Frictionless ramp question. Find angle.

AI Thread Summary
A 55kg block is released on a frictionless ramp that is 20 meters long and reaches a speed of 8 m/s at the bottom. The discussion revolves around calculating the angle of the ramp using energy conservation principles. The relevant equation is Total Energy (TE) = Potential Energy (PE) + Kinetic Energy (KE), indicating that the initial energy equals the final energy. The user expresses confusion about how to apply these concepts to find the angle, despite having identified the necessary variables. The conversation emphasizes the importance of understanding energy conservation in solving the problem.
oldschooleuro
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Homework Statement


A 55kg block is released on a ramp which is frictionless. The ramp is 20 meters long and at the bottom it is moving 8m/s. What is the angle of the ramp?


Homework Equations


I am looking for the angle but cannot for the life of me figure it out.


The Attempt at a Solution



I have set out my variables as m=55kg, d=20m and v=8m/s

I drew out a triangle and have no idea how to do it.
 
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oldschooleuro said:

Homework Statement


A 55kg block is released on a ramp which is frictionless. The ramp is 20 meters long and at the bottom it is moving 8m/s. What is the angle of the ramp?


Homework Equations


I am looking for the angle but cannot for the life of me figure it out.


The Attempt at a Solution



I have set out my variables as m=55kg, d=20m and v=8m/s

I drew out a triangle and have no idea how to do it.

Welcome to the PF. I moved your question to Intro Physics.

Are you familiar with using the Total Energy to solve this type of question? Does this equation look familiar?

TE = PE + KE
 
Only force on the mass is gravity, which is conservative. so Einitial = Efinal

Ui + Ki = Uf + Kf
 

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