What is the magnitude of the frictional force acting on the crate?

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SUMMARY

The magnitude of the frictional force acting on a 50 kg crate, pushed with a horizontal force of 150 N and accelerating at 1.2 m/s², can be calculated using Newton's second law. The net force (fn) is determined by the equation fn = ma, resulting in fn = 60 N. By applying the equation fn = 150 N - f, the frictional force (f) is found to be 90 N. This analysis confirms that the frictional force counteracts the applied force to maintain constant acceleration.

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Homework Statement



A crate with a total mass of 50 kg is initially at rest on a level floor. A horizontal force of 150N pushes the crate across the floor at a constant acceleration of 1.2m/s2. What is the magnitude of the frictional force acting on the crate?

Homework Equations





The Attempt at a Solution


So this question seems so basic but I know I'm doing it wrong. All i did was plugged the numbers into the F=\muN formulas and got \mu= .31. But in using that formula I am not even taking into account the acceleration and I don't know what to use in order to take it into account?! Someone please explain
 
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It's just F=ma on the crate, but remembering that there are 2 forces acting here; the 150N and the friction.
 
forces.gif
 
ThyQuotidian said:
forces.gif

It means that if 50N force is foreword,then frictional force must act backward.
let net force be fn.
so according to the free body diagram,
fn=150-f (say frictional force be f) ...1

fn=ma=50*1.2
Now from this you'll get fn & from equation 1, you'll get f.
 

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