10. Can the following be reasonably modeled as a central force with constant r? a. A ball on a string is swung in a horizontal circle. b. A ball on a string is swung in a vertical circle. c. A satellite orbits the earth. d. A satellite spirals into a black hole. e. A car makes a U turn at constant speed. f. A child rides on a merry-go-round. g. An ant rides on a slowing turntable.

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### Physics Question: Modeling Central Forces

**Question 10**: Can the following be reasonably modeled as a central force with constant radius \( r \)? Answer Yes or No.

a. A ball on a string is swung in a horizontal circle.

b. A ball on a string is swung in a vertical circle.

c. A satellite orbits the Earth.

d. A satellite spirals into a black hole.

e. A car makes a U-turn at constant speed.

f. A child rides on a merry-go-round.

g. An ant rides on a slowing turntable.

### Diagram Explanation:
The image contains two diagrams. The first appears to be a circle with several equally spaced radial lines extending outward, possibly illustrating uniform circular motion. The second diagram looks like a smaller circle with an arrow indicating direction, possibly showing rotational motion or the effect of radial forces. 

### Instructions for Students:
- Assess each scenario to determine if it involves a central force acting with a constant radius.
- Consider the effects of gravity, tension, and other forces in each scenario.
- Reflect on how changes in velocity or trajectory influence the constancy of the radius.
Transcribed Image Text:### Physics Question: Modeling Central Forces **Question 10**: Can the following be reasonably modeled as a central force with constant radius \( r \)? Answer Yes or No. a. A ball on a string is swung in a horizontal circle. b. A ball on a string is swung in a vertical circle. c. A satellite orbits the Earth. d. A satellite spirals into a black hole. e. A car makes a U-turn at constant speed. f. A child rides on a merry-go-round. g. An ant rides on a slowing turntable. ### Diagram Explanation: The image contains two diagrams. The first appears to be a circle with several equally spaced radial lines extending outward, possibly illustrating uniform circular motion. The second diagram looks like a smaller circle with an arrow indicating direction, possibly showing rotational motion or the effect of radial forces. ### Instructions for Students: - Assess each scenario to determine if it involves a central force acting with a constant radius. - Consider the effects of gravity, tension, and other forces in each scenario. - Reflect on how changes in velocity or trajectory influence the constancy of the radius.
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