the work required to lift eleven 94.0lb bags of cement from the ground to the back of a truck is 4340ft lb. what is the distance from the ground to the bed of the truck?
Work = 11*94Lbs * d == 4340Ft-Lbs.
1034d = 4340
d = 4.2 Ft.
Work is required to lift a sack of cement
To find the distance from the ground to the bed of the truck, we can divide the work required by the weight of the bags of cement.
Step 1: Convert the weight of the bags from pounds to foot-pounds.
Each bag weighs 94.0 lb
So, the weight of eleven bags = 11 * 94.0 lb = 1034.0 lb
Step 2: Divide the work required by the weight of the bags.
Distance = Work / Weight
Distance = 4340 ft lb / 1034.0 lb
Step 3: Calculate the distance.
Distance = 4.2019 ft (rounded to four decimal places)
Therefore, the distance from the ground to the bed of the truck is approximately 4.2019 feet.
To determine the distance from the ground to the bed of the truck, we can use the concept of work and the equation for work:
Work = Force × Distance
In this case, the work required to lift the bags of cement is given as 4340 ft lb, and each bag weighs 94.0 lb. We need to calculate the distance.
Let's assume the distance from the ground to the bed of the truck is "d" (in feet).
Now, we can calculate the work done to lift one bag of cement a distance of "d":
Work done to lift one bag = Force × Distance
Work done to lift one bag = 94.0 lb × d ft
Since 11 bags are lifted, the total work required is:
Total Work = Work done to lift one bag × Number of bags
Total Work = 94.0 lb × d ft × 11 bags
Given that the total work is 4340 ft lb, we can equate these two expressions and solve for "d":
4340 ft lb = 94.0 lb × d ft × 11 bags
To find "d," we can rearrange the equation:
d ft = 4340 ft lb / (94.0 lb × 11 bags)
Now, let's calculate the answer:
d ft = 4340 ft lb / (94.0 lb × 11)
d ft ≈ 4.77 ft
Therefore, the distance from the ground to the bed of the truck is approximately 4.77 feet.