How Is Acceleration Calculated When a Bureau Starts Moving on a Rough Surface?

In summary, the acceleration of the bureau on a rough horizontal surface with coefficients of friction 0.40 and 0.50 is 0.98 m/s^2. To find the applied force, the coefficient of static friction is used by dividing it by the normal force. To start the movement, the applied force must be equal to the static friction force.
  • #1
grouchy
73
0

Homework Statement



A bureau rests on a rough horizontal surface ( mk=0.40, ms=0.50). A constant horizontal force, just sufficient to start the bureau in motion, is then applied.The acceleration of the bureau is:

Homework Equations



F= ma

The Attempt at a Solution



The answer is 0.98 m/s^2 but I'm not sure why. I thought you would only use the kenetic friction since it just starts to move.
 
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  • #2
You use the static friction to get the applied force. Once it's moving the applied force doesn't change, but now use kinetic friction in your force balance.
 
  • #3
how can you get the applied force using the coefficient of static friction?..Coefficient of static friction= Fs/Fn
 
  • #4
pinkyjoshi65 said:
how can you get the applied force using the coefficient of static friction?..Coefficient of static friction= Fs/Fn

Fn=mg. Fs=0.5*mg. To start it moving the applied force must be equal to Fs.
 
  • #5
ohk..I see..so grouchy's answer is right, although the method is not
 
  • #6
pinkyjoshi65 said:
ohk..I see..so grouchy's answer is right, although the method is not

He didn't have a method. Hopefully now he does.
 
  • #7
ok, so you take the fs and subtract the fk? right?
 
  • #8
Why the question marks? fs is the force pushing the cabinet - fk is the force acting against the push. Use the total force on the cabinet to compute it's acceleration.
 

FAQ: How Is Acceleration Calculated When a Bureau Starts Moving on a Rough Surface?

What is Newton's second law of motion?

Newton's second law of motion states that the acceleration of an object is directly proportional to the net force applied on the object and inversely proportional to its mass. In other words, the greater the force applied on an object, the greater its acceleration will be. Similarly, the larger the mass of an object, the smaller its acceleration will be.

How is acceleration calculated using Newton's second law?

Acceleration can be calculated by dividing the net force applied on an object by its mass. The formula for acceleration is a = F/m, where a is the acceleration, F is the net force, and m is the mass of the object.

Is acceleration affected by the direction of the force?

Yes, acceleration is affected by the direction of the force. According to Newton's second law, the net force and acceleration are in the same direction. This means that if the force applied is in the same direction as the object's velocity, the object will speed up. If the force applied is in the opposite direction of the object's velocity, the object will slow down.

What is the unit of acceleration?

The unit of acceleration is meters per second squared (m/s²). This means that for every second an object is in motion, its velocity will change by a certain number of meters per second.

How does air resistance affect acceleration?

Air resistance is a force that opposes the motion of objects moving through air. This means that it acts in the opposite direction of the object's motion and can slow down its acceleration. The greater the surface area of an object, the greater the air resistance, and the slower its acceleration will be.

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