Question

1. calculate the potential energy of a 5.2-kg object positioned 5.8 m above the ground.

Explanation:

Step1: Recall the formula for gravitational potential energy

The formula for gravitational potential energy (PE) is $PE = mgh$, where $m$ is the mass of the object, $g$ is the acceleration due to gravity (we use $g = 9.8\ m/s^2$), and $h$ is the height above the ground.

Step2: Identify the given values

We are given that $m = 5.2\ kg$, $h = 5.8\ m$, and $g = 9.8\ m/s^2$.

Step3: Substitute the values into the formula

Substitute $m = 5.2$, $g = 9.8$, and $h = 5.8$ into the formula $PE = mgh$. So we have $PE=(5.2\ kg)\times(9.8\ m/s^2)\times(5.8\ m)$.

Step4: Calculate the product

First, calculate $5.2\times9.8 = 50.96$. Then, multiply this result by $5.8$: $50.96\times5.8 = 295.568$.

Answer:

The potential energy of the object is $295.568\ J$ (joules).