Question

part a
consider the ball rolling down the ramp. which graph represents the change in potential and kinetic energy?
a graph a
b graph b
c graph c
d graph d

Explanation:

When a ball rolls down a ramp, potential energy (PE) decreases as height decreases, and kinetic energy (KE) increases as speed increases (due to conservation of mechanical energy, ignoring non - conservative forces like friction for this basic analysis). Looking at the graphs:

• In Graph C: The dashed line (PE) starts high and decreases, while the solid line (KE) starts low and increases, which matches the energy transformation (PE to KE) as the ball rolls down.
• In Graph D: The dashed and solid lines' trends are opposite to what we expect (PE should decrease, KE increase). For Graphs A and B (not fully shown, but from the context of the remaining graph C and D analysis), their trends don't match the PE - KE transformation during the ball rolling down the ramp.

Answer:

C. Graph C