If the car speeds up at a steady 1. 7 m/s2 , how long after starting is the magnitude of its centripetal acceleration equal to the tangential acceleration?.

Answers

Answer 1

The centripetal acceleration is equal to the tangential acceleration after: t = time taken by the car to reach 10.29 m/s = v / a = 10.29 / 1.7 ≈ 6.05 sec. Answer: 6.05 sec

The centripetal acceleration is given as,ac = v²/r .........(1)

And the tangential acceleration is given as,

at = a .............(2)Given that, ac = at

We know that at = a .............(2)ac = v²/r

Putting the value of ac and at, we getv²/r = a

Solving for v, we get

v = sqrt(ar)Now, we know that acceleration a = 1.7 m/s², and r = 70 m (given in the previous question)

So, putting the values of a and r in the above equation, we get

v = sqrt(1.7 x 70) = 10.29 m/s

We can find the time t from the first equation using the value of v.We know that ac = v²/r, and putting the values, we get

ac = (10.29)²/70ac = 1.4989 m/s²

The tangential acceleration is given as at = 1.7 m/s² (from equation 2)

Therefore, the centripetal acceleration is equal to the tangential acceleration after:t = time is taken by the car to reach 10.29 m/s = v / a = 10.29 / 1.7 ≈ 6.05 sec. Answer: 6.05 sec

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Related Questions

what is online calculator of resistor color code

Answers

An online calculator of resistor color code is a tool that allows you to determine the value of a resistor based on the color bands that are marked on it.

To use the online calculator, you simply enter the colors of the bands on the resistor, and the calculator will provide you with the value of the resistor in ohms.

Some online calculators may also provide additional information, such as the tolerance and temperature coefficient of the resistor.

There are many online calculators of resistor color code available on the internet. Some popular examples include the calculators provided by Digi-Key, Ohm's Law Calculator, and RapidTables.

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the angle between incident ray and reflected ray is 130.what is the value of angle of incidence​

Answers

Answer:

65

Explanation:

as i = r , so i + i = 130

so , i = 130/2 =65

Answer:

please find attached file

Explanation:

the angle between incident ray and reflected ray is 130.what is the value of angle of incidence

______ is a simple movement in which two opposing surfaces slide slightly back-and-forth or side-to-side with respect to one another.

Answers

Answer:

Flashcards

Explanation:

Make me brainlist

As light from a star spreads out and weakens, do gaps form between the photons?​

Answers

Answer:

ggggggfjhfbgehfe no idk yes maybe

Explanation:

A frictionless piston-cylinder device as shown in Figure Q4 contains 7.5 liters of saturated liquid water at 275kPa. An electric resistance is installed in it and is being turned on until 3050 kJ of energy is transferred to the water. Assume the piston-cylinder device is well insulated, determine i) the mass of water, kg, ii) the final enthalpy of water, k J/kg, iii) the final state and the quality (x) of water, iv) the change in entropy of water, kJ/kg, and v) whether the process is reversible, irreversible, or impossible. Sketch the process on P−v diagram with respect to the saturation lines.

Answers

A frictionless piston-cylinder device contains 7.5 liters of saturated liquid water at 275 kPa. An electric resistance is turned on until 3050 kJ of energy is transferred to the water.

i) The mass of water can be determined by using the specific volume of saturated liquid water at the given pressure and volume. By using the specific volume data from the steam tables, the mass of water is calculated to be 6.66 kg.

ii) To find the final enthalpy of water, we need to consider the energy added to the water. The change in enthalpy can be calculated using the energy equation Q = m(h2 - h1), where Q is the energy transferred, m is the mass of water, and h1 and h2 are the initial and final enthalpies, respectively. Rearranging the equation, we find that the final enthalpy of water is 454.55 kJ/kg.

iii) The final state and the quality (x) of water can be determined by using the final enthalpy value. The final enthalpy falls within the region of superheated vapor, indicating that the water has completely evaporated. Therefore, the final state is a superheated vapor and the quality is 1 (x = 1).

iv) The change in entropy of water can be obtained by using the entropy equation ΔS = m(s2 - s1), where ΔS is the change in entropy, m is the mass of water, and s1 and s2 are the initial and final entropies, respectively. The change in entropy is found to be 10.13 kJ/kg.

v) The process described is irreversible because the water started as a saturated liquid and ended up as a superheated vapor, indicating that irreversibilities such as heat transfer across a finite temperature difference and friction have occurred. Therefore, the process is irreversible.

On a P-v diagram, the process can be represented as a vertical line from the initial saturated liquid state to the final superheated vapor state, crossing the saturation lines.

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Think about holding a glass of cold water. Your hand is warmer than the glass. Do the particles in your hand or those in the glass of cold water move faster? Why?​

Answers

technically usually the warmer object/substances particles move master which causes friction among the particles plus the kinetic energy being converted to thermal energy, so i would say the hand.

You push a box at a constant speed of 5m/s and let it go. It stops 1.5s later due to the force of friction. If you push the box at a speed of 12m/s, how long will it take to stop?

Answers

Answer:

the time taken for the box to stop is 3.6 s.

Explanation:

Given;

initial speed with which the box was pushed, u = 5 m/s

time taken for the box to stop, t = 1.5 s

Assuming the box is moving at constant acceleration, a;

\(a = \frac{u}{t} \\\\a = \frac{5}{1.5} \\\\a = 3.33 \ m/s\)

When the box is pushed a speed of 12 m/s, the time taken for the box to stop is calculated as;

\(t = \frac{v}{a} \\\\t = \frac{12}{3.33} \\\\t = 3.6 \ s\)

Therefore, the time taken for the box to stop is 3.6 s.

1) Students watched a cartoon either alone or with others and then rated how funny they found the cartoon to be. Independent Variable: Dependent Variable:

Answers

Students watched a cartoon either alone or with others and then rated how funny they found the cartoon to be.

Independent Variable:  student alone or with others

Dependent Variable:   how funny student thought the cartoon was

Answer:

Independent Variable: Watching cartoon alone or with others

Dependent Variable: how funny they found the cartoon to be

Explanation:

A dependent variable is the variable being tested. The change in the value of dependent variable depends on the independent variable.

An independent variable is used to test the effects on dependent variable and its does not depend on any variable.

In the above example the dependent variable is how funny the cartoon was. This is being tested and it is tested by independent variable i.e. Students watching cartoon either alone or with others. So the cartoon is funny or not depends on watching cartoon alone or with friends.

Where do you find the atoms with the strongest metallic properties on the periodic table?
A. the upper left
B. the lower right
C. the lower left
D. the lower right

Answers

Answer:

Key Takeaways: Metallic Character​​ These properties include metallic luster, formation of cations, high electrical and thermal conductivity, and ...

Explanation:

The atoms with the strongest metallic properties on the periodic table are found in upper left corner of periodic table. The correct option is A.

The upper left corner of the periodic table is typically where one can find the atoms with the strongest metallic properties. Alkali metals and alkaline earth metals which are renowned for their high electrical conductivity, luster and malleability are found in this region. These elements are easy to lose and easily form positive ions because they have few valence electrons in their outermost energy levels.

Due to growing atomic size and declining electronegativity, metallic properties tend to become more noticeable as you move down and to the left in this region. On the other hand nonmetals and metalloids with stronger nonmetallic properties such as high electronegativity and poor electrical conductivity make up the lower right region.

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what happens to a sound wave when the amplitude of the wave is changed?

Answers

When the amplitude of a sound wave is changed, the loudness or intensity of the sound will change, but the pitch and frequency of the sound will remain the same.

The amplitude of a sound wave refers to the maximum displacement of the particles of the medium through which the sound is traveling. It is a measure of the energy of the sound wave.

When the amplitude is increased, more energy is present in the wave, and the sound is perceived as being louder. Conversely, when the amplitude is decreased, less energy is present in the wave, and the sound is perceived as being quieter.

It's important to note that the amplitude of a sound wave is also related to the sound pressure level (SPL) which is measured in decibels (dB), an increase in amplitude leads to an increase in SPL and vice versa.

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What is the resistance of a circuit contains two 50. 0 resistors connected in series with a 12. 0 v battery

Answers

The resistance of a circuit that contains two 50.0 Ω resistors connected in series with a 12.0 V battery is 100 Ω. The resistance of the circuit is equal to the sum of the individual resistors when they are connected in series.

In this case, two 50.0 Ω resistors are connected in series, resulting in a total resistance of 100 Ω. Resistance can be defined as the obstruction that electricity faces when it travels through a conductor. The greater the resistance, the less current is allowed to flow through the circuit. The following equation is used to calculate resistance: R = V / IWhere R is resistance, V is voltage, and I is current.

Resistance can also be calculated using Ohm's Law if we know the values of voltage and current. When resistors are connected in series, the total resistance of the circuit is equal to the sum of the individual resistors. This is expressed by the following equation:RT = R1 + R2 + ... + RNWhere RT is the total resistance of the circuit, and R1, R2, and RN are the individual resistors. In this case, the circuit contains two 50.0 Ω resistors connected in series.

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I REALLY NEED HELP!!

The velocity of a car increases from +4.0 m/s to +16.0 m/s
in a time period of 4.0 s. What was the average
acceleration?

Answers

Answer:

Explanation:

Although we do have an equation for this in terms of one-dimensional motion, it's easy enough just to use the mathematical definition of acceleration:

\(a=\frac{v_f-v_0}{t}\)  which says, in words, the acceleration of an object is equal to the objects final velocity minus its initial velocity, divided by the change in time. Since everything is given in m and s, our answer will be in m/s/s:

\(a=\frac{16.0-4.0}{4.0}\) and

\(a=\frac{12.0}{4.0}\) so

a = 3.0 m/s/s

what is the result of raising the temperature of the room in which a low-pressure chiller is located

Answers

Answer:

the result of raising the temperature of the room in which a low-pressure chiller is located is a

Faster Refrigerant Recovery

On increasing the temperature, the pressure of chiller will increase, causing the blow of hot air in the condenser, which is quite harmful for mechanism of machine.

The given problem is based on the effect of raising temperature on low-pressure chiller.

When temperature of room is raised, then the thermal energy waves last more longer and can cause various organic changes due to variation of chemical reactions.Since, the pressure is directly proportional to temperature. On increasing the temperature, one must increase the pressure of chiller and If the pressures get too high due to lack of air flow, or too hot of air being pulled in through the condenser of chiller, the pressure is going to rise in the machine, the switch will get damaged.

Thus, we can conclude that on increasing the temperature, the pressure of chiller will increase, causing the blow of hot air in the condenser, which is quite harmful for mechanism of machine.

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When you are describing the rate that a race car goes around a track, should you use the term speed or velocity to describe the motion

Answers

Answer:

Speed

Explanation:

Speed is a description of how fast an object moves; velocity is how fast and in what direction it moves. In physics, velocity is the speed in a given direction.

Answer:

speed

Explanation:

Speed is a description of how fast an object moves; velocity is how fast and in what direction it moves. In physics, velocity is speed in a given direction. When we say a car travels at 60 km/h, we are specifying its speed. When we say a car moves at 60 km/h to the north, we are specifying its velocity.

write any two factors that affect the speed of sound in gaseous medium sound waves can't propagate in vaccum why ​

Answers

Explanation:

effect of density in speed of sound.effect of direction of wind in speed of sound.

because there is no medium to travel sound in vacuum.

hope it helps.

Two heavy blocks are connected by a uniform rope that has a mass of 4.00 kg. An upward force of 200 N is applied to ↑F=200 N3 the upper block. 6.00 kg a. Draw three diagrams-one for each block and one for the rope-- showing 4.00 kg the forces acting on each. For each force identify what is exerting the force b. What is the acceleration of the entire system? c. What is the tension at the top of the rope? d. What is the tension at the middle of the rope? 5.00 kg

Answers

When two heavy blocks were connected by a uniform rope that has a mass of 4.00 kg, acceleration of the system was found to be 2.7 m/s²; the tension at the top of heavy rope was 136.5 N;  the tension exerted at the midpoint of the rope was112.5N.

Tension is defined as the act of stretching or straining or the condition of  a substance being stretched or strained.

a) Acceleration of the system can be calculated as

a=Fn/m

={200-(16x9.8)}/16

=2.7m/s²

so therefore the acceleration of the system was calculated and found to be=2.7m/s²

b) the tension of the heavy rope at the top can be calculated as

200-50-T1=5(2.7)

T1=136.5N

the tension at the top of heavy rope was 136.5 N

c)the tension at the middle point of the rope was

T2-9g = 9(a)

         =9(g+a)

         =9(9.8+2.7)

         =112.5 N

so here the tension exerted at the midpoint of the rope was 112.5N.

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A car travels from rest (0) to 60 m/s in 5 seconds. What is its acceleration?

Answers

Answer:

12 meters per seconds......

Explanation:

60/5=12

A  car travels from rest to 60 m/s in 5 seconds, so its acceleration is 12 m/\({s}^2\) (60-0/5), and the acceleration is calculated by subtracting the final from the initial and by diving with the time.

What is the significance of the acceleration?

Acceleration is the unit that describes the change in velocity, such as the quickness or slowness of the car, and when the acceleration is very high, there is a high chance of colliding and an accident occurring, but this is important for vehicles such as sports cars and racing cars. While low acceleration is used in magnetic resonance imaging in the medical field, it is also used in the industrial sector for robotics, etc.

Hence, a car travels from rest to 60 m/s in 5 seconds, so its acceleration is 12 m/\({s}^2\) (60-0/5), and the acceleration is calculated by subtracting the final from the initial and by diving with the time.

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if earth did not rotate, air would flow: group of answer choices perpendicular to the isobars, i.e., straight across the isobars. parallel to the isobars.

Answers

If the Earth did not rotate, air would flow perpendicular to the isobars, i.e., straight across the isobars. This is because the direction of the wind is determined by the difference in pressure between two points.

On a non-rotating Earth, the pressure gradient would always be perpendicular to the isobars. Therefore, the wind would blow straight across the isobars from high pressure to low pressure.

However, the rotation of the Earth causes the Coriolis effect, which causes the direction of the wind to be deflected to the right in the Northern Hemisphere and to the left in the Southern Hemisphere. This effect causes the wind to flow parallel to the isobars rather than straight across them. The stronger the pressure gradient, the greater the deflection caused by the Coriolis effect, resulting in faster wind speeds.

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Express 48 m/s in terms of
1.km/h
2.m/min
3.km/s
4.km/minutes

Answers

48 m/s in terms of km/h is 720.8 km/h. In terms of m/min is 2880 m/min, in terms of km/s is 0.048 km/s and in terms of km/min is 2.88 km/min.

To solve this question, we need to understand some terms. The unit of velocity is measured in m/s. It can be expressed in different units of velocity.

1 km (kilometer) = 1000 meter

1 h (hour) = 3600 seconds

1 minutes = 60 seconds

To convert m/s into km/h,

48 m/s * 3600/1000 =  172.8 km/h

To convert m/s into m/min,

48 m/s * 60 = 2880 m/min

To convert m/s into km/s,

48 m/s ÷ 1000 = 0.048 km/s

To convert m/s into km/minutes,

48 m/s * 60 / 1000 = 2.88 km/min

Therefore, the 48 m/s expressed is 172.8 km/h, 2880 m/min, 0.048 km/s and 2.88 km/min.

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48 m/s is equivalent to  172.8 km/h, 2880 m/min, 0.048 km/s, and 2.88 km/minute.

To express 48 m/s in different units of velocity:

km/h (kilometers per hour):

To convert m/s to km/h, we can use the conversion factor of 3.6 since 1 m/s is equal to 3.6 km/h.

48 m/s * (3.6 km/h / 1 m/s) = 172.8 km/h

Therefore, 48 m/s is equivalent to 172.8 km/h.

m/min (meters per minute):

To convert m/s to m/min, we can use the conversion factor of 60 since there are 60 seconds in a minute.

48 m/s * (60 m/min / 1 s) = 2880 m/min

Therefore, 48 m/s is equivalent to 2880 m/min.

km/s (kilometers per second):

Since 1 kilometer is equal to 1000 meters, to convert m/s to km/s, we divide the value by 1000.

48 m/s / 1000 = 0.048 km/s

Therefore, 48 m/s is equivalent to 0.048 km/s.

km/minute (kilometers per minute):

To convert m/s to km/minute, we first need to convert m/s to km/s (as calculated in the previous step) and then multiply by 60 to convert seconds to minutes.

0.048 km/s * 60 = 2.88 km/minute

So, 48 m/s is equivalent to 2.88 km/minute.

Hence, 48 m/s is equivalent to approximately 172.8 km/h, 2880 m/min, 0.048 km/s, and 2.88 km/minute.

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find the work done by the force field on a particle that moves along the helix .

Answers

Answer:

77

Explanation:

7. Una locomotora de 80.000 kilogramos de masa, parte del reposo y a los 10 segundos lleva una velocidad de 36Km/h. Halla: A. La aceleración del movimiento. B. La fuerza que causa el movimiento.

Answers

Answer:

a) La aceleración del movimiento es 1 metros por segundo al cuadrado, b) La fuerza que causa el movimiento es 80.000 newtons.

Explanation:

a) Supóngase que la locomotora acelera uniformemente, la aceleración se está descrita por la siguiente ecuación cinemática:

\(v = v_{o}+a\cdot t\)

Donde:

\(v_{o}\) - Rapidez inicial, medida en metros por segundo.

\(v\) - Rapidez final, medida en metros por segundo.

\(a\) - Aceleración, medida en metros por segundo al cuadrado.

\(t\) - Tiempo, medido en segundos.

Se despeja la aceleración:

\(a = \frac{v-v_{o}}{t}\)

Si \(v_{o} = 0\,\frac{m}{s}\), \(v = 10\,\frac{m}{s}\) y \(t = 10\,s\), la aceleración del movimiento es:

\(a = \frac{10\,\frac{m}{s}-0\,\frac{m}{s}}{10\,s}\)

\(a = 1\,\frac{m}{s^{2}}\)

La aceleración del movimiento es 1 metros por segundo al cuadrado.

b) Dado que una locomotora es un sistema de masa constante, la fuerza (\(F\)) que genera el movimiento es igual a:

\(F = m\cdot a\)

Donde:

\(m\) - Masa, medida en kilogramos.

\(a\) - Aceleración, medida en metros por segundo al cuadrado.

Dados que \(m = 80.000\,kg\) y \(a = 1\,\frac{m}{s^{2}}\), la fuerza que causa el movimiento es:

\(F = (80.000\,kg)\cdot \left(1\,\frac{m}{s^{2}} \right)\)

\(F = 80.000\,N\)

La fuerza que causa el movimiento es 80.000 newtons.

When the air temperature decreases, the rate of evaporation:______

Answers

Answer: Decreases

Explanation:

why does the green colour of iron (ii) chloride change to yellow when chlorine gas is bubbled into it

Answers

Answer:

FeCl2 has a high melting point.

Explanation:

Iron is seen to get oxidized by addition of chlorine 3 as the product is rust colored and on dissolving in water has a yellow orange color. This is characterized by the aquatic iron and is due to the monohydroxy

what is the electric potential difference between two points that are 2.00 cm and 3.00 cm from a proton?

Answers

The electric potential difference between the two points is approximately -2.4 x 10^3 V. Note that the negative sign indicates that the potential is lower at the point farther from the proton.

The electric potential difference between two points in an electric field is the work done in moving a unit of positive charge from one point to the other.

In this case, the electric field is created by a proton, which has a charge of +1.6 x 10^-19 Coulombs. We need to find the electric potential difference between two points at distances 2.00 cm and 3.00 cm from the proton.

First, we need to convert the distances to meters:
2.00 cm = 0.02 m
3.00 cm = 0.03 m

Next, we will use the electric potential formula, which is given by:

V = (k * q) / r

Here, V is the electric potential, k is Coulomb's constant (8.99 x 10^9 N·m²/C²), q is the charge of the proton (+1.6 x 10^-19 C), and r is the distance from the proton.

Now, calculate the electric potential at each distance:

V1 = (8.99 x 10^9 N·m²/C² * 1.6 x 10^-19 C) / 0.02 m ≈ 7.19 x 10^3 V
V2 = (8.99 x 10^9 N·m²/C² * 1.6 x 10^-19 C) / 0.03 m ≈ 4.79 x 10^3 V

Finally, find the electric potential difference between the two points:

ΔV = V2 - V1 = 4.79 x 10^3 V - 7.19 x 10^3 V ≈ -2.4 x 10^3 V

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What is the unit of pressure? Why is it called a derived unit?
Why has SI system​

Answers

Answer:

pascal

Explanation:

its obtained after either division or multiplication

A cat jumps on the piano keyboard. It walks 27 keys to the right, 13 keys to the left, 18 keys to the right, 57 keys to the left and finally back to the right 33
keys befor it jumps back down.
What is the cats distance?
keys
What is the cats displacement and direction?
keys

Answers

Answer:

Distance = 148 keys

Displacement = 8 keys to the right

Explanation:

DISTANCE:

For distance, we do not consider the direction. Therefore, the distance will be the sum of all keys travelled by the cat:

Distance = 27 keys + 13 keys + 18 keys + 57 keys + 33 keys

Distance = 148 keys

DISPLACEMENT:

For displacement we consider the right direction as positive and the left direct as negative:

Displacement = 27 keys - 13 keys + 18 keys - 57 keys + 33 keys

Displacement = + 8 keys

which means that net displacement is:

Displacement = 8 keys to the right

PLEASE HELP!!! ANSWER QUICK!

PLEASE HELP!!! ANSWER QUICK!

Answers

The answer is C im a math sub its pretty easy

Three astronauts guide a 100 kg asteroid safely away from their space capsule. The first astronaut pushes with a 35 N force directed 45 degrees below the x-axis. The second astronaut pushes with a 35 N force directed 45 degrees above the -axis. The third astronaut pushes with a 35 N force along the x-axis. Calculate the magnitude of the net force exerted by the three astronauts. Calculate the rate (magnitude only) at which the asteroid's velocity changes.

Answers

The magnitude of the net force exerted by the three astronauts is 84.5 N and the rate at which the asteroid's velocity changes is 0.845 m/s².

The given parameters;

mass of the asteroid = 100 kgforce by first astronaut = 35 N, at 45 degrees below x -axisforce by second astronaut = 35 N, at 45 degrees above x-axisforce by third  astronaut = 35 N, at 0 degrees on x-axis

The resultant horizontal force applied by the three astronauts on the asteroid is calculated as;

Fₓ = 35cos(45) + 35cos(45) + 35cos(0)

Fₓ = 84.5 N

The rate at which the asteroid's velocity changes is calculated as;

\(F = ma = m\frac{\Delta v}{\Delta t} \\\\\frac{\Delta v}{\Delta t} = \frac{F}{m} \\\\\frac{\Delta v}{\Delta t} = \frac{84.5}{100} \\\\\frac{\Delta v}{\Delta t} = 0.845 \ m/s^2\)

Thus, the magnitude of the net force exerted by the three astronauts is 84.5 N and the rate at which the asteroid's velocity changes is 0.845 m/s².

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Consider an electromagnetic wave having a peak magnetic field strength of 2.5 × 10 − 9 T. Find the average intensity of such a wave in W / m 2 .

Answers

The average intensity of such an electromagnetic wave is approximately 9.81 × 10^−12 W/m².

To find the average intensity of the electromagnetic wave, we can use the equation:
I = (1/2)εcE^2
where I is the intensity, ε is the permittivity of free space (8.85 × 10^-12 F/m), c is the speed of light (3 × 10^8 m/s), and

E is the peak electric field strength.

However, we are given the peak magnetic field strength, not the peak electric field strength.

So, we need to use the relationship between the magnetic field and electric field in an electromagnetic wave:
B = E/c
where B is the peak magnetic field strength.

Rearranging this equation, we can solve for E:
E = Bc

Substituting this into the equation for intensity, we get I = (1/2)εc(Bc)^2
Simplifying this expression, we get I = (1/2)εc^3B^2

Now we can plug in the given value for the peak magnetic field strength:
I = (1/2)(8.85 × 10^-12 F/m) (3 × 10^8 m/s)^3(2.5 × 10^-9 T)^2

Calculating this expression, we get:
I = 2.34 × 10^-15 W/m^2
Therefore, the average intensity of the electromagnetic wave is 2.34 × 10^-15 W/m^2.

To find the average intensity of the electromagnetic wave with a peak magnetic field strength of 2.5 × 10^−9 T, we can use the following formula:

Intensity (I) = (1/2) × μ₀ × c × B₀^2
where:
μ₀ = permeability of free space (4π × 10^−7 T·m/A)
c = speed of light in a vacuum (3 × 10^8 m/s)
B₀ = peak magnetic field strength (2.5 × 10^−9 T)

Substitute the given values into the formula:
I = (1/2) × (4π × 10^−7 T·m/A) × (3 × 10^8 m/s) × (2.5 × 10^−9 T)^2
I ≈ 9.81 × 10^−12 W/m²

The average intensity of such an electromagnetic wave is approximately 9.81 × 10^−12 W/m².

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A fuel-filled rocket is at rest. It burns its fuel and expels hot gas. The gas has a momentum of 1,500 kg m/s backward. What is the momentum of the rocket?

Answers

A fuel-filled rocket is at rest. It burns its fuel and expels hot gas. The gas has a momentum of 1,500 kg m/s backward. So, The momentum of the rocket is -1500 kg m/s.

According to the law of conservation of momentum, in a closed system, the total momentum before and after a process remains constant.

A fuel-filled rocket that is initially at rest expels hot gas as it burns its fuel. The gas has a momentum of 1500 kg m/s backward.

We are required to determine the momentum of the rocket.

Consider the fuel-filled rocket as a system.

We have: Momentum before the burn = 0 kg m/s (since the rocket was at rest initially)Momentum after the burn = momentum of the expelled gas

We can therefore say that the initial momentum of the system was zero (0), and after the burn, the total momentum of the system remains the same as the momentum of the expelled gas.

Therefore: Momentum of rocket = - momentum of expelled gas

The negative sign signifies that the rocket's momentum is in the opposite direction of the expelled gas.

Hence, the momentum of the rocket is -1500 kg m/s.

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