How to find acceleration without mass?

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SUMMARY

The discussion focuses on calculating acceleration on a slope without directly using mass. The key equation derived is a = g sin(theta) - mu*g cos(theta), where g represents gravitational acceleration, theta is the angle of the slope, and mu is the coefficient of friction. The mass cancels out in the equations due to the relationship between gravitational and inertial forces, as explained through a free body diagram. The conversation emphasizes the importance of clarity in posing physics questions for effective assistance.

PREREQUISITES
  • Understanding of Newton's second law (F = ma)
  • Familiarity with free body diagrams
  • Knowledge of gravitational acceleration (g)
  • Concept of friction and coefficient of friction (mu)
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  • Study the derivation of acceleration on inclined planes using free body diagrams
  • Learn about the implications of the Equivalence Principle in physics
  • Explore the relationship between gravitational force and mass in orbital mechanics
  • Investigate the effects of different coefficients of friction on acceleration
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Students studying physics, educators teaching mechanics, and anyone interested in understanding the dynamics of objects on inclined planes.

trollphysics
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Can someone explain to me how it is done? I know you cancel the m's out in a formula but how?
 
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Welcome to PF.

Your question is too vague for anyone to give a meaningful answer. If there is a specific context in which you need to know how to solve for acceleration, by all means post it.
 
differientiate velocity with time?
 
cepheid said:
Welcome to PF.

Your question is too vague for anyone to give a meaningful answer. If there is a specific context in which you need to know how to solve for acceleration, by all means post it.
no i mean like on a slope. My teacher said that you don't need mass if you have M = mu. So on a 45 degree angle ramp. The delta x would be 30m. Then you would need you can cancel out the m's in a equation.
quietrain said:
differientiate velocity with time?
no time. Just are given angle, delta x, mu
 
I think I understand what the question is. If I understand right, there's a mass on a sloped plane and there's a way to solve for the acceleration of the mass down it in terms of g, mu, and theta.

If you set up a free body diagram of the problem, you'll get the equation ma=mg sin(theta) - mu*N, where N is the normal force. N = mg cos(theta), so when you substitute and cancel the m's everywhere, you get:

a = g sin(theta) - mu*g cos(theta)

I think this is what you mean. In any case, try being more clear in your initial post next time.
 
You are also implying Einstein's Equivalence Principle...ALL masses accelerate at "g" at the surface of the earth...that is, it happens that gravitational and inertial acceleration are the same...
 
Just a thought, though it may be way off. Related to what Naty said. It sounds to me like the poster might be thinking of formulae for gravitational attraction relative to a specific body of known mass. If so, the process you may be looking for is:

F = (G.m1.m2)/d²
F = ma

So for a given mass:

a = F/m
= ((G.m1.m2)/d²)/m
= Gm/d²

Useful for calculating the orbits of satellites around the Earth or planets around stars etc.
 

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