The formula to calculate the reaction force acting on an object on an incline is:
\[ F = m \cdot g \cdot \cos(x) \]
Where:
A reaction force is defined as the force that occurs in response to an active force. According to Newton’s third law of motion, every force has an equal and opposite reaction force. This principle is fundamental in understanding how forces interact in various physical systems.
Let's consider an example:
Using the formula to calculate the reaction force:
\[ F = 10 \cdot 9.81 \cdot \cos(30^\circ) \approx 84.87 \text{ N} \]
This means that the reaction force for this scenario is approximately 84.87 N.
