Final answer:
The static friction force for a mountain goat standing on a slope can be determined by the product of the coefficient of static friction and the normal force. Additional details such as the slope's angle and the specific surface conditions are required for an exact calculation.
Step-by-step explanation:
The question concerns determining the static friction force acting on a mountain goat that weighs 700 N on a slope, which relates to the physics of friction on inclined planes. To find the static friction force, one must consider the normal force perpendicular to the slope, as the static friction force will oppose any possible motion parallel to the slope.
In general, the static friction force can be determined if the slope (angle) and the coefficient of static friction (μs) between the goat's feet and the slope are known. The static friction force is given by Ffriction = μs×N, where N is the normal force. Since the actual scenario of the mountain goat isn't detailed with a specific angle or surface condition, we'd need that information to provide an exact numeric answer. However, we can say that the maximum static friction force will be less than or equal to the goat's weight component perpendicular to the slope.
It is important to note that static friction adjusts to prevent motion up to a maximum value, which is this product of the coefficient of static friction and the normal force.