Final answer:
The shopping aisle is approximately 46.05 meters long, calculated by dividing the work done by the shopper (1,704 J) by the force applied (37 N).
Step-by-step explanation:
To find out how long the shopping aisle is, we can use the work-energy principle which states that the work done on an object is equal to the force applied to the object times the distance the object moves in the direction of the force.
Since we know the shopper does 1,704 J of work pushing the cart with a force of 37 N, we can rearrange the work formula (W = F × d) to solve for the distance d:
d = W / F
Substituting the given values:
d = 1,704 J / 37 N
d = 46.05 m (rounded to two decimal places)
Therefore, the shopping aisle is approximately 46.05 meters long.