Question

the object has a mass of 9.0 kg. what is the potential energy of the object at point a?
g = 10.00 m/s²
height (m) vs. time (s)
options: 540 j, 270 j, 27 j

Explanation:

Step1: Recall the formula for gravitational potential energy

The formula for gravitational potential energy is $PE = mgh$, where $m$ is the mass, $g$ is the acceleration due to gravity, and $h$ is the height.

Step2: Identify the values of m, g, and h

Given that $m = 9.0\ kg$, $g = 10.00\ m/s^2$, and from the graph, the height at point A is $h = 3\ m$.

Step3: Substitute the values into the formula

Substitute $m = 9.0\ kg$, $g = 10.00\ m/s^2$, and $h = 3\ m$ into $PE = mgh$:

$$ PE=(9.0\ kg)\times(10.00\ m/s^2)\times(3\ m) $$

$$ PE = 9.0\times10.00\times3\ J $$

$$ PE=270\ J $$

Answer:

270 J