Frictional forces of pushing a box

[hsestudent]

Frictional forces [SOLVED]

Homework Statement

A stockroom worker pushes a box with mass 11,2 kilograms on a horizontal surface with a constant speed of 3.5 m/s. The coeffisient of kinetic fricion between the box and the surface is 0.2.

In a) i had to find the force that the worker must apply to maintain the motion.

b) If the force calculated in part a) is removed, how far does the box slide before coming to rest.

Homework Equations

The Attempt at a Solution

I am pretty sure that I solved task a). I found the frictionforce to be 22N, and since the box is having a constant speed, the sum of forces in x-direction have to be zero.
Force = Frictionforce in this case.

But i really need some tips on the B part. Anyone?

Thanks!

 

[Doc Al]

Once you remove the applied force of the push, the net force is no longer zero: You have the unbalanced friction force acting to slow the box down. Find the acceleration and use kinematics to find the distance. Or use energy methods.

 

[||spoon||]

Well the force that was being applied only acted to keep the box moving at 3.5m/s so when it is removed the box will start deccelerating from this initial speed.

You need to find the acceleration of the box due to the frictional force, which is dependent on the boxes mass. With this you can determine the distance the box travels.

 

[hsestudent]

Thanks for fast replies:) Ok, I tried something like that, but I didn't come out with an correct answer. When the force is removed I have:

Force-Friction = ma

0 - Friction = ma

a = Friction / m = -1.96m/s^2

But how do I find the distance now?

 

[Doc Al]

It's a kinematics problem now. Accelerated motion.

 

[hsestudent]

Thanks

It's a kinematics problem now. Accelerated motion.

I did of course make a mess of things with the sign. Got the distance to be 3,1 meters after finding the time 1.78s.

 

[Doc Al]

Sounds good.