Frictionless ramp question. Find angle.

[oldschooleuro]

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.

 

[berkeman]

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

 

[Mamooie312]

Only force on the mass is gravity, which is conservative. so Einitial = Efinal

Ui + Ki = Uf + Kf