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## Sagot :

[tex]\[ P.E = m \cdot g \cdot h \][/tex]

Where:

- [tex]\( m \)[/tex] is the mass in kilograms (kg)

- [tex]\( g \)[/tex] is the acceleration due to gravity, which is [tex]\( 9.8 \, \text{m/s}^2 \)[/tex]

- [tex]\( h \)[/tex] is the height in meters (m)

### Step-by-Step Solution:

1.

**Identify the values given:**

- [tex]\( g = 9.8 \, \text{m/s}^2 \)[/tex]

- [tex]\( h = 500 \, \text{meters} \)[/tex]

- Masses [tex]\( m = 3 \, \text{kg} \)[/tex], [tex]\( 6 \, \text{kg} \)[/tex], and [tex]\( 9 \, \text{kg} \)[/tex]

2.

**Calculate the gravitational potential energy for each mass:**

- For [tex]\( m = 3 \, \text{kg} \)[/tex]:

[tex]\[ P.E_{\text{3kg}} = 3 \cdot 9.8 \cdot 500 \][/tex]

[tex]\[ P.E_{\text{3kg}} = 14700 \, \text{J} \][/tex]

To convert joules (J) to kilojoules (kJ), we divide by 1000:

[tex]\[ P.E_{\text{3kg}} = \frac{14700}{1000} = 14.7 \, \text{kJ} \][/tex]

- For [tex]\( m = 6 \, \text{kg} \)[/tex]:

[tex]\[ P.E_{\text{6kg}} = 6 \cdot 9.8 \cdot 500 \][/tex]

[tex]\[ P.E_{\text{6kg}} = 29400 \, \text{J} \][/tex]

To convert joules (J) to kilojoules (kJ), we divide by 1000:

[tex]\[ P.E_{\text{6kg}} = \frac{29400}{1000} = 29.4 \, \text{kJ} \][/tex]

- For [tex]\( m = 9 \, \text{kg} \)[/tex]:

[tex]\[ P.E_{\text{9kg}} = 9 \cdot 9.8 \cdot 500 \][/tex]

[tex]\[ P.E_{\text{9kg}} = 44100 \, \text{J} \][/tex]

To convert joules (J) to kilojoules (kJ), we divide by 1000:

[tex]\[ P.E_{\text{9kg}} = \frac{44100}{1000} = 44.1 \, \text{kJ} \][/tex]

### Summary:

- Gravitational potential energy for [tex]\( 3 \, \text{kg} \)[/tex] mass is [tex]\( 14.7 \, \text{kJ} \)[/tex].

- Gravitational potential energy for [tex]\( 6 \, \text{kg} \)[/tex] mass is [tex]\( 29.4 \, \text{kJ} \)[/tex].

- Gravitational potential energy for [tex]\( 9 \, \text{kg} \)[/tex] mass is [tex]\( 44.1 \, \text{kJ} \)[/tex].

Thus:

- 3 kg: [tex]\( 14.7 \, \text{kJ} \)[/tex]

- 6 kg: [tex]\( 29.4 \, \text{kJ} \)[/tex]

- 9 kg: [tex]\( 44.1 \, \text{kJ} \)[/tex]