Calculate the Frictional Force with Force, Mass, and Acceleration given.

In summary, a 2 Newton force is applied to a 0.5 kilogram cart on a track, resulting in an acceleration of 3.5 meters/sec2. Using Newton's 2nd law, the net force in the horizontal direction can be found to be 1 Newton. This means that the frictional force must be equal to 1 Newton, in the opposite direction of the applied force. No friction coefficient is needed to solve for the frictional force in this scenario.
  • #1
Kristenx2
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0

Homework Statement


You apply a 2 Newton force to a 0.5 kilogram cart on a track and measure the acceleration of the cart with a motion detector. The acceleration is measured t be equal to 3.5 meters/sec2. Calculate the frictional force. In which direction compared to the applied force is it directed?


Homework Equations


The only equations I can think of are F=ma and f=μN.


The Attempt at a Solution


I have no idea where to start. Whenever I was given a problem in which I had to find acceleration, it was on a plane where I had angles and such to help me tie formulas together. have no clue what formula to use on this problem.
 
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  • #2
Kristenx2: Welcome to PF!

The cart i guess is assumed to be on a level horizontal track,and it is assumed that you are applying a horizontal force of 2 N. Newton's 2nd law in the horizontal direction states that the Net force in the horizonatal direction is equal to ma. Solve for the net force, and since you know the applied force, you should be able to solve for the friction force (without need to find the friction coefficient), and its direction.
Note that there is no acceleration in the vertical direction, and thus, no net force in the vertical direction.
 

1. How do you calculate the frictional force using force, mass, and acceleration?

To calculate the frictional force, you can use the formula: F = μ * m * a, where F is the frictional force, μ is the coefficient of friction, m is the mass, and a is the acceleration. This formula is derived from Newton's Second Law of Motion, which states that force is equal to mass times acceleration.

2. What is the coefficient of friction?

The coefficient of friction is a dimensionless constant that represents the amount of resistance between two surfaces in contact. It depends on factors such as the materials of the surfaces and the roughness of the surfaces. The higher the coefficient of friction, the greater the resistance and therefore the greater the frictional force.

3. How does mass affect the frictional force?

The mass of an object does not directly affect the frictional force. However, the greater the mass, the greater the force needed to accelerate the object, which can indirectly affect the frictional force. This is because the force needed to overcome the frictional force increases with the mass of the object.

4. What is the relationship between frictional force and acceleration?

The frictional force and acceleration have an inverse relationship. This means that as the acceleration of an object increases, the frictional force decreases. This is because a greater acceleration can overcome the resistance caused by friction more easily.

5. How can I reduce the frictional force?

The amount of frictional force can be reduced by using lubricants, polishing or smoothing surfaces, or changing the materials of the surfaces in contact. It can also be reduced by decreasing the force or mass of the object, or by decreasing the coefficient of friction by using materials with lower coefficients of friction.

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