When a horizontal force of 350 is applied to a 86.0 box, the box slides on a level floor, opposed by a force of kinetic friction of 130 .What is the magnitude of the acceleration of the box?
To find the magnitude of the acceleration of the box, we can use Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.
The net force acting on the box is the difference between the applied force and the force of kinetic friction. In this case, the applied force is 350 N and the force of kinetic friction is 130 N. The net force can be calculated as follows:
Net force = Applied force - Force of kinetic friction
Net force = 350 N - 130 N
Net force = 220 N
Next, we need to determine the mass of the box. Since the mass is not given directly, we can use the equation:
Force = mass x acceleration
Rearranging the equation to solve for mass, we have:
Mass = Force / acceleration
In this case, we know the net force is 220 N and we want to find the acceleration, so we can rewrite the equation as:
Mass = 220 N / acceleration
Now, we can substitute the given values into the equation. Plugging in the known values:
Mass = 220 N / acceleration
We can now solve for the acceleration. Rearranging the equation:
Acceleration = 220 N / Mass
Since the mass of the box is not given, we cannot calculate the acceleration with the information provided.