Answer :
To find the height of the mango tree, we can use the formula for potential energy. Potential energy is given by the equation:
[tex]\[ \text{Potential Energy} = \text{mass} \times \text{gravity} \times \text{height} \][/tex]
Where:
- Potential Energy is measured in joules (J).
- Mass is measured in kilograms (kg).
- Gravity is the acceleration due to gravity, which is approximately [tex]\(9.8 \, \text{m/s}^2\)[/tex] on Earth.
- Height is measured in meters (m).
In this problem, you are given:
- The potential energy of the mango is 245 joules.
- The mass of the fruit (mango) is 5 kg.
We need to find the height of the mango tree. To do this, we can rearrange the potential energy formula to solve for height [tex]\(h\)[/tex]:
[tex]\[ \text{Height} = \frac{\text{Potential Energy}}{\text{mass} \times \text{gravity}} \][/tex]
Substituting the given values into the equation, we get:
[tex]\[ \text{Height} = \frac{245}{5 \times 9.8} \][/tex]
Now, let's calculate:
[tex]\[ \text{Height} = \frac{245}{49} \][/tex]
[tex]\[ \text{Height} = 5 \][/tex]
Therefore, the height of the mango tree is 5 meters.
[tex]\[ \text{Potential Energy} = \text{mass} \times \text{gravity} \times \text{height} \][/tex]
Where:
- Potential Energy is measured in joules (J).
- Mass is measured in kilograms (kg).
- Gravity is the acceleration due to gravity, which is approximately [tex]\(9.8 \, \text{m/s}^2\)[/tex] on Earth.
- Height is measured in meters (m).
In this problem, you are given:
- The potential energy of the mango is 245 joules.
- The mass of the fruit (mango) is 5 kg.
We need to find the height of the mango tree. To do this, we can rearrange the potential energy formula to solve for height [tex]\(h\)[/tex]:
[tex]\[ \text{Height} = \frac{\text{Potential Energy}}{\text{mass} \times \text{gravity}} \][/tex]
Substituting the given values into the equation, we get:
[tex]\[ \text{Height} = \frac{245}{5 \times 9.8} \][/tex]
Now, let's calculate:
[tex]\[ \text{Height} = \frac{245}{49} \][/tex]
[tex]\[ \text{Height} = 5 \][/tex]
Therefore, the height of the mango tree is 5 meters.
