Answer:
it's because some versions have more steps and others have less
Answer:
Explanation:
From the given information:
The diameter of the pool = 24 ft
The radius will be = 24 ft/2 = 12 ft
The volume of water V = πr²(Δx)
V = π× 12²×(Δx)
V = 144π(Δx)
Le's assume water weighs 62.5 lb/ft³;
Then:
the Force (F) will be:
= 144π(Δx) * 62.5
= 9000πΔx lb
Also, the side of cylindrical water = 5 ft while its depth = 4ft
As such, each slide of water d = 5 - x, and the region is between 0 and 4.
∴
The required work is:
![W = \int^4_0 (5-x) 9000 \ \pi dx \\ \\ W = 9000 \int^4_0 (5-x) \ dx \\ \\ W = 9000 \pi \Big [5x - \dfrac{x^2}{2} \Big]^4_0 \\ \\ W = 9000 \pi \Big [5*4- \dfrac{4^2}{2} \Big] \\ \\ W = 9000 \pi \Big [20-8 \Big] \\ \\ W = 9000 \pi \Big [12 \Big] \\ \\ W = 9000 \pi (12) \\ \\ \mathbf{W = 108000 \pi \ ft.lb}](https://tex.z-dn.net/?f=W%20%3D%20%5Cint%5E4_0%20%285-x%29%209000%20%5C%20%5Cpi%20dx%20%5C%5C%20%5C%5C%20W%20%3D%209000%20%5Cint%5E4_0%20%285-x%29%20%5C%20dx%20%5C%5C%20%5C%5C%20W%20%3D%209000%20%5Cpi%20%5CBig%20%5B5x%20-%20%5Cdfrac%7Bx%5E2%7D%7B2%7D%20%5CBig%5D%5E4_0%20%5C%5C%20%5C%5C%20%20W%20%3D%209000%20%5Cpi%20%5CBig%20%5B5%2A4-%20%5Cdfrac%7B4%5E2%7D%7B2%7D%20%5CBig%5D%20%20%5C%5C%20%5C%5C%20%20W%20%3D%209000%20%5Cpi%20%5CBig%20%5B20-8%20%5CBig%5D%20%20%5C%5C%20%5C%5C%20%20W%20%3D%209000%20%5Cpi%20%5CBig%20%5B12%20%5CBig%5D%20%20%5C%5C%20%5C%5C%20%20W%20%3D%209000%20%5Cpi%20%20%2812%29%20%5C%5C%20%5C%5C%20%5Cmathbf%7BW%20%3D%20108000%20%5Cpi%20%5C%20ft.lb%7D)
Explanation:
1.) Work = Force*Distance
2.) The direction of motion lies in the same direction as the tension in the cable. So the work done by tension would be positive.
3.) The direction of the weight (due to gravity) would act opposite to the direction of motion of the elevator, so work done by gravity becomes negative.
Answer:
150 km/h
Explanation:
A speed measures a distance traveled over a period of time. We usually express speed in terms of km/h for example.
That train travels 600 km in 4 hours.
To find its average speed, we just need to divide 600 km / 4 hours
We then get 150 km/h
That's said to be the <u>average speed</u> since it's the total distance in the total of time.... it might have been slower or faster at different points during that distance/time.
