Newton's 2nd And 3rd Laws

When the net force acting on a cart is doubled, according to Newton's second law of motion (F = ma), the acceleration of the cart also doubles. This is because acceleration is directly proportional to the net force applied. Therefore, if the force is doubled, the acceleration will also double.

When the load is dumped into the cart and its mass is doubled, the net force acting on the cart remains the same. According to Newton's second law of motion (F=ma), if the net force remains constant and the mass increases, the acceleration will decrease. Therefore, the acceleration is reduced by half when the mass of the cart is doubled.

The weight of a person is determined by the force of gravity acting on their mass. Whether a person is standing up or lying down does not affect their mass, therefore their weight remains the same in both positions. The force of gravity acts uniformly on all objects, regardless of their position or orientation. Therefore, a person's weight does not change based on their body position.

The table exerts a force of 24 N on the ball. This means that the table is pushing or supporting the ball with a force of 24 N.

The ball exerts a force of 24 N upon the table. This means that the ball is applying a force of 24 N in the downward direction onto the table's surface. This force is a result of the ball's weight, which is the force exerted by gravity on the ball due to its mass. The weight of an object is equal to the mass of the object multiplied by the acceleration due to gravity. Therefore, in this case, the ball's weight is 24 N.

When a person is standing up, their weight is distributed over a smaller surface area, resulting in more pressure on the ground. This is because the force of their weight is concentrated on their feet, causing more compression on the ground beneath them. In contrast, when a person is lying down, their weight is spread out over a larger surface area, reducing the pressure on the ground. Therefore, a person standing up produces more pressure on the ground compared to a person lying down.

When the ball hits the table, according to Newton's third law of motion, the force exerted by the ball on the table is equal in magnitude but opposite in direction to the force exerted by the table on the ball. Since the mass of the ball is 1.0 kilogram and its acceleration is -24 meters per second squared, we can use Newton's second law of motion (F = m*a) to find the force exerted by the ball on the table, which is -24 N. Since the mass of the table is 5.0 kilograms, we can use the same formula to find the acceleration of the table, which is -4.8 m/ss.