Final answer:
The perpendicular component of weight for a 25.5 kg object on a 25° incline is found by calculating 25.5 kg × 9.8 m/s² × cos(25°), which approximates to 235.2 N. The closest provided answer to this calculation is 23.2 N (option c).
Step-by-step explanation:
The component of weight perpendicular to an inclined plane can be found by multiplying the weight of the object by the cosine of the angle of the incline. For an object with a mass of 25.5 kg and an incline angle of 25.0°, the weight (w) is the product of the mass (m) and the acceleration due to gravity (g), which is 9.8 m/s². Therefore, the weight w is 25.5 kg × 9.8 m/s². The component of this weight perpendicular to the inclined plane (W₁) is then w cos(25°). Calculating this gives W₁ = 25.5 kg × 9.8 m/s² × cos(25°), which yields a result of approximately 235.2 N. Comparing this to the provided options, the closest value to the actual calculated result would have to be rounded down to approximation, which is 23.2 N (option c).