To calculate the work required to push a 100 kg mass up an inclined plane at a 20-degree angle with a coefficient of friction of 0.20 over a distance of 2.0 m, one must first determine the forces acting on the mass. The gravitational force component acting parallel to the incline is calculated using the formula F = mg sin(θ), where m is the mass, g is the acceleration due to gravity (9.81 m/s²), and θ is the angle of inclination. The frictional force is given by F_friction = μN, where μ is the coefficient of friction and N is the normal force. The total work done is the sum of the work against gravity and friction over the displacement.
PREREQUISITESPhysics students, engineers, and anyone interested in mechanics and the application of forces on inclined planes.