A block moves up an incline of 45 inches at constant speed, because the action of a force of 15 N parallel to the incline. If the coefficient of kinetic friction is 0.3. Determine the weight of the box.

To determine the weight of the box, we need to analyze the forces acting on it.

1. First, let's calculate the force of friction. The formula for kinetic friction is given by:

F_friction = μ * F_normal

where μ is the coefficient of kinetic friction and F_normal is the normal force.

2. Since the block is moving at a constant speed, we know that the force of friction is equal in magnitude to the force parallel to the incline. Therefore, F_friction = 15 N.

F_friction = μ * F_normal
15 N = 0.3 * F_normal

3. Rearranging the equation, we can solve for the normal force:

F_normal = 15 N / 0.3
= 50 N

4. The normal force is equal in magnitude to the weight of the block, therefore:

Weight of the block = 50 N

Therefore, the weight of the block is 50 N.