Final answer:
We can't determine the exact values of these forces.The values for these forces depend on specific details such as coefficients of friction, presence of a rope or cable, and the worker's angle and weight.
Step-by-step explanation:
In order to determine the given quantities for a construction worker standing on a sloped roof, we need to consider the forces acting on the worker. The relevant quantities are as follows:
- Static friction: This is the force between two surfaces in contact that prevents any relative motion between them as long as an external force is not exceeding the maximum limiting static friction force. In this case, static friction would be exerted on the construction worker, preventing them from sliding down the sloped roof.
- Normal force: This is the force exerted by a surface supporting an object perpendicular to the surface. In this case, the normal force would be the component of the worker's weight perpendicular to the sloped roof.
- Tension: Tension refers to the force transmitted through a string, rope, or cable when it is pulled tight by forces acting from opposite ends. In this case, tension would arise if the worker is connected to a rope or cable while standing on the roof.
- Kinetic friction: This is the force of friction between two surfaces in relative motion with respect to each other. In this case, kinetic friction would only be relevant if the worker starts moving down the sloped roof.
Given the weight of the worker, 860 N, and the angle of the sloped roof, 21°, we can calculate the normal force using trigonometry. The static friction force would depend on the coefficient of static friction between the worker's feet and the roof surface, while the kinetic friction force would depend on the coefficient of kinetic friction. The tension force would depend on whether the worker is connected to a rope or cable. Without more specific information, we can't determine the exact values of these forces.