Question

name
kinetic vs potential energy practice
part 1: this graph shows a ball rolling from a to g.

1. which letter shows the ball when it has the maximum kinetic energy?
2. which letter shows the ball when it has the maximum potential energy?
3. which letter shows the ball when it has the least potential energy?
4. which letter shows the ball when it has the least kinetic energy?
5. which letter shows the ball when it has just a little more kinetic energy than a?
6. which letter shows the ball when it has just a little more potential energy than letter c?
7. which letter shows the ball when it has just a little less potential energy than letter f?
8. which letter shows the ball when it has just a little more kinetic energy than letter g?
9. which letter shows the ball when it has just a little less kinetic energy than letter d?
10. which letter shows the ball when it has just a little less potential energy than letter c?
11. which sequence correctly shows a resulting increase in potential energy?

a. c, d, e, f b. b, f, e, c
c. d, e, b, f d. a, g, f, c

1. which sequence correctly shows a resulting increase in kinetic energy?

a. e, f, b, g b. b, f, e, c
c. d, e, b, f d. a, b, c, d

1. which sequence correctly shows a resulting decrease in kinetic energy?

a. e, f, b, g b. b, f, e, c
c. d, e, f, g d. a, g, f, c

1. which sequence correctly shows a resulting decrease in potential energy?

a. e, f, b, g b. a, b, c, d
c. d, e, b, f d. a, g, f, c

Explanation:

Step1: Relate height to potential energy

Potential energy ($PE = mgh$) depends on height ($h$). Higher position = more PE; lower = less PE.

Step2: Relate speed to kinetic energy

Kinetic energy ($KE = \frac{1}{2}mv^2$) depends on speed. Faster (lower height, converting PE to KE) = more KE; slower (higher height) = less KE.

Step3: Analyze each question

1. Max KE: Lowest point (D, most speed from PE conversion).
2. Max PE: Highest point (A, start position).
3. Least PE: Lowest point (D).
4. Least KE: Highest point (A, slowest speed).
5. More KE than A: Next lower point (B, slight speed increase).
6. More PE than C: Higher than C (e.g., B, but assume G is higher? Correction: Wait, A is highest, then G, then B/F, then C/E, then D. So more PE than C = B/F/G/A. If "just a little more", B or F.
7. Less PE than F: Lower than F (E, since E is below F).
8. More KE than G: Lower than G (F, since F is below G, more speed).
9. Less KE than D: Higher than D (C/E, since they are above D, slower).
10. Less PE than C: Lower than C (D, since D is lowest).
11. Increase PE: Moving upward (D→E→B→F: D lowest, E higher, B higher, F higher).
12. Increase KE: Moving downward (A→B→C→D: A highest, speed increases as height decreases).
13. Decrease KE: Moving upward (D→E→F→G: speed decreases as height increases).
14. Decrease PE: Moving downward (A→B→C→D: height decreases, PE decreases).

Answer:

1. D
2. A
3. D
4. A
5. B
6. B
7. E
8. F
9. C
10. D
11. C. D, E, B, F
12. B. A, B, C, D
13. C. D, E, F, G
14. B. A, B, C, D