables I get an answer of: 1.07 m/s
Answer should be: 2.3 m/s
 
Physics news on Phys.org
acaulkin said:
A very Slippery ice cube slides in a vertical plane around the inside of a smooth, 20 cm diameter horizontal pipe.
[...]
Height at top= 2(.20) = .40
I can see one problem.
 
  • Like
Likes acaulkin
jbriggs444 said:
I can see one problem.
Thank you very much!
Adjusting for this, I get the correct answer.
 
Check your "Height at top calculation".
 
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...
Thread 'Collision of a bullet on a rod-string system: query'
In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
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...
Back
Top