select the correct answer.\nthe value of gravitational acceleration of a body on earth is 9.8…

select the correct answer.\nthe value of gravitational acceleration of a body on earth is 9.8 meters/second². the gravitational potential energy for a 1.00 kilogram object is found to be 12.5 joules. how high is this object above the ground level, where ke = 0?\na. 1.3 meters\nb. 3.5 meters\nc. 2.0 meters\nd. 5.6 meters\ne. 7.9 meters

select the correct answer.\nthe value of gravitational acceleration of a body on earth is 9.8 meters/second². the gravitational potential energy for a 1.00 kilogram object is found to be 12.5 joules. how high is this object above the ground level, where ke = 0?\na. 1.3 meters\nb. 3.5 meters\nc. 2.0 meters\nd. 5.6 meters\ne. 7.9 meters

Answer

Explanation:

Step1: Recall potential - energy formula

The formula for gravitational potential energy is $U = mgh$, where $U$ is the potential energy, $m$ is the mass, $g$ is the gravitational acceleration, and $h$ is the height. We need to solve for $h$, so we can re - arrange the formula to $h=\frac{U}{mg}$.

Step2: Substitute given values

Given that $U = 12.5\ J$, $m = 1.00\ kg$, and $g=9.8\ m/s^{2}$. Substitute these values into the formula: $h=\frac{12.5\ J}{1.00\ kg\times9.8\ m/s^{2}}$. Calculate $\frac{12.5}{1.00\times9.8}=\frac{12.5}{9.8}\approx1.3\ m$.

Answer:

A. 1.3 meters