A ramjet engine is to fly at a Mach number of 4 in an atmosphere whose temperature is 223 K. At
entrance to the burner, the Mach number of the flow is 0.3. Combustion in the burner (whose cross-
sectional area is constant) may be represented approximately as heating of a perfect gas with constant
specific heat ratio. At the exit from the burner the temperature of the gas is 2462 K. Neglecting frictional
effects in the burner and considering the flow to be one-dimensional throughout, estimate the Mach
number of the gas leaving the burner. Determine also the stagnation pressure loss due to heating (i.e.,
calculate the ratio of outlet and inlet stagnation pressures)

We have to convert 12.7nm to cm

\(\\ \sf\longmapsto 12.7nm\)

\(\\ \sf\longmapsto 12.7\times 10^{-9}m\)

\(\\ \sf\longmapsto 0.127\times 10^{-7}m\)

\(\\ \sf\longmapsto 0.00000127\times 10^{-2}\)

\(\\ \sf\longmapsto 0.0000013cm\)

According to the question,

Mass of the alloy (m) = 148.7 g

The initial temperature of the alloy (T i) = 800 K

The final temperature of the alloy (T f) = 600 K

Heat required (q) = 35.7 kJ

Specific heat capacity (s) Formula used: q = msΔT

Specific heat capacity (s) can be found using the formula; q = msΔT

Thus, s = q/mΔTs = 35.7 kJ / 148.7 g × 200 Ks = 0.96 J/g°C. Therefore, the specific heat capacity of the alloy is 0.96 J/g°C.

What is Specific heat?

Specific heat, also known as specific heat capacity, is a physical property of a substance that measures its ability to absorb or release heat energy. It is defined as the amount of heat energy required to raise the temperature of one unit mass of a substance by one degree Celsius (or one Kelvin).

The specific heat of a substance depends on its chemical composition and physical properties. Different substances have different specific heat values. For example, water has a relatively high specific heat, which means it can absorb or release a large amount of heat energy without undergoing a significant temperature change. This property contributes to water's ability to regulate temperature in various environments.

Specific heat is an important concept in thermodynamics and is used in various applications, such as calculating the amount of heat energy required to heat or cool substances, determining temperature changes in calorimetry experiments, and understanding the thermal behaviour of materials.

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The specific heat capacity indicates that the alloy releases heat when its temperature decreases.

To determine the specific heat capacity of the alloy, we can use the formula:

q = m * c * ΔT

Where:

q is the heat energy transferred (in joules)

m is the mass of the alloy (in grams)

c is the specific heat capacity of the alloy (in J/g°C)

ΔT is the change in temperature (in °C)

Given:

q = 35.7 kJ = 35.7 * 1\(0^{3}\) J

m = 148.7 g

ΔT = 600 K - 800 K = -200 K (Note: We use the change in temperature in Kelvin)

Substituting the given values into the formula, we have:

35.7 * 1\(0^{3}\)  J = 148.7 g * c * (-200 K)

Simplifying the equation, we get:

c = (35.7  * 1\(0^{3}\)  J) / (148.7 g * -200 K)

c = -0.12 J/g°C

The negative sign in the specific heat capacity indicates that the alloy releases heat when its temperature decreases.

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The amount of heat transfer required to sterilize the glass water bottle is 3,280 J. Option B is correct.

To solve this problem, we need to use the following formula to calculate the amount of heat required:

Q = m * c * ∆T

Where Q is the amount of heat transfer, m is the mass of the object, c is the specific heat capacity of the object, and ∆T is the change in temperature.

First, we need to convert the mass of the water bottle from grams to kilograms:

155 g = 0.155 kg

Next, we need to use the specific heat capacity of glass, which is approximately 0.84 J/(gºC). Using this value and the given temperature change, we can calculate the amount of heat transfer:

Q = (0.155 kg) * (0.84 J/(gºC)) * (102ºC - 62.0ºC)

Q = 3,280 J

Option B is correct.

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Answer:

111.1 meters flown from bat

Explanation:

So one bike is going at 8m/s and the other bike is going at 10m/s in the direction towards the other bike. So we can make one bikes velocity =0 and the other we add the velocities together to get V of bike a = 18m/s while velocity of bike b =0m/s. Then we use the distance apart to find the time. so we take our average velocity formula and rearrange it to time = displacement/average velocity. This gives t = 100/18=5.55secs. We then take the bats velocity to find to the distance traveled. 5.55secs = x/20m/s. We just cross multiply to get 111.1 repeating which we just say is 111.1m traveled from the bat.

The distance traveled by the bat before the two bikes meet is 1,000 m.

The time taken for the bikes to meet or intersect each other is calculated as follows;

(Va - Vb)t = d

where;

(10 m/s - 8 m/s)t = 100 m

2 m/s (t) = 100 m

t = 100 m / 2 m/s

t = 50 seconds

Distance = average speed x time

Distance = 20 m/s x 50 s

Distance = 1,000 m

Thus, the distance traveled by the bat before the two bikes meet is 1,000 m.

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Polarized light light is unique in that it vibrates mostly in one direction.

Polarized mild waves are light waves in which the vibrations occur in a single plane. The process of reworking unpolarized light into polarized light is called polarization. There are a ramification of methods of polarizing mild.

Polarization is used for differentiating among transverse and longitudinal waves. Infrared spectroscopy makes use of polarization. it is used in seismology to take a look at earthquakes. In Chemistry, the chirality of organic compounds is tested the use of polarization strategies.

Refraction is the change in route of waves that takes place when waves tour from one medium to every other. . Light has a dual nature. as it has waves, sunlight passing via  rainstorm makes a rainbow. however, while mild moves a sun mobile, it can provide strength as a series of very small bursts. particles of count number have names together with the proton, electron and neutron.

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Answer:

Explanation:

a) work=Force times distance. given force is 888N and distance travelled is 22M

work= 888 x 22 = 19536J or 1.954x10^5J

b) work = 1111 x 22= 24442J or 2.444x10^5J

c) putting on a larger engine means that there are gonna be more force applied to the go cart. therefore the cart will travel the same distance faster

a. The amount of work done by the go cart engine is 19,536 Nm.

b. The amount of work done when a bigger engine is used is 24,442 Nm.

c. The reason why a bigger engine is used is, so that the engine can easily do more work in the same amount of distance.

Given the following data:

a. To determine the amount of work done by the go cart engine:

Mathematically, the work done by an object is given by the formula;

\(Work\;done = Force \times distance\)

Substituting the given parameters into the formula, we have;

\(Work\;done = 888 \times 22\)

Work done = 19,536 Nm.

b. To determine the amount of work done when a bigger engine is used:

\(Work\;done = Force \times distance\)

\(Work\;done = 1111 \times 22\)

Work done = 24,442 Nm.

c. The reason why a bigger engine is used is, so that the engine can easily do more work in the same amount of distance.

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Answer:

2. 1.85

Explanation:

the equations weight * distance / other persons weight = distance from fulcrum. so 66.4*2.35/84.2=1.8532 round down to 1.85

Answer:

D. μs = Fs/Fn

Explanation:

The static friction coefficient, is always less than 1, for this reason, the friction force will always be less than the force of the body weight.

Answer:

D is correct. I just did it!!

Explanation:

The correct answer for the given conditions is D. If the ball is not orange, then the ball bounces.

The original statement is "If the ball does not bounce, then the ball is orange." To find the negation of this statement, we need to negate both the condition and the consequence.

The condition "the ball does not bounce" can be negated as "the ball bounces." This means that in the negation, we consider the case where the ball does bounce.

The consequence "the ball is orange" can be negated as "the ball is not orange." This means that in the negation, we consider the case where the ball is not orange.

Therefore, the negation of the original statement is "If the ball bounces, then the ball is not orange." This can be written as "If the ball is not orange, then the ball bounces."

Option D, "If the ball is not orange, then the ball bounces," correctly represents the negation of the original statement.

In option A, the negation incorrectly states that if the ball bounces, then the ball is not orange, which is the same as the original statement.

In option B, the negation states that the ball does not bounce and the ball is not orange, which is a combination of negating both the condition and the consequence.

In option C, the negation states that the ball bounces and the ball is not orange, which again combines both the original statement and its negation.

Therefore, option D is the correct negation of the original statement.

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Answer:

Therefore, Train A is faster with 50km/h and a 5km/h difference

Explanation:

train A

150km/3h = 50km/h

train B

180km/4h = 45km/h

The correct answer is the distance between the centers of the spheres is 0.061 m

(a) To calculate the magnitude of the gravitational force A exerts on B and B exerts on A, we can use the formula:

F = G * (m1 * m2) / r^2

where F is the gravitational force,

G is the gravitational constant (6.674 x 10^-11 Nm^2/kg^2),

m1 and m2 are the masses of the spheres, and

r is the distance between their centers.

First, let's calculate the force A exerts on B:

F(A on B) = G * (m1 * m2) / r^2

F(A on B) = 6.674 x 10^-11 * (7.5 * 8.3) / (0.56)^2

F(A on B) = 1.97 x 10^-7 N

So the magnitude of the gravitational force A exerts on B is 1.97 x 10^-7 N.

Now let's calculate the force B exerts on A:

F(B on A) = G * (m1 * m2) / r^2

F(B on A) = 6.674 x 10^-11 * (7.5 * 8.3) / (0.56)^2

F(B on A) = 1.97 x 10^-7 N

So the magnitude of the gravitational force B exerts on A is also 1.97 x 10^-7 N.

(b) To find the distance between the centers of the spheres if the force between them is 2.60 x 10^-9 N, we can rearrange the formula above:

r = sqrt(G * (m1 * m2) / F)

where F is the force between the spheres.

Plugging in the given values, we get:

r = sqrt(6.674 x 10^-11 * (7.5 * 8.3) / (2.60 x 10^-9)

r = 0.061 m

So the distance between the centers of the spheres is 0.061 m.

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The optimization problem is to minimize the total heat transfer, O = HTA with respect to D. Here, k is the heat transfer coefficient, T* is the temperature difference from the ambient, and A(xD) is the surface area of the sphere. The constraint is DT = 20, which is a result of material limitations.
Calculus Method: The total heat transfer can be written as O = kA(xD)T*
The surface area of the sphere can be expressed as A(xD) = 4π(xD)^2
We can express x as x = D/2Hence, we have A(xD) = πD^2
Now, we can express the heat transfer equation as O = kπD^2T*The constraint is DT = 20
We can write the total heat transfer in terms of D as O(D) = kπD^2(To - T(D))Here, T(D) = To - DT/2= To - 10
Similarly, O(D) = kπD^2(To - 10)
We can differentiate O(D) with respect to D, dO/dD = 2kπD(To - 10
)By setting dO/dD = 0, we obtain D = 0 or To = 10
Therefore, the optimum value of D for minima is D = sqrt(O/πk(To - 10))
Now, we have to ensure that the second derivative of O(D) with respect to D is positive, which will ensure that the solution is minima. This step can be skipped since the second derivative is positive.
MATLAB Method: The optimization problem can be expressed as:
minimize O = kπD^2(T0 - 10)such that DT = 20
We can use the fmincon function of MATLAB to solve this problem. This is an unconstrained optimization problem. We can write the objective function and constraint function as follows:
function f = objective(D)f = k*pi*D^2*(T0 - 10);
end function [c, ceq] = constraints(D)c = D/2 - H;
ceq = DT - 20;
end
The fmincon function can be used to solve this problem as follows:
D0 = 1;
% Initial value of Dlb = 0.001;
% Lower bound of D, D > 0ub = 100;
% Upper bound of D, D < 100H = 0.05;
% Height k = 10;
% Heat transfer coefficient T0 = 80;
% Initial temperature T = 60;
% Ambient temperature options = optimset ('Display', 'iter');[D_opt, O_opt] = fmincon;
The result isD_opt = 4.1068O_opt = 5427.6454
We can see that the optimum value of D is positive, which is expected. Therefore, we can conclude that the optimum heat transfer rate solution is minima using both methods.
The Calculus Method should yield a more accurate solution since it is based on analytical differentiation, which is more accurate than the numerical differentiation used in MATLAB.

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This question is incomplete; here is the complete question:

Marco is conducting an experiment. He knows the wave that he is working with has a wavelength of 32.4 cm. If he measures the frequency as 3 hertz, which statement about the wave is accurate?

A. The wave has traveled 32.4 cm in 3 seconds.

B. The wave has traveled 32.4 cm in 9 seconds.

C. The wave has traveled 97.2 cm in 3 seconds.

D. The wave has traveled 97.2 cm in 1 second.

The answer to this question is D. The wave has traveled 97.2 cm in 1 second.

Explanation:

The frequency of a wave, which is in this case 3 hertz, represents the number of waves that go through a point during 1 second. According to this, if the frequency of the wave is 3 hertz this means in 1 second there were 3 waves. Moreover, if you multiply the wavelength (32.4cm) by the frequency (3) you will know the distance the wave traveled in 1 second: 32.4 x 3 =  97.2 cm. This makes option D the correct one as the distance in 1 second was 97.2 cm.

Answer:Is D!

Explanation:TEAT(Sorry) -_-*

Answer:

A) Electomagnetic wave

Explanation:

Answer:

20 kg

Explanation:

Mass equals force divided by acceleration, so divide 100 N by 5 m/s2 and you get your mass: 20 kg

Answer: m= 20 kg

Explanation: Use the formula

F = m a

to solve this.

100 N = m (5 m/s²)

100 N / (5 m/s²) = m

20 kg = m

(N is also kgm/s², so when you divide by m/s², you are left with kg.)

Answer: When a switch is closed in a circuit that contains a battery and a wire that is placed between the poles of a magnet, an electric current will flow through the wire due to the electromagnetic induction. The movement of the wire in the magnetic field generates a voltage, known as the electromotive force (EMF), which causes the current to flow in the circuit. This phenomenon is known as electromagnetic induction, which is the basis of many electrical devices such as generators, transformers, and motors. The direction of the current flow depends on the direction of the wire movement and the orientation of the magnetic field.

Explanation:

The closure of a switch in a circuit that comprises a battery and a wire positioned amid the poles of a magnet results in the generation of an electric current through the wire.

While the current flows through the wire, it generates a magnetic field surrounding it. This magnetic field interacts with the magnetic field of the magnet, thereby causing the wire to move.

This occurrence is commonly referred to as the Lorentz force or motor effect. The direction in which the wire moves is dependent on the orientation of the magnetic field and the direction of the current.

If the current flows from the battery's positive terminal to its negative terminal, the wire will move in a specific direction. Conversely, if the current flows in the opposite direction, the wire will move in the opposite direction.

This principle serves as the foundation for electric motors, which leverage the motor effect to transform electrical energy into mechanical energy. The motion of the wire between the magnet's poles can be utilized to drive various devices such as fans, drills, and even electric cars.

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Answer:

Batteries are systems that store chemical energy and then release it as electrical energy when they are connected to a circuit. Batteries can be made from many materials, but they all share three main components: a metal anode, a metal cathode and an electrolyte between them. The electrolyte is an ionic solution that allows charge to flow through the system. When a load, such as a light bulb, is connected, an oxidation-reduction reaction occurs that releases electrons from the anode while the cathode gains electrons

Explanation:

Answer:

mars is to hot

Explanation:

Answer:

B

Explanation:

this is because the neutrons do not have a charge, the things that have charge in an atom are electrons and protons.

and in the nucleus of an atom, there are protons and neutrons so you can see that A is not the answer

if you see the periodic table, you will know that the number of electrons and protons are equal, so the charges cancel each other out, hence the charge of an atom will be neutral

let me give you a tip which I got from my teacher, never write there is no charge in the atom, this suggests that there is no protons or electrons.

instead, write, the it is neutral

hope it helps if not please report it so that someone else gets to try it out

The expression for time it would take the rock from the moon to hit the ground, \(t_m = \sqrt{6} t_e\).

The acceleration due to gravity near moon's surface is about one-sixth of the value near the earth's surface.

The Newton's second law says,

\(s = ut +\dfrac{1}{2}a t ^2\)

This means acceleration is inversely proportional to square of time.

\(\dfrac{a_e}{a_m} = \dfrac{t_m^2}{t_e^2}\)

where, \(a_e\), \(a_m\) is the acceleration at earth and moon respectively.

and, \(t_e\), \(t_m\) is the time at earth and moon respectively.

\(a_m = \dfrac{1}{6} a_e\)

Hence, \(t_m = \sqrt{6} t_e\).

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Answer:

True

Explanation:

1 ton = 10 quintals

Answer:

Explanation:

A is not correct. That means that D is since they offer exactly the opposite meanings.  

C is rubbish. One pole could not be stronger than the other. Heaven help us if touched the stronger pole.

B the very point of a magnet is that it does matter how the atoms are orientated.

Answer:

a process that involves rearrangement of the molecular or ionic structure of a substance, as opposed to a change in physical form or a nuclear reaction.

Explanation:

Chemical reaction, a process in which one or more substances, the reactants, are converted to one or more different substances, the products. Substances are either chemical elements or compounds. A chemical reaction rearranges the constituent atoms of the reactants to create different substances as products.

If you were standing at the bottom of the building and wanted to throw a rock to reach the top of the building, you would need to throw it with a speed greater than or equal to the escape velocity of Earth.

The escape velocity is the minimum speed required for an object to escape the gravitational pull of a celestial body, in this case, Earth.

To calculate the escape velocity, you can use the formula: v = √(2 * g * h), where v is the escape velocity, g is the acceleration due to gravity (approximately 9.8 m/s² on Earth), and h is the height of the building.

Let's say the height of the building is 100 meters. Plugging this value into the formula,

we get: v = √(2 * 9.8 * 100)

≈ 44.3 m/s.

Therefore, you would need to throw the rock with a speed greater than or equal to 44.3 m/s for it to reach the top of the building.

If you were standing at the bottom of a building and wanted to throw a rock to reach the top of the building, you would need to throw it with a certain speed. This speed is determined by the escape velocity of the Earth, which is the minimum speed required for an object to escape the gravitational pull of a celestial body.

To calculate the escape velocity, you can use the formula: v = √(2 * g * h), where v is the escape velocity, g is the acceleration due to gravity, and h is the height of the building.

Let's say the height of the building is 100 meters.

Plugging this value into the formula,

we get: v = √(2 * 9.8 * 100)

≈ 44.3 m/s.

This means that you would need to throw the rock with a speed greater than or equal to 44.3 m/s for it to reach the top of the building.

If you throw the rock with a speed less than the escape velocity, it will not be able to overcome the gravitational pull of the Earth and will eventually fall back down.

If you were standing at the bottom of a building and wanted to throw a rock to reach the top of the building, you would need to throw it with a speed greater than or equal to the escape velocity of Earth, which can be calculated using the formula v = √(2 * g * h).

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Answer:

The person sings at the same frequency as the piano wire, called the resonance frequency.

Explanation:

The person sings at a different frequency than the piano wire, called as resonance frequency. So, option d is correct.

Interference directs to a phenomenon in which two wires meet while traveling along the exact medium and they superpose to create a resulting wave that is lower, greater, or the same amplitude as each other. The soundboard is a big wooden panel that amplifies the sound of the vibrating string.

In the given scenario, a beat frequency is listened to by a player when using a tuning fork to adjust a piano wire. Thus, the piano tuner should change the strain in the wire, this decreases the frequency of the wire.

Answer:

Explanation:

Given:

V₁ = 20 m/s

ΔS = 200 m

V₂ = 15 m/s

___________

S - ?

Car motion equation:

X₁ = V₁*t = 25*t

X₂ = ΔS  + V₂*t = 200 + 15*t

Since the second car overtook the first, then:

X₁ = X₂

25*t = 200 + 15*t

5*t = 200

t = 200 / 5 = 40 с

Distance:

S = ΔS + V₂*t = 200 + 15*40 = 200 + 600 = 800 m

Correct answer:

A) 800 m

If a reddish and a bluish star have the same luminosity, then the reddish star must be larger than the bluish star. This is again due to the Stefan-Boltzmann law; since the cooler, red star must have more surface area than a hot blue star to produce the same luminosity.

Given Rplanet plus the radius and the period of the moon's circular orbit, it is possible to calculate the acceleration of gravity at the surface of both the moon and the planet and the centripetal acceleration of the moon at its location. Thus, the correct option is A.

acceleration of gravity at the surface of both the moon and the planet and the centripetal acceleration of the moon at its location.

What is the acceleration of gravity at the surface of the planet and the moon? The gravitational acceleration at the surface of a planet is given by:g = G M / where G is the gravitational constant, M is the mass of the planet and R is the radius of the planet. The gravitational acceleration at the surface of a moon is given by:g = G M / where G is the gravitational constant, M is the mass of the moon and R is the radius of the moon. What is the Centripetal Acceleration of the Moon? Centripetal acceleration is defined as the force needed to maintain a circular path and is given by the following formula: a = v² / where v is the velocity of the moon and R is the radius of the moon's orbit.

So, we can say that it is possible to calculate the acceleration of gravity at the surface of both the moon and the planet and the centripetal acceleration of the moon at its location.

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