ranking gravitational potential energies\nrea...
ranking gravitational potential energies\nread each scenario and then answer the question.\nscenario a: a 6 - kg bucket is raised a distance of 6 m.\nscenario b: a 9 - kg bucket is raised a distance of 5 m.\nscenario c: a 12 - kg bucket is raised a distance of 4 m.\nscenario d: a 15 - kg bucket is raised a distance of 3 m.\nwhich scenario generates the most gravitational potential energy?
Answer
# Explanation:
## Step1: Recall gravitational - potential - energy formula
The formula for gravitational potential energy is $U = mgh$, where $m$ is the mass, $g$ is the acceleration due to gravity (a constant, and we can compare the values by just looking at $m\times h$ since $g$ is the same for all scenarios), $h$ is the height.
## Step2: Calculate $m\times h$ for Scenario A
For Scenario A, $m = 6\ kg$ and $h = 6\ m$, so $m\times h=6\times6 = 36\ kg\cdot m$.
## Step3: Calculate $m\times h$ for Scenario B
For Scenario B, $m = 9\ kg$ and $h = 5\ m$, so $m\times h=9\times5 = 45\ kg\cdot m$.
## Step4: Calculate $m\times h$ for Scenario C
For Scenario C, $m = 12\ kg$ and $h = 4\ m$, so $m\times h=12\times4 = 48\ kg\cdot m$.
## Step5: Calculate $m\times h$ for Scenario D
For Scenario D, $m = 15\ kg$ and $h = 3\ m$, so $m\times h=15\times3 = 45\ kg\cdot m$.
# Answer:
C