8. the potential energy of an apple is 6.00 joules. the apple is 3.00 - meters high. what is the mass of the…

8. the potential energy of an apple is 6.00 joules. the apple is 3.00 - meters high. what is the mass of the apple?

8. the potential energy of an apple is 6.00 joules. the apple is 3.00 - meters high. what is the mass of the apple?

Answer

Explanation:

Step1: Recall potential - energy formula

The formula for gravitational potential energy is $U = mgh$, where $U$ is potential energy, $m$ is mass, $g$ is the acceleration due to gravity ($g= 9.8\ m/s^{2}$), and $h$ is height. We need to solve for $m$.

Step2: Rearrange the formula for mass

From $U = mgh$, we can get $m=\frac{U}{gh}$.

Step3: Substitute the given values

We know that $U = 6.00\ J$, $h = 3.00\ m$, and $g = 9.8\ m/s^{2}$. Substituting these values into the formula $m=\frac{U}{gh}$, we have $m=\frac{6.00}{9.8\times3.00}$.

Step4: Calculate the mass

$m=\frac{6.00}{29.4}\approx0.204\ kg$.

Answer:

$0.204\ kg$