An object with a mass of 5 kg is thrown with an initial velocity of 6 m/s. If the object has an initial height of 10 meters above the ground, what is the magnitude of the initial gravitational potential energy of the object? The acceleration due to gravity is 9.8 m/s2.(1 point) Responses 90 joules 90 joules 490 joules 490 joules 580 joules 580 joules 400 joules

Answer 1

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/s²)
• \( h \) = 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.