Final answer:
To find the maximum horizontal force that can be exerted on the sled before the penguin begins to slide off, we use the formula F_friction = coefficient of kinetic friction * normal force.
Step-by-step explanation:
To find the maximum horizontal force that can be exerted on the sled before the penguin begins to slide off, we need to consider the forces acting on the sled.
The force of friction between the sled and the snow can be calculated using the formula F_friction = coefficient of kinetic friction × normal force.
The normal force is the weight of the sled plus the weight of the penguin, which can be calculated as normal force = weight of sled + weight of penguin = m_sled × g + m_penguin × g.
Substituting the given values, we have F_friction = 0.100 × (60.0 N + 70.0 N).
Therefore, the maximum horizontal force that can be exerted on the sled before the penguin begins to slide off is 13.0 N.