How Does Mass Affect Acceleration on a Frictionless Surface?

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SUMMARY

The discussion centers on the relationship between mass and acceleration on a frictionless surface, specifically under the influence of a force F0 that results in an acceleration of 20 m/s². Participants emphasize that the mass can be treated as a variable 'm' in the equations, allowing for simplification through cancellation. This approach enables the calculation of acceleration without needing the specific mass value. The key takeaway is that mass does not affect the final expression for acceleration in this scenario.

PREREQUISITES
  • Understanding of Newton's Second Law of Motion
  • Familiarity with basic algebraic manipulation
  • Knowledge of frictionless surfaces in physics
  • Ability to interpret and solve physics equations
NEXT STEPS
  • Study Newton's Second Law of Motion in detail
  • Practice problems involving frictionless surfaces
  • Explore the concept of mass as a variable in physics equations
  • Learn about the implications of acceleration in different physical contexts
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone interested in understanding the principles of motion and acceleration in a frictionless environment.

a18c18
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Homework Statement



A force F0 causes an acceleration of 20 m/s2 when it acts on an object of mass m sliding on a frictionless surface. Find the magnitude of the acceleration of the same object in the circumstances shown in each figure below.

Homework Equations



I cannot figure out how to do this problem without knowing the mass. Can anyone help?

The Attempt at a Solution



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Welcome to PF!

a18c18 said:
I cannot figure out how to do this problem without knowing the mass. Can anyone help?

Hi a18c18! Welcome to PF! :smile:

Hint: Just call the mass m, and do all the equations as usual …

you'll find that you can cancel the m's in the end! :smile:
 

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