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To calculate the gravitational potential energy (PE) of the object, we use the formula:
\[
PE = m \cdot g \cdot h
\]
where:
- \( m \) = mass of the object (5 kg)
- \( g \) = acceleration due to gravity (9.8 m/sĀ²)
- \( h \) = height above the ground (10 m)
Substituting the values:
\[
PE = 5 \, \text{kg} \cdot 9.8 \, \text{m/s}^2 \cdot 10 \, \text{m}
\]
Calculating this gives:
\[
PE = 5 \cdot 9.8 \cdot 10 = 490 \, \text{joules}
\]
Therefore, the magnitude of the initial gravitational potential energy of the object is **490 joules**.