(c) Under what condition(s) can we treat the acceleration due to gravity as a constant? Explain what we mean that the acceleration due to gravity is "constant" under this (or these) condition(s). (d) What are the two conditions for forces that are equal in magnitude and opposite in direction to be Newton's 3d law pairs?

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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### (c) Under what condition(s) can we treat the acceleration due to gravity as a constant? 
Explain what we mean that the acceleration due to gravity is “constant” under this (or these) condition(s).

#### Answer:
We can treat the acceleration due to gravity as a constant in a region where the gravitational field is uniform. This is typically approximated near the surface of the Earth, where the acceleration due to gravity is about \(9.8 \, \text{m/s}^2\). When we say the acceleration due to gravity is "constant," we mean that it does not change with time or position within the region of interest, allowing for simplified calculations in mechanics problems.

### (d) What are the two conditions for forces that are equal in magnitude and opposite in direction to be Newton’s 3rd law pairs?

#### Answer:
1. The forces must act on two different objects.
2. The forces must be of the same type (e.g., both are gravitational, both are electrical, etc.).

Newton’s third law states that for every action, there is an equal and opposite reaction; this means if object A exerts a force on object B, object B simultaneously exerts an equal and opposite force on object A.
Transcribed Image Text:### (c) Under what condition(s) can we treat the acceleration due to gravity as a constant? Explain what we mean that the acceleration due to gravity is “constant” under this (or these) condition(s). #### Answer: We can treat the acceleration due to gravity as a constant in a region where the gravitational field is uniform. This is typically approximated near the surface of the Earth, where the acceleration due to gravity is about \(9.8 \, \text{m/s}^2\). When we say the acceleration due to gravity is "constant," we mean that it does not change with time or position within the region of interest, allowing for simplified calculations in mechanics problems. ### (d) What are the two conditions for forces that are equal in magnitude and opposite in direction to be Newton’s 3rd law pairs? #### Answer: 1. The forces must act on two different objects. 2. The forces must be of the same type (e.g., both are gravitational, both are electrical, etc.). Newton’s third law states that for every action, there is an equal and opposite reaction; this means if object A exerts a force on object B, object B simultaneously exerts an equal and opposite force on object A.
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