Find the Distance of a Toy Zebra from a Chute

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SUMMARY

The discussion focuses on calculating the distance a toy zebra travels after being released from a height of 1.05 meters down a frictionless chute with an initial speed of 1.71 m/s. The coefficient of kinetic friction is 0.263, and gravitational acceleration is 9.81 m/s². Key equations include kinetic energy (K=1/2mv²) and work done by friction (W=-μmgd). The solution involves applying conservation of energy principles to determine the final distance traveled before coming to rest.

PREREQUISITES
  • Understanding of basic physics concepts such as potential energy and kinetic energy.
  • Familiarity with the principles of conservation of energy.
  • Knowledge of kinematic equations and their applications.
  • Basic understanding of friction and its effects on motion.
NEXT STEPS
  • Study the application of conservation of energy in mechanical systems.
  • Learn how to calculate work done by friction in various scenarios.
  • Explore kinematic equations and their use in solving motion problems.
  • Investigate the effects of different coefficients of friction on object motion.
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This discussion is beneficial for physics students, educators, and anyone interested in understanding the dynamics of motion involving friction and energy conservation principles.

becky_marie11
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Homework Statement


A boy shoves his stuffed toy zebra down a frictionless chute, starting at a height of 1.05 m above the bottom of the chute and with an initial speed of 1.71 m/s. The toy animal emerges horizontally from the bottom of the chute and continues sliding along a horizontal surface with coefficient of kinetic friction 0.263. How far from the bottom of the chute does the toy zebra come to rest? Take g = 9.81 m/s2.

h=1.05m
Vi=1.71m/s
μk=.263
g=9.81m/s^2


Homework Equations


K=1/2mv^2
W=-μmgd
W(non conservative)=Ef-Ei


The Attempt at a Solution


I don't even know where to start... I solved for the final velocity using regular kinematic equations, but without a mass, I have no idea how to go about this... please help!
 
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There's essentially two parts to the question. So the first part is calculating the speed which the object gets to when it gets to the bottom of the chute. I'm guessing you've done the regular kinematic equations for this part? Which equations did you use, and what answer did you get to?
 


Welcome to PF, becky_marie11!

I'm missing the relevant equation for potential energy.
Conservation of energy says that the total initial energy must have been canceled by the work done by friction.
 


Ohhh...Wait I figured it out. Nevermind! Thanks though!
 

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