Final answer:
To resolve a 30N weight on a 45-degree slope, calculate the parallel component using the sine function and the perpendicular component using the cosine function, which will be equal due to the 45-degree angle.
Step-by-step explanation:
To resolve the weight of an object sitting on a slope, we have to find the components of the weight that are parallel and perpendicular to the slope. The object in question has a weight of 30N and is on a slope that is inclined at 45 degrees. To determine the components, we will use trigonometry. The component of the weight parallel to the slope (W‖‖) is found using the sine function and the component perpendicular to the slope (Wℓ) is found using the cosine function.
Since the angle provided in the question is 45 degrees, the component of the weight parallel to the slope is W‖‖ = 30N * sin(45°) and the component of the weight perpendicular to the slope is Wℓ = 30N * cos(45°). Therefore, we find that both components have equal magnitudes because sin(45°) equals cos(45°), which simplifies the calculation as both are 30N * (√2/2).