How Do You Calculate Acceleration with Friction Involved?

AI Thread Summary
To calculate the acceleration of a crate being pushed with friction, first determine the net force acting on it. The applied force is 280 N, and the frictional force is 118.44 N, resulting in a net force of 161.56 N. Using Newton's second law, acceleration can be calculated with the formula a = F/m, where F is the net force and m is the mass of the crate. Substituting the values gives a = 161.56 N / 40 kg, resulting in an acceleration of 4.04 m/s². This approach effectively incorporates the effects of friction in the acceleration calculation.
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Homework Statement


A person pushes horizontally with a force of 280 N on a 40 kg crate to move it across a level floor. The coefficient of kinetic friction is 0.30. the magnitude of the frictional force is 118.44. What is the magnitude of the crate's acceleration?



Homework Equations


Fn=ma
fk=uk*Fn


The Attempt at a Solution


I figured out the first problem which was finding the magnitude of frictional force. I think I have to take 280N-118.44N for some reason. Thats just a gut feeling though.

Im just not totally sure which equations to use and what order to use them

Help would be great
 
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Don't just guess. Draw a picture. In which directions are the two horizontal forces applied to the crate?
 
ok, so the frictional force is countering the person's force. that would mean there is a 161.56N force still remaining pushing the box forward.

How do get acceleration from this? a=Fn/m? so that would give me" a=(161.56)/(40). thus a=4.04. is this right?
 

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