Final answer:
The normal force on a box resting on an inclined plane can be calculated using the formula Normal force = Weight * cos(angle). In this case, the normal force is approximately 531.76 N.
Step-by-step explanation:
The normal force is the force exerted by a surface to support the weight of an object resting on it. On an inclined plane, the normal force is not equal to the weight of the object due to the component of the weight that acts parallel to the inclined plane.
To calculate the normal force, we need to find the component of the weight perpendicular to the plane. The formula is:
Normal force = Weight * cos(angle)
In this case, the weight of the box is 54.7 kg * 9.8 m/s² = 536.06 N, and the angle is 5 degrees. Plugging these values into the formula, we get:
Normal force = 536.06 N * cos(5°) ≈ 531.76 N