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

AI Thread Summary
To calculate the frictional force acting on a 0.5 kg cart subjected to a 2 Newton applied force and an acceleration of 3.5 m/s², Newton's second law (F=ma) is utilized. The net force can be determined by multiplying the mass by the acceleration, resulting in a net force of 1.75 Newtons. The frictional force can then be found by subtracting this net force from the applied force, leading to a frictional force of 0.25 Newtons. The frictional force acts in the opposite direction to the applied force. Understanding these relationships is crucial for solving similar physics problems.
Kristenx2
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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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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.
 
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