A Vehicle Pushed Up a Hill?

📌 CONCEPT: When an object is moving at a constant speed up an inclined surface, the force of friction opposing the motion is equal to the component of the applied force that is parallel to the surface.

📐 RULE / FORMULA: F_f = F_p × sin(ξ), where F_f is the force of friction, F_p is the applied force (200 N in this case), and ξ is the angle of the incline (10°).

💡 WORKED EXAMPLE: To find the force of friction, we can substitute the values into the formula: F_f = 200 N × sin(10°) = 200 N × 0.1736 = 34.72 N.

⚠️ COMMON MISTAKE: Students often forget to use the correct angle in the formula, or they calculate the force of friction without considering the component of the applied force parallel to the surface.