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Pressure: The tip of a nail has a radius of 0.0025 m.If the weight of a person (773 N) is applied to the tip of this nail, what

kolezko [41]

The pressure is $3.94\cdot 10^7 Pa$

Explanation:

First of all, we calculate the area of the tip of the nail, which is given by:

$A=\pi r^2$

where

r = 0.0025 m is the radius

Substituting,

$A=\pi (0.0025)^2=1.96\cdot 10^{-5} m^2$

Then we can calculate the pressure exerted by the person on the nail, which is

$p=\frac{F}{A}$

where

F = 773 N is the force exerted (the weight of the man)

$A=1.96\cdot 10^{-5} m^2$ is the area

Substituting,

$p=\frac{773}{1.96\cdot 10^{-5} m^2}=3.94\cdot 10^7 Pa$

Learn more about pressure:

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4 0

4 years ago

The highest tides occur when

andrey2020 [161]

Answer:

Happens when lunar perigee occurs.

Explanation:

If the lunar perigee occurs when the Moon is between the Sun and the Earth, it produces unusually high Spring high tides. When it occurs on the opposite side from the Earth that where the Sun is located ( during full moon) it produces unusually low, Neap Tides.

3 0

3 years ago

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1. A friend measures the length of the school

shusha [124]

Answer:

option A

Explanation:

A soccer field is about 100 meters of length, with the other instruments is possible to make the measure, but it will be very complex and it will take time. Therefore with the 50-m tape, the student will need only two measures.

6 0

3 years ago

A fast moving vehicle travelling at a speed of 25.4 m/s comes up behind another vehicle which is

ale4655 [162]

Answer:

a = 6.1 m / s²

Explanation:

For this kinematics exercise, to solve the exercise we must set a reference system, we place it in the initial position of the fastest vehicle

Let's find the relative initial velocity of the two vehicles

v₀ = v₀₂ - v₀₁

v₀ = 25.4 - 13.6

v₀ = 11.8 m / s

the fastest vehicle

x = v₀ t + ½ a t²

The faster vehicle has an initial speed relative to the slower vehicle, therefore it is as if the slower vehicle were stopped, so the distance that must be traveled in a fast vehicle to reach this position is

x = 11.4 m

let's use the expression

v² = v₀² - 2 a x

how the vehicle stops v = 0

a = v₀² / 2x

a = $\frac{11.8^2}{2 \ 11.4}$

a = 6.1 m / s²

this velocity is directed to the left

8 0

3 years ago

What wavelength of light contains enough energy in a single photon to ionize a hydrogen atom?

BaLLatris [955]

There's probably a much quicker, easier way to do it, but I don't work with this stuff every day so this is the way I have to do it:

First, I searched the "ionization energy" of Hydrogen on Floogle. That's how much work it takes to rip the one electron away from its Hydrogen atom, and it's 13.6 eV (electron-volts).

In order to find the frequency/wavelength of a photon with that energy, I need the energy in units of Joules.

1 eV = 1.602 x 10⁻¹⁹ Joule (also from Floogle)

13.6 eV = 2.179 x 10⁻¹⁸ Joule

OK. Now we can use the popular well-known formula for the energy of a photon:

Energy = h · (frequency)

or Energy = h · (light speed/wavelength)

' h ' is Max Planck's konstant ... 6.626 × 10⁻³⁴ m²-kg / s

Wow ! The only thing we don't know in this equation is the wavelength, which is what we need to find. That's gonna be a piece-o'-cake now, because we know the energy, we know ' h ', and we know the speed of light.

Wavelength = h · c / energy

Wavelength =

(6.626 x 10⁻³⁴ m²-kg/sec) · (3 x 10⁸ m/s) / (2.179 x 10⁻¹⁸ joule)

<em>Wavelength = 9.117 x 10⁻⁸ meter </em>

That's 91.1 nanometers .

It's not visible light (visible is between about 390 to 780 nm), but it's not as short as I was expecting. I thought it was going to be an X-ray, but it's not that short. X-rays are defined as 0.1 to 10 nanometers. This result is in the short end of Ultra-violet.

(You have no idea how happy I am with this result. I figured it out exactly the way I showed you, and I never peeked. Then, AFTER I had my solution, I went to Floogle and searched to see what it really is, and whether I came out anywhere close. I found it in the article on the "Lyman Series". It says the wavelength of the energy released by an electron that falls in from infinity and settles in the n=1 energy level of Hydrogen is 91.175 nm ! This gives me a big hoo-hah for the day, and I'm going to bed now.)

6 0

3 years ago

Read 2 more answers