To solve this problem, we need to calculate the work done in lifting a box. Work done (W) is given by the formula:
[tex]\[ W = m \times g \times h \][/tex]
Where:
- [tex]\( m \)[/tex] is the mass of the object
- [tex]\( g \)[/tex] is the acceleration due to gravity
- [tex]\( h \)[/tex] is the height the object is lifted
Given:
- [tex]\( m = 5 \)[/tex] kg (mass of the box)
- [tex]\( g = 9.8 \)[/tex] m/s[tex]\(^2\)[/tex] (acceleration due to gravity)
- [tex]\( h = 1.5 \)[/tex] meters (height of the shelf)
Substitute the given values into the formula:
[tex]\[ W = 5 \, \text{kg} \times 9.8 \, \text{m/s}^2 \times 1.5 \, \text{m} \][/tex]
[tex]\[ W = 5 \times 9.8 \times 1.5 \][/tex]
[tex]\[ W = 73.5 \, \text{J} \][/tex]
Thus, the correct answer to the question "How much work do you do?" is [tex]\( \boxed{73.5 \, \text{J}} \)[/tex].
