X-rays with wavelength of 2.0 nm scatter from a NaCL crystal with plane spacing of 0.281 nm. Find the scattering angle for the second order maxima.

Answers

Answer 1

Explanation:

Wavelength of x-rays = 2 nm

Plane spacing, d = 0.281 nm

It is assumed to find the scattering angle for second order maxima.

For 2nd order, Bragg's law is given by :

[tex]2dsin\theta =n\lambda[/tex]

For second order, n = 2

[tex]sin\theta =\frac{n\lambda}{2d} \\Sin\theta =\frac{2\times2}{2\times0.281} \\\theta =\arcsin (7.14)[/tex]

Here, θ is not defined. Also, the wavelength of x-rays is more than the plane spacing. It means that it cannot produce any diffraction maximum.


Related Questions

After landing on an unfamiliar planet, a space explorer constructs a simple pendulum of length 53.0 cm. The explorer finds that the pendulum completes 105 full swing cycles in a time of 125 s.
What is the value of the acceleration of gravity on this planet?Express your answer in meters per second per second.

Answers

Answer:

The  value is  [tex]g =  16.104 \  m/s[/tex]

Explanation:

From the question we are told that

 The  length is  [tex]l = 53.0 \ cm = 0.53 \ m[/tex]

 The  number of cycle is  [tex]n = 105[/tex]

  The time taken is  [tex]t = 125 \ s[/tex]

The period is mathematically represented as

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

Also the period is mathematically represented as

      [tex]T    =  \frac{ t}{n}[/tex]

      [tex]T  =  \frac{125}{110}[/tex]

      [tex]T  =  1.14 \ s/cycle[/tex]

So

      [tex]1.14  =  2 * 3.142  \sqrt{\frac{ 0.53}{g} }[/tex]

=>   [tex]g =  \frac{ 4 *  3.142^2 *  0.53}{1.14^2}[/tex]

=>     [tex]g =  16.104 \  m/s[/tex]

if you walk at 0.7 m/s, how long would it take to walk a mile which is 1609 m

Answers

Answer:

[tex]\Huge \boxed{\mathrm{2298.57 \ seconds}}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Explanation:

[tex]\displaystyle \sf Speed = \frac{Distance \ covered }{Time \ taken}[/tex]

[tex]\displaystyle \sf s = \frac{d }{t}[/tex]

The speed is 0.7 m/s.

The distance covered is 1609 m.

[tex]\displaystyle \sf 0.7 = \frac{1609 }{t}[/tex]

Multiplying both sides by t.

Then dividing both sides by 0.7.

[tex]\displaystyle \sf t = \frac{1609 }{0.7}[/tex]

[tex]\sf t= 2298.57[/tex]

It would take 2298.57 seconds.

[tex]\rule[225]{225}{2}[/tex]

Answer:

[tex]\huge\boxed{\sf t = 2298.57\ secs}[/tex]

Explanation:

Given:

Speed = v = 0.7 m/s

Distance = S = 1 mile = 1609 metre

Required:

Time = t = ?

Formula :

v = S/t

Solution:

v = S/t

t = S/v

t = 1609 / 0.7

t = 2298.57 secs

what was the average speed in km/h of a car that travels 490.0 km in 4.2 h?

Answers

Answer:

Below

Explanation:

[tex]Distance = 490 \:km\\Time = 4.2 \:hours\\\\Average\:speed = \frac{Distance}{Time} \\\\A.V = \frac{490}{4.2} \\\\A.V = 116.67km/h[/tex]

What is the threshold velocity vthreshold(water) (i.e., the minimum velocity) for creating Cherenkov light from a charged particle as it travels through water (which has an index of refraction of n

Answers

Answer:

2.3*10^8m/s

Explanation:

Using

V = c/n

Where c= speed of light

n = refractive index of water

By substituting

We have

V= 3*10^8m/s/1.33

= 2.3*10^8m/s

A large tanker truck carrying Blazblue extract has a capacity of 29053 liters. The density of Blazblue extract is 0.770 grams per milliliter. What is the weight, in pounds, of a full load of Blyzblah extract.

Answers

Answer:

1319.14 lb

Explanation:

From the question above,

Density of the Blazblue extract = mass of Blazblue extract/volume of Blazblue extract.

D = m/v.............. Equation 1

make m the subject of the equation

m = D×v.................... Equation 2

Given: D = 0.770 grams per millilitre, v = 29053 liters = 29053000 millilitres

Substitute these values into equation 2

m = 0.770×29053000

m = 22370810 grams

If,

1 gram = 0.00220462 pounds,

Then,

22370810 grams = (22370810×0.00220462) = 41319.14 lb

What is the electric field at a location vector b = <-0.2, -0.4, 0> m, due to a particle with charge +3 nC located at the origin?

Answers

Answer:

E = 134.85 N/C

Explanation:

We are given;

Electric field location; b = <-0.2, -0.4, 0> m

Charge: q = 3 nc = 3 × 10^(-9) C

From the location given, we have total distance;

r = √((-0.2²) + (-0.4)² + (0²))

r = √0.2

Formula for Electric field is;

E = kq/r²

where;

k is a constant with a value of 8.99 x 10^(9) N.m²/C²

q is charge on the proton particle with a costant value = 1.6 × 10^(-19) C

r is the distance

Plugging in the relevant values, we have;

E = (8.99 x 10^(9) × 3 × 10^(-9))/(√0.2)²

E = 134.85 N/C

     The Answer is: E = 134.85 N/C

We are given;Then Electric field location; b is = <-0.2, -0.4, 0> mThen Charge: q = 3 nc = 3 × 10^(-9) CAfter that From the location given, we have total distance;Then r = √((-0.2²) + (-0.4)² + (0²))Then r = √0.2The Formula for Electric field is;Then E = kq/r²where;After that k is a constant with a value of 8.99 x 10^(9) N.m²/C²Then q is charge on the proton particle with a constant value is = 1.6 × 10^(-19) CThen r is the distanceAfter that Plugging in the relevant values, we have;Then E = (8.99 x 10^(9) × 3 × 10^(-9))/(√0.2)²Thus, E = 134.85 N/C

Find out more information about  <-0.2, -0.4, 0> here:

https://brainly.com/question/13309193

If a planet was located approximately 24 thousand light-years from the center of a galaxy and orbits that center once every 194 million years, how fast is the planet traveling around the galaxy in km/hr? If needed, use 3.0 × 108 m/s for the speed of light.

Answers

84km/hr

Explanation:

To find one light yr

= 3E8m/s x 24x 365/1000

= 996980E7kms

So

Radius of orbit for 24000light years

=996980E7kms x 24000

Total orbit distance is = 2πr

= 2 *π x 996980E7kms x 24000

Total time will be

= 194E6 x 24x365 hrs

Finally speed = distance/ time

= 2 *π x 996980E7kms x 24000/194E6 x 24x365 hrs

= 84km/hr

Help!!! PLEASEEEEEEE

Answers

Answer:

I think the answer is D.

g a circular area with a radius of cm lies in the plane. What is the magnitude of 0.250 T in the

Answers

Complete Question

A circular area with a radius of 6.60 cm lies in the xy-plane. What is the magnitude of the magnetic flux through this circle due to a uniform magnetic field B = 0.250 T oriented in the following ways?

(a) in the +z-direction

Wb

(b) at an angle of 54

Answer:

a

[tex]\phi = 0.00342 \ Wb[/tex]

b

[tex]\phi = 0.00201 \ Wb[/tex]

Explanation:

From the question we are told that

   The  radius is  [tex]r = 6.60 \ cm = 0.066 \ m[/tex]

    The magnitude of the magnetic field is [tex]B = 0.250 \ T[/tex]

Generally the cross -sectional area is mathematically represented as

     [tex]A = \pi r^2[/tex]

     [tex]A = 3.142 * (0.066)^2[/tex]

     [tex]A = 0.01369 \ m^2[/tex]

Generally  when the magnetic field is oriented in the +z-direction the magnetic flux is mathematically represented as

      [tex]\phi = B* A cos(0)[/tex]

=>    [tex]\phi = 0.01369 * 0.250 * cos (0)[/tex]

=>     [tex]\phi = 0.00342 \ Wb[/tex]

  Now when the magnetic field is oriented  at an angle of 54°  the magnetic flux is mathematically represented as

      [tex]\phi = B* A cos(54)[/tex]

      [tex]\phi = 0.01369 * 0.250 * cos (54)[/tex]

     [tex]\phi = 0.00201 \ Wb[/tex]

What is the potential energy of a 2 kg mass at a height of 40 meters?

Answers

Answer:

The potential energy of a 2 kg mass at a height of 40 meters is 784 J

Explanation:

Potential energy is that energy that a body possesses due to the height at which it is located and whose unit of measurement of the International System of Units is the joule (J).

The potential energy of a body is the result of multiplying its mass by its height and by gravity:

Ep=m*g*h

Potential energy Ep, is measured in joules (J), mass m is measured in kilograms (kg), gravity, g, in meters / second-squared ([tex]\frac{m}{s^{2} }[/tex]), and height, h , in meters (m).

In this case:

Ep=?m= 2 kgg= 9.8 [tex]\frac{m}{s^{2} }[/tex]h= 40 m

Replacing:

Ep= 2 kg* 9.8 [tex]\frac{m}{s^{2} }[/tex] * 40 m

Solving:

Ep= 784 J

The potential energy of a 2 kg mass at a height of 40 meters is 784 J

A thin slab of Germanium is used as a Hall Effect probe. How would you orient a magnetic field to make the side facing out of the page be at a positive voltage with respect to the opposite side facing into the page

Answers

Answer:

the magnetic field must go in a direction parallel to the page perpendicular to the current.

Explanation:

The Hall effect is the voltage produced by the movement of electrons due to the effect of electric and magnetic fields in a material

            F = eE + v x B

The electric field goes in the direction of the current that is opposite to the direction of the electrons, therefore the magnetic force must be perpendicular to it.

Therefore, if the current goes in a direction parallel to the page, in the x direction, the magnetic field must be perpendicular to it if we use the rule of the right wizard,

thumb points in the direction of E, x axis parallel page

The fingers extended should go parallel to the page in the direction and up

The palm is the direction of the Force, where the voltage will be produced points out the page, this is for positive charges, as in germanium the charges are negative, the real force goes into the page.

Therefore the electrons accumulate on the inside of the page and the voltage is negative in this part.

Therefore the voltage is positive on the outside of the sheet. In conclusion the magnetic field must go in a direction parallel to the page perpendicular to the current.

A certain automobile is 6.0 m long if at rest. If it is measured to be 4.8 m long while moving, its speed is:

Answers

Answer:

1.8*10^8m/s

Explanation:

Using

L= lo√1-v²/c²

So making v subject we have

V= c√1-4.8²/6²

V= 0.6*c

V= 0.6*3E8m/s

V= 1.8*10^8m/s

If an object is rolling without slipping, how does its linear speed compare to its rotational speed?

Answers

Answer:

v = rw

Explanation:

When an object is rolling continuously without slipping, then every angle it rotates through, is equal to a distance the perimeter has rotated.

If the object completes 10 revolutions and takes a particular time, let's say t to complete it. The angular distance would then be 20 π rad, while its angular velocity will be 20 π/t

The circumference will somehow translate to the distance it covers, which is 20πr, this means that the speed is 20πr/t

So, like the question asked, the linear speed compared to angular speed is

v : w

20πr/t : 20πt, which can be simplified to

r : 1

In essence, v = rw

Ondrea could drive a Jetson's flying car at a constant speed of 540.0 km/hr across oceans and space, approximately how long would she take to drive from the Sun to Pluto in years? (Assume Pluto is at its average distance of 5.9 × 109 km from the Sun)

Answers

Answer:

The time taken in years is   [tex]x = 125 \  years[/tex]

Explanation:

From the question we are told that

   The  speed is  [tex]v  = 540.00 \ km /hr  =  \frac{540 *1000}{3600} =  150\  m/s[/tex]

    The distance from the sun to Pluto is  [tex]d =  5.9*10^{9} \  k m =  5.9*10^9 * 1000 =  5.9*10^{12} \  m[/tex]

Generally the time  taken is mathematically represented as

     [tex]t =  \frac{d}{v}[/tex]

=>   [tex]t = \frac{5.9*10^{11}}{150}[/tex]

=>   [tex]t =  3.933*10^{9}[/tex]

Converting to years

   [tex]1 year  \to  3.154*10^7 \  s[/tex]

    [tex]x \  years  \to 3.933*10^{9}[/tex]

=>  [tex]x = \frac{ 3.933*10^{9} * 1 }{ 3.154 *10^7}[/tex]

=>    [tex]x = 125 \  years[/tex]

If "38 %" of the light passes through this combination of filters, what is the angle between the transmission axes of the filters

Answers

Answer:

52°

Explanation:

The initial intensity [tex]I_{0}[/tex] = [tex]I[/tex]

The final intensity [tex]I_{f}[/tex] = 38% of [tex]I[/tex] = 0.38

From the polarizing equation

[tex]I_{f} = I_{0} cos^{2}[/tex]θ

substituting values, we have

[tex]0.38I = I cos^{2}[/tex]θ

0.38 = [tex]cos^2[/tex]θ

cosθ = [tex]\sqrt{0.38}[/tex]

cosθ = 0.6164

θ = [tex]cos^{-1}[/tex] 0.6164

θ = 51.9 ≅ 52°

When 10 N force applied at 30 degrees to the end of a 20 cm handle of a wrench, it was just able to loosen the nut. What magnitude of the force would require to just loosen the nut, of the force apply perpendicularly at the end of the handle

Answers

Answer:

5 N

Explanation:

From the question,

The magnitude of the force that would be required to just loosen the nut when the force is applied perpendicularly at the end of the handle is

Fy = Fsinθ................. Equation 1

Where Fy = force acting perpendicular at the end of the handle, F = Force applied to the handle, θ = angle of inclination of the force to the end of the handle.

Given: F = 10 N, θ = 30°

Substitute these values into equation 1

Fy = 10(sn30°)

Fy = 10(0.5)

Fy = 5 N.

define nuclear forces

Answers

Nuclear forces means are the forces that act between two or more nucleons. They bind protons and neutrons into atomic nuclei. The nuclear force is about 10 millions times stronger than the chemical binding that holds atoms together in molecules.

The nuclear force is a force that acts between the protons and neutrons of atoms.

The nuclear force is a force that binds the protons and neutrons in a nucleus together.This force can exist between protons and protons,neutrons and protons and neutrons and neutrons.This force is what hold the nucleus together.

All Houston Methodist buildings system wide have an emergency power generator that turns on to supply emergency power after normal power shuts down within:__________A. 5 secondsB. 30 secondsC. 60 secondsD. 10 seconds

Answers

Answer:

D. 10 seconds

Explanation:

All Houston Methodist Hospital buildings employs the use of EPSS(Emergency Power Supply System). This system employs the use of an emergency power generator that turns on to supply emergency power after normal power shuts down within 10 seconds during power outage.

Due to it being used in a hospital the importance of this emergency power system cannot be overemphasized as it is used to provide power supply to hospital equipment such as life support machines etc.

Slogan for clinical psychologist

Answers

Slang term for a Clinical psychologist is “Shrink” this term is commonly used by parents trying to be cool, and young kids who hate psychologists

Hope this helps you ♥︎

100 yards from his house. What kind of antenna should he use on the house and barn to get the best signal

Answers

Complete question:

a farmer wants to use a wireless camera he has installed in his barn which is about 100 yards from his house. what kind of antenna should he use on the house and barn to get the best signal.

Answer: Unidirectional antenna

Explanation: Based on the description given in the scenario above, the farmer should use a unidirectional antenna in other to get the best signal taking advantage of the fact that he knows where he wants the Transmission to come from. The good transmission signal attributed to unidirectional antennas stems from the fact that, the area covered is relatively small as signal transmission and radiofrequecy energy is focused in a particular direction, meaning that less area is covered using a unidirectional antenna,hiwevwr, it leverages this limitation to provide very good signal within the limited area covered.

A spherically spreading EM wave comes from an 1800-W source. At a distance of 5.0 m, what is the intensity, and what is the rms value of the electric field?

Answers

Explanation:

It is given that,

Power of EM waves, P = 1800 W

We need to find the intensity at a distance of 5 m. Also, the rms value of the electric field.

Intensity,

[tex]I=\dfrac{P}{4\pi r^2}\\\\I=\dfrac{1800}{4\pi\times (5)^2}\\\\I=5.72\ W/m^2[/tex]

The formula that is used to find the rms value of the electric field is as follows :

[tex]I=\epsilon_o cE^2_{rms}[/tex]

c is speed of light and [tex]\epsilon_o[/tex] is permittivity of free space

So,

[tex]E_{rms}=\sqrt{\dfrac{I}{\epsilon_o c}}\\\\E_{rms}=\sqrt{\dfrac{5.72}{8.85\times 10^{-12}\times 3\times 10^8}}\\\\E_{rms}=46.41\ V/m[/tex]

Hence, this is the required solution.

The path of an object projected at a 45 degree angle with initial velocity of 80 feet per second is given by the −32 2 function h(x) = (80)2 x + x where x is the horizontal distance traveled and h(x) is the height in feet. Use the TRACE feature of your calculator to determine the height of the object when it has traveled 100 feet away horizontally.

Answers

Answer:

50 feet

Explanation:

Given the the path of an object at a 45° with initial velocity of 80 feet per second modeled by the equation [tex]h(x) = (-\dfrac{32}{80^2} )x^2 + x[/tex] where;

x is the horizontal distance traveled and h(x) is the height in feet, if x is given as 100 ft, the height of the object will be gotten by simply substituting x = 100 into the modeled function as shown;

[tex]h(x) = (-\dfrac{32}{80^2} )x^2 + x\\\\h(100) = (-\dfrac{32}{80^2} )100^2 + 100\\\\h(100) = (-0.005 )100^2 + 100\\\\h(100) = (-0.005 )10,000 + 100\\\\h(100) = -50 + 100\\\\h(100) =50 feet[/tex]

Hence height of the object when it has traveled 100 feet away horizontally is 50 feet.

How large a net force is required to accelerate a 1600-kg SUV from rest to a speed of 25 m/s in a distance of 200 m

Answers

Answer:

F=2496 N

Explanation:

Given that,

Mass of SUV, m = 1600 kg

Initial speed, u = 0

Final speed, v = 25 m/s

Distance, d = 200 m

We need to find the net force. Firstly, let's find acceleration using equation of motion.

[tex]v^2-u^2=2ad\\\\a=\dfrac{v^2-u^2}{2d}\\\\a=\dfrac{(25)^2-(0)^2}{2\times 200}\\\\a=1.56\ m/s^2[/tex]

Net force, F = ma

[tex]F=1600\times 1.56\\\\F=2496\ N[/tex]

So, the net force is 2496 N.

The amount of net force that will be required to accelerate a 1600kg SUV from rest to a speed of 25 m/s in a distance of 200m is 2500N

HOW TO CALCULATE NET FORCE:

The net force of a body can be calculated by multiplying its mass by acceleration.

However, the acceleration of this SUV needs to be calculated using the following equation of motion:

v² - u² = 2as

a = v² - u²/2s

Where:

a = acceleration (m/s²)v = final velocity (m/s)u = initial velocity (m/s)s = distance (m)

a = 25² - 0²/2(200)

a = 625/400

a = 1.563m/s²

Since a = 1.563m/s²

F = 1600 × 1.563

F = 2500N

Therefore, the amount of net force that will be required to accelerate a 1600kg SUV from rest to a speed of 25 m/s in a distance of 200m is 2500N.

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Refer to a long, straight wire carrying constant current I. What can be concluded about the magnitude of the magnetic field at distance a from the wire?

Answers

Answer:

"the magnitude of the magnetic field at a point of distance a around a wire, carrying a constant current I, is inversely proportional to the distance a of the wire from that point"

Explanation:

The magnitude of the magnetic field from a long straight wire (A approximately a finite length of wire at least for close points around the wire.) decreases with distance from the wire. It does not follow the inverse square rule as is the electric field from a point charge. We can then say that "the magnitude of the magnetic field at a point of distance a around a wire, carrying a constant current I, is inversely proportional to the distance a of the wire from that point"

From the Biot-Savart rule,

B = μI/2πR

where B is the magnitude of the magnetic field

I is the current through the wire

μ is the permeability of free space or vacuum

R is the distance between the point and the wire, in this case is = a

Objects fall near the surface of the earth with a constant downward acceleration of 10 m/s2 . Suppose a falling object is moving downward at 10 m/s at a certain instant. How fast is it falling 2 sec later

Answers

Answer:

The final velocity of the object after 2 seconds is 30 m/s

Explanation:

Given;

constant downward acceleration, a =  10 m/s²

initial velocity of the object falling down, v = 10 m/s

time of fall, t = 2 s

The final velocity of the object is given by;

v = u + at

where;

v is the final velocity

v = 10 + (10)(2)

v = 10 + 20

v = 30 m/s

Therefore, the final velocity of the object after 2 seconds is 30 m/s

What is the average value of the magnitude of the Poynting vector S at 1 meter from a 100-watt lightbulb radiating in all directions

Answers

Answer:

The value  is   [tex]S =  7.96[/tex]

Explanation:

From the question we are told that

       The  power is  [tex]P =  100 \  W[/tex]

       The radius  is  [tex]r =  1 \  m[/tex]

   

Generally the average value of the magnitude of the Poynting vector is mathematically represented

          [tex]S  =  \frac{P}{4 \pi r^2}[/tex]

   =>    [tex]S =  \frac{ 100 }{ 4 *3.142 *1^2 }[/tex]

  =>     [tex]S =  7.96[/tex]

Select the correct answer. Physics is explicitly involved in studying which of these activities? A. the mixing of metals to form an alloy B. the metabolic functions of a living organism C. the motion of a spacecraft under gravitational influence D. the depletion of the atmospheric ozone layer due to pollutants E. the killing of cancerous cells by radiation therapy

Answers

Answer:  C. the motion of a spacecraft under gravitational influence.

Explanation:

A is Metallurgy, B is Biology, C is astro-physics, I am not sure what D is, but it's   safe to say it's not physics, E, micro-biology, and the study of radiation. C is the only one involving physics.

The level of toluene (a flammable hydrocarbon) in a storage tank may fluctuate between 10 and 400 cm from the top of the tank. Since it is impossible to see inside the tank, an open-end manometer with water or mercury as the manometer fluid is to be used to determine the toluene level. One leg of the manometer is attached to the tank 500 cm from the top. A nitrogen blanket at atmospheric pressure is maintained over the tank contents. To atmosphere 500 e Toluene Manoseer luld (H,0 or Hg)
a) When the toluene level in the tank is 150 cm below the top (h=150cm),the manometer fluid level in the open arm is at the height of the point where the manometer connects to the tank. What manometer reading, R (cm), would be observed if the manometer fluid is (i) mercury, (ii) water? Which manometer fluid would you use, and why?
b) Briefly describe how the system would work if the manometer were simply filled with toluene. Give several advantages of using the fluid you chose in Part (a) over using toluene.
(c) What is the purpose of the nitrogen blanket?

Answers

Answer:

A. 23.9

B.22.9

C. The levels will be equal

D. Obviously that will be to maintain atmospheric pressure

Explanation:

For mercury the pressure in both tubes at R is same so

P_left = P_right

Thus

=>>>Po + rho_t x g x (5 + R - 1.5) = Po + rho_ m x g x R

rho_t x g x (5 + R - 1.5) = rho_m x g xR

rho_t x (3.5 + R) = rho_m x R

3.5 + R = (rho_m/rho_t) x R

3.5 + R = (13560/867) x R

3.5 + R = 15.64 x R

R x (15.64 - 1) = 3.5

R = 3.5/14.64

= 0.239 m

= 23.9 cm  this is for Mercury

ii)water

similarly,

3.5 + R = (rho_w/rho_t) x R

3.5 + R = (1000/867) x R

3.5 + R = 1.153 x R

R X (1.153 - 1) = 3.5

R = 3.5/0.153

= 22.9m for water

In an 8.00km race, one runner runs at a steady 11.8 km/hr and another runs at 15.0 km/hr. How far from the finish line is the slower runner when the faster runner finishes the race?

Answers

Answer:

The slower runner is 1.71 km from the finish line when the fastest runner finishes the race.

Explanation:

Given;

the speed of the slower runner, u₁ = 11.8 km/hr

the speed of the fastest runner, u₂ = 15 km/hr

distance, d = 8 km

The time when the fastest runner finishes the race is given by;

[tex]Time = \frac{Distance }{speed}\\\\Time = \frac{8}{15} \\\\Time = 0.533 \ hr[/tex]

The distance covered by the slower runner at this time is given by;

d₁ = u₁ x 0.533 hr

d₁ = 11.8 km/hr x 0.533 hr

d₁ = 6.29 km

Additional distance (x) the slower runner need to finish is given by;

6.29 km + x = 8km

x = 8 k m - 6.29 km

x = 1.71 km

Therefore, the slower runner is 1.71 km from the finish line when the fastest runner finishes the race.

A woman exerts a horizontal force of 5 pounds on a box as she pushes it up a ramp that is 6 feet long and inclined at an angle of 30 degrees above the horizontal. Find the work done on the box.

Answers

Answer:

26 lbft

Explanation:

Given that

Force exerted by the woman, F = 5 lb

Length of the ramp, d = 6 ft

angle of inclination, θ = 30° above the horizontal

Work done on the box, W = ?

This is very much a straightforward question..

Work done, W = F * d, where the force takes the factor of the Angie if inclination. So that,

W = Fcosθ * d

On substituting, we have

W = 5 * cos 30 * 6

W = 5 * 0.866 * 6

W = 30 * 0.866

W = 25.98 lbft

Therefore, the work done on the box is 25.98 or approximately 26 lbft

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