read each scenario and then answer the question. scenario a: a 6 - kg bucket is raised a distance of 6 m…

Explanation:

Step1: Recall potential - energy formula

The formula for gravitational potential energy is $U = mgh$, where $m$ is the mass, $g$ is the acceleration due to gravity ($g= 9.8\ m/s^{2}$), and $h$ is the height. For comparison purposes, we can ignore $g$ since it is a constant. So we just need to calculate $m\times h$ for each scenario.

Step2: Calculate for Scenario A

$m_A\times h_A=6\ kg\times6\ m = 36\ kg\cdot m$

Step3: Calculate for Scenario B

$m_B\times h_B=9\ kg\times5\ m = 45\ kg\cdot m$

Step4: Calculate for Scenario C

$m_C\times h_C=12\ kg\times4\ m = 48\ kg\cdot m$

Step5: Calculate for Scenario D

$m_D\times h_D=15\ kg\times3\ m = 45\ kg\cdot m$

Answer:

Scenario C