How Do You Calculate Maximum Height on an Inclined Plane with Friction?

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In summary, the conversation discusses using energy methods to determine the maximum height reached by a block sliding down a curved track and up an inclined plane. The coefficient of kinetic friction between the block and the incline is Uk. The initial kinetic energy is equal to the final potential energy minus the work done by the frictional force. The conversation also mentions that the track is frictionless and that the potential energy just before the block starts to slide is mgh from gravity. It is also noted that the change in thermal energy of the block due to friction is Uk multiplied by the distance the block travels up the ramp. The conversation ends with a suggestion for more information about the variable "theta."
  • #1
Ineedphysicshelp
7
0
Prooving crazy formula

If anyone could help me with this that would be great. I keep getting stuck. Thanks.

A block slides down a curved frictionless track and then up an inclined plane. the coefficient of kinetic friction between the block and the incline is Uk. Use energy methods to show that the maximum height reached by the block is:

Ymax=

h
-----------------
1 + Uk cot(theta)
 
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  • #2
The initial kinetic energy is equal to final potential energy minus the work done by the frictional force. Where exactly are you "getting stuck?"
 
  • #3
Since the track is frictionless, it's path independent, so potential energy just before the block starts to slide is mgh (from gravity). Also you know that the change in thermal energy of the block due to friction is Uk * distance block travels up ramp. Hopefully that will help you some.
 
  • #4
It might help us to know what "theta" means.
 

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