Question

6 this graph shows different points on the path of a ball rolling down and then up a hill. order the points from greatest to least potential energy. greatest potential energy

Explanation:

Step1: Recall PE formula

Potential Energy (PE) formula: $PE = mgh$, where $m$ (mass), $g$ (gravity) are constant for the same ball. So PE depends on height ($h$). Higher $h$ → greater PE.

Step2: Identify heights

• Point A: 10 m
• Point G: 10 m (same as A)
• Point B: Between 5 - 10 m (say ~7.5 m)
• Point F: Between 5 - 10 m (say ~7.5 m, but less than B? Wait, no—wait, A and G are at 10 m. Then B is above C, F above E, D at 0. Wait, recheck: A (10m), G (10m), B (let's see, the y-axis: 10,5,0. So A is at 10, G at 10. Then B is below A, above C. Let's list heights:

A: 10m, G:10m, B: let's say 7m, F: maybe 6m? Wait, no, the graph: A is top left (10m), then B is lower on the left slope, C lower, D at bottom (0m), E on right slope, F above E, G at top right (10m). So heights: A=10, G=10, B (let's check y-lines: 10, then a line, then B, then another line, then C, then 5m line, then E, F, then G at 10. Wait, maybe A and G are at 10m (same height). Then B is above C, F above E, D at 0. So order by height (h):

A (10m) = G (10m) > B > F > C > E > D (0m). Wait, but need to check the positions. Let's assume:

• A: 10m
• G: 10m (same as A)
• B: let's say 8m (between 10 and 5)
• F: maybe 7m (between B's height and 5)
• C: 6m (between F and 5)
• E: 4m (below 5)
• D: 0m

So PE is proportional to h (since m and g constant). So order from greatest to least PE:

A (10m) and G (10m) have same PE (greatest), then B, then F, then C, then E, then D (least).

Wait, but the problem says "order the points". Let's list the points: A, B, C, D, E, F, G.

Heights:

• A: 10m
• G: 10m
• B: let's see the vertical lines: A is at 10, then B is on the left slope, below A, above C. Let's check the y-axis: 10, 5, 0. So A is at 10, G at 10. B is between 10 and 5 (maybe 8m), F is on the right slope, above E, below G (maybe 7m), C is between B and 5 (maybe 6m), E is between C and D (maybe 3m), D is at 0.

So PE ∝ h, so order by h (descending):

A (10) = G (10) > B > F > C > E > D (0)

So the order from greatest to least potential energy is A, G, B, F, C, E, D.

Answer:

A, G, B, F, C, E, D (with A and G having the greatest potential energy, followed by B, F, C, E, and D having the least)