If the coefficient of kinetic friction is 0.25, how much work do you do when you slide a 45 kg box at constant speed across a 5.8m -wide room?
To determine the amount of work done when sliding a box at constant speed across a room, we need to consider several factors: the force applied, the displacement of the box, and the coefficient of kinetic friction.
Let's break it down step by step:
1. First, we need to calculate the force of friction acting on the box. The force of friction can be determined using the formula:
Frictional force = coefficient of kinetic friction * normal force
The normal force is equal to the weight of the box, which can be calculated as:
Normal force = mass * acceleration due to gravity
Normal force = 45 kg * 9.8 m/s²
2. Next, we plug in the coefficient of kinetic friction (given as 0.25) and the calculated normal force into the frictional force formula:
Frictional force = 0.25 * (45 kg * 9.8 m/s²)
3. The work done against friction can be calculated as the product of the frictional force and the displacement of the box:
Work = frictional force * displacement
Remember that the displacement of the box is given as 5.8 m.
By following these steps, we can determine the amount of work done when sliding the box at a constant speed across the room.