To determine the work done by Robot 4 in lifting the building blocks, you can use the formula for work:
\[ \text{Work} = \text{Force} \times \text{Distance} \times \cos(\theta) \]
Where:
- Work is measured in joules (J)
- Force is measured in newtons (N)
- Distance is measured in meters (m)
- \(\theta\) is the angle between the force and the direction of movement (when vertically lifting, \(\theta = 0^\circ\), and \(\cos(0^\circ) = 1\))
In this case:
- Force (F) = 30 N
- Distance (d) = 2 m
- \(\theta = 0^\circ\) (since the force is acting in the same direction as the movement)
Now, plug in the values:
\[ \text{Work} = 30 , \text{N} \times 2 , \text{m} \times \cos(0^\circ) = 30 , \text{N} \times 2 , \text{m} \times 1 \]
\[ \text{Work} = 60 , \text{J} \]
So, Robot 4 does 60 joules of work to lift the 3 building blocks 2 meters.