We're asked for the x-coordinate (position) where an object acted on by friction comes to rest and the time it takes it takes to come to rest.
This is a Friction type of problem with kinematics. When we're tackling a problem that has forces and kinematics, we'll follow these steps:
Remember that we calculate kinetic friction using
The four UAM (kinematics) equations are:
A box is sliding with a constant speed of 3.80 m/s in the +x-direction on a horizontal, frictionless surface. At x = 0 the box encounters a rough patch of the surface, and then the surface becomes even rougher. Between x = 0 and x = 2.00 m, the coefficient of kinetic friction between the box and the surface is 0.200; between x = 2.00 m and x = 4.00 m, it is 0.400.
(a) What is the x-coordinate of the point where the box comes to rest?
(b) How much time does it take the box to come to rest after it first encounters the rough patch at x = 0?
Frequently Asked Questions
What scientific concept do you need to know in order to solve this problem?
Our tutors have indicated that to solve this problem you will need to apply the Stacked Blocks concept. You can view video lessons to learn Stacked Blocks. Or if you need more Stacked Blocks practice, you can also practice Stacked Blocks practice problems.