Final answer:
A mountain exerts a greater gravitational force than a house due to its significantly larger mass. Tasks include calculating the mountain's mass using gravitational laws, comparing it to Earth's mass, and critiquing any unreasonable claims or premises regarding the strength of the mountain's gravitational influence.
Step-by-step explanation:
A student has asked to explain why a mountain has greater gravitational force on it than our house does. This is because gravity is a property of mass, and larger masses exert a stronger gravitational pull. Since a mountain has much more mass than a house, it exerts a more significant force of gravity.
Considering the question's details, let's attempt the following tasks:
- Calculate the mass of the mountain: This could be done using Newton's law of gravitation if the distance to the mountain and the force exerted on the person are known.
- Compare the mountain's mass with that of Earth: This comparison will highlight the difference in magnitude between geological features and the entire planet.
- Identify unreasonable results: A claim that a mountain exerts a gravitational force equal to 2.00% of a person's weight at a distance of 10.0 km could be unrealistic due to the mass and distance involved.
- Determine unreasonable premises: Assuming a mountain could exert such a significant gravitational pull at a considerable distance may be inconsistent with scientific understanding of gravitational interactions.