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

In summary, the coefficient of static friction between the truck floor and the box is 0.40. This means that the truck must decelerate at a rate less than or equal to the friction force in order for the box to not slide. More information is needed to determine the exact distance needed for the truck to stop without the box sliding.
  • #1
bbreezy
7
0
The coefficent 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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  • #2
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.
 

1. What is the definition of friction coefficient?

The friction coefficient is a dimensionless quantity that represents the ratio of the force of friction between two surfaces to the normal force between them. It is denoted by the symbol μ and its value depends on the nature of the surfaces in contact.

2. How is friction coefficient calculated?

The friction coefficient can be calculated by dividing the force of friction by the normal force. It can also be determined experimentally by measuring the force required to move an object over a certain surface at a constant speed.

3. What factors affect the friction coefficient?

The friction coefficient is affected by various factors such as the nature of the surfaces in contact, the roughness of the surfaces, the temperature, and the presence of lubricants or contaminants. It also depends on the magnitude of the normal force and the relative velocity between the surfaces.

4. How does the friction coefficient affect motion?

The friction coefficient plays a crucial role in determining the amount of force required to overcome friction and initiate motion between two surfaces. A higher friction coefficient means that more force is needed to move an object, while a lower friction coefficient allows for easier movement.

5. Can the friction coefficient be changed?

Yes, the friction coefficient can be changed by altering the factors that affect it. For example, the use of lubricants can decrease the friction coefficient, while increasing the roughness of the surfaces can increase it. It can also vary depending on the speed and direction of the motion between the surfaces.

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