What equation do i use to find the acceleration?

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Homework Help Overview

The problem involves determining the acceleration of a crate being pushed across a level floor, given the applied force, mass of the crate, and the coefficient of kinetic friction. The context is rooted in dynamics and frictional forces.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants explore the calculation of frictional force and question how to derive acceleration from the net force. There is a suggestion to visualize the forces acting on the crate through a diagram.

Discussion Status

Some participants have provided calculations for the frictional force and discussed the relationship between applied force and net force. There is ongoing exploration of how to connect these concepts to find acceleration.

Contextual Notes

The original poster has expressed uncertainty about finding acceleration despite calculating the frictional force. There is an emphasis on understanding the forces involved and their directions.

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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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