WILL MARK AS BRAINLIEST..... A constant force vector f =2i cap+3j cap-5k cap acts on a particle and displaces it from (1,2,-3) m to (2,5,-1) m. find the work done by the force . Plzzzzzzzz helppppppppp !!!!!!!!!

Answers

Answer 1

Answer:

W = 1 J

Explanation:

Given that,

A constant force, [tex]F=2i+3j-5k[/tex]

The particle displaces it from (1,2,-3) m to (2,5,-1) m. We need to find the work done by the force.  

The position vector from (1,2,-3) m to (2,5,-1) m is (2-1, 5-2, -1-(-3)) i.e. (1, 3, 2) m

Work done is given by :

[tex]W=F{\cdot} d\\\\W=(2i+3j-5k){\cdot} (i+3j+2k)[/tex]

From dot product, i.i = j.j = k.k = 1

So,

[tex]W=2+3\times 3-5\times 2\\\\W=1\ J[/tex]

So, the work done by the force is 1 J.


Related Questions

A gas occupies a volume of 1.0 m3 in a cylinder at a pressure of 120kPa. A piston compresses the gas until the volume is 0.25m3, the temperature remaining constant. What is the new pressure of the gas?

Answers

Answer:

Approximately [tex]480\; \rm kPa[/tex], assuming that this gas is an ideal gas.

Explanation:

Let [tex]V(\text{Initial})[/tex] and [tex]P(\text{Initial})[/tex] denote the volume and pressure of this gas before the compression. Let [tex]V(\text{Final})[/tex] and [tex]P(\text{Final})[/tex] denote the volume and pressure of this gas after the compression.

By Boyle's Law, the pressure of a sealed ideal gas at constant temperature will be inversely proportional to its volume. Assume that this gas is ideal. By this ideal gas law:

[tex]\displaystyle \frac{P(\text{Final})}{P(\text{Initial})} = \frac{V(\text{Initial})}{V(\text{Final})}[/tex].

Note that in Boyle's Law, [tex]P[/tex] is inversely proportional to [tex]V[/tex]. Therefore, on the two sides of this equation, "final" and "initial" are on different sides of the fraction bar.

For this particular question:

[tex]V(\text{initial}) = 1.0\; \rm m^3[/tex].[tex]P(\text{Initial}) = 120\; \rm kPa[/tex].[tex]V(\text{final}) = 0.25\; \rm m^3[/tex].The pressure after compression, [tex]P(\text{Final})[/tex], needs to be found.

Rearrange the equation to obtain:

[tex]\displaystyle P(\text{Final}) = \frac{V(\text{Initial})}{V(\text{Final})} \cdot P(\text{Initial})[/tex].

Before doing any calculation, think whether the pressure of this gas will go up or down. Since the gas is compressed, collisions between its particles and the container will become more frequent. Hence, the pressure of this gas should increase.

[tex]\begin{aligned}P(\text{Final}) &= \frac{V(\text{Initial})}{V(\text{Final})} \cdot P(\text{Initial})\\ &= \frac{1.0\; \rm m^{3}}{0.25\; \rm m^{3}} \times 120\; \rm kPa = 480\; \rm kPa\end{aligned}[/tex].

Plzz answer this questions
will mark as brainlist ​

Answers

Answer:

1. 19.28 secs

2. 154.22 m

Explanation:

The following data were obtained from the question:

Initial velocity (u) = 16 m/s

Final velocity (v) = 0

Force (F) = 1000 N

Mass (m) = 1200 Kg

Time (t) =..?

Distance (s) =...?

Next, we shall determine the acceleration of the car. This can be obtained as follow:

Force (F) = 1000 N

Mass (m) = 1200 Kg

Acceleration (a) =.?

Force (F) = mass (m) x acceleration (a)

F = ma

1000 = 1200 x a

Divide both side by 1200

a = 1000/1200

a = 0.83 m/s²

Since the car is coming to rest, it means it is decelerating. Therefore, the acceleration is – 0.83 m/s²

1. Determination of time taken for the car to halt i.e stop. This can be obtained as follow:

Initial velocity (u) = 16 m/s

Final velocity (v) = 0

acceleration (a) = – 0.83 m/s²

Time (t) =.?

v = u + at

0 = 16 + (–0.83 x t)

0 = 16 – 0.83t

Rearrange

0.83t = 16

Divide both side by 0.83

t = 16/0.83

t = 19.28 secs.

Therefore, the time taken for the car to halt is 19.28 secs.

2. Determination of the distance travelled by the car before coming to rest. This can be obtained as follow:

Initial velocity (u) = 16 m/s

Final velocity (v) = 0

acceleration (a) = – 0.83 m/s²

Distance (s) =..?

v² = u² + 2as

0 = 16² + (2 x –0.83 x s)

0 = 256 – 1.66s

Rearrange

1.66s = 256

Divide both side by 1.66

s = 256/1.66

s = 154.22 m

Therefore, the distance travelled by the car before coming to rest is 154.22 m.

if spiderman runs and jumps horizontally from the top of a 200m high building, what does he need his velocity to be to land on a building 100m high, 10m away from him?

Answers

Answer:

v = 2.22 m/s

Explanation:

First we apply the second equation of motion to the vertical motion of the body:

s = Vi t + (1/2)gt²

where,

s = y = vertical distance covered = 200 m - 100 m = 100 m

Vi = V₀y = Vertical Component of Initial Velocity = 0 m/s  (because spider man jumps horizontally, thus his velocity has no vertical component initially)

t = Time Taken to Land on 100 m high building = ?

g = 9.8 m/s²

Therefore,

100 m = (0 m/s)t + (0.5)(9.8 m/s²)t²

t² = (100 m)/(4.9 m/s²)

t = √(20.4 s²)

t = 4.5 s

Now, we analyze the horizontal motion. Neglecting air friction, the horizontal motion is uniform with uniform velocity. Therefore,

s = vt

where,

s = x = horizontal distance covered = 10 m

v = V₀ₓ = Horizontal Component of Initial Velocity = Initial Velocity = ?

Therefore,

10 m = v(4.5 s)

v = 10 m/4.5 s

v = 2.22 m/s

One sprinter has a stride of 120cm, another 75cm. How many steps do they each take if they run a 100m race?

Answers

Explanation:

100 m / (1.20 m) = 83.3

100 m / (0.75 m) = 133.3

Rounded up, the first sprinter takes 84 steps, and the second sprinter takes 134 steps.

A heat pump operates on a Carnot heat pump cycle with a COP of 8.7. It keeps a space at 248C by consum-ing 2.15 kW of power. Determine the temperature of the reservoir from which the heat is absorbed and the heat-ing load provided by the heat pump.

Answers

Answer:

Heat of the reservoir is 461.38 K or 188.1 °C

The heating load is 18.705 kW

Explanation:

COP = 8.7

working temperature [tex]T_{h}[/tex] = 248 °C = 248 + 273.3 = 521.3 K

work power W = 2.15 kW

reservoir temperature [tex]T_{c}[/tex] = ?

heating load Q = ?

We know that

COP = Q/W

Q = COP x W = 8.7 x 2.15 = 18.705 kW

Also,

COP = [tex]\frac{T_{h} }{T_{h}- T_{c} }[/tex] = [tex]\frac{521.3}{521.3- T_{c} }[/tex]

8.7 = [tex]\frac{521.3}{521.3- T_{c} }[/tex]

4535.31 - 8.7[tex]T_{c}[/tex]  = 521.3

4535.31 - 521.3 = 8.7[tex]T_{c}[/tex]  

4014.01 = 8.7[tex]T_{c}[/tex]  

[tex]T_{c}[/tex]  = 4014.01/8.7 = 461.38 K

or 461.38 -273.3 = 188.1 °C

Determine the amount of time for polonium-210 to decay to one fourth its original quantity. The half-life of polonium-210 is 138 days. Explain.

Answers

Answer:

276 days

Explanation:

1/4 th of the original means 2 half lives

1 half life = 138 days

So,

2 half lives = 276 days

a body starts from rest and gains the velocity of 5 metre per second into second is it of uniform velocity explain​

Answers

Answer:

It is not a uniform velocity, because his velocity increases for 5 m every second (acceleration = 5m/s2), meaning his velocity always changes.

When he starts at rest, his velocity is 0 m/s. But in 1 second later, his velocity is already 5m/s. At 2 seconds, his velocity will be 10 m/s.

Explain the science behind the following statement: Magnetic heating may replace surgery to cure some infections. Is the method of alternating magnetic fields to cure internal infections in people a proven method? Explain why or why not?

Answers

Answer:

can you attach photo

Explanation:

Magnetosomes are also used to induce magnetic hyperthermia (using magnets to heat cells that have ingested magnetosomes). Scientists were able to kill the pathogenic bacterial cells of Staphylococcus aureus, a common cause of infection, by pumping them full of magnetosomes and applying magnetic heat.

What does a magnet do to heal your interior?

studies show that magnets increase amino acid production and have a positive effect on the whole body. In other words, magnets speed up metabolism and help the body function properly. They ensure that oxygen and nutrients arrive at the site of injury as soon as possible in order to repair the injury.

Magnetic Resonance Imaging (MRI) uses a very strong magnetic field and is much stronger than a household magnet can produce, but MRI does not directly affect the patient's health (MRI is a diagnostic tool). Works indirectly as).

Learn more about magnetic fields here: https://brainly.com/question/14411049

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A 0.3-m-radius automobile tire rotates how many revolutions after starting from rest and accelerating at a constant 2.13 rad/s2 over a 23.2-s interval?

Answers

Answer:

The automobile tire rotates 91 revolutions

Explanation:

Given;

angular acceleration of the automobile, α = 2.13 rad/s²

time interval, t = 23.2-s

To calculate the number of revolutions, we apply the first kinematic equation;

[tex]\theta = \omega_i \ + \frac{1}{2} \alpha t^2[/tex]

the initial angular velocity is zero,

[tex]\theta =0\ + \frac{1}{2} (2.13) (23.2)^2\\\\\theta = 573.2256 \ Rad[/tex]

Find how many revolutions that are in 573.2256 Rad

[tex]N = \frac{\theta}{2 \pi} = \frac{573.2256}{2\pi} \\\\N = 91 \ revolutions[/tex]

Therefore, the automobile tire rotates 91 revolutions

A body is thrown vertically upward and the height travelled by it is 200m , find the initial velocity and time required to reach maximum height ?

Answers

Answer:

Initial velocity(u)=62.6 m/s^2Time(t)=6.39 seconds

Solution,

Displacement(s)=200 m

Initial velocity (u)=?

Final velocity(v)=0 m/s^2

acceleration due to gravity(g)=-9.8 m/s^2

now,

[tex] {v}^{2} = {u}^{2} + 2as \\ {(0)}^{2} = {u}^{2} + 2 \times ( - 9.8) \times 200 \\ {u}^{2} = 2 \times 9.8 \times 200 \\ {u}^{2} = 3920 \\ u = \sqrt{3920} \\ u = \sqrt{ {62.6}^{2} } \\ u = 62.6 \: metre \: per \: second[/tex]

Again,

Finding time taken,

[tex]v = u + at \\ t = \frac{v - u}{a} \\ = \frac{0 - 62.6}{ - 9.8} \\ = \frac{ - 62.6}{ - 9.8} \\ = 6.39 \: seconds[/tex]

Hope this helps...

Good luck on your assignment...

Suppose that a driver applies a force of 140 N to the master cylinder, which has a diameter equal to 14 the diameter of the brake cylinder. What is the force applied by the brake cylinder on the brake shoe?

Answers

Answer:

force on brake shoes is 10 N

Explanation:

for the master cylinder;

force applied = 140 N

diameter = 14d

for brake cylinder;

force applied on the brake shoe by the brake cylinder f = ?

diameter = d

The pressure will be transmitted undiminished from the master cylinder to the brake cylinder according to pascals pressure law.

pressure = force/area

but cross sectional area is proportional to diameter of the cylinder

therefore

[tex]\frac{140}{14d } = \frac{f}{d }[/tex]

the diameters will cancel out, and we're left with

force on brake shoes = 10 N

How is mercury barometer constructed ?

Answers

Answer:

A  mercury barometer is a device use to measure stomspheric pressure and is constructed as following:

A mercury barometer requires a tube which has one close end, and one open end.Tube is placed upside down in a beaker in such a way so that one end open in the beaker and the other remain outside of the beaker. The barometric liquid (mercury) is then filled in the tube by pouring mercury liquid in the beaker.

The position of tube creates vacuum between the closed end of the tube and liquid surface and the Mercury has high density that is why used as the liquid to measure pressure.

. What happens to the polarity of an electromagnet when the direction of the current passing through it is reversed?

Answers

Answer:

The polarity of electromagnet also gets reversed when the direction of current is reversed. The current flows from negative terminal to positive terminal in an electromagnet due to the flow of electrons so polarity is also established in the electromagnet. As, the current direction is reversed, the polarity of magnet also gets reversed because the polarity of magnet depends on the direction of the current.

Un resorte se alarga 5 cm bajo la acción de una fuerza de 39,2 N. ¿Cuál es la constante del resorte? Si ahora la fuerza es 68,6 N. ¿Cuál es el nuevo alargamiento?

Answers

Answer:

[tex]k=784 N/m[/tex]

[tex]\Delta x=8,8 cm[/tex]

Explanation:

Usando la ley de Hook tenemos:

[tex]F=k\Delta x[/tex]

Solving it for k we have:

[tex]k=\frac{F}{\Delta x}[/tex]

[tex]k=\frac{39,2}{0,05}[/tex]

[tex]k=784 N/m[/tex]

Usando la misma ecuación y sabiendo k tenemos:

[tex]\Delta x=\frac{F}{k}[/tex]

[tex]\Delta x=\frac{68,6}{784}[/tex]

[tex]\Delta x=8,8 cm[/tex]

Espero esto te ayude!

Q- A body is acted upon by two forces 30N due east and 40N due North. Calculate
resultant and its direction. ​

Answers

Answer:

the following image will make you understand

Explanation:

24. Heat transfer by convection occurs when: A. Atoms give off energy in the form of radiation B. A large number of atoms move from one place to another C. Electrons collide with other electrons and with atoms. D. Electromagnetic waves travel though space to heat up an object.

Answers

Answer:

B. A large number of atoms move from one place to another

Explanation:

Convection is heat transfer by the movement of atoms of a substance from one region to another across a temperature gradient. Since atoms of solids are rigidly held in place, convection only occurs in liquids and gases since they flow.

Convection occurs when the temperature of one region of a fluid (liquid or gas) is higher than its other region. There is thus a mass movement of atoms from one region to the other due to a temperature difference. The atoms will continue to move to the region of lower temperature until the temperature of both regions are the same at an equilibrium temperature.

Do action and reaction act on the same
body or on different bodies?
plochlain
answer with Khe help of bocample. How Core
they related in magnitude and direction?

Answers

Explanation:

action and reaction forces act on the same body since these are forces that oppose that are opposite

Before beginning an experiment, Mrs. Wilson warns her science class not to drop the bar magnets on the floor. What is the most likely reason for Mrs. Wilson’s warning?

Answers

Answer:

we should not drop a magnet on the floor because the magnets tend to lose magnetism gradually and become weak over a period of time if they are not stored properly.

Answer:

Well depending on the floor like say if it was a wooden floor the magnet might lose it magnetism, if concrete floor the magnetic brake and still lose it magnetism, if a metal floor the magnet would stick not sure if it wood lose it magnetism or not but the possibilities still there, basically what I'm saying is the magnet would lose its magnetism if it were to interact with the floor maybe temporary or maybe permanently.

for those with with a learning disability it's a

Explanation:

1. How much heat energy is required to raise the temperature of a 5 kg aluminium bar
from 28°C to 68°C ?
( Specific heat capacity of aluminium = 900 J kg C)​

Answers

Answer:

180 kJ

Explanation:

Given that:

Mass (m) = 5 kg

Initial temperature (T1) = 28°C

Final temperature (T2) = 68°C

The change in temperature (ΔT) = T2 - T1 = 68°C - 28°C = 40°C

Specific heat capacity of aluminium (c) = 900 J/kg°C

The quantity of heat energy required (q) is given by:

q = mcΔT

q = 5 kg × 900 J/kg°C × 40°C

q =  180000 Joules

q = 180 kJ

Therefore 180 kJ is required to raise the temperature of aluminium from 28°C to 68°C.

In this graph, what is the displacement of the particle in the last teo seconds?
A. 0.2 meters
B. 2 meters
C. 4 meters
D. 6 meters​

Answers

Answer: B

Explanation:

Displacement is a vector quantity. it is the distance covered in a specific direction.

Whereas, Velocity = displacement/time

Make displacement the subject of formula

Displacement = velocity × time

From the graph, velocity is constant which is equal to 1 m/s

Displacement in the last two seconds will be velocity multiply by 2. Since time = 2s. Therefore,

Displacement = 1 × 2 = 2 m

So, the particle displacement in the last two seconds will be 2 metres

Three 15.0-W resistors are connected in parallel across a 30.0-V battery. Please show all work.
a) Find the current through each branch of the circuit.
b) Find the equivalent resistance of the circuit.
c) Find the current through the battery.

Answers

Answer:

Part A)

Since all of the resistors have equal resistance, hence for finding even only 1 branch It will be fine because current will be the same for all branches.

=> [tex]I = \frac{V}{R_{1} }[/tex]

=> [tex]I = \frac{30}{15}[/tex]

=> I = 2 A

Part B)

Equivalent resistance for parallel circuits is the sum of reciprocals of each resistor.

=> [tex]\frac{1}{R} = \frac{1}{R_{1}}+\frac{1}{R_{2}} +\frac{1}{R_{3}}[/tex]  

=> [tex]\frac{1}{R} = \frac{1}{15}+ \frac{1}{15}+\frac{1}{15}[/tex]

=> [tex]\frac{1}{R} = \frac{3}{15}[/tex]

=> R = 15/3

=> R = 5 ohms

Part C)

I = V/R

Where I is current, V is voltage and R is the equivalent resistance

=> I = 30/5

=> I = 6 A

PLEASE I NEED HELP WITH THIS ASAP

A student finds a rock on the way to school. In the laboratory he determines that the volume of the rock by placing the rock in a graduated cylinder with 50 cm3 of water and watched the water rise to 72.7 cm3. The student determined the mass is 39.943 g through the use of a triple beam balance. What is the density of the rock?

With step by step explanation

Answers

Answer:

density=mass/volume

39.943/22.7=1.75

Explanation:

a box is a cube with sides of 0.155 m long. if it is completely underwater, what is the buoyant force acting on it?

Answers

Answer: 36.5N

Explanation:

Given that the side length of cube (s) = 0.155m

The buoyant force also regarded as upthrust can be explained as the upward force exerted on by a fluid on an object immersed in it.

Buoyant force is calculated using the formula :

F = density × volume × acceleration due to gravity

Density of water = 1000kg/m^3

Volume of cube = s^3

Volume = 0.155^3 = 0.003723875

Recall:

density = mass / volume

Mass = density * volume

Mass = 1000kg/m^3 * 0.003723875m^3

Mass = 3.723875kg

Buoyant force or upthrust = weight of fluid displaced.

Weight = mass * acceleration due to gravity

Buoyant force = (3.723875 * 9.8)

Buoyant force = 36.493975

= 36.5N

The count rate of a radioactive source decreases from 1600 counts per minute to 400 counts per minute in 12 hours. What is the half-life of the source?

Answers

Answer:

[tex]t_{1/2}=6 h[/tex]

Explanation:

Let's use the decay equation.

[tex]A=A_{0}e^{-\lambda t}[/tex]

Where:

A is the activity at t timeA₀ is the initial activityλ is the decay constant

We know that [tex]\lambda=\frac{ln(2)}{t_{1/2}}[/tex]

So we have:

[tex]\lambda=\frac{ln(A/A_{0})}{t}[/tex]

[tex]\frac{ln(2)}{t_{1/2}}=\frac{ln(A/A_{0})}{t}[/tex]

[tex]t_{1/2}=\frac{t*ln(2)}{ln(A/A_{0})}[/tex]

[tex]t_{1/2}=6 h[/tex]

Therefore, the half-life of the source is 6 hours.

I hope it helps you!

A man weighing 80kg is standing on a trolley weighing
320kg. The trolley resting on smooth horizontal rails. If
the man starts walking on the trolley along the rails with
a speed of 1ms", then his displacement relative to the
ground after 4 second is
1) 4.8 m 2) 4 m 3) 3.2 m 4) 2.8 m​

Answers

Answer:

Net displacement = 3.2 m

Explanation:

Given:

Mass of man = 80 kg

Mass of trolley = 320 kg

Speed = 1 m/s

Time = 4 sec

Computation:

Displacement by man = 1 m/s × 4 sec

Displacement by man = 4 m

Net ext force (trolley) = com at rest

So,

320 × X = 80(4 - X)

32X = 32 - 8X

40X = 32

X = 0.8 m

Net displacement = 4 m - 0.8 m

Net displacement = 3.2 m

Answer:

3) 3.2 m

Explanation:

The computation of the displacement relative to the ground after 4 seconds is shown below:

Let us assume the following

Starting x coordinate is at the origin

As it does not involve any external force so x coordinated would remain unchanged

Now the separation between the man and the trolley is

[tex]= 4 \times 1[/tex]

= 4 m

And, we assume the displacement of man be x

So, for trolley it would be (4 -x)

Now we develop the equation which is

[tex]80 \times x = 320 \times (4 - x)[/tex]

x = 16 - 4x

Therefore x = 3.2 m

If mass of the planet is 10% less than that of
the earth and radius of the planet is 20%
greater than that of the earth then the weight
of 40kg person on that planet is

Answers

Answer:

25kg

Explanation:

The formula for acceleration due to gravity is:

[tex]g=\dfrac{GM}{r^2}[/tex]

Here, G represents a constant and M represents the mass of the object. We don't need to know the actual values to solve this, then: We can just multiply by the amount they are multiplied relative to earth.

[tex]g=\dfrac{G(0.9M)}{(1.2r)^2}=0.625g[/tex]

Multiplying this by the weight of the person on Earth of 40kg, you get 0.625*40=25kg.

Hope this helps!

Q2. Zara travelled in a train moving at an average speed of 120km/h and covered a distance of 40km towards East. Calculate the time taken by the train to cover this distance.

Answers

Answer: 20 minutes

Explanation:

Given the following :

Average speed of train = 120km/hr

Distance = 40km.

The time take by the train moving at an average speed of 120km/hr to cover a distance of 40km due is ;

Recall:

Speed = distance / time

Therefore,

Time taken = distance covered / speed

Time taken = 40km / 120km/hr

Time taken = 1/ 3 hr

Therefore, 1/3 rd of an hour equals

1/3 × 60 = 20 minutes.

Time taken) 20 minutes

Time taken by tain to cover distance is 20 minutes as:

Distance= 40 km

Speed= 120 km/h

Time= distance/speed

= 40/120

= 1/3 hour

= 20 min

or  =0.33 hrs

To know more about' Time and Speed 'visit:

https://brainly.com/question/28735144

Name the three different types of radiation and describe how they are different in their penetrating abilities. Explain.

Answers

Answer:

The three different type of radiations are:

1) Alpha (α) radiation

2) Beta (β) radiation

3) Gamma ([tex]\gamma[/tex]) radiation

Penetrating Ability:

Penetrating Ability of gamma rays is the highest.

That of Beta Rays is higher.

That of Alpha Rays is lowest

The three types of radiation are alpha particles, beta particles, and gamma rays. From least to most penetrating, alpha < beta < gamma.

What are the ranges and ionising power of these radiations?Alpha ; 3-5 cm, highly ionising.Beta ; up to 15 cm, ionising.Gamma ; more than 15 cm, weakly ionising.What is ionising radiation?

Ionizing radiation - form of energy that usually acts by removing electrons from their atoms and molecules of materials that include air, water, and living tissue.

So, these are the types of radiations.

learn more about types of radiations here;

https://brainly.com/question/1303915

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Holiday lights are often connected in series and use special lamps that short out when the potential difference across a lamp increases to the line voltage. Generate an explanation why and explain why these light sets might blow their fuses after many bulbs have failed.

Answers

Answer:

If there isn't this type of mechanism, the whole setup will blow even if only one lamp burns out. Doing this mechanism is to decrease the overall resistance resulting in an increased current (Since resistance and current are inversely related) which is the best to blast the fuse.

DOUBLE POINTS!
A tuning fork of 500 Hz is struck in a room with a speed of sound of 340 m/s. What is the distance between a point of rarefaction and the next compression point, in the resulting sound?

Answers

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Waves and it's motion.

So we here apply the formula as,

Velocity = frequency*wavelength

so here we get as,

340 = 500 * Lambda

Lambda = 340/500

so we get the distance as,

L = 0.68 m

Answer:

λ = 0.68 m

Explanation:

Distance between a point of rarefaction and the next compression point is actually the wavelength (λ)

So, we'll find wavelength here:

Given:

Frequency = f = 500 Hz

Speed = v = 340 m/s

Required:

Wavelength = λ = ?

Formula:

v = f λ

Solution:

λ = v/f

λ = 340/500

λ = 0.68 m

Other Questions
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