factor affect us? Let’s follow three familiar steps:
- Ask yourself how the system will move: If the force of gravity is strong enough to
overcome the force of friction, the box will accelerate down the plane. However, because
there is a force acting against the box’s descent, we should expect it to slide with a lesser
velocity than it did in the example of the frictionless plane. - Choose a coordinate system: There’s no reason not to hold onto the co-ordinate system
we used before: the positive x direction is down the slope, and the positive y direction is
upward, perpendicular to the slope. - Draw free-body diagrams: The free-body diagram will be identical to the one we drew
in the example of the frictionless plane, except we will have a vector for the force of
friction in the negative x direction.
Now let’s ask some questions about the motion of the box.
- .What is the force of kinetic friction acting on the box?
- .What is the acceleration of the box?
- .What is the work done on the box by the force of kinetic friction?
WHAT IS THE FORCE OF KINETIC FRICTION ACTING ON THE
BOX?
The normal force acting on the box is 86. 6 N, exactly the same as for the frictionless inclined
plane. The force of kinetic friction is defined as , so plugging in the appropriate values
for and N:
Remember, though, that the force of friction is exerted in the negative x direction, so the correct
answer is –43. 3 N.
WHAT IS THE ACCELERATION OF THE BOX?
The net force acting on the box is the difference between the downhill gravitational force and the