How Far Will a Mass Travel on a Frictionless Incline After Going Through a Loop?

Click For Summary
SUMMARY

The discussion centers on a physics problem involving a mass traveling down a frictional incline and through a loop. The incline measures 10 meters at a 36-degree angle, with a kinetic friction coefficient of 0.26. After navigating a loop with a 2-meter radius, the mass ascends a second incline at a 33-degree angle. The final calculated distance the mass travels up the second incline is 9.18 meters, determined using energy conservation principles and specific equations.

PREREQUISITES
  • Understanding of energy conservation principles in physics
  • Knowledge of kinematics and dynamics, specifically involving friction
  • Familiarity with trigonometric functions related to angles
  • Ability to apply equations of motion and work-energy theorem
NEXT STEPS
  • Study the conservation of energy in mechanical systems
  • Learn about the effects of friction on motion in inclined planes
  • Explore the dynamics of circular motion, particularly in loops
  • Investigate the application of trigonometric functions in physics problems
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the dynamics of motion on inclined planes and the effects of friction in mechanical systems.

eestep
Messages
33
Reaction score
0

Homework Statement


A mass starts at top of incline with a length of 10 meters with an angle of 36 degrees. Incline has friction with a coefficient of kinetic friction of .26. At bottom of incline is a horizontal, frictionless surface which has a loop of radius 2 meters. After loop is a frictionless incline which is inclined at an angle of 33 degrees. If mass is given enough velocity at top of first incline with friction such that it just makes it around loop, how far up second incline will mass travel in meters? Answer is 9.18.

Homework Equations


[tex]\Delta[/tex]E=Wnc

The Attempt at a Solution


h=Lsin[tex]\theta[/tex]
Wnc=Wfk+WFn=-fkL
Ef-Eo=-fkL
Eo=uo+KE
Ef=uf+KEf
 
Physics news on Phys.org
So using conservation of energy, what is the initial energy? At the bottom of the incline (just before the loop) what is the speed?
 
vo=4.9m/s
vf=9.9m/s
 

Similar threads

Conservation of Energy on a frictionless incline
  • · Replies 2 ·
Replies
2
Views
4K
How far does the block travel up the incline?
  • · Replies 1 ·
Replies
1
Views
4K
Calculating Energy Conservation in a Spring-Mass System on an Incline
  • · Replies 7 ·
Replies
7
Views
2K
What is the work-energy theorem for a block sliding on a frictionless incline?
  • · Replies 6 ·
Replies
6
Views
5K
Work and Energy Conservation, Need
  • · Replies 5 ·
Replies
5
Views
23K
How far does the block slide? (work, spring, incline)
  • · Replies 4 ·
Replies
4
Views
2K
Conservation of Energy-Two Blocks Sliding Down an Incline
  • · Replies 3 ·
Replies
3
Views
4K
How Far Will a Block Slide on an Incline with Friction?
  • · Replies 2 ·
Replies
2
Views
2K
How Does Friction Affect the Energy of a Rolling Ball on Inclined Planes?
  • · Replies 5 ·
Replies
5
Views
2K
Conservation of mechanical energy question
  • · Replies 1 ·
Replies
1
Views
2K