How Is Static Friction Calculated from Deceleration Data?

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SUMMARY

The calculation of static friction can be derived from deceleration data using Newton's second law. Given a vehicle decelerating from 45 km/hr to a stop in 3.5 seconds, the acceleration is calculated as 3.57 m/s². The maximum static friction force acting on the cup can be determined by applying the formula F_friction = m * a, where 'm' is the mass of the cup and 'a' is the acceleration. This approach allows for the determination of static friction based on the deceleration experienced by the object.

PREREQUISITES
  • Understanding of Newton's second law of motion
  • Basic knowledge of kinematics and acceleration
  • Ability to convert units (e.g., km/hr to m/s)
  • Familiarity with the concept of static friction
NEXT STEPS
  • Learn how to calculate frictional forces using F_friction = m * a
  • Study the principles of kinematics in detail
  • Explore the relationship between mass and friction in static scenarios
  • Investigate real-world applications of static friction in automotive safety
USEFUL FOR

Physics students, automotive engineers, and anyone interested in understanding the dynamics of motion and friction in vehicles.

SciGuy26
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How would I find static friction given the following information:

V= 45km/hr
Time to decelerate completely from 45km/hr: 3.5s

The motion of the object given is of a moving vehicle. There is a cup on the dashboard inside the vehicle that moves only when deceleration time is less than or equal to 3.5s. From this information how could I solve for static friction between the cup and the dashboard?

I started by converting the velocity to m/s and found the acceleration to be be 3.57m/s^2 in the negative x direction. I do not know how to go from here...please help.
 
Physics news on Phys.org
How is static friction defined. The maximum static friction force must occur when the cup is subject to the acceleration of 3.57 m/s2.
 

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