Acceleration using friction

In summary, the person exerts a horizontal force of 280 N on a 40 kg crate moving it across a level floor with a coefficient of kinetic friction of 0.30. The frictional force is 118.44 N, leaving a remaining force of 161.56 N pushing the crate forward. Using the equation a=Fn/m, the magnitude of the crate's acceleration is 4.04 m/s^2.
  • #1
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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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  • #2
Don't just guess. Draw a picture. In which directions are the two horizontal forces applied to the crate?
 
  • #3
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?
 

What is acceleration using friction?

Acceleration using friction is a phenomenon where an object's speed increases due to the force of friction acting on it. Friction is the resistance that occurs when two objects rub against each other, and this resistance can cause an object to accelerate in the opposite direction.

What factors affect acceleration using friction?

The factors that affect acceleration using friction include the type of surface the objects are in contact with, the force of the object's weight, and the coefficient of friction between the two surfaces. The rougher the surface and the greater the object's weight, the more friction there will be, resulting in a higher acceleration.

How does acceleration using friction differ from other types of acceleration?

Acceleration using friction is different from other types of acceleration because it is caused by a force that opposes the direction of motion. In other types of acceleration, such as gravity or a push/pull force, the force acts in the same direction as the motion.

What are some real-life examples of acceleration using friction?

One example of acceleration using friction is a car speeding up as it drives on a road. The car's tires experience friction with the road, causing the car to accelerate forward. Another example is a hockey puck sliding across the ice due to the friction between the puck and the ice surface.

How is acceleration using friction calculated?

The calculation for acceleration using friction involves using the equation a = F/m, where "a" is the acceleration, "F" is the frictional force, and "m" is the mass of the object. The frictional force can be calculated using the equation F = μN, where "μ" is the coefficient of friction and "N" is the normal force between the two surfaces.

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