A 54 kg box is being pushed a distance of 7.0 m across the floor by a force P whose magnitude is 153 N. The force P is parallel to the displacement of the box. The coefficient of kinetic friction is 0.25. Determine the work done on the box by frictonal force.
work is just force*distance.
thats applied force. looking for work done on the box by frictional force?
To determine the work done on the box by the frictional force, we need to calculate the force of friction and then multiply it by the displacement of the box.
The force of friction can be determined using the formula:
Frictional force = coefficient of kinetic friction * Normal force
The normal force is the force exerted by the surface on the box perpendicular to the surface. In this case, since the box is on a horizontal surface and there is no vertical acceleration, the normal force is equal to the weight of the box. The weight can be calculated by multiplying the mass of the box by the acceleration due to gravity:
Weight = mass * acceleration due to gravity
We can now substitute the given values into the formula to calculate the weight and the frictional force:
Weight = 54 kg * 9.8 m/s^2 = 529.2 N
Frictional force = 0.25 * 529.2 N = 132.3 N
Now that we have the frictional force, we can calculate the work done:
Work = frictional force * displacement
Work = 132.3 N * 7.0 m = 926.1 Joules
Therefore, the work done on the box by the frictional force is 926.1 Joules.