91Ó°ÊÓ

Gravitational force is the attractive force exerted by the Earth on objects, pulling them towards its center. Understanding this force is crucial in physics, as it's a constant force that affects everything on our planet. To calculate gravitational force, we use the equation: \( F_g = mg \) where \( m \) is the mass of the object and \( g \) is the acceleration due to gravity, roughly \( 9.8 \text{ m/s}^2 \). In our exercise, the block's mass (\( m \)) is 15.0 kg. Plugging the values in, we get: \[ F_g = 15.0 \text{ kg} \times 9.8 \text{ m/s}^2 = 147 \text{ N} \] This 147 N force is the gravitational pull that the Earth exerts on the block. Understanding this concept is key to figuring out other forces acting on the block.

An applied force is any force that is applied to an object by a person or another object. In the given problem, a 50.0 N force is applied vertically downward on the block. This applied force increases the overall force acting on the block, adding to the force due to gravity. In simpler terms, it's like adding extra weight to the block.

When calculating the total downward force on the block due to both gravity and the applied force, we add these two forces together. This leads us to the next section on total downward force.

The total downward force on an object is the sum of all forces acting downward. In our case, it includes both the gravitational force and the applied force. The formula is: \[ F_{total} = F_g + F_{applied} \] For the block:

• Gravitational force (\( F_g \)) = 147 N
• Applied force (\( F_{applied} \)) = 50.0 N

Adding these together, we get: \[ F_{total} = 147 \text{ N} + 50.0 \text{ N} = 197 \text{ N} \]

This total downward force (197 N) is the force exerted by the block on the table, ensuring the table supports this full weight. Grasping the concept of total downward force helps you understand how multiple forces interact and add up in the real world, affecting the stability and balance of objects.