Final answer:
To determine the magnitudes of the forces on the ladder at the top and bottom, we need to consider the weight of the ladder, the force exerted by the person, the normal reaction force, and the friction force.
Step-by-step explanation:
To determine the magnitudes of the forces on the ladder at the top and bottom, we need to consider the forces acting on the ladder. At the top of the ladder, we have the weight of the ladder and the force exerted by the person. At the bottom of the ladder, we have the normal reaction force and the friction force. The weight of the ladder is given by the equation weight = mass x acceleration due to gravity. The force exerted by the person can be calculated using Newton's second law, force = mass x acceleration. The normal reaction force is equal in magnitude and opposite in direction to the weight of the ladder, and the friction force is given by friction force = coefficient of friction x normal reaction force.