Solving for the Height of a Slope with Unknown Mass

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SUMMARY

The discussion focuses on calculating the height of a frictionless slope with an unknown mass, given an initial velocity of 0 m/s and a final velocity of 4 m/s. Key insights include the application of energy conservation principles, where kinetic energy (KE) at the bottom equals potential energy (PE) at the top, allowing for the height to be determined without knowing the mass. The relevant equations are KE = mv²/2 and PE = mgh, which demonstrate that mass cancels out in the calculations. Additionally, the discussion suggests using free body diagrams to visualize forces acting on the box.

PREREQUISITES
  • Understanding of basic physics concepts such as kinetic energy and potential energy
  • Familiarity with the equations of motion and forces
  • Knowledge of energy conservation principles
  • Ability to draw and interpret free body diagrams
NEXT STEPS
  • Study the principles of energy conservation in physics
  • Learn how to draw and analyze free body diagrams
  • Explore the relationship between acceleration and gravitational forces on slopes
  • Review examples of problems involving frictionless motion and energy equations
USEFUL FOR

Students new to physics, educators teaching mechanics, and anyone seeking to understand the dynamics of objects on slopes without friction.

Ivar
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Homework Statement



A box is on top of a slope. The slope has NO FRICTION. V0 = 0 m/s, V = 4m/s.

MASS IS UNKNOWN

What is the height of the slope?

Homework Equations


Equation for energy (i think)

The Attempt at a Solution


I attempted to find the accelleration, but I do not know what the accelleration is for an object running down a slope with no friction.
The only force applying to the box is gravity, I think.

I am new to Physics. I tried solving it, but to no avail.
I know this can be solved without knowing the mass, but I don't know how! Help?
 
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KE at bottom should be equal to PE on the top of the slope
 
Yes. That I know. Bit how does this help me find the height of the Slope?

And what is the accelleration of an object running down a slope with no friction?
 
KE= mv^2 / 2 = mgh =PE .
mass is omitted in the equation , therefore you can find h .
the acceleration = F / m , you should find which component of gravity actually makes the mass running down the slope , then divide m , you got acceleration
 
Hi Ivar. Welcome to Physics Forums.

Jake Jungle has shown one method of getting the answer to your problem using energy conservation. But, it is not the only method, and maybe you are not that comfortable with using energy conservation. If not, have you considered drawing a free body diagram, and showing the forces acting on the box in your free body diagram?

Chet
 

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