How Far Does a Block Slide Up a Ramp Before Stopping?

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Homework Help Overview

The problem involves a block sliding up an inclined ramp, requiring the calculation of the displacement before it comes to a stop. The context includes concepts of kinetic friction, gravitational potential energy, and energy conservation principles.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between kinetic energy, potential energy, and work done by friction. There is an attempt to derive the displacement using energy equations, and questions arise about the inclusion of gravitational potential energy in the calculations.

Discussion Status

Some participants have provided guidance on the need to consider gravitational potential energy, while others are exploring the relationship between height and displacement along the ramp. Multiple interpretations of the problem are being discussed without reaching a consensus.

Contextual Notes

Participants are navigating the complexities of energy transformations and the effects of friction in the context of the problem, with some assumptions about the ramp's angle and the forces acting on the block being questioned.

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Homework Statement


A block of mass 2.96 kg is sliding up a ramp with an initial speed of 12.8 m/s. The ramp is inclined from the horizontal at an angle of 36.4 degrees and the coefficient of kinetic friction is [itex]\mu[/itex]=045. What is the displacement of the block along the ramp from the initial time until it stops?


Homework Equations



W=ΔE
W=∫F*ds
ΔE=(m/2)(vf)2-(m/2)(v0)2 where (vf)=0
[itex]\Phi[/itex]=36.4
m=2.96kg
v0=12.8 m/s
[itex]\mu[/itex]= 0.45

The Attempt at a Solution



[itex]\mu[/itex]*m*g*cos[itex]\Phi[/itex]x=-(m/2)(v0)2
solve for x
x=-(m/2)(v0)2/[itex]\mu[/itex]*m*g*cos[itex]\Phi[/itex]
 
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hi getty102! :smile:

correct method, but you forgot to include the gravitational PE (or gravitational work done) :wink:
 
Cool, thank you. The potential energy from gravity is dependent on the height. Which in this problem is kind of what I'm looking for because if I can find the height I would know the total displacement of the block up the ramp.
 
xsinΦ ? :wink:
 

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