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
Answer:
confusion
Step-by-step explanation:
9514 1404 393
Answer:
- positive: right
- negative: left
Step-by-step explanation:
In the transformed function f(x-h), the value of h is the right shift of the parent function.
For h positive, shift is to the right.
For h negative, shift is to the left.
Answer:
Step-by-step explanation:
The first term is simply a(1), and is 5.
The fourth term is a(4), and is 5 + (1/6)(4-1), or 5 3/6 or 5 1/2.
The tenth term is a(10), and is 5 + (1/6)(10 - 1), or 5 + 3/2, or 6 1/2.
The area of a regular hexagon is A=(3√3/2)a², a is the side length.
so A=(3√3/2)*5.2²=70.25
C is the correct answer
