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WARRIOR [948]
3 years ago
6

If a ball is dropped from a height its velocity will increase until it hits the ground, assuming that aerodynamic drag due to th

e air is negligible. During its fall, its initial potential energy is converted into kinetic energy. If the ball is dropped from a height of 800 centimeters [cm], and the impact velocity is 41 feet per second [ft/s], determine the value of gravity in units of meters per second squared [m/s2].
Engineering
1 answer:
worty [1.4K]3 years ago
6 0

Answer:

g = 9.69 m/s²

Explanation:

given,

height from where ball is dropped = 800 cm = 8 m

impact velocity = 41 ft/s = 41 × 0.3048 = 12.45 m/s

acceleration due to gravity = ?    

initial potential energy is given by

PE = m g h                          

     = m g × 8                            

     = 8 mg..............(1)

now final kinetic energy

KE= \dfrac{1}{2}m(v)^2

KE= \dfrac{1}{2}m(12.45)^2

            =77.50 m.....................(2)

comparing equation (1) to (2)

8 mg = 77.50 m

g = 77.5/8

g = 9.69 m/s²

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Answer:

The lowest point of the curve is at 239+42.5 ft where elevation is 124.16 ft.

Explanation:

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G_2 is given as

G_2=\frac{E_{PVT}-E_{PVI}}{0.5L}\\G_2=\frac{127.5-122}{0.5*460}\\G_2=0.025=2.5 \%

The K value is given from the table 3.3 for 55 mi/hr is 115. So the value of A is given as

A=\frac{L}{K}\\A=\frac{460}{115}\\A=4

A is given as

-G_1=A-G_2\\-G_1=4.0-2.5\\-G_1=1.5\\G_1=-1.5\%

With initial grade, the elevation of PVC is

E_{PVC}=E_{PVI}+G_1(L/2)\\E_{PVC}=122+1.5%(460/2)\\E_{PVC}=125.45 ft\\

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St_{PVC}=St_{PVI}-(L/2)\\St_{PVC}=24000-(230)\\St_{PVC}=237+70\\

Low point is given as

x=K \times |G_1|\\x=115 \times 1.5\\x=172.5 ft

The station of low point is given as

St_{low}=St_{PVC}-(x)\\St_{low}=23770+(172.5)\\St_{low}=239+42.5 ft\\

The elevation is given as

E_{low}=\frac{G_2-G_1}{2L} x^2+G_1x+E_{PVC}\\E_{low}=\frac{2.5-(-1.5)}{2*460} (1.72)^2+(-1.5)*(1.72)+125.45\\E_{low}=124.16 ft

So the lowest point of the curve is at 239+42.5 ft where elevation is 124.16 ft.

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Answer:

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Answer:

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Explanation:

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By definition resources are scarce.

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Answer:

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