Calculating Acceleration on Ice: Max Possible for 60.9kg Person

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SUMMARY

The maximum possible acceleration for a 60.9 kg person running on ice, given a coefficient of static friction of 0.123, can be calculated using Newton's laws of motion. The formula derived is a = (coefficient of static friction) * g, where g is the acceleration due to gravity (approximately 9.81 m/s²). The mass cancels out in this scenario, confirming that the approach is correct. No additional applied force (Fapp) is necessary for this calculation.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Knowledge of static friction coefficients
  • Basic algebra for solving equations
  • Familiarity with gravitational acceleration (g = 9.81 m/s²)
NEXT STEPS
  • Study the implications of varying coefficients of friction on acceleration
  • Explore real-world applications of Newton's laws in sports science
  • Learn about dynamic friction and its effects on motion
  • Investigate the role of mass in different friction scenarios
USEFUL FOR

Physics students, educators, and anyone interested in the mechanics of motion on slippery surfaces, particularly in sports or physical activities on ice.

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Homework Statement


A 60.9kg person wishes to run on ice. The coefficient of static friction between his shoes and the ice is 0.123. What is his maximum possible acceleration?


Homework Equations


Newton's laws of motion



The Attempt at a Solution


I figured that Fnet = Ffr, with me then solving for a. This, however, seems almost too easy for the mass cancels out just leaving me with a = (coefficient of static friction)(g). I'm not sure if I need to consider an Fapp force here or not. Is what I'm doing for this question correct, or is there something else I'm missing here? Thanks for the assistance.
 
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