Calculating Stopping Distance for a Moving Truck and Box to Prevent Sliding

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SUMMARY

The discussion focuses on calculating the stopping distance for a moving truck to prevent a box from sliding, given a coefficient of static friction of 0.40 and a truck speed of 82.9 km/hr. To ensure the box remains stationary, the deceleration of the truck must not exceed the frictional force, which is determined by the formula: friction force = coefficient of friction * mass of the box * acceleration due to gravity. Understanding the relationship between friction, mass, and acceleration is crucial for solving this problem quantitatively.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Knowledge of static friction and its coefficient
  • Basic algebra for solving equations
  • Familiarity with concepts of acceleration and deceleration
NEXT STEPS
  • Calculate the maximum frictional force using the formula: friction force = coefficient of friction * mass of the box * gravity
  • Determine the deceleration required to stop the truck from 82.9 km/hr
  • Use kinematic equations to find the stopping distance based on the calculated deceleration
  • Explore real-world applications of friction in vehicle dynamics and load management
USEFUL FOR

Physics students, automotive engineers, logistics professionals, and anyone involved in vehicle safety and load management will benefit from this discussion.

bbreezy
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The coefficient of static friction between the floor of a truck and a box resting on it is 0.40. The truck is traveling at 82.9 km/hr. What is the least distance in which the truck can stop and ensure that the box does not slide?

No idea where to even start...
 
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Doesn't seem like they gave you enough info to solve this quantitatively.
In order for the box to not move it cannot meet or exceed the friction force. This is force is equal to the coefficient of friction*mass of the box*acceleration (gravity).

The truck and the box are already moving and according to Newton an object in motion tends to stay in motion, so when the truck slows (negative acceleration) the box will slide if the deceleration is an equal or greater magnitude than the friction force between the truck and the box.

I hope this helps. I confused myself writing it so if you have any questions please feel free to ask.
 

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