Radial Track, Find Loss of TME

  • Thread starter Thread starter bigman8424
  • Start date Start date
  • Tags Tags
    Loss Radial Track
Click For Summary
SUMMARY

The discussion focuses on calculating the loss of Total Mechanical Energy (TME) for a 500g block sliding down a radial track with a height of 1.0 m and a radius of 1.0 m, reaching a velocity of 4 m/s at the end. The formula used is TMEf - TMEo, where the final kinetic energy (K.E.f) and potential energy (P.E.f) are compared to the initial kinetic energy (K.E.o) and potential energy (P.E.o). The correct calculation shows that the loss of TME is 900 J, confirming that energy is measured in joules, not newtons, and that mass must be converted to kilograms for accurate results.

PREREQUISITES
  • Understanding of Total Mechanical Energy (TME)
  • Knowledge of kinetic and potential energy formulas
  • Familiarity with energy dissipation concepts
  • Basic physics principles regarding mass and units
NEXT STEPS
  • Review the principles of energy conservation in physics
  • Learn about energy dissipation and friction in mechanical systems
  • Study the conversion of mass units in physics calculations
  • Explore advanced problems involving radial motion and energy loss
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding energy conservation and dissipation in mechanical systems.

bigman8424
Messages
25
Reaction score
0
looks like a fun problem, just got to understand it:

A 500g block slides down a radial track with height of 1.0 m, it's radius is 1.0 m, with velocity of 4 m/s at the end of the track. what is the loss of the TME?

Disipation of energy problem:
TMEf - TMEo
F * D = K.E.f + P.E.f - (K.E.o + P.E. o)
friction * cos(180) * D = (1/2 mv^2f + mghfo) - (1/2mv^2o + mgho)
f(-1)(1) = (1/2)(500)(4)^2 + 0 - (500)(9.8)(1)

Can someone please confirm this?
is the loss of TME = 900 N = Friction ??
 
Physics news on Phys.org
Energy isn't measured in Newtons and you haven't converted your mass to kilograms either.
 
so, is the new equation:
f(-1)(1) = (1/2)(0.5)(4)^2 + 0 - (0.5)(9.8)(1) ??
ans: 900 J ?
 
Last edited:

Similar threads

Block sliding on vertical track with friction (Solved problem)
  • · Replies 4 ·
Replies
4
Views
3K
Find the speed of the biker at the bottom of the hill
  • · Replies 38 ·
2
Replies
38
Views
4K
Minimum distance around a track
  • · Replies 1 ·
Replies
1
Views
2K
Reaction between a track and a ball at a point
  • · Replies 10 ·
Replies
10
Views
3K
Momentum with Two Carts on a Low-Friction Track
  • · Replies 3 ·
Replies
3
Views
5K
Block Around a Track: Find Force & Coeff of Friction
  • · Replies 1 ·
Replies
1
Views
7K
Height Required for Rollercoaster to Remain on the Track
  • · Replies 7 ·
Replies
7
Views
11K
Energy Loss in Plastic Scintillator
  • · Replies 8 ·
Replies
8
Views
2K
Graduate Relation between the track of a particle and its energy loss
  • · Replies 6 ·
Replies
6
Views
2K
Calculating Work Done by Friction in a Circular Track
  • · Replies 2 ·
Replies
2
Views
11K