Minimum Speed for Puck to Reach Top of Frictionless Ramp?

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Homework Help Overview

The problem involves determining the minimum speed required for a puck to reach the top of a frictionless ramp, specifically a 3.31-meter-long ramp inclined at 24 degrees. The context includes concepts of kinetic and potential energy.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between kinetic and potential energy, questioning the correct use of trigonometric functions in calculating height. There are attempts to clarify the vertical distance involved and the appropriate equations to use.

Discussion Status

The discussion is active, with participants providing feedback on each other's reasoning and calculations. Some guidance has been offered regarding the correct trigonometric functions to apply, and there is an acknowledgment of errors in previous attempts.

Contextual Notes

Participants are navigating through potential misunderstandings about the use of sine and cosine in the context of the ramp's geometry and energy conservation principles. There is a recognition of the need to clarify the vertical height in relation to the angle given.

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Homework Statement


What minimum speed does a 136.4 g puck need to make it to the top of a 3.31-m-long, 24° frictionless ramp?


Homework Equations


K=mV^2/2 U=mgY



The Attempt at a Solution


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the 'y' in your equation is the vertical distance, not horizontal. So the cos24 should be sin24
 
wrong its cos.

cos angle = b/c

f * s + potential energy = mv^2 / 2

edit: mistake if you want height then its sin.
 
if the equation is mgh = mv^2/2 then you can cancel out the mass.

gh = v^2/2

9.82 * 1.35m = v^2 / 2

26.5 =v^2

v = 5.15m/s

but it think this is totally wrong.
 
You have the angle, hypotenuse and want to know the opposite side. Therefore you need to use the sine.
 
ahhhhh. Thanks guys i see where i went wrong you guys are awesome!
 

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