Answer:
765 J
Step-by-step explanation:
We are given;
Mass of bucket = 30 kg
Mass of rope = 0.3 kg/m
height of building= 30 meter
Now,
work done lifting the bucket (sand and rope) to the building = work done in lifting the rope + work done in lifting the sand
Or W = W1 + W2
Work done in lifting the rope is given as,
W1 = Force x displacement
W1 = (30,0)∫(0.2x .dx)
Integrating, we have;
W1 = [0.2x²/2] at boundary of 30 and 0
W1 = 0.1(30²)
W1 = 90 J
work done in lifting the sand is given as;
W2 = (30,0)∫(F .dx)
F = mx + c
Where, c = 30 - 15 = 15
m = (30 - 15)/(30 - 0)
m = 15/30 = 0.5
So,
F = 0.5x + 15
Thus,
W2 = (30,0)∫(0.5x + 15 .dx)
Integrating, we have;
W2 = (0.5x²/2) + 15x at boundary of 30 and 0
So,
W2 = (0.5 × 30²)/2) + 15(30)
W2 = 225 + 450
W2 = 675 J
Therefore,
work done lifting the bucket (sand and rope) to the top of the building,
W = 90 + 675
W = 765 J
From the information given,
3 pounds = $18
Therefore, 1 pound = 18/3 = $6 (this can be treated as a constant of proportionality) such that,
Cost,C = 6*Weight, W (pounds)
Equation;
C = 6W, where C = Cost in $, and W = Weight in pounds.
Answer:24,942,060
Step-by-step explanation:
(10,10,4) - (3,2,0) = 7,8,4
7+8+4=19
19!/(7!*8!*4!)= 24'942'060
Answer: The properties of operations can be used to solve problems involving integers because it shows different way to find the answer.
Step-by-step explanation:
