If at a particular instant and at a certain point in space the electric field is in the x-direction and has a magnitude of 3.80 V/m , what is the magnitude of the magnetic field of the wave at this same point in space and instant in time?

Answers

Answer 1

Answer:

The value is  \(|\vec B| = 1.267 *0^{-8} \ T\)

Explanation:

From the question we are told that  

   The magnitude of the electric fields is  \(E = 3.80 V/m\)

Generally speed of light is mathematically represented as

        \(c = \frac{|\vec E|}{ |\vec B|}\)

Here c is the speed of light with value  \(c = 3.0*10^{8} \ m/s\)

        \(|\vec B |\)  is the  magnitude of the magnetic field so  

=>         \(|\vec B| = \frac{|\vec E|}{c}\)

=>         \(|\vec B| = \frac{ 3.80 }{3.0*10^{8}}\)

=>         \(|\vec B| = 1.267 *0^{-8} \ T\)


Related Questions

how much heat is needed to raise 30g of water from 20°c to 50°c

Answers

Answer:

Q = C M ΔT     (C = spec. heat, M = mass, ΔT = change in abs temp)

Q = 1 cal/gm-deg C * 30 gm * (50 - 20) deg C = 900 cal

Star A has a magnitude of 1.0 and is 60 times brighter than B. What is magnitude of B?

Answers

Answer:

The magnitude scale used in astronomy is logarithmic, meaning that each increase in magnitude represents a decrease in brightness by a factor of approximately 2.512. Therefore, if Star A has a magnitude of 1.0 and is 60 times brighter than Star B, we can calculate the magnitude of Star B as follows:

Brightness ratio = 2.512^(magnitude difference)

60 = 2.512^(magnitude of A - magnitude of B)

Taking the logarithm base 2.512 of both sides:

log base 2.512(60) = magnitude of A - magnitude of B

Solving for the magnitude of B:

magnitude of B = magnitude of A - log base 2.512(60)

magnitude of B = 1.0 - log base 2.512(60)

Calculating the value:

magnitude of B ≈ 1.0 - 2.799

magnitude of B ≈ -1.799

Therefore, the magnitude of Star B is approximately -1.799.

Explanation:

Final answer:

Using the magnitude equation, we deduced that given star A has a magnitude of 1.0 and is 60 times brighter than star B, the magnitude of star B comes out to be approximately 4.4. This computation confirms that the larger the magnitude, the fainter the star.

Explanation:

To find the magnitude of star B given that star A is 60 times brighter, we first need to understand the concept of magnitude in astronomy. In general, in the magnitude system, each difference of 1 in magnitude corresponds to a difference in brightness by a factor of about 2.512 (which is the fifth root of 100). This is represented in the equation m2 = m1 - 2.5 log(b2/b1), where m1 and m2 are the magnitudes of the two stars, and b1 and b2 are their brightness levels.

Given that star A has a magnitude of 1.0 (m1) and is 60 times brighter than star B (b2/b1), we can plug these values into the equation to get m2 = 1.0 - 2.5 log(1/60). Solving this equation, star B's magnitude comes out to be approximately 4.4. Hence, it is evident from this calculation that a larger magnitude signifies a fainter star, which aligns with the core concept of the magnitude scale in astronomy.

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I will mark brainlist if it’s a good fact.


Can someone give me a fact about space that Is NOT about how space is complete silent or about a black hole cause I already used those. I only need one more fact. And when writing the fact tell me how is that possible. And please don’t copy off the internet cause my teacher would notice. And me to.

Answers

Answer:

o Their are more stars in space than there are grains of sand on earth, and more stars are created every day, we just don't see them yet.

Explanation:

I read a lot. use any of the three facts you like. I just thought that I should let you decide which one :)

4. S. crossirostris's wings were made of a delicate flap of skin. If this flap of skin
tore, the animal could not fly. Use this information to explain how
S. crassirostris might have had trouble competing with bird species living during
the Mesozoic era.

Answers

Birds underwent significant diversification and adaptation during the Mesozoic epoch, allowing them to develop into effective and adaptable flyers.

What are the birds?

The wings of S. crossirostris, also referred to as the "delicate-winged pterosaur," were constructed of a delicate flap of skin called the patagium. This delicate membrane was prone to breaking, unlike the stiff feathers of birds.

In terms of flight prowess and ecological success, S. crossirostris would not have been able to compete with birds due to the restrictions imposed by its delicate wing structure.

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Which of the following statements is correct?
A) For a farsighted person, the near point is always located farther than 25 cm from the eye and the corrective lens is converging
B) For a farsighted person, the near point is always located farther than 1 m from the eye and the corrective lens is diverging U
C) For a nearsighted person, the near point is always located closer than infinity from the eye and the corrective lens is converging, U
D ) For a nearsighted person, the near point is always located closer than 25 cm from the eye and the corrective lens is diverging

Answers

Answer:

b

Explanation:

sorry if i got it wrong

A softball hit by a bat accelerates at 2729 m/s2. If the net force acting on the softball is 508 N, what is the softball's mass?
Round your answer to the nearest 0.001. Do not add units.

Answers

0.186 g is the softball's mass when A softball hit by a bat accelerates at 2729 m/s2.

net force= 508 N,

acceleration=2729 m/s2

softball's mass?

Force=ma

m = force/acceleration

m= 508/2729

m=0.186 g

Mass is one of the fundamental quantities in physics and the most fundamental property of matter. The quantity of matter in a body is referred to as its mass. The SI unit of mass is the kilogram.

The mass of a body is constant at all times. only when a body receives or loses a considerable amount of energy, which happens seldom. For instance, a nuclear reaction causes the mass of the material to decrease because a very little amount of matter is converted into a very high amount of energy.

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Now determine the precise time that the cars started their trip (hour:minute:second) if Car 1 passed the streetlight at 12:25:00 and was 25 seconds before Car 2. Hint: Determine how far the cars traveled and then use the known velocity of Car 1 to estimate how much travel time it needed to go that distance.

Answers

This question is incomplete, the missing part is in the image below;

Answer:

the precise time that the cars started their trip is 12:00:00

Explanation:

Given that;

from the image; The velocity of car1 V1 = 1/60 mile/seconds

Given the precise time that the car 1 passed the streetlight ( 12:25:00 )

if car 1 passed 25 seconds before car 2

meaning Car 2 passed the the streetlight at 12:50:00

now time delay is the difference between the two times; i.e

12:50:00 - 12:25:00 = 25 sec

so the distance between starting point and streetlight = 25×1 = 25 miles

Now, time required for Car1 to travel 25 miles distance will be;

t = distance/velocity of car1 = 25 / (\(\frac{1}{60}\) ) = 1500 sec = 25 min

so the precise time that the cars started their trip will be;

12:25:00 - 25 min = 12:00:00

Therefore, the precise time that the cars started their trip is 12:00:00

Now determine the precise time that the cars started their trip (hour:minute:second) if Car 1 passed

Which of the following absorbs the energy required by photosynthesis?

Answers

Answer:

There are no options, so....

Explanation:

Chlorophyll a absorbs its energy from the Violet-Blue and Reddish orange-Red wavelengths, and little from the intermediate (Green-Yellow-Orange) wavelengths.

can anyone write for me all the equation of linear motion​

Answers

All the equations of motion are as follows, Displacement (s) equation, Final velocity (v) equation, Average velocity (v_avg) equation, Displacement (s) equation with average velocity, and Displacement (s) equation.

Equations of Motion

In terms of its motion as a function of time, equations of motion define how a physical system behaves. In more detail, the equations of motion define how a physical system behaves as a collection of mathematical functions expressed in terms of dynamic variables.

s = ut + (1/2)at^2v = u + atv_avg = (u + v) / 2s = v_avg * ts = (u + v) / 2 * tv^2 = u^2 + 2as

In conclusion, equations of motion define how a physical system behaves in terms of how its motion changes over time.

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drawing shows a force vector that has a magnitude of 475 newtons.
Find the
(a) X,
(b) y, and
(c) z components of the vector.

drawing shows a force vector that has a magnitude of 475 newtons.Find the(a) X,(b) y, and(c) z components

Answers

X, Y, and Z components of the vector are 398, 384 and 279 resp.

Vector is a physical quantity which has both magnitude and direction. Vector A can be written as A = a₁i + a₂j + a₃k where a₁, a₂, a₃ are components along X, Y, Z axis resp. and i,j,k, are the unit vectors along X,Y,Z axis resp.

In this figure

vector F is at angle 36° from y axis, hence

x = Fcos33 = 475cos33 = 398 N

y = Fcos36 = 475cos36 = 384 N

z = Fsin36 =  475sin36 = 279 N

The vector can be written as

F = 398i + 384j + 279k

Hence x, y and z components of this force is 398, 384 and 279 resp.

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In the electric of capacitance 4 ,3 and 2 microfaradas, respectively, are connected in senes to a battery of 260 V , calculate the charge?​

Answers

The total charge in the circuit is 240 microcoulombs.

To calculate the total charge in a series circuit with capacitors, we need to use the formula Q = CV, where Q represents the charge, C is the capacitance, and V is the voltage.

In this case, we have three capacitors connected in series with capacitances of 4 μF, 3 μF, and 2 μF, respectively. The voltage across the circuit is 260 V.

To find the total capacitance (C_total) in a series circuit, we use the reciprocal rule: 1/C_total = 1/C1 + 1/C2 + 1/C3. Plugging in the values, we get 1/C_total = 1/4 + 1/3 + 1/2.

Simplifying this equation gives us 1/C_total = (3 + 4 + 6)/12 = 13/12. Taking the reciprocal, we find C_total = 12/13 μF.

Now, we can calculate the total charge (Q_total) using Q = C_total × V. Substituting the values, we get Q_total = (12/13) μF × 260 V.

Calculating the numerical value, Q_total = (12/13) × 260 = 240 μC (microcoulombs).
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Keyana and Sam are testing the law of conservation of energy. They use the same ball and release it from the same vertical height. Keyana is using a frictionless track, while Sam's track has friction. They discover Keyana's ball had more kinetic energy than Sam's when it reached the bottom. Which statement best explains why this happened if energy is conserved? Sam's ball lost mass as it traveled along the track. Sam's ball interacting with the track converted energy into heat. Keyana's ball was able to gain momentum. Keyana's ball had more potential energy.

Answers

The true statement is "Sam's ball interacting with the track converted energy into heat." The correct option is B.

The law of conservation of energy states that energy cannot be created or destroyed, only transferred or converted from one form to another. This means that the total amount of energy in a closed system remains constant.

The friction between Sam's ball and the track caused some of the energy to be lost as heat, while Keyana's ball experienced no such loss due to the absence of friction in her experiment. Therefore, Keyana's ball retained more of its initial potential energy as kinetic energy, resulting in a greater velocity and hence more kinetic energy at the bottom.

Option A (Sam's ball lost mass as it traveled along the track) is not true because it is not possible for the ball to lose mass during the experiment. The mass of the ball is a constant value and is not affected by the experiment.

Option C (Keyana's ball was able to gain momentum) is not the best explanation because momentum is not conserved in this scenario since external forces like friction are acting on the ball. The ball is only gaining kinetic energy.

Option D (Keyana's ball had more potential energy) is not true because both Keyana and Sam released the ball from the same vertical height. Therefore, both balls had the same initial potential energy. The difference in their kinetic energies at the bottom can be explained by the difference in their conservation of energy due to friction.

Therefore, The correct statement that best explains why Keyana's ball had more kinetic energy than Sam's when it reached the bottom, even though energy is conserved, is: Sam's ball interacting with the track converted energy into heat.

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In transverse waves, the movement of the particles is _________
O in a circle
O left to right
O diagonal
O up and down

Answers

Answer:

the correct answer is up and down

The idea that John Marshall, the first Chief Justice of the Supreme Court, singularly established the principle of judicial review in Marbury v. Madison(1803)

a. Was an idea created and supported by James Madison and his friend Marbury.b. Is ridiculous because the US Supreme Court had made constitutional rulings well before Marbury v. Madison.c. Was an idea created and supported by Congress.d. Is a well established in the historical record and the papers of John Marshall

Answers

Answer:

c. Was an idea created and supported by Congress.

Explanation:

The idea that John Marshall, the first Chief Justice of the Supreme Court, singularly established the principle of judicial review in Marbury v. Madison(1803) was an idea created and supported by Congress.

A stone is dropped from the roof of a high building. A second stone is dropped 1.04 s later.

How far apart are the stones when the second one has reached a speed of 14.7 m/s?
Express your answer to three significant figures and include the appropriate units.

A stone is dropped from the roof of a high building. A second stone is dropped 1.04 s later.How far apart

Answers

Explanation:

Let the initial speed of 2nd stone is u2 and final speed of it be v2.

Using the equation

v= u + at for the 2nd stone

We get

14.7=u2 + 10t (a=g, acceleration due to gravity)

14.7=0 +10t

Or, t= 1.47s

This is the time taken by 2nd stone to reach 14.7m/s

Now,

Total time for 1st stone=1.04 + 1.47= 2.51s

Using the equation

\(s = ut + \frac{1}{2} at {}^{2} \)

for distance travelled by 1st stone

s1=u2t + 1/2at²

u2=0 (initially it was also at rest)

\(s1 = \frac{1}{2} \times 10 \times 2.51 {}^{2} \)

therefore S = 31. 5005m

Distance travelled by 2nd stone

\(s2 = u2 + \frac{1}{2} at {}^{2} \)

\(s2 = \frac{1}{2} \times 10 \times 1.47 {}^{2} \)

therefore S2 = 10.8m

Therefore,

Distance between the stones is= s1 - s2 = 31.5005–10.8 = 20.7005

Ans:- 20.7m

Which landscape will erode more quickly? Assume the same precipitation and average temperature in each landscape.

A. Landscape A.
B. Landscape B.
C. The rates of erosion will be the same.
D. Impossible to determine.

Answers

Answer:

  B.  Landscape B

Explanation:

Shale is fine sediment pressed together to form rock.

Sandstone is larger (sand-grain-sized) sediment cemented together to form rock.

Shale erodes faster, as evidenced by the second attachment. That attachment shows erosion of a rock face consisting of interbedded shale and sandstone. The shale has receded significantly, leaving the sandstone layers with space between them.

Which landscape will erode more quickly? Assume the same precipitation and average temperature in each
Which landscape will erode more quickly? Assume the same precipitation and average temperature in each

Which state of matter does this model represent?

Image of particles loosely packed that fill the bottom of the container

Solid
Liquid
Gas
Plasma

Answers

Answer:

Liquid

Explanation:

A liquid will fill its container and are neither tightly packed like a solid nor very loosely packed like a gas.

Answer: Its Solid

Explanation:

Your car rolls slowly in a parking lot and bangs into the metal base of a light pole. In terms of safety, is it better for your collision with the light pole to be elastic, inelastic, or is the safety risk the same for either case? Explain.

Answers

Answer:

AN ELASTIC COLLISION IS SAFER

Explanation:

IT'S BECAUSE THE MOVEMENT IS PRESERVED. YEN AN ELASTIC

COLLISION, THE ELASTIC BODY ABSORBS SOME OF THE MOVEMENT.

THIS CAUSES THE CAR TO SLOW DOWN MORE SLOWLY THAN IN AN

INELASTIC COLLISION WHERE IT DECELERATES FASTER.

ANYWAY I LEAVE YOU THE LINK

(THEY ALREADY DELETED THE ENGLISH SITE, BUT YOU CAN USE

TRANSLATOR):

https://gscourses.thinkific.com

2. Identify the types of relationship for each of these expressions (linear, inverse, parabolic):
Between Kinetic energy and speed
Between potential energy and mass
between pressure and volume
between pressure and temperature
between displacement and velocity

Answers

Between Kinetic energy and speed: The relationship is quadratic or parabolic. According to the kinetic energy formula, KE = 1/2 mv^2, the kinetic energy is proportional to the square of the speed.

Between potential energy and mass: The relationship is linear. The potential energy is directly proportional to the mass. In simple cases, the potential energy is given by PE = mgh, where mass (m) and height (h) are directly proportional.

Between pressure and volume: The relationship is inverse. According to Boyle's law, the pressure and volume of a gas are inversely proportional when temperature is constant. Mathematically, P1V1 = P2V2.

Between pressure and temperature: The relationship is linear. According to Charles's law, the pressure and temperature of a gas are directly proportional when volume is constant. Mathematically, P1/T1 = P2/T2.

Between displacement and velocity: The relationship is linear. Velocity is the rate of change of displacement with respect to time, so the two are directly proportional.

1. A ball is at rest on the top of a hill (see the figure).
At the top of the hill, the ball will have [the maximum value of its, no, the minimum value of its] gravitational potential energy and [no, the maximum value of its] kinetic energy. If the ball rolls down the hill then, its [gravitational potential energy, kinetic energy] is converted to [gravitational potential energy, kinetic energy] when it gets to the ground.

2. Get your stopwatch ready and prepare to drop the object from the height h you selected in the previous step. You should drop the object so its [bottom, top, middle] part is initially at the height h. The initial speed of the ball [zero, 9.8 m/s, 9.8 m/s^2, depends on the height h] You'll need to measure the time from when the ball leaves your hand to exactly when it hits the ground [ for the first time it bounces, after it bounces and then comes to rest, both the first time and then after it bounces; then average the two times]
.

1. A ball is at rest on the top of a hill (see the figure).At the top of the hill, the ball will have

Answers

1. At the top of the hill, the ball will have the maximum value of its gravitational potential energy and the minimum value of its kinetic energy. As the ball rolls down the hill, its gravitational potential energy is converted to kinetic energy when it gets to the ground.

2. When dropping the object, you should drop it so its top part is initially at the height h. The initial speed of the ball will be zero since it starts from rest. To measure the time it takes for the ball to hit the ground, you should start the stopwatch when the ball leaves your hand and stop it when the ball hits the ground for the first time. It is recommended to perform multiple trials and calculate the average time to minimize errors.

Compare the empirical equation from y=9.8x to V= gT + V0 to determine g and V0

Answers

Answer:

Explanation:

The empirical equation y = 9.8x represents the relationship between the displacement y of an object and the time x it has been falling under the influence of gravity.

On the other hand, the equation V = gT + V0 represents the relationship between the velocity V of an object, the time T, the initial velocity V0, and the acceleration due to gravity g.

To compare the two equations, we can equate the displacement y in the first equation with the expression for displacement in terms of velocity and time, which is y = (1/2)gt^2 + V0t, where t is the time.

Substituting this into the empirical equation, we get:

9.8x = (1/2)gt^2 + V0t

We can see that this equation has three variables: g, V0, and t. We can't determine all three variables from this equation alone.

However, if we know the time it takes for an object to fall a certain distance, we can use this equation to solve for g and V0. For example, if we know that an object falls 1 meter in 0.45 seconds, we can substitute x=1 and t=0.45 into the equation:

9.8(1) = (1/2)g(0.45)^2 + V0(0.45)

Simplifying this equation, we get:

g = 19.62 m/s^2

V0 = 0.45(9.8) = 4.41 m/s

So the acceleration due to gravity is 19.62 m/s^2 and the initial velocity is 4.41 m/s. Note that these values may not be exactly equal to the true values, as the empirical equation y=9.8x is only an approximation and there may be other factors affecting the motion of the object.

What evidence would have been needed to refute the theory of gravity before it was proven to be law? HELP

Answers

Without gravity, we would not able to walk on earth, and even for the fact the atmosphere would not be there, it is pretty evident that anything dropped from a certain height always falls towards the earth.

What is gravity?

It can be defined as the force by which a body attracts another body towards its center as the result of the gravitational pull of one body and another,

We couldn't walk on the ground without gravity, and even if the atmosphere didn't exist, it is very obvious that anything thrown from a given height always falls in the direction of the earth.

Thus, there is different day-to-day life evidence to refute the theory of gravity before it was proven to be law.

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An electron moves in a circular trajectory with radius ri in a constant magnetic field. What is the final radius of the trajectory when the magnetic field is doubled? (3 Points) ri/4 ri/2 Ori 2ri 4ri

Answers

The final radius of the trajectory would be ri/2.

The radius of a circular trajectory of an electron in a constant magnetic field is given by:

r = mv/qB

where m is the mass of the electron, v is its velocity, q is its charge, and B is the magnetic field.

If the magnetic field is doubled, the radius becomes:

r' = mv/q(2B) = r/2

So the final radius of the trajectory would be ri/2.

What exactly is a magnetic field?

The magnetic field is the area surrounding a magnetic substance or a moving electric charge where the force of magnetism acts. A diagram of the magnetic field that depicts how a magnetic force is distributed throughout and around a magnetic substance.

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Charge q1 is distance r from a positive point charge Q. Charge q2=q1/3 is distance 2r from Q. What is the ratio U1/U2 of their potential energies due to their interactions with Q?

Charge q1 is distance s from the negative plate of a parallel-plate capacitor. Charge q2=q1/3 is distance 2s from the negative plate. What is the ratio U1/U2 of their potential energies?

Charge q1 is distance r from a positive point charge Q. Charge q2=q1/3 is distance 2r from Q. What is
Charge q1 is distance r from a positive point charge Q. Charge q2=q1/3 is distance 2r from Q. What is

Answers

We have that The ratio U1/U2 of their potential energies due to their interactions with Q is

\(U1/U2=6\)\(U1/U2=6\)

From the question we are told that

Question 1

Charge q1 is distance r from a positive point charge Q.

Question 2

Charge q2=q1/3 is distance 2r from Q.

Charge q1 is distance s from the negative plate of a parallel-plate capacitor.

Charge q2=q1/3 is distance 2s from the negative plate.

Generally the equation for the potential energy  is mathematically given as

\(U=\frac{-k*qQ}{r}\)

Therefore

The Equations of U1 and U2 is

For U1

\(U1=\frac{-k*q_1Q}{r}\)

For U2

\(U2=\frac{-k*q_1Q}{3*2r}\)

Since

U is a function of q and  q2=q1/3

Therefore

\(U1/U2=6\)

For Question 2

For U1

\(U1=\frac{-k*q_1Q}{s}\\\\For U2\\\\U2=\frac{-k*q_1Q}{3*2r}\)

Therefore

\(U1/U2=6\)

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Given the information in the velocity vs. time graph, what is the displacement of the object after 1 second?


_____ m


After 3 seconds?


_____ m


After 5 seconds?


_____ m


Thank you!!!

Given the information in the velocity vs. time graph, what is the displacement of the object after 1

Answers

The displacement of the object after 1 second, is 3 m.

The displacement of the object after 3 seconds, is 9 m.

The displacement of the object after 5 seconds, is 15 m.

What is displacement?

The displacement of an object is the change in the position of the object.

displacement of the object after 1 second

The displacement of the object after 1 second, x = 3 m/s x 1 second = 3 m

displacement of the object after 3 second

The displacement of the object after 1 second, x = 3 m/s x 3 s = 9 m

displacement of the object after 5 second

The displacement of the object after 1 second, x = 3 m/s x 5 s = 15 m

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Define measurement.

Answers

Answer:

Measurement is the comparison of any physical quantity of an object to a standard unit which is pre-determined. The standard units such as length, time, mass etc are known as the Fundamental units of Measurement.

Explanation:

Any object that can be measured is known as a physical quantity. So, to measure the physical quantity, we require some standard units. A measurement consists of two parts - the numerical measurement and the standard unit which is pre-determined. For example, the length of a given table is 10cm, which implies that 10 is the numerical value and the standard unit of measurement is centimeter (cm).

Measurements can be both Fundamental and Derived. Examples of Fundamental quantities are Length, Time etc, while example of Derived quantity is speed which is derived from Length and Time.

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In this problem we will consider the collision of two cars initially moving at right angles. We assume that after the collision the cars stick together and travel off as a single unit. The collision is therefore completely inelastic. Two cars of masses m1 and m2 collide at an intersection. Before the collision, car 1 was traveling eastward at a speed of v1, and car 2 was traveling northward at a speed of v2. After the collision, the two cars stick together and travel off in the direction.

Required:
a. Write the momentum conservation equation for the east-west components.
b. Write the momentum conservation equation for the north-south components.
c. Find the tangent of the angle.

Answers

Answer:

a)     vfₓ = m₁ / (m₁ + m₂) v₁,  b)    tan θ  = m₂ / m₁ v₂ / v₁, c)

Explanation:

Momentum is a vector quantity, so the consideration must be fulfilled in all axes

a) conservation of the moment east-west direction

the system is formed by the two cases, so that the forces during the sackcloth have been internal and therefore the mummer remains

before the crash

                 p₀ = m₁ v₁

after the crash

                 \(p_{f}\)= (m1 + m2) vfₓ

                p₀ = pf

                m₁ v₁ = (m₁ + m₂) vfₓ

              vfₓ = m₁ / (m₁ + m₂) v₁

b) conservation of the North-South axis moment

before the shock

                p₀ = m₂ v₂

after the crash

              p_{f} = ( m₁ +m₂) \(vf_{y}\)  

             p₀ = p_{f}

            me 2 v₂ = (m₁ + m₂) vfy

       

            \(vf_{y}\) = m₂ / (m₁ + m₂) v₂

c) the angle with which the car moves is

             tan θ = Vfy / Vfₓ

             tan θ = [m₂ / (m₁ + m₂) v] / [m₁ / (m₁ + m₂) v₁]

             tan θ  = m₂ / m₁ v₂ / v₁

The momentum conservation equation for the north-south components is \(m_1u_1 = v(m_1 + m_2)\)

The momentum conservation equation for the north-south components is \(m_2u_2 = v(m_1 + m_2)\)

The tangent of the angle is 1.

The given parameters;

angle between the initial velocity of the cars, θ = 90

Apply the principle of conservation of linear momentum of inelastic collision as shown below;

\(m_1u_1 + m_2u_2 = v(m_1 + m_2)\)

The momentum conservation equation for the east-west components is written as follows;

\(m_1(u_1cos \ 0) + m_2(u_2 cos 90)= v(m_1 + m_2)\\\\m_1u_1 = v(m_1 + m_2)\)

The momentum conservation equation for the north-south components is written as follows;

\(m_1(u_1sin 0) + m_2(u_2sin90) = v(m_1 + m_2)\\\\m_2u_2 = v(m_1 + m_2)\)

The tangent of the angle is calculated as follows;

\(tan \ \theta = \frac{p_y}{p_x} = \frac{v(m_1 + m_2)}{v(m_1 + m_2)} \\\\tan \ \theta = 1\\\\\theta = tan^{-1} (1) \\\\\theta = 45\ ^0\)

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What is sound waves

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Sound waves are a type of mechanical wave that propagate through a medium, typically air but also other materials such as water or solids.

Characteristics of sound waves

Frequency: the frequency of a sound wave refers to the number of cycles or vibrations it completes per second and is measured in Hertz (Hz).

Amplitude: the amplitude of a sound wave refers to the maximum displacement or intensity of the wave from its equilibrium position. It represents the loudness or volume of the sound, with larger amplitudes corresponding to louder sounds and smaller amplitudes corresponding to softer sounds.

Wavelength: the wavelength of a sound wave is the distance between two consecutive points in the wave that are in phase, such as from one peak to the next or one trough to the next. It is inversely related to the frequency of the wave.

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A liquid x at 25 degree Celsius is poured to a height of 40cm in a capillary tube of length 70cm and the diameter is 1cm .Assume that volume does not change with temperature. A find the initial volume of the liquid in cm^3. B. The temperature is reduced by 10°C causing the liquid to reduce in height to 37cm.Find the volume coefficient of the thermal expansion of the liquid. C. At the initial height of 40cm and temperature of 25°C , what change in temperature is needed for liquid to rise to a height of 49cm.

Answers

The initial volume of the liquid is 31.4 cm³. The volume coefficient of thermal expansion of the liquid is 0.002 per degree Celsius. A temperature increase of 109.5°C is needed for the liquid to rise to a height of 49cm.

The initial volume of the liquid can be found using the formula for the volume of a cylinder:

V = πr²h

where r is the radius (half the diameter), h is the height, and π is approximately 3.14. Plugging in the given values, we get:

V = π(0.5 cm)²(40 cm)

V = 31.4 cm³

The volume coefficient of thermal expansion (β) is defined as the fractional change in volume per degree Celsius change in temperature. It can be calculated using the formula:

β = ΔV/(VΔT)

where ΔV is the change in volume, V is the initial volume, and ΔT is the change in temperature. We can rearrange this formula to solve for ΔV:

ΔV = βVΔT

We know that ΔT = -10°C (a decrease of 10°C) and that the height decreased from 40cm to 37cm, or by 3cm. The change in volume can be found using the formula for the volume of a cylinder again, with the new height of 37cm:

ΔV = π(0.5 cm)²(40 cm - 37 cm)

ΔV = 0.59 cm³

Plugging in all the values, we get:

0.59 cm³ = β(31.4 cm³)(-10°C)

β = 0.002

To find the change in temperature needed for the liquid to rise to a height of 49cm, we can use the same formula as before, but solve for ΔT:

ΔT = ΔV/(βV)

We know that ΔV is the difference between the initial volume and the volume at the new height, which is:

ΔV = π(0.5 cm)²(49 cm - 40 cm)

ΔV = 6.86 cm³

Plugging in all the values, we get:

ΔT = 6.86 cm³/(0.002)(31.4 cm³)

ΔT = 109.5°C

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Forces that cancel each other are called_ forces \

Answers

Answer:

balanced forces

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