What equation do i use to find the acceleration?

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AI Thread Summary
To find the acceleration of the crate, first calculate the frictional force using the equation Fk = (Mk)(FN), resulting in a frictional force of approximately 189 N. The net force acting on the crate is determined by subtracting the frictional force from the applied force of 221 N. With the net force calculated, apply Newton's second law, F = ma, to find the acceleration. The weight of the crate is 539.55 N, confirming the calculations are based on correct values. This approach effectively determines both the frictional force and the crate's acceleration.
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Homework Statement


A person pushes horizontally with a force of 221 N on a 55.0 kg crate to move it to the right across a level floor. The coefficient of kinetic friction is 0.350. What is the magnitude of (a)the frictional force and (b) the crate's acceleration? Use g=9.81 m/s2.

Homework Equations


Fk=(Mk)(FN)

The Attempt at a Solution


i used the above equation to find the frictional force which was 188.65 N and i know the acceleration will be in m/s^2 but i don't know how to find the acceleration
 
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Can you draw a diagram with forces acting?
What direction does the frictional force act? What is the net force on the crate?
 
Since the mass of the crate is 55.0 kg and g= 9.81, the weight of the crate is 55.0*9.81= 539.55 Newtons. Multiply that by the given coefficient of friction, 0.350, to get the friction force, 188.8425, or to three significant figures, 189 Newtons. Subtract that from the applied force (assuming it is horizontal) to get the net force acting on the crate. Then use "F= ma" to find the acceleration.
 
thank you!
 
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