Rollercoaster& velocity problem

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Homework Help Overview

The problem involves a roller coaster moving between different heights and experiencing friction. The original poster is trying to determine the speed at point 2 given specific heights and frictional forces, but expresses uncertainty about how to approach the problem without the mass of the roller coaster being provided.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the need to identify the correct equations to use, particularly in relation to friction and energy conservation. There is a focus on how to express the frictional force and its impact on the roller coaster's motion.

Discussion Status

Some participants have offered equations and insights into how to handle the frictional force, suggesting that the mass may cancel out in the calculations. There is ongoing exploration of the problem without a clear consensus on the approach yet.

Contextual Notes

The original poster notes the absence of the roller coaster's weight as a constraint, which complicates their ability to apply familiar equations. The discussion also highlights the challenge of working with a problem that lacks specific numerical values for mass.

chazgurl4life
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Suppose the roller coaster in Fig. 6-41 (h1 = 38 m, h2 = 12 m, h3 = 20) passes point 1 with a speed of 1.40 m/s. If the average force of friction is equal to one third of its weight, with what speed will it reach point 2? The distance traveled is 35.0 m.
m/s


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I don't even know where to start with this problem
 

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I'm afraid you problem isn't going to get answered ASAP, it takes a while for attachments to be approved. Perhaps if you described your problem?
 
ok so there is a rollercoaster on the ramp and there are 3 diffeternt positions allocated (hi= 38m, H2=12m, H3=20m). Now according to the problem there is a friction force on the rollercoaster which amount to 1/3 of thr rollercoaster's weight. But they don't give the weight of the rollercoaster. Since there is a long distance between hi and h2 they want to know what's the velocity at point 2 ( which is btween H1 &2). My porblem is that i don't even know what equations i should be using because my prof always gave us similar problems in which mass was given. is so i would use :

mgd=mgd2 + friction(distance)
 
chazgurl4life said:
mgd=mgd2 + friction(distance)

That is the correct equation to use. Think about how else you could write the frictional force. What other equations do you know for friction?
 
force of friction = coefficient of friction X normal force
coefficient of friction mass(9.8)
Force of Friction= coefficient of friction x mgcostheta
with the other equation : friction =mgd/mgd2
-----------
distance
 
[tex]F_{friction} = \mu R = \mu mg[/tex]

Substitute [itex]F_{friction} = \mu mg[/itex] into your equation and you will find that the masses cancel...
 
umg=mgd/mgd2
u=d/d2
 
chazgurl4life,

I think you did a mistake:

umg=mgd/mgd2
um = d/d2

Only the masses in bold cancel and g.
 
  • #10
oh ok thanx
 

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