If a force of 20kN acts on a circular rod of diameter 10mm, calculate the stress in the
rod.
​

Answer:

[tex]-180.38\ \text{N}[/tex]

Explanation:

[tex]q_1=-53\ \mu\text{C}[/tex]

[tex]q_2=105\ \mu\text{C}[/tex]

[tex]q_3=-88\ \mu\text{C}[/tex]

r = Distance between the charges

[tex]r_{12}=0.5\ \text{m}[/tex]

[tex]r_{23}=0.95\ \text{m}[/tex]

[tex]r_{13}=1.45\ \text{m}[/tex]

k = Coulomb constant = [tex]9\times 10^9\ \text{Nm}^2/\text{C}^2[/tex]

Net force is given by

[tex]F=F_{12}+F_{13}\\\Rightarrow F=\dfrac{kq_1q_2}{r_{12}^2}+\dfrac{kq_1q_3}{r_{13}^2}\\\Rightarrow F=kq_1(\dfrac{q_2}{r_{12}^2}+\dfrac{q_3}{r_{13}^2})\\\Rightarrow F=9\times 10^9\times (-53\times 10^{-6})(\dfrac{105\times 10^{-6}}{0.5^2}+\dfrac{-88\times 10^{-6}}{1.45^2})\\\Rightarrow F=-180.38\ \text{N}[/tex]

The force on the particle [tex]q_1[/tex] is [tex]-180.38\ \text{N}[/tex].

Answer:

The answer sir would be 180.38

Explanation:

Put in 180.38 trust

Answer:

If we double the length we will have:

[tex]f'=\frac{f}{\sqrt{2}}[/tex]

Explanation:

The equation of the angular frequency of a pendulum is given by:

[tex]\omega=\sqrt{\frac{g}{L}}[/tex]

Where:

By definition the period is:

[tex]T=\frac{2\pi}{\omega}[/tex]

And frequency is 1 over the frequency T:

[tex]f=\frac{1}{T}[/tex]

[tex]f=\frac{1}{2\pi}\sqrt{\frac{g}{L}}[/tex]

Now, if we double the length we will have:

[tex]f'=\frac{1}{2\pi}\sqrt{\frac{g}{2L}}[/tex]

[tex]f'=\frac{1}{2\pi\sqrt{2}}\sqrt{\frac{g}{L}}[/tex]

[tex]f'=\frac{f}{\sqrt{2}}[/tex]

Therefore, the new frequency is the old frequency over √2.

I hope it helps you!

Answer:

[tex]\mathbf{v_{ground} = \sqrt{{v^2+2ghb}}}[/tex]

Explanation:

From the information given:

The avg. velocity post the window is;

[tex]v_{avg} = \dfrac{L_w}{t}[/tex]

[tex]v_b[/tex] = velocity located at the top of the window

[tex]v_b[/tex] = velocity situated at the bottom of the window  

Using the equation of kinematics:

[tex]v_b = v_t + gt[/tex]

Hence,

[tex]v_t = v_b - gt[/tex]

To determine the average velocity as follows:

[tex]v_{avg} = \dfrac{1}{2} (v_t + v_b)\dfrac{L_w}{t}= \dfrac{1}{2}(v_b - gt +v_b) \\ \\\dfrac{L_w}{t} = v_b - \dfrac{1}{2}gt \\ \\ v_b = \dfrac{L_w}{t }+ \dfrac{1}{2} gt\\ \\ = \dfrac{1}{t} \Bigg(L_w + \dfrac{1}{2}gt^2 \Bigg) \\ \\[/tex]

where;

[tex]v_b[/tex] = velocity gained when fallen through the height h.

Similarly, using the equation of kinematics, we have;

[tex]v_b^2 = 2gh \\ \\h = \dfrac{v_b^2}{2g}[/tex]

[tex]\implies \dfrac{(L_w + \dfrac{1}{2} gt^2_^2}{2gt^2}[/tex]

Thus, the velocity at the ground is;

[tex]v^2_{grround} = v_b^2 + 2ghb[/tex]

[tex]\mathbf{v_{ground} = \sqrt{{v^2+2ghb}}}[/tex]

Answer:

The units of kinetic energy are mass times the square of speed, or kg⋅m2/s2 kg ⋅ m 2 /s 2. But the units of force are mass times acceleration, kg⋅m/s2 kg ⋅ m/s 2, so the units of kinetic energy are also the units of force times distance, which are the units of work

Explanation:

EDGE 2021

Answer:

True

Explanation:

I’m not 100% sure

Answer:

If the earth lost its gravity we could not walk or live our normal ways

Answer:

If earth's gravity was to disappear then a lot would happen, but I believe the biggest impact on losing gravity is earth's un-stabilized core, gravity keeping earth's core stable would lead to the earth melting or would lead to its core being ripped apart into outer space, the impact on other planets its huge as well because the gravity keeps the earth in orbit and without it, earth will start roaming around the solar system bumping into planets which would lead to the entire solar system exploding. I hope this helped.

Explanation:

Pulling on the cord, exerting a force of 15 N for 2 s and then 25 N for 3 s, and measuring the final angular velocity of the disk.

[tex]\tau = \frac{dL}{dt} \\\\[/tex]

[tex]Fr = \frac{\Delta L}{\Delta t} \\\\Fr = \frac{\Delta m\omega ^2r}{\Delta t} \\\\F = \frac{\Delta m\omega ^2}{\Delta t}[/tex]

[tex]F = \frac{m\Delta \omega ^2}{\Delta t} \\\\F = \frac{m(\omega _f^2 - \omega _i^2)}{t_2 - t_1}[/tex]

where;

[tex]\omega _i[/tex] is the initial angular velocity

[tex]\omega _f[/tex] is the final angular velocity

Since the disk is initial at rest, applying a force such as 15 N gives the disk its first angular velocity and applying 25 N force for 3 seconds gives the disk its final angular velocity.

Thus, the best procedure to determine the relationship between applied torque and the resulting change in angular momentum of the disk is

Learn more about torque on a disk here: https://brainly.com/question/25482609

Answer:

Notice how all the cells seem to stack on each other, with no spaces in ... and pancreas, which work together to carry out a certain function (in this case, ... Structures found in plant cells but not animal cells include a large central vacuole, cell wall, ... It consists mainly of cellulose and may also contain lignin , which makes it ...

Explanation:

Answer: 0.25 m/s

Explanation:

Answer:

watt

Explanation:

Power is the rate at which energy is produced or consumed. Watts (W) measure rates of power over a period of time. A kilowatt (kW) is 1000 watts. A watt-hour (Wh) is a unit that measures the amount of electrical energy used over a period of time.

Answer:

A)        d = 6.1857 10⁻⁵ m

Explanation:

In the double-slit experiment the constructive interference is given by the expression

          d sin θ = m λ

          d =[tex]\frac{m \lambda }{sin \theta}[/tex]

let's use the relationship between speed, wavelength and frequency

          c = λ f

          λ = c / f

          λ = 3 10⁸ / 5.60 10¹²

          λ = 5.357 10⁻⁵ m

I do not know India in order of interference, we will assume that  m= 1

          d = 1  5,357 10⁻⁵ / sin 60

          d = 6.1857 10⁻⁵ m

Answer:

please I do not understand that question

Answer:

Left

Explanation:

newtons is a measure of force. Since there is more newtons(force) pushing to the left, the object will move left. the 15 newtons cancel each other out, leaving only 5 newtons pushing to one side with no resistance.

Answer:

Backwash effect

Explanation:

Your friend moved along the shore due to ; The swash effect and the Backwash effect

Swash effect is caused by the upsurge of water up along the slopping front of the beach  and this same upsurge in water moves back into the beach in what is known as the backwash effect hence the movement of your friend form where they were in the surf zone to another position still within the surface zone is caused by the BACKWASH EFFECT

He moved along the shore due to Backwash effect

Your friend moved along the shore due to ; The swash effect and the Backwash effect

Swash effect is caused by the upsurge of water up along the slopping front of the beach  and this same upsurge in water moves back into the beach in what is known as the backwash effect.

hence the movement of your friend form where they were in the surf zone to another position still within the surface zone is caused by the  Backwash effect.

To know more about backwash effect follow

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Answer:

N₂ = 19 turns

Explanation:

A transform is a system with two different windings where the variation of the magnetic beam is the same, if there are no losses in the system we can use Faraday's law

          V₁ = -N₁  [tex]\frac{d \Phi_B }{dt}[/tex]

          v₂ = - N₂ \frac{d \Phi_B }{dt}

           [tex]\frac{V_1}{N_1} = \frac{V_2}{N_2}[/tex]

in this case we look for the number of turns in the second winding

            N₂2 = [tex]N_1 \ \frac{ V_2}{V_1}[/tex]

calculate us

           N₂ = 360  6.30/ 120

           N₂ = 18.9 turn

The number of turns must be an integer

           N₂ = 19 turns

Answer:

A. α = - 1.047 rad/s²

B. θ = 14.1 rad

C. θ = 2.24 rev

Explanation:

A.

We can use the first equation of motion to find the acceleration:

[tex]\omega_f = \omega_i + \alpha t\\[/tex]

where,

ωf = final angular speed = 0 rad/s

ωi = initial angular speed = (30 rpm)(2π rad/1 rev)(1 min/60 s) = 3.14 rad/s

t = time = 3 s

α = angular acceleration = ?

Therefore,

[tex]0\ rad/s = 3.14\ rad/s + \alpha (3\ s)\\[/tex]

α = - 1.047 rad/s²

B.

We can use the second equation of motion to find the angular distance:

[tex]\theta = \omega_i t + \frac{1}{2}\alpha t^2\\\theta = (3.14\ rad/s)(3\ s) + \frac{1}{2}(1.04\ rad/s^2)(3\ s)^2\\[/tex]

θ = 14.1 rad

C.

θ = (14.1 rad)(1 rev/2π rad)

θ = 2.24 rev

Answer:

If it moves at the same speed but has twice as much mass, its momentum is ... there is no air in space; there is no friction in space; there is no gravity in outer space ... One cart rolls rightward at 2 m/s and the other cart rolls leftward at 1 m/s. ... A 5-N force is applied to a 3-kg ball to change its velocity from +9 m/s to +3 m/s.

Explanation:

Answer:

A point on the outside rim will travel 157.2 meters during 30 seconds of rotation.

Explanation:

We can find the distance with the following equation since the acceleration is cero (the disk rotates at a constant rate):

[tex] d = v*t [/tex]

Where:

v: is the tangential speed of the disk

t: is the time = 30 s  

The tangential speed can be found as follows:

[tex] v = \omega*r [/tex]

Where:

ω: is the angular speed = 100 rpm

r: is the radius = 50 cm = 0.50 m

[tex] v = \omega*r = 100 \frac{rev}{min}*\frac{2\pi rad}{1 rev}*\frac{1 min}{60 s}*0.50 m = 5.24 m/s [/tex]    

Now, the distance traveled by the disk is:

[tex] d = v*t = 5.24 m/s*30 s = 157.2 m [/tex]

Therefore, a point on the outside rim will travel 157.2 meters during 30 seconds of rotation.

I hope it helps you!

Answer:

"13.48 Kwhr" is the right solution.

Explanation:

The given values are:

Average rate of heat energy,

= 0.063 W/m²

Diameter,

= 8m

Efficiency of conversion,

= 50%

Now,

The area of hotspot will be:

⇒  [tex]A=\frac{\pi}{4} d^2[/tex]

On substituting the values, we get

⇒      [tex]=\frac{3.14}{4} (8)^2[/tex]

⇒      [tex]=0.785\times 64[/tex]

⇒      [tex]=50.24 \ m^2[/tex]

Total heat generation rate will be:

⇒  [tex]Q=q\times A[/tex]

        [tex]=0.063\times 50.24[/tex]

        [tex]=3.16 \ W[/tex]

hence,

The electricity generation capacity will be:

⇒  [tex]P=\eta Q t[/tex]

On substituting the values, we get

⇒      [tex]=0.5\times 3.16\times 8760[/tex]

⇒      [tex]=13840.8 \ Whr[/tex]

On converting into Kwhr, we get

⇒      [tex]=13.84 \ Kwhr[/tex]

Answer:

The Answer is gonna be True

The wavelength of this radio signal is equal to 3.18 meters.

Given the following data:

Wavelength can be defined as the distance between two (2) successive crests (troughs) of a wave.

Mathematically, the wavelength of a wave is given by this formula:

[tex]\lambda = \frac{V}{F}[/tex]

Where:

Substituting the given parameters into the formula, we have;

[tex]\lambda = \frac{3 \times 10^8}{9.45 \times10^7}[/tex]

Wavelength = 3.18 meters.

Find more information on waves here: brainly.com/question/23460034

The wavelength of the radio signal travel at speed of light is 3.17m.

Given the data in the question;

Wavelength the spatial period of a periodic wave. That is to say, when the shapes of waves are Wavelength , the distance over which they are repeated is called wavelength. Wavelength  is expressed as;

[tex]\lambda = \frac{v}{f}[/tex]

Where [tex]\lambda[/tex] is wavelength, f is the frequency of the wave and c is the velocity or speed of light ( [tex]c = 3*10^8m/s[/tex] )

We substitute our values into the expression above.

[tex]\lambda = \frac{c}{ f}\\ \\\lambda = \frac{3*10^8m/s}{9.45*10^7s^{-1}} \\\\\lambda = \frac{3*10^8ms/s}{9.45*10^7}\\\\\lambda = 3.17m[/tex]

Therefore, the wavelength of the radio signal travel at speed of light is 3.17m.

Learn more about wavelength: brainly.com/question/16776907

Answer: The Electrostatic force of attraction or repulsion between two charges shows that the Newton's third law applies to electrostatic forces.

Explanation: Consider two Oppositely charged charges separated by distance d.

The electrostatic force exerted by charge 1 on charge 2 is.

By Coulomb's Law :

               F1  = k [tex]\frac{Q1 Q2}{d2}[/tex].....................................(1)

The electrostatic force exerted by charge 2 on charge 1 is.

              F2  = - k [tex]\frac{Q1 Q2}{d2}[/tex] ................................. (2)

negative sign shows that force are in opposite direction.

From Equation 1 and 2

              F1 = - F2

Which implies Newton Third law.

The evidence observed from Newton's third law is that the electrostatic force of attraction exerted by two different charges will be equal in magnitude by acting opposite direction.

Newton's third law states that action and reaction are equal and opposite.

For different charges, say a positive charge (+ Q) and negative charge (-Q), the force of attraction exerted by both charges is equal and opposite.

From Coulomb's law, the force of attraction the two charges will exert on each other is equal and can be calculated as follows;

[tex]F_{12} = \frac{kQ_1Q_2}{r^2}[/tex]

Thus, the evidence observed from Newton's third law is that the electrostatic force of attraction exerted by two different charges will be equal in magnitude by acting opposite direction.

Lear more here: https://brainly.com/question/23772134

Answer:

Explanation : if two tectonic plates collide, they form a convergent plate boundary. Usually, one of the converging plates will move beneath the other, a process known as subduction. Deep trenches are features often formed where tectonic plates are being subducted and earthquakes are common.

Answer:

a trench

Explanation:

Answer:

yes, because you dont want to be mean and make her feel worse about it and hiv has something do with s3x not germs so yes go

Explanation:

Answer:

they gather information from reflected and absorbed waves.

Explanation:

Answer:

That guy got your private ip he know where you live since you searched the link good job.

Explanation:

Answer:

spectrograph

hope it is helpful to you

Answer: spectograph

Explanation: