You are trying to push a 90-kg sofa 4 meters to the other side of the hall. You use a steady horizontal force of 600 N. The coefficient of kinetic friction between the sofa and floor is 0.6. Find the magnitude/direction of the total force on the sofa, magnitude/direction of the acceleration of the sofa's acceleration, and how long it would take to push the sofa four feet.

Question

a1234 · Answer

I found the frictional force to be 530 Newtons. How do I do the rest? Below is an illustration of the given diagram.

a1234 · Answer

@mathmale

akshvas · Answer

You've figured out the right direction of the frictional force too right?

akshvas · Answer

The acceleration would be (F-(mu*m*g)) /m in the direction of the external force (600N)

akshvas · Answer

Initially the sofa was at rest so initial velocity is zero, 
Displacement to be covered is 4 feet 
And acceleration is now known too
Use the second question of motion to find the time taken

a1234 · Answer

But what is the total force?

akshvas · Answer

600N -  the frictional force
This is the force which drives the sofa forward

akshvas · Answer

I meant 600 N minus the frictional force

518nad · Answer

its 90 pounds not kg

akshvas · Answer

Yes, do the appropriate conversions to get the accurate answer

a1234 · Answer

Pounds...sorry

But the frictional force is 530 N

518nad · Answer

that sounds too big, i think theres some mistake in conversion

518nad · Answer

how many kg is 90lb

a1234 · Answer

No need for conversion...it's only in pounds

518nad · Answer

oh my gudness

a1234 · Answer

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