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OLEGan [10]
3 years ago
6

A 20.0-m-tall hollow aluminum flagpole is equivalent in strength to a solid cylinder 4.00 cm in diameter. A strong wind bends th

e pole as much as a horizontal 900.0-N force on the top would do. How far to the side does the top of the pole flex?
Physics
1 answer:
Temka [501]3 years ago
6 0

To solve the problem it is necessary to apply the concepts related to deflection in a metal.

By definition the deflection is given by the equation

\Delta x = \frac{1}{s}(\frac{F_w}{A}L_o)

Where

F_w = Force

A =Area

s = shear modulus

L_o= Original length

To calculate the area we must obtain the radius generated by the deflection, that is to say

r = \frac{D}{2}

Where,

D = Diameter

r = Radius of the aluminum flagpole

r = \frac{4*10^{-2}}{2}

r = 2*10^{-2}m

Therefore the cross sectional area of the pole is given as

A=\pi r^2

A = \pi * 2*10^{-2}

A=1.257*10^{-3}m^2

Replacing our values at the previous equation we have that

\Delta x = \frac{1}{s}(\frac{F_w}{A}L_o)

\Delta x = \frac{1}{25*10^9}(\frac{900}{1.257*10^{-3}}20)

\Delta x = 0.57mm

Therefore the deflection in the pole is 0.57mm

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Answer:

Explanation:

1.  V_{x} = V_{0} * cos\alpha ⇒ 16*cos32 ≈ 13.6 m/s (13.56)

2. V_{y} = V_{0} * sin\alpha ⇒ 16* sin32 ≈ 9.4 m/s

3. y_{max} = \frac{v_{0}^2*sin^2\alpha}{2g}= \frac{16^2*sin^232}{2*9.8} (the g (gravity) depends on the country but i'll take the average g which is 9.2m/s^2)

y_{max} ≈ 3.6677+1.5 ≈ 5.2m

4.  x_{max} = \frac{v_{0}^2*sin(2\alpha)}{g}=\frac{16^2*sin(2*32)}{9.8} ≈ 23.5m (23.47)

5. -

answer 4 could be wrong, not certain about that one and i don't know 5

3 0
3 years ago
A bicyclist travels 30 km in 2 hours, what is their average speed?
Mamont248 [21]

Explanation:

average speed = total distance ÷ total time taken

=30÷2 = 15 km/h

3 0
3 years ago
A transparent oil with index of refraction 1.28 spills on the surface of water (index of refraction 1.33), producing a maximum o
Veseljchak [2.6K]

To solve this problem we will apply the concepts related to the principle of destructive and constructive interference. Mathematically this expression can be given as

2nt = m\lambda

Here,

n = Index of refraction

t = Thickness

m = Order of the reflection

\lambda = Wavelength

We have all of this values, therefore replacing,

2(1.28)t = (1)(600nm)

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3 years ago
Which statements correctly describe the formula or name of a compound? Select all that apply.
PtichkaEL [24]

Answer:

The formula of nitrogen trifluoride is NF 3

The formula of ammonia is NH3

The formula of magnesium hydroxide is Mg(OH)2

Explanation:

The formula of a compound refers to the correct representation of the compound using appropriate chemical symbols.

The formula of a compound is derived from the symbols of its constituent elements. The formula of the compound must correctly show the number of atoms of each element in one formula unit of the compound.

In the answer section, the correct names or formulas of some compounds have been shown

8 0
3 years ago
Read 2 more answers
A tennis ball bounces on the floor three times. If each time it loses 11% of its energy due to heating, how high does it rise af
aalyn [17]

Answer:

h = 3.10 m

Explanation:

As we know that after each bounce it will lose its 11% of energy

So remaining energy after each bounce is 89%

so let say its initial energy is E

so after first bounce the energy is

E_1 = 0.89 E

after 2nd bounce the energy is

E_2 = 0.89(0.89 E)

After third bounce the energy is

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here initial energy is given as

E = mgH_o

now let say final height is "h" so after third bounce the energy is given as

E_3 = mgh

now from above equation we have

mgh = (0.89)(0.89)(0.89)(mgH)

h = 0.705H

h = 0.705(4.4 m)

h = 3.10 m

3 0
3 years ago
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