Answer:
22.362h
Step-by-step explanation:
To calculate the work done by the women in pushing the grocery carts up the ramp, we need to first determine the total weight of the carts and their contents.
Each cart contains 2 quarts that weigh 50 pounds each, so the weight of the contents in each cart is 2 x 50 = 100 pounds.
In addition, each cart weighs 20 pounds, so the total weight of each cart is 100 + 20 = 120 pounds.
If there are six women pushing the carts, and we assume that each woman exerts the same amount of force, then the total force applied to the carts is 6 times the force exerted by each woman.
Assuming that the carts are pushed up a vertical height "h," the work done by the women in pushing the carts up the ramp is:
work = force x distance
= (6 x force exerted by each woman) x h
To determine the force exerted by each woman, we need to divide the weight of each cart by the force of gravity, which is approximately 9.8 m/s^2. In pounds, the force of gravity is approximately 32.2 lbm/s^2.
So, the force exerted by each woman is:
force exerted by each woman = (weight of cart and contents) / (force of gravity)
= 120 / 32.2
≈ 3.727 pounds (rounded to three decimal places)
Therefore, the work done by the women in pushing the carts up the ramp is:
work = (6 x 3.727) x h
= 22.362h
Note that the work done depends on the vertical height h that the carts are pushed up, which is not given in the question. So we cannot provide a numerical answer to this question without this information.