Final answer:
To calculate the force required to move a mass at constant velocity on an incline, the gravitational force component along the incline and the frictional force must be balanced. Using the mass, angle of incline, coefficient of friction, and acceleration due to gravity, the force is computed but does not match the provided options.
Step-by-step explanation:
To find the force needed to pull a 30 kg mass at constant velocity on a rough incline at a 40-degree angle with a coefficient of friction (μ) of 0.3, we can use the following physics concepts. When an object moves at a constant velocity, it means there is no net force acting on the object, and thus the pulling force must balance out the frictional force and the component of gravitational force along the incline.
The gravitational force component along the incline is calculated as m × g × sin(θ), where m is the mass (30 kg), g is the acceleration due to gravity (9.8 m/s²), and θ is the angle of the incline (40 degrees). The frictional force is the product of the normal force and the coefficient of friction, where the normal force on an incline is m × g × cos(θ). Combining both forces, we calculate the total force needed to maintain constant velocity.
Calculating the values with the given mass, gravity, angle, and coefficient of friction provides the pulling force needed. After performing the calculations, the total force required does not exactly match any of the provided options, indicating either a miscalculation or incorrect options provided.