The maximum height that the pendulum can reach will be 45 meters.
<h3>How to calculate the height?</h3>
It should be noted that the total energy at A should be equal to the total energy at B.
Therefore, this will be calculated thus:
1/2(14)² + 10(35) = 1/2(0)² + mgH
98 + 350 = 10H
448 = 10H
H = 448/10
H = 44.8 meters
H = 45 meters approximately
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Answer:
a = 7/2
Step-by-step explanation:
2x - y - 5 = 0
2x = y + 5
y = 2x - 5
m = -1/2
y - 5 = -1/2(x - (-2))
y - 5 = -1/2(x + 2)
y - 5 = -x/2 - 1
y = -x/2 + 4
a = -1/2 + 4
a = 7/2
The rate a which the surface area, S, decreases is
![\frac{dS}{dt} =-8 \pi \, cm^{2}/s](https://tex.z-dn.net/?f=%20%5Cfrac%7BdS%7D%7Bdt%7D%20%3D-8%20%5Cpi%20%5C%2C%20cm%5E%7B2%7D%2Fs)
The surface area is
S = 4πr²
where r = the radius at time t.
Therefore
![\frac{dS}{dt} = \frac{dS}{dr} \frac{dr}{dt} =8 \pi r \frac{dr}{dt} \\\\ -8 \pi = 8 \pi r \frac{dr}{dt} \\\\ \frac{dr}{dt} =- \frac{1}{r}](https://tex.z-dn.net/?f=%20%5Cfrac%7BdS%7D%7Bdt%7D%20%3D%20%5Cfrac%7BdS%7D%7Bdr%7D%20%20%5Cfrac%7Bdr%7D%7Bdt%7D%20%3D8%20%5Cpi%20r%20%20%5Cfrac%7Bdr%7D%7Bdt%7D%20%5C%5C%5C%5C%20-8%20%5Cpi%20%20%3D%208%20%5Cpi%20r%20%20%5Cfrac%7Bdr%7D%7Bdt%7D%20%5C%5C%5C%5C%20%20%5Cfrac%7Bdr%7D%7Bdt%7D%20%3D-%20%5Cfrac%7B1%7D%7Br%7D%20)
When r = 3 cm, obtain
![\frac{dr}{dt}]_{r=3} = - \frac{1}{3} \, cm/s](https://tex.z-dn.net/?f=%20%5Cfrac%7Bdr%7D%7Bdt%7D%5D_%7Br%3D3%7D%20%3D%20-%20%5Cfrac%7B1%7D%7B3%7D%20%5C%2C%20cm%2Fs%20%20)
Answer: -1/3 cm/s (or -0.333 cm/s)
Answer:
the surface area is 112 ft^2
Step-by-step explanation:
if you separate listen to two different rectangles you get what's a rectangle a being 3 + 10 + 3 equals 16 * 2 what gives you 32 okay and rectangle b being 3 + 2 + 3 what gives you 8 x 10 that gives you the area of 80 now you add the area both rectangles being 32 + 80 and to get a hundred and twelve feet squared
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