Final answer:
The total work done on the box is 1278.4 J. The work done in pushing the box is 1200 J, and the work done in lifting the box is 78.4 J.
Step-by-step explanation:
The total work done on the box can be found by calculating the work done in pushing the box across the floor and the work done in lifting the box. The work done in pushing the box can be calculated using the equation:
Work = Force x Distance
So, for pushing the box:
Work = 60 N x 20 m = 1200 J
The work done in lifting the box can be calculated using the equation:
Work = Mass x Gravity x Height
So, for lifting the box:
Work = 4 kg x 9.8 m/s2 x 2 m = 78.4 J
Therefore, the total work done on the box is:
Total Work = Work in pushing + Work in lifting = 1200 J + 78.4 J = 1278.4 J