What is the time it takes for a player to come to a stop from sliding?

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SUMMARY

The time it takes for a player to come to a stop from sliding can be calculated using the formula: time = initial velocity / (coefficient of kinetic friction × acceleration due to gravity). Given a coefficient of kinetic friction of 0.70, an initial velocity of 8.23 m/s, and an acceleration due to gravity of 9.81 m/s², the mass of the player (80 kg) is not required for this calculation. The net force acting on the player is equal to the force of kinetic friction, which allows for the determination of deceleration and subsequently the time to stop.

PREREQUISITES
  • Understanding of kinetic friction and its coefficient
  • Basic knowledge of Newton's second law of motion
  • Familiarity with the concepts of acceleration and deceleration
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Calculate the stopping time for different initial velocities using the same friction coefficient
  • Explore the effects of varying the coefficient of kinetic friction on stopping time
  • Learn about the relationship between mass and normal force in friction calculations
  • Investigate real-world applications of friction in sports and vehicle dynamics
USEFUL FOR

Physics students, sports scientists, and anyone interested in the mechanics of motion and friction in sports scenarios.

chown

Homework Statement


A person slides to third base. The coefficient of kinetic friction between player and the ground is 0.70. His velocity at the start of the slide is 8.23m/s [forward].
Prove that the time it takes the player to come to a stop from sliding is:
time = initial velocity divided by (coefficient of kinetic friction X acceleration due to gravity)

acceleration due to gravity = 9.81 m/s^2 [down]
Mass = 80 kg
coefficient of kinetic friction = 0.70
initial velocity is 8.23 m/s [forward]

Homework Equations


Net force = mass times acceleration
coefficient of kinetic friction = force of friction/normal force
[tex]\Sigma F = net force[/tex]

The Attempt at a Solution


The net force must be equal to the force of kinetic friction. Acceleration is therefore in the direction backwards. Without the mass given, I'm able to suggest equations as proof in a limited manner because the normal force, a necessary component in finding the force of friction, is proportional to the mass. How can I solve for time without the mass?
 
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Are you sure you need the mass? Try writing out the expression for the acceleration of the person due to the frictional force.
 
Thank you.
 

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