Frictionless ramp question. Find angle.

In summary: I tried using the Total Energy equation and setting the initial energy (Ui) equal to the final energy (Uf) to solve for the angle of the ramp, but I ended up getting stuck. Any suggestions? In summary, the problem involves a 55kg block released on a frictionless ramp. The ramp is 20 meters long and at the bottom it is moving 8m/s. The goal is to find the angle of the ramp. The Total Energy equation is used, with the initial energy (Ui) being set equal to the final energy (Uf). However, further steps are needed to solve for the angle.
  • #1
oldschooleuro
1
0

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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  • #2
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
 
  • #3
Only force on the mass is gravity, which is conservative. so Einitial = Efinal

Ui + Ki = Uf + Kf
 

1. What is a frictionless ramp?

A frictionless ramp is a theoretical object used in physics to simplify calculations involving inclined planes. It is assumed to have no friction, meaning there is no resistance to motion as objects slide or roll down the ramp.

2. How is the angle of a frictionless ramp calculated?

The angle of a frictionless ramp can be calculated using the formula θ = tan-1(h/l), where θ is the angle of the ramp, h is the height of the ramp, and l is the length of the ramp.

3. Can a real-world ramp be completely frictionless?

No, it is not possible to have a completely frictionless ramp in the real world. Even the smoothest surfaces will have some amount of friction, although it may be minimal. Friction is a natural force that cannot be completely eliminated.

4. How does the angle of a frictionless ramp affect the speed of an object?

The angle of a frictionless ramp does not affect the speed of an object. In a frictionless system, the only factors that affect the speed of an object are the initial velocity and the acceleration due to gravity. The angle of the ramp only determines the path the object will take.

5. Can the angle of a frictionless ramp ever be negative?

No, the angle of a frictionless ramp cannot be negative. It is always measured as a positive value, ranging from 0° to 90°. A negative angle would imply that the ramp is facing downwards, which would not be a frictionless system.

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