Static and Kinetic Friction: Analyzing a Block's Movement on a Horizontal Table

In summary, the problem involves a 30.0 N block on a horizontal table with an applied force of 48 N. The coefficients of static and kinetic friction are 0.650 and 0.420 N, respectively. To determine if the block will move and its acceleration, we must consider the relationship between the applied force and static friction force, and draw a diagram of the forces acting on the block.
  • #1
rcjroxanne
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Homework Statement


A block whose weight is 30.0 N rests on a horizontal table. A horizontal force of 48 N is applied to the block. The coefficients of static and kinetic friction are 0.650 and 0.420 N, respectively. Will the block move under the influence of the force, and, if so, what will be the block's acceleration?

Homework Equations



force of static friction = mu x normal force = ma
force of kinetic friction = mu of k x normal force


The Attempt at a Solution




i understand how to use both the static and kinetic frictions...but how do i connect the two to answer this question?
 
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  • #2
You must know SOMETHING about how to set this problem up. How would the applied force have to relate to static friction force if the block started to move?
 
Last edited:
  • #3
Draw the forces acting on the block, when it is pushed and try getting your equations from there.
 

1. What is the difference between static and kinetic friction?

Static friction is the force that prevents an object from moving when a force is applied to it, while kinetic friction is the force that acts between two objects that are already in motion.

2. How is static friction calculated?

Static friction is calculated by multiplying the coefficient of static friction (a constant that depends on the materials in contact) by the normal force (the force perpendicular to the surface).

3. What factors affect the magnitude of kinetic friction?

The magnitude of kinetic friction depends on the coefficient of kinetic friction, the normal force, and the relative velocity between the two objects.

4. How does the coefficient of friction affect the forces of static and kinetic friction?

The coefficient of friction determines the strength of the force of friction. A higher coefficient of friction means a stronger force of friction, and a lower coefficient means a weaker force.

5. What is the relationship between friction and motion?

Friction always acts in the opposite direction of motion. This means that when an object is moving, the force of friction is acting to slow it down, and when an object is trying to move, the force of friction is acting to prevent it from moving.

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