Sure! Let's go through the problem step by step:
To find out the work done in pushing the cart, we use the formula for work:
[tex]\[ \text{Work} = \text{Force} \times \text{Distance} \][/tex]
Given values:
- The force applied, [tex]\( F \)[/tex], is 75 Newtons.
- The distance over which the force is applied, [tex]\( d \)[/tex], is 8.5 meters.
We substitute these values into the formula to find the work done:
[tex]\[ \text{Work} = 75 \, \text{N} \times 8.5 \, \text{m} \][/tex]
Now, performing the multiplication:
[tex]\[ \text{Work} = 637.5 \, \text{Joules} \][/tex]
Thus, the work done in pushing the cart from one end of the aisle to the other is 637.5 Joules.
