Solving an Uphill Task: A 10° Frictionless Ramp & 8 m/s Cart

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Homework Help Overview

The problem involves a cart moving at a speed of 8 m/s on a flat surface that ascends a frictionless ramp inclined at 10 degrees. The objective is to determine how far the cart travels up the ramp.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the potential use of energy principles, specifically kinetic and gravitational potential energy, to approach the problem. Questions arise regarding the necessary equations and how to apply the given speed and angle to find the distance traveled up the ramp.

Discussion Status

The discussion is ongoing, with participants exploring different concepts related to energy. Some have suggested writing out relevant equations, while others express uncertainty about how to proceed with the information provided.

Contextual Notes

Participants note the challenge of working with limited information, specifically only having the speed of the cart and the angle of the ramp, which raises questions about the assumptions and definitions involved in the problem.

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This is the most horrible question I've ever had to do. It should be simple, but it's not!

A cart moving at 8 m/s on a flat surface goes up a frictionless ramp tilted 10 degrees from the horizontal. How far up the ramp should the cart go?

It's not worded like that exactly, but the question is the same. Any ideas on how to solve this one? :confused:
 
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use energy?
 
But what do I have to do to find out how far up the ramp it will go? I don't know what equation to use. I tried and tried but can't figure it out.
 
State the equations for Kinetic energy and gravitational potential energy.
 
I know about the potential energy and kinetic energy, but if I only have the speed and angle of the ramp, how am I supposed to work it out?
 
what are the equations? write them out. it may help
 

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