if the kinetic friction on a sliding box (9.5kg) of books was 23.5,what was the total force exerted to slide the box
To find the total force exerted to slide the box, we need to consider the force of kinetic friction. Here's how you can calculate it:
1. Identify the variables given:
- Mass of the box (m) = 9.5 kg
- Kinetic friction (f) = 23.5 N
2. Recall Newton's second law of motion:
Force (F) = mass (m) x acceleration (a)
3. The box is sliding, which means it is experiencing a constant velocity and no acceleration. Therefore, the net force acting on the box must be zero.
4. However, the kinetic friction is opposing the motion, so it creates a force in the opposite direction of the applied force. Mathematically, it can be stated as:
f = -F (since the direction of kinetic friction is opposite to the applied force)
5. Rearrange the equation to solve for the applied force:
F = -f
6. Substitute the values:
F = -23.5 N
Therefore, the total force exerted to slide the box is -23.5 N. The negative sign indicates that the force is acting in the opposite direction to the applied force (due to friction).