Find the energy possessed by a stationary object at a height of 6 m and with a mass of 50 kg. `(g = 10m//s^2)`

Options

A. 3000 J
B. `3xx 10^4 J`
C. 300 J
D. 30 J

Answer

To find the energy possessed by a stationary object at a height of 6 m with a mass of 50 kg, we will calculate the potential energy using the formula:

### Step-by-Step Solution:

1. **Understand the Concept of Potential Energy**:
- Potential energy (PE) is the energy possessed by an object due to its position or height above the ground. For an object at height \( h \), the potential energy can be calculated using the formula:
\[ PE = mgh \]
where:
- \( m \) = mass of the object (in kg)
- \( g \) = acceleration due to gravity (in m/s²)
- \( h \) = height above the ground (in meters)

2. **Identify the Given Values**:
- Mass \( m = 50 \) kg
- Height \( h = 6 \) m
- Gravitational acceleration \( g = 10 \) m/s²

3. **Substitute the Values into the Formula**:
\[ PE = mgh = 50 \, \text{kg} \times 10 \, \text{m/s}^2 \times 6 \, \text{m} \]

4. **Calculate the Potential Energy**:
- First, multiply the mass and gravitational acceleration:
\[ 50 \times 10 = 500 \]
- Then, multiply this result by the height:
\[ 500 \times 6 = 3000 \]

5. **Final Result**:
- Therefore, the potential energy (and thus the energy possessed by the object) is:
\[ PE = 3000 \, \text{joules} \]

### Conclusion:
The energy possessed by the stationary object at a height of 6 m with a mass of 50 kg is **3000 joules**.

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