Calculating Motion on a Ramp Without Mass

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SUMMARY

The discussion focuses on calculating the motion of a train coasting up a 5.0-degree incline at a speed of 2.55 m/s after the last car breaks free. The key insight is that mass is not necessary for determining the acceleration due to gravity's component acting down the ramp. By recognizing that the net force can be derived from gravitational acceleration alone, participants concluded that mass cancels out in the equations, simplifying the problem significantly.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with gravitational force components
  • Basic algebra for solving equations
  • Knowledge of kinematics in inclined planes
NEXT STEPS
  • Study the concept of gravitational force components on inclined planes
  • Learn how to apply Newton's second law in scenarios without mass
  • Explore kinematic equations for motion on inclines
  • Investigate the effects of friction on motion in similar problems
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Students in physics courses, educators teaching mechanics, and anyone interested in understanding motion on inclined planes without the need for mass calculations.

BraedenP
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Homework Statement


A train is traveling up a 5.0 degree incline at a speed of 2.55 m/s when the last car breaks free and begins to coast without friction. How long does it coast before stopping momentarily?


Homework Equations


F=mg or F=ma more generally.


The Attempt at a Solution


I would normally use the object's mass to find a vertical force of gravity, and then use the degree of incline to find the force directed down the ramp, with which I could calculate acceleration and solve for the time.

However, without a given mass, I'm stuck..

How do I find a force (or is there a straight way to get the acceleration?)
 
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1. F(net) does not equal mg in this situation.
2. Draw your sum of forces, and work out the algebra. Mass eventually cancels out.
 
thrill3rnit3 said:
1. F(net) does not equal mg in this situation.
2. Draw your sum of forces, and work out the algebra. Mass eventually cancels out.

Oh duh! I'm so retarded sometimes.. All I needed to do was work out the component of gravitational acceleration pointing down the ramp. No force calculations required at all.

Thanks! :P
 
Last edited:

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