To find the amount of work done in lifting an object, we use the formula for gravitational work:
[tex]\[ \text{Work} (W) = \text{mass} (m) \times \text{acceleration due to gravity} (g) \times \text{height} (h) \][/tex]
Let's break this down step by step:
1. Identify the given values:
- Mass ([tex]\(m\)[/tex]): 8 kilograms
- Height ([tex]\(h\)[/tex]): 2 meters
- Acceleration due to gravity ([tex]\(g\)[/tex]): 9.81 meters per second squared (a standard value for Earth's gravity)
2. Substitute the given values into the formula:
[tex]\[ W = m \times g \times h \][/tex]
[tex]\[ W = 8 \, \text{kg} \times 9.81 \, \text{m/s}^2 \times 2 \, \text{m} \][/tex]
3. Perform the multiplication:
[tex]\[ W = 8 \, \text{kg} \times 9.81 \, \text{m/s}^2 \times 2 \, \text{m} \][/tex]
[tex]\[ W = 156.96 \, \text{J} \][/tex]
Therefore, the amount of work done in lifting an object of 8 kg to a height of 2 meters is [tex]\( 156.96 \)[/tex] Joules.
