Which of the following statements is true if a person pushes with a force of 300 N on a rock and the rock does not move?

When a force is applied to an object but there is no movement, it is important to understand that work, in the physical sense, requires both force and displacement. The formula for work done is given by the equation:

[ \text{Work} = \text{Force} \times \text{Displacement} \times \cos(\theta) ]

In this equation, the displacement refers to how far the object moves as a result of the applied force. The angle (\theta) is the angle between the force and the direction of motion.

In the scenario provided, even though a force of 300 N is applied to the rock, since the rock does not move, the displacement is zero. When you substitute this into the work equation, you get:

[ \text{Work} = 300 , \text{N} \times 0 , \text{m} \times \cos(\theta) = 0 , \text{J} ]

Since work is defined as a product of force and displacement, and any multiplication by zero results in zero, no work is done when an object does not move, regardless of the magnitude of the force applied. Therefore, the statement that follows this