It is 10.20 m from the ground.
Step-by-step explanation:
Given:
m = 0.5 kg
PE = 50 J
We know that the Potential energy is calculated by the formula:
![P. E = m * g * h](https://img.qammunity.org/2021/formulas/physics/high-school/uopzrijaeflubc1a6dofipn4ano2348tnw.png)
where m is the is mass in kg; g is acceleration due to gravity which is 9.8 m/s and h is height in meters.
PE is the Potential Energy.
Potential Energy is the amount of energy stored when an object is stationary.
Here, if we substitute the values in the formula, we get
![P. E = m * g * h](https://img.qammunity.org/2021/formulas/physics/high-school/uopzrijaeflubc1a6dofipn4ano2348tnw.png)
50 = 0.5 × 9.8 × h
50 = 4.9 × h
![h = \frac {50} {4.9}](https://img.qammunity.org/2021/formulas/physics/high-school/jd9dqkahnqn3hohqm6s3snjbcifn4jp0w9.png)
h = 10.20 m