A ruby laser delivers a 16.0-ns pulse of 4.20-MW average power. If the photons have a wavelength of 694.3 nm, how many are contained in the pulse

Answers

Answer 1

Answer:

The  value is  [tex]n = 2.347 *10^{17} \ photons[/tex]

Explanation:

From the question we are told that

     The  amount of power delivered is  [tex]P = 4.20 \ M W = 4.20 *10^{6} \ W[/tex]

      The  time taken is  [tex]t = 16.0ns = 16.0 *10^{-9} \ s[/tex]

       The  wavelength is  [tex]\lambda = 694.3 \ nm = 694.3 *10^{-9} \ m[/tex]

     

Generally the energy delivered is  mathematically represented as

     [tex]E = P * t = \frac{n * h * c }{\lambda }[/tex]

Where  [tex]h[/tex] is the Planck's constant with value  [tex]h = 6.262 *10^{-34} \ J \cdot s[/tex]

           c  is the speed of light with value  [tex]c = 3.0*10^{8} \ m/s[/tex]

     

So  

    [tex]4.20 *10^{6} * 16*10^{-9}= \frac{n * 6.626 *10^{-34} * 3.0*10^{8} }{694.3 *10^{-9}}[/tex]

=>    [tex]n = 2.347 *10^{17} \ photons[/tex]


Related Questions

Represent a vector of 100 N in North-East direction

Answers

Answer:

please find the attachment to this question.

Explanation:

In this question, we represent the 100N in the North-East direction, but first, we define the vector representation:

It is generally represented through arrows, whose length and direction reflect the magnitude and direction of the arrow points. In this, both size and direction are necessary because the magnitude of a vector would be a number that can be compared to one vector.

Please find the attachment:

Please answer the following questions about uniform circular motion.?
Part (a) A planet orbits a star in a circular orbit at a constant orbital speed, which of the following statements is true?
All of these are correct.
The magnitude of the orbital velocity of the planet is unchanged, thus there is no acceleration and therefore no force action on the planet.
None of these are correct.
The planet experiences a centripetal force pulling towards its star.
The planet experiences no centripetal force.
The planet experiences a centripetal force pushing it away from its star.
Part (b) When a planet is orbiting a star, which force plays the role of the centripetal force?
The force resulting from the planets’ velocity around the star.
The force resulting from the centripetal acceleration.
The gravitational force
Part (c) Which of the following are true statements about uniform circular motion?
An object in uniform circular motion experiences a tangential force.
An object in uniform circular motion experiences a centripetal force, an equal and opposite centrifugal force, and a tangential force.
An object in uniform circular motion experiences a centripetal force and a tangential force.
An object in uniform circular motion experiences a centripetal force.
None of these choices are true.
An object in uniform circular motion experiences no forces.

Answers

Answer:

a) The planet experiences a centripetal force towards its star

b) The universal attractive force (Gravitational force)

c)None of these choices are true.

Explanation:

This problem raise several claims, let's review some aspects of circular motion

            F = m a

the centripetal acceleration is

            a = v² / r

where v is the speed (modulus of velocity) that is constant and r is the radius

 

The direction of the acceleration is perpendicular to the motion.

Let's review the different claims

Part a) the orbital velocity is constant

The correct statement is: The planet experiences a centripetal force towards its star

Part b) what is the centripetal force

The correct statement: The universal attractive force (Gravitational force)

Part c) which statement is true

1) False. There can be no tangential force

2) False. There is a centripetal force that creates the movement, but there is no centrifugal force because the system is accelerated and there is no tangential force because the movement is circular.

3) False. There is no tangential force

4) True none is true

5) False. There is a force because movement has acceleration

A source of emf is connected by wires to a resistor, and electrons flow in the circuit. The wire diameter is the same throughout the circuit. Compared to the potential energy of an electron before entering the source of emf, the potential energy of an electron after leaving the source of emf is

Answers

Answer

The potential energy is  less

Explanation:

From the question we are told that

   The  source of  the emf is  by wires to a resistor.

Now  the potential energy of electron before leaving the source emf will be greater than the potential energy of an electron after leaving the source of emf because the resistor connected to the source emf will reduced the potential energy as it will convert some of the energy to heat

The potential energy of an electron after leaving the source of emf is lesser.

What is electro motive force?

Electro motive force is the voltage or potential difference of an electrical energy device such as battery.

The  source of  the emf is  by wires to a resistor.Now,  the potential energy of an electron before leaving the source emf will be greater than the potential energy of an electron.

After leaving the source of emf because the resistor connected to the source of emf will reduce the potential energy as it will convert some of the energy to heat.

Thus the potential energy of an electron after leaving the source of emf is lesser.

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a father and his son want to play on a seesaw. where on the seesaw should each of them sit to balance the torque

Answers

On the opposite sides, the father would out weigh the sons weight, simply because he is bigger than the son

The definite answer is “the opposites side of the seesaw”

Hope this helps you ☁︎☀︎☁︎

A father and his son want to play on a seesaw. Due to his larger size than that of the son, the father should outweigh the boy on the opposing sides.

What is seesaw?

A seesaw is a long, narrow board with a single pivot point, which is often situated in the middle of both ends. As one end rises, the other falls.

What is outweigh?

Rugby continues to have far more health advantages than hazards.

A father and his son want to play on a seesaw. Due to his larger size than that of the son, the father should outweigh the boy on the opposing sides.

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Two gratings A and B have slit separations dA and dB, respectively. They are used with the same light and the same observation screen. When grating A is replaced with grating B, it is observed that the first-order maximum of A is exactly replaced by the second-order maximum of B.
a.) I already found that the ratio of db/da is 2
b.) Find the next two principal maxima of grating A and the principal maxima of B that exactly replace them when the gratings are switched. Identify these maxima by their order numbers

Answers

Answer:

mA=2,mB=4

mA=2,mB=4 and

mA=3,mB=6

Explanation:

First of all we need to write the equation of the networks

sin θ = mA λ / dA

sin θ = mB λ / dB

Equating we have

mA λ/ dA = mB λ / dB

We are given the ratio as

dB / dA = 2

So

mA 2 = mB

Finally overlapping orders

We have

mA=2,mB=4

mA=2,mB=4

and mA=3,mB=6

An object floats in water with 58 of its volume submerged. The ratio of the density of the object to that of water is

Answers

Complete Question

 An object floats in water with 5/8 of its volume submerged. The ratio of the density of the object to that of water is:

(a) 8/5

(b) 1/2

(c) 3/8

(d) 5/8

(e) 2/1

Answer:

  The correct option is  d

Explanation:

 From the question we are told that

     The ratio of the  volume of the object submerged to the total volume of the object  is  [tex]\frac{V_w}{V_o} = \frac{5}{8}[/tex]

Generally the buoyancy force acting on the object is equal to the weight of the water displaced and this is mathematically represented as

      [tex]F_b = W[/tex]

Now the mass of the water displaced is mathematically represented as

      [tex]m_w = \rho_w * V_w[/tex]

While the mass of the object is mathematically represented as

    [tex]m_o = \rho_o * V_o[/tex]

So  

      [tex]F_b = W \ \equiv \ \rho * V_o * g = \rho * V_w * g[/tex]

   =>    [tex]\frac{V_w}{V_o} = \frac{\rho_o}{\rho_w}[/tex]

From the question that it volume of the water displace (equivalent to the volume of the object in water  ) to the volume of the total object is

        [tex]\frac{V_w}{V_o} = \frac{5}{8}[/tex]

So

     [tex]\frac{\rho_o}{\rho_w} = \frac{5}{8}[/tex]

       

Make a graph of the data. You may use a graphing program. Think about what data should be on the y-axis and the x-axis. Be sure to label each axis and note the units used in the measurements. Be sure to draw a smooth curve through the points. Do not just connect the dots. Upload your data and graph in the essay box below and answer the following questions. Did the car travel at a constant speed? What was the average speed of the car? What are some practical applications for determining the motion of an object?

Answers

Answer:

yes it was a constant speed and the car traveled 10 meters in 20 seconds.

Explanation:

Answer:

It's a constant speed and the car traveled 10 meters in 20 seconds.

hope this helps!

Explanation:

Zoning laws establish _______.

Answers

Answer:

Zoning ordinances detail whether specific geographic zones are acceptable for residential or commercial purposes. Zoning ordinances may also regulate: - size

- placement

- density

- height of structures

HOPE IT HELPS :)

PLEASE MARK IT THE BRAINLIEST!

Answer:

B

Explanation:

B on edg.

Estimate the distance (in cm) between the central bright region and the third dark fringe on a screen 5.00 m from two double slits 0.500 mm apart illuminated by 500-nm light.

Answers

Answer:

y = 1.75 cm

Explanation:

In the double-slit experiment the equation for destructive interference is

           d sin tea = (m + ½)

λ

let's use trigonometry to find the angle

         tan θ = y / L

as all the experiment does not occur at small angles

          tan θ = sin θ / cos θ = sin θ = y / L

we substitute

        y = (m + 1/2 ) λ  L / d

we calculate

         y = (3 + ½) 500 10⁻⁹ 5.00 / 0.5 10⁻³

         y = 1.75 10⁻² m

         y = 1.75 cm

Which statement best describes the liquid state of matter?
ОА.
It has definite shape but indefinite volume.
OB.
It has definite shape and definite volume.
Ос.
It has indefinite shape and indefinite volume.
OD.
It has indefinite shape but definite volume.

Answers

Answer:

OB.It has definite shape and definite volume

20 copper wires of length l and diameter d are connected in parallel to form a single composite conductor of resistance R. What is the ratio of the diameter of a single copper wire to d, if its length is also l and it has the same resistance?

Please show work and type out answer.

Answers

Answer:

D = 4.47d

Explanation:

given that

1/R(eq) = 20/R

R(eq) = R/20

also, we know that the formula for resistance is given by the relation

R = pl/A, where A is πd²/4

If we substitute the value of A, we have

R = pl/(πd²/4)

R = 4pl/πd²

Now, we substitute this in the earlier derived equation

R(eq) = (4pl/πd²) / 20

R(eq) = pl/5πd²

To find the resistance of a single wire made of the same material, the resistance is

R(D) = 4pl / πD²

R(eq) = R(D), and thus

pl/5πd² = 4pl/πD²

1/5d² = 4/D²

D² = 20d²

D = √20d²

D = 4.47 d

If a thermometer measured the temperature in an oven as 400oF five days in a row when the temperature was actually 397oF, this measuring instrument would be considered quite:

Answers

Answer:

It can be said to be reliable although it is not valid

Explanation:

This is because Reliability means an indicator of consistency, A measure should produce similar or the same results consistently if it measures the same quantity. So does the thermometer measures over 5days but it is not valid because it deviates from the real value

A vertical scale on a spring balance reads from 0 to 220 N. The scale has a length of 15.0 cm from the 0 to 220 N reading. A fish hanging from the bottom of the spring oscillates vertically at a frequency of 2.70 Hz. Ignoring the mass of the spring, what is the mass m of the fish?

Answers

Mass of fish is 5.09Kg

Explanation:

First to find the spring constant K using

k = F/s

= 220/0.15 = 1466.7 N/m

So using the formula

T = 2π√(m/k)

f = 1/T = 1/2πx √(k/m)

f² x 4π²= k/m

So

m = k/(f² x π²)

m = 1466.7/(2.7² x 4π²)

m = 5.09 kg

The allowed energies of a simple atom are 0.0 eV, 4.0 eV, and 6.0 eV. Part A What wavelength(s) appear(s) in the atom's emission spectrum

Answers

Answer:

3.1 × 10^- 7 m and 2.1 × 10^-7 m

Explanation:

First we must convert each value of energy to Joules by multiplying its value by 1.6 ×10^-19. After that, we can now obtain the wavelength from E= hc/λ

Where;

h= planks constant

c= speed of light

λ= wavelength of light

For 6.0ev;

E= 6.0 × 1.6 ×10^-19

E= 9.6 × 10^-19 J

From

E= hc/λ

λ= hc/E

λ= 6.6 × 10^-34 × 3 × 10^8/9.6 × 10^-19

λ= 2.1 × 10^-7 m

For 4.0 eV

4.0 × 1.6 × 10^-19 = 6.4 × 10^-19 J

E= hc/λ

λ= hc/E

λ= 6.6 × 10^-34 × 3 × 10^8/6.4 × 10^-19

λ= 3.1 × 10^- 7 m

(a) The wavelength of the atom's emission spectrum when the energy is 4 eV is [tex]3.1 \times 10^{-7} \ m[/tex]

(b) The wavelength of the atom's emission spectrum when the energy is 6 eV is

[tex]2.1 \times 10^{-7} \ m[/tex]

The wavelength of the atom's emission spectrum is calculated as follows;

[tex]E = hf\\\\E = \frac{hc}{\lambda}[/tex]

where;

λ is the wavelengthh is Planck's constant

For 4 eV;

[tex]\lambda = \frac{hc}{E} \\\\\lambda = \frac{(6.626 \times 10^{-34}) \times 3\times 10^8}{4 \times 1.602 \times 10^{-19}} \\\\\lambda = 3.1 \times 10^{-7} \ m[/tex]

For 6 eV;

[tex]\lambda = \frac{hc}{E} \\\\\lambda = \frac{(6.626 \times 10^{-34}) \times 3\times 10^8}{6 \times 1.602 \times 10^{-19}} \\\\\lambda = 2.1 \times 10^{-7} \ m[/tex]

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The 2-kg collar is attached to a spring that has an un-stretched length of 3.0 m. If the collar is drawn to point B and releases from rest, what is the speed when it arrives at point A. Note that k = 3.0 N/m and neglect friction.

Answers

Complete Question

The image for this question is shown on the first uploaded image

Answer:

[tex]v = 3.4 \ m/s[/tex]

Explanation:

From the question we are told that

   The mass of the collar is  [tex]m = 2 \ kg[/tex]

    The original length is  [tex]L = 3.0 \ m[/tex]

     The spring constant is  [tex]k = 3.0 \ N/m[/tex]

     

Generally the extension of the spring  is  mathematically evaluated as

        [tex]e = 4 -3 = 1 \ m[/tex]

Now with Pythagoras theorem we can obtain the length from A to B as

        [tex]AB = \sqrt{5 ^2 + 4^2}[/tex]

       [tex]AB = 6.4 \ m[/tex]

The  extension of the spring at B is  

     [tex]e_b = 6.4 - 3 = 3.4 \ m[/tex]

According to the law of energy conservation

   The energy stored in the spring at point A +  the kinetic energy of the  spring =  The  energy stored on the spring at B

So

     [tex]\frac{1}{2} * k * e + \frac{1}{2} * m* v^2 = \frac{1}{2} * k * e_b[/tex]

substituting values

    [tex]\frac{1}{2} * 3 * 1^2 + \frac{1}{2} * 2* v^2 = \frac{1}{2} * 3 * 3.4^2[/tex]

=>   [tex]v = 3.4 \ m/s[/tex]

What kind of wave is formed (transverse or longitudimal wave, pick one) is formed by ripples on a calm pond? With explanation! Please help, most detailed answer will get brainliest and many points.

Answers

Answer:

Transverse

Explanation:

It's tranverse because the water molecules are moving repeatedly up and down vertically when the waves move horizontally across the waters surface.

Consider two different isotopes of the same neutral element. Which statements about these isotopes are true?

a. Both isotopes contain the same number of protons.
b. Both isotopes contain the same number of nucleons.
c. isotopes contain the same number of neutrons.
d. Both isotopes contain the same number of orbital electrons.
d. The sum of the protons and neutrons is the same for both isotopes.

Answers

Answer:

a. d.

Explanation:

isotopes have a diff number of neutrons

Sodium has a work function of 2.46 eV.
(a) Find the cutoff wavelength and cutoff frequency for the photoelectric effect.
(b) What is the stopping potential if the incident light has a wavelength of 181 nm?

Answers

Answer:

Explanation:

given, work function of Φ = 2.46 eV.

converting the eV to joule, we have

2.45 * 1.6*10^-19 J

The cutoff wavelength is the wavelength where the incoming light does not have enough energy to free an electron, i.e. all of

the photon’s energy will be channeled into trying overcoming the work function barrier.

It is mathematically given as

Φ = hf

f = Φ/h

f = (2.46 * 1.6*10^-19) / 6.63*10^-34

f = 3.936*10^-19 / 6.63*10^-34

f = 5.94*10^14 Hz as our cut off frequency

λf = c,

λ = c/f

λ = 3*10^8 / 5.94*10^14

λ = 5.05*10^-7

λ = 505 nm as our cut off wavelength

K(max) = hf - Φ

K(max) = hc/λ - Φ

K(max) = [(6.63*10^-34 * 3*10^8) / 181*10^-9] - 3.936*10^-19

K(max) = (1.989*10^-25/181*10^-9) - 3.936*10^-19

K(max) = 1.1*10^-18 - 3.936*10^-19

K(max) = 7.064*10^-19 J or 4.415 eV

V(s) = K(max) / e

V(s) = 4.612 V

Firecrackers A and B are 600 m apart. You are standing exactly halfway between them. Your lab partner is 300 m on the other side of firecracker A. You see two flashes of light, from the two explosions, at exactly the same instant of time.
Define event 1 to be "firecracker 1 explodes" and event 2 to be "firecracker 2 explodes." According to your lab partner, based on measurements he or she makes, does event 1 occur before, after, or at the same time as event 2? Explain.

Answers

Answer:

See the explanation

Explanation:

Given:

Distance of Firecrackers A and B = 600 m

Event 1 = firecracker 1 explodes

Event 2 = firecracker 2 explodes

Distance of lab partner from cracker A = 300 m

You observe the explosions at the same time

to find:

does event 1 occur before, after, or at the same time as event 2?

Solution:

Since the lab partner is at 300 m distance from the firecracker A and Firecrackers A and B are 600 m apart

So the distance of fire cracker B from the lab partner is:

600 m  + 300 m = 900 m

It takes longer for the light from the more distant firecracker to reach so

Let T1 represents the time taken for light from firecracker A to reach lab partner

T1 = 300/c

It is 300 because lab partner is 300 m on other side of firecracker A

Let T2 represents the time taken for light from firecracker B to reach lab partner

T2 = 900/c

It is 900 because lab partner is 900 m on other side of firecracker B

T2 = T1

900 = 300

900 = 3(300)

T2 = 3(T1)

Hence lab partner observes the explosion of the firecracker A before the explosion of firecracker B.

Since event 1 = firecracker 1 explodes and event 2 = firecracker 2 explodes

So this concludes that lab partner sees event 1 occur first and lab partner is smart enough to correct for the travel time of light and conclude that the events occur at the same time.

In a region of space where the magnetic field of the earth has a magnitude of 80 μT and is directed 30° below the horizontal, a 50-cm length of wire oriented horizontally along an east-west direction is moved horizontally to the south with a speed of 20 m/s. What is the magnitude of the induced potential difference between the ends of this wire?

Answers

Answer:

V_ind = 4 × 10^(-4) V

Explanation:

We are given;

Magnetic field; B = 80 μT = 8 × 10^(-5) T

Angle;θ = 30°

Lenght;L = 50 cm = 0.5 m

Speed; v = 20 m/s

Now, formula for the induced potential difference is known as;

V_ind = NBLVsin θ

Where;

V_Ind = Induced potential difference/voltage

N = Number of turns

B = Magnetic field

V = velocity

L = length

Number of turns in this case is 1 since it's just a wire between both ends.

Thus, plugging in the relevant values, we have;

V_ind = 1 × 8 × 10^(-5) × 20 × 0.5 × sin 30

V_ind = 4 × 10^(-4) V

A liquid of density 1250 kg/m3 flows steadily through a pipe of varying diameter and height. At Location 1 along the pipe, the flow speed is 9.93 m/s and the pipe diameter d1 is 11.1 cm. At Location 2, the pipe diameter d2 is 16.7 cm. At Location 1, the pipe is Δy=8.89 m higher than it is at Location 2. Ignoring viscosity, calculate the difference ΔP between the fluid pressure at Location 2 and the fluid pressure at Location 1.

Answers

Answer:

The  pressure difference is  [tex]\Delta P = 1.46 *10^{5}\ Pa[/tex]

Explanation:

From the question we are told that

   The  density is  [tex]\rho = 1250 \ kg/m^3[/tex]

   The  speed at location 1  is  [tex]v_1 = 9.93 \ m/s[/tex]

    The  diameter at location 1 is  [tex]d_1 = 11.1\ cm = 0.111 \ m[/tex]

     The  diameter at location 2 is  [tex]d_1 = 16.7\ cm = 0.167 \ m[/tex]

     The  height at location 1 is  [tex]h_1 = 8.89 \ m[/tex]

       The  height at location 2  is  [tex]h_2 = 1 \ m[/tex]

Generally the cross- sectional area at location 1 is mathematically represented as

       [tex]A_1 = \pi * \frac{d^2}{4}[/tex]

=>     [tex]A_1 = 3.142 * \frac{ 0.111^2}{4}[/tex]

=>     [tex]A_1 = 0.0097 \ m^2[/tex]

Generally the cross- sectional area at location 2 is mathematically represented as

           [tex]A_2 = \pi * \frac{d_1^2}{4}[/tex]

=>     [tex]A_2= 3.142 * \frac{ 0.167^2}{4}[/tex]

=>     [tex]A_2 =0.0219 \ m^2[/tex]

From continuity formula

       [tex]v_1 * A_1 = v_2 * A_2[/tex]

=>     [tex]v_2 = \frac{A_1 * v_1}{A_2 }[/tex]

=>      [tex]v_2 = \frac{0.0097 * 9.93}{0.0219 }[/tex]

=>      [tex]v_2 = 4.398 \ m/s[/tex]

Generally according to Bernoulli's theorem

     [tex]P_1 + \rho * g * h_1 + \frac{1}{2} \rho * v_1^2 = P_2 + \rho * g * h_2 + \frac{1}{2} \rho * v_2^2[/tex]

=>   [tex]P_2 - P_1 = \frac{1}{2} \rho (v_1 ^2 - v_2^2 ) + \rho* g (h_1 - h_2)[/tex]

=> [tex]\Delta P = \frac{1}{2}* 1250* (9.93 ^2 - 4.398^2 ) + 1250* 9.8 (8.89- 1)[/tex]

=> [tex]\Delta P = 1.46 *10^{5}\ Pa[/tex]

A particle with charge -5 C initially moves at v = (1.00 i^ + 7.00 j^ ) m/s. If it encounters a magnetic field B =80 Tkˆ, find the magnetic force vector on the particle.

Answers

Answer:

The magnetic force is  [tex]\= F = 400\r j + 2800\r i[/tex]

Explanation:

From the question we are  told that

  The  charge is  [tex]q = -5C[/tex]

  The  velocity is  [tex]v = (1.00\ \r i + 7.00 \ \r j )\ m/s[/tex]

   The  magnetic field is  [tex]B = 80 \r k \ \ T[/tex]

Generally the magnetic force is mathematically represented as

        [tex]\= F = q \= v \ \ X \ \ \= B[/tex]

=>     [tex]\= F = -5 (1.0 \r i + 7.0 \r j ) \ \ X \ \ 80 \r k[/tex]

=>    [tex]\= F = -5.0 \r i + 35\r j \ \ \ X \ \ 80\r k[/tex]

=>  [tex]\= F = 400\r j + 2800\r i[/tex]    N/B - Applied cross - product of unit vector

Parallel rays of monochromatic light with wavelength 582 nm illuminate two identical slits and produce an interference pattern on a screen that is 75.0 cm from the slits. The centers of the slits are 0.640 mm apart and the width of each slit is 0.434 mm. If the intensity at the center of the central maximum is 4.40×10^−4 W/m^2.

Required:
What is the intensity at a point on the screen that is 0.710 mm from the center of the central maximum?

Answers

Answer:

What is the intensity is 1.3349 × 10⁻⁷ w/m²

Explanation:

Given that;

λ = 582 nm = 582 × 10⁻⁹

R = 75.0 cm = 0.75 m

d = 0.640 mm = 0.000640 m

a = 0.434 mm = 0.000434 m

I₀ =  4.40×10⁻⁴ W/m²

y = 0.710 mm  = 0.00071 m

Now to get our tanФ we say

tanФ = y/R =  0.00071 / 0.75 = 0.0009466  

Ф is so small

∴ tanФ ≈ sinФ

So

∅ = 2πdsinФ / λ

we substitute

∅ = ( 2π × 0.000640 × 0.0009466  ) /  582 × 10⁻⁹

=  6.54 rad

Now

β = 2πasinФ / λ

we substitute

β = ( 2π × 0.000434 × 0.0009466  ) /  582 × 10⁻⁹

β = 4.435 rad

I = I₀ cos²(∅/2) [(sin(β/2))/(β/2)]²

we substitute

I = 4.40×10⁻⁴ cos(3.27)² [ (sin(2.2175)) / (2.2175) ]²  

= 4.40×10⁻⁴ × 0.9967 × 0.0003044

= 1.3349 × 10⁻⁷ w/m²

The coefficient of static friction between a 3.00 kg crate and the 35.0o incline is 0.300. What minimum force F must be applied perpendicularly to the incline to prevent the crate from sliding down

Answers

Answer:

32.13 N

Explanation:

Given that

mass of the crate, m = 3 kg

angle of inclination, = 35°

coefficient of static friction, = 0.3

To solve this, we can assume that the minimum force is F Newton, then use the formula

mgsinA = coefficient of static friction * [F + mgcosA]

=>3 * 9.8 * sin35 = 0.3 * [F + 3 * 9.8 * cos35]

=> 29.4 * 0.5736 = 0.3 * [F + 29.4 * 0.8192]

=> 16.86 = 0.3 [F + 24.08]

=> 16.86 = 0.3F + 7.22

=> 16.86 - 7.22 = 0.3F

=> 0.3F = 9.64

=> F = 9.64/0.3

=> F = 32.13 N

Therefore, the Force that must be applied is 32.13 N

The  net force that must be applied is  9.8 N.

The minimum force required is Fnet.

Fnet = -Ff + mgsinθ

But Ff = μN = μmgcosθ

Fnet = - μmgcosθ + mgsinθ

Where;

m = 3.00 kg

μ =  0.300

θ = 35.0o

Substituting values;

Fnet = mgsinθ - μmgcosθ

Fnet = (3 × 10 × sin 35.0o) - (3 × 0.300  × 10 × cos  35.0o)

= 17.2 - 7.4

Fnet = 9.8 N

Learn more: https://brainly.com/question/2510654

What is the tension in the cord after the system is released from rest? Both masses (A and B) are 10-kg.

Answers

Answer:

98 N.

Explanation:

Given data: mass= 10 kg,      gravity= 9.8 m/s2

required: tension in the cord=  ?

solution:

formula of tension= mass x gravity

by putting values of mass and gravity, we get

tension= 10 x 9.8

tension= 98 N.  Ans

If the mass of the object which is attached with both ends of cord is 10 kg, so the tension which is a opposite force of weight is 98 N.

The howler monkey is the loudest land animal and can be heard up to a distance of 2.5 km. Assume the acoustic output of a howler to be uniform in all directions. At 2.5 km away from the monkey, what would be the intensity of the sound

Answers

Answer:

10⁻¹² W / m²

Explanation:

The feeble sound that a man can hear is of the vale which measures 0 on decibel scale . The intensity of sound in terms of J / m² .s is 10⁻¹² W / m² .

So the intensity of sound of monkey at 2.5 km must be 10⁻¹² W / m² .

¿Qué resistencia debe ser conectada en paralelo con una de 20 Ω para hacer una
resistencia combinada de 15 Ω?

Answers

Answer:

La resistencia que debe ser conectada en paralelo con una de 20 Ω para hacer una  resistencia combinada de 15 Ω tiene un valor de 60 Ω

Explanation:

Las resistencias son aquellos dispositivos en los circuitos eléctricos que suelen emplearse para oponerse al paso de la corriente eléctrica.

Se denomina resistencia resultante o equivalente al valor de la resistencia que se obtiene al considerar un conjunto de ellas.

Cuando tenes resistencias en paralelo la corriente se divide y circula por varios caminos.

La resistencia equivalente de un circuito de resistencias en paralelo es igual al recíproco de la suma de los inversos de las resistencias individuales:

[tex]R=\frac{1}{\frac{1}{R_{1} } +\frac{1}{R_{2} } +...+\frac{1}{R_{N} }}[/tex]

Esto también puede ser expresado como:

[tex]\frac{1}{R} =\frac{1}{R_{1} } +\frac{1}{R_{2} } +...+\frac{1}{R_{N} }[/tex]

Entonces, en este caso sabes:

R= 15 ΩR1= 20 ΩR2=?

Reemplazando:

[tex]\frac{1}{15} =\frac{1}{20}+\frac{1}{R2}[/tex]

y resolviendo:

[tex]\frac{1}{R2} =\frac{1}{15} -\frac{1}{20}[/tex]

[tex]\frac{1}{R2} =\frac{1}{60}[/tex]

se obtiene:

R2=60 Ω

La resistencia que debe ser conectada en paralelo con una de 20 Ω para hacer una  resistencia combinada de 15 Ω tiene un valor de 60 Ω

A tire swing hanging from a branch reaches nearly to the ground. How could you estimate the height of the branch using only a stopwatch?

Answers

Answer:

Explanation:

With the help of expression of  time period of pendulum we can calculate the height of the branch . The swinging tire can be considered equivalent to swinging bob of a pendulum . Here length of pendulum will be equal to height of branch .

Let it be h . Let the time period of swing of tire be T then from the formula of time period of pendulum

[tex]T = 2\pi\sqrt{\frac{l}{g} }[/tex]  where l is length of pendulum .

here l = h so

[tex]T = 2\pi\sqrt{\frac{h}{g} }[/tex]  

[tex]h = \frac{T^2g}{4\pi^2}[/tex]

If we calculate the time period of swing of tire , we can calculate the height of branch .

The time period of swing of tire can be estimated with the help of a stop watch . Time period is time that the tire will take in going from one extreme point to the other end and then coming back . We can easily estimate it with the help of stop watch .

The non reflective coating on a camera lens with an index of refraction of 1.29 is designed to minimize the reflection of 636-nm light. If the lens glass has an index of refraction of 1.56, what is the minimum thickness of the coating that will accomplish this task

Answers

Answer:

The  minimum thickness is [tex]t = 1.0192 *10^{-7} \ m[/tex]    

Explanation:

From the question we are told that

   The  refractive index is  [tex]n = 1.29[/tex]

    The  wavelength of the light is  [tex]\lambda = 636 \ nm = 636 *10^{-9} \ m[/tex]

    The  refractive index of the glass lens is  [tex]n_g = 1.56[/tex]

   

Generally the condition for destructive interference of a films is  

               [tex]2t = [ m + \frac{1}{2} ] \frac{\lambda}{n}[/tex]

for  minimum m =  0  

       [tex]2t = [ 0 + \frac{1}{2} ] \frac{\lambda}{n}[/tex]

=>    [tex]2t = [ 0 + \frac{1}{2} ] \frac{636 *10^{-9}}{1.56}[/tex]

=>  [tex]t = 1.0192 *10^{-7} \ m[/tex]    

An airplane is traveling at 400 mi/h. It touches down at an airport 2000 miles away. How long was the airplane airborne?

Answers

Answer:

5 hours

Explanation:

Given that

Speed of the airplane, v = 400 mile/hr

Distance of the airport, s = 2000 miles

This is quite a straightforward question that deals with one of the basic formulas in physics.

Speed.

speed is said to the the ratio of distance covered with respect to the time taken. This can be mathematically expressed as

Speed, v = distance covered, d / time taken, t

v = d / t

In the question above, we're looking for the time taken. So, so make t, subject of formula.

t = d / v, now we proceed to substituting the earlier given values into this equation.

t = 2000 / 400

t = 5 hrs,

therefore we can conclude that the airplane was airborne for 5 hours

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