A rocket of mass M when empty carries a mass M of fuel. The rocket and fuel travel at speed v.
The engine of the rocket is fired and all of the fuel is expelled. The speed of the rocket increases
to 2v.

What happens to the kinetic energy of the rocket?
A It doubles.
B It halves.
C It increases by a factor of four.
D It stays the same.

The rpm required by most turbine generators to begin producing electricity is generally calculated to be 1000 rpm to 1500 rpm.

The rpm required by most turbine generators to begin producing electricity depends on the specific design and size of the generator. Generally, the starting speed of a turbine generator is around 1,000 rpm, but it can vary greatly depending on the type of turbine and generator used. For example, large-scale steam turbines can require a starting speed of around 3,000 rpm, while smaller gas turbines may only require a starting speed of around 500-600 rpm.

The starting speed is also influenced by the load on the generator and the amount of energy required. As the load increases, the generator may need to spin faster to produce more electricity. Conversely, if the load decreases, the generator may slow down to conserve energy.

Ultimately, the specific rpm required for a turbine generator to start producing electricity is determined by the manufacturer's specifications and the intended use of the generator.

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Answer: 48 km/hr

Explanation:

speed= distance/time

144/3

=48 km/hr

Answer: Physical fitness can be defined as the ability of a person to perform daily routine tasks without any ailment.

Explanation:

Dance workouts can help in improving the physical fitness of the person.

This may involve improvement of the cardiovascular strength.

This may also help in improving the strength and endurance of a person.

This improves the stamina, flexibility, and composition of the body.

The dance also helps in maintaining balance and attaining the correct posture.

Answer:

Approximately \(3.01 \times 10^{-27}\; {\rm m}\) (when measured in a vacuum.)

Explanation:

Apply unit conversion and ensure that the mass of the baseball is in standard units (kilograms):

\(m = 145\; {\rm g} = 0.145\; {\rm kg}\).

The kinetic energy of the baseball will be:

\(\displaystyle E = \frac{1}{2}\, m\, v^{2}\),

Where \(v = 30.2\; {\rm m\cdot s^{-1}}\) is the speed of the baseball.

\(\begin{aligned}E &= \frac{1}{2}\, m\, v^{2} \\ &= \frac{1}{2}\, (0.145)\, (30.2)^{2}\; {\rm J} \\ &= 66.12290\; {\rm J}\end{aligned}\).

The energy of a photon of frequency \(f\) is:

\(E = h\, f\),

Where \(h \approx 6.62607 \times 10^{-34}\; {\rm m^{2}\cdot kg \cdot s^{-1}}\) is Planck's constant.

When measured in a vacuum where speed of light is \(c \approx 3.00 \times 10^{8}\; {\rm m\cdot s^{-1}}\), the wavelength \(\lambda\) of this photon will be:

\(\displaystyle \lambda = \frac{c}{f}\).

\(\displaystyle f = \frac{c}{\lambda}\).

Hence, the expression for the energy of this photon can be rewritten as:

\(\displaystyle E = h\, f = \frac{h\, c}{\lambda}\).

Rearrange this equation to find \(\lambda\):

\(\displaystyle \lambda &= \frac{h\, c}{E}\).

Assuming that the energy of this photon to be equal to the kinetic energy of that baseball, \(66.12290\; {\rm J}\):

\(\begin{aligned}\lambda &= \frac{h\, c}{E} \\ &\approx \frac{(6.62607\times 10^{-34})\, (3.00 \times 10^{8})}{(66.12290)}\; {\rm m} \\ &\approx 3.01 \times 10^{-27}\; {\rm m}\end{aligned}\).

Answer:

(a) The projectile takes approximately 4.420 seconds to reach the water, (b) The horizontal scope of the projectile is 1591.2 meters, (c) The remaining height to descend after 2 seconds of being launched is 63.624 meters.

Explanation:

The projectile experiments a parabolic motion, where horizontal speed remains constant and accelerates vertically due to the gravity effect. Let consider that drag can be neglected, so that kinematic equation are described below:

\(x = x_{o}+v_{o,x} \cdot t\)

\(y = y_{o} + v_{o,y}\cdot t +\frac{1}{2}\cdot g \cdot t^{2}\)

Where:

\(x_{o}\), \(y_{o}\) - Initial horizontal and vertical position of the projectile, measured in meters.

\(v_{o,x}\), \(v_{o,y}\) - Initial horizontal and vertical speed of the projectile, measured in meters per second.

\(t\) - Time, measured in seconds.

\(g\) - Gravitational acceleration, measured in meters per square second.

\(x\), \(y\) - Current horizontal and vertical position of the projectile, measured in meters.

Given that \(x_{o} = 0\,m\), \(y_{o} = 80\,m\), \(v_{o,x} = 360\,\frac{m}{s}\), \(v_{o,y} = 0\,\frac{m}{s}\) and \(g = -9.807\,\frac{m}{s^{2}}\), the kinematic equations are, respectively:

\(x = 360\cdot t\)

\(y = 80-4.094\cdot t^{2}\)

(a) If \(y = 0\,m\), the time taken for the projectile to reach the water is:

\(80 - 4.094\cdot t^{2} = 0\)

\(t = \sqrt{\frac{80}{4.094} }\,s\)

\(t \approx 4.420\,s\)

The projectile takes approximately 4.420 seconds to reach the water.

(b) The horizontal scope is the horizontal distance done by the projectile before reaching the water. If \(t \approx 4.420\,s\), the horizontal scope of the projectile is:

\(x = 360\cdot (4.420)\)

\(x = 1591.2\,m\)

The horizontal scope of the projectile is 1591.2 meters.

(c) If \(t = 2\,s\), the height that remains to descend is:

\(y = 80-4.094\cdot (2)^{2}\)

\(y = 63.624\,m\)

The remaining height to descend after 2 seconds of being launched is 63.624 meters.

The weight of an object would be the least at the center of the Earth. 2000 miles above earth's surface at the equator at the south pole at the north pole at the center of earth.

The weight of an object depends on the gravitational force acting on it. The gravitational force is inversely proportional to the square of the distance between the object and the center of the Earth. As the object moves farther away from the center of the Earth, the gravitational force decreases.

At the center of the Earth, the distance between the object and the center is at its minimum. Therefore, the gravitational force and consequently the weight of the object would be the least at the center of the Earth.

In contrast, as the object moves further away from the center of the Earth, such as 2000 miles above the Earth's surface, the distance between the object and the center increases, resulting in a stronger gravitational force and a greater weight.

Thus, of the options provided, the weight of an object would be the least at the center of the Earth.

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The momentum of the 5kg object before the collision is; 50kgm/s.

The momentum of a body is mathematically evaluated as the product of its mass and velocity of motion.

According to the question;

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Answer:

1.Call the ambulance

2. Leave him to die

3. Go get a professional

4. Since you are a trained one you Could still provid initial care

Explanation:

That all depends on the ANGLE between the two forces.

It can be anything from a minimum of 150N (if they point in exactly opposite directions) to a maximum of 400N (if they point in exactly the same direction).

A) With an emf frequency of 100 Hz, the inductor's peak current is 57.2 mA. B) With an emf frequency of 100 kHz, the inductor's peak current is 6.64 A.

I = Vpeak / Xl, where Xl is the inductive reactance denoted by Xl = 2fL, where f is the frequency and L is the inductance, can be used to calculate the peak current through an inductor.

Xl = 2(100 Hz)(21 mH) = 13.2 for section A. I = (11.0 V) / (13.2 ) = 0.0572 A = 57.2 mA follows.

Xl = 2 (100 kHz)(21 mH) = 13.2 k for portion B. I = (11.0 V) / (13.2 k) is equal to 0.000664 A, or 6.64 A.

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Answer:

The electrons in an atom can only occupy certain allowed energy levels. ... Only certain energy levels are allowed, so only certain transitions are possible and hence specific wavelengths are emitted when an electron drops to a lower energy level.

Different atoms or molecules preferentially absorb different wavelengths of light because of the different energy levels and arrangement of the electrons in the valence shell.

It is the process by which a substance releases electrons as a result of absorbing electromagnetic energy in the form of photons from light waves.

Due to the fact that light functions as particles when it contacts a metal surface, the photoelectric effect causes electrons to be knocked off the surface, creating an electric current.

The permitted energy levels for electrons in an atom are limited. Only particular transitions are conceivable because only specified energy levels are permitted, and as a result, only certain wavelengths are released when an electron lowers to a lower energy level.

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The base of a cumulus cloud marks the altitude at which rising air cools to the dew point of temperature, leading to condensation and the formation of the cloud.

Cumulus clouds are formed as a result of warm air rising and encountering cooler air at higher altitudes, this process is known as convection. As the warm air rises, it expands and cools adiabatically, meaning that the temperature decreases due to the decrease in air pressure. The dew point is the temperature at which the air becomes saturated and can no longer hold all the water vapor present. When the rising air cools to the dew point, the water vapor starts to condense into tiny water droplets or ice crystals, forming a cloud. The altitude at which this condensation occurs and the cloud base is formed depends on the temperature and humidity profile of the atmosphere.

Typically this clouds have well-defined, sharp edges and a flat base, which is a result of the uniform dew point temperature at that altitude. The height of the cloud base can vary depending on the weather conditions and the location, but it is generally observed at around 1,000 to 3,000 meters above the ground. In summary, the base of a cumulus cloud represents the altitude where the rising air cools down to the dew point temperature, leading to condensation and the formation of the cloud, this process is influenced by atmospheric temperature and humidity profiles, as well as local weather conditions.

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The bronchus of 5cm long, slightly narrower and more horizontal than the one on the opposite side is the left main bronchus.

A bronchus is a tubular structure that links the trachea with the lungs in the respiratory airways.

The main function of the bronchus is to transport oxygen during gas exchange, which is required in cellular respiration.

In conclusion, the bronchus of 5cm long, slightly narrower and more horizontal than the one on the opposite side is the left main bronchus.

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Answer:

C is your answer fam.

Explanation:

The expression for the velocity of the system after the collision is Vf = -2.420i - 3.471Ĵ

from conservation of linear momentum.

Pi = Pf

(\(M_{C}\)) (-vci) + (mt) (-vtj) = (mctmt)vf

(1456) (-5.5i) + (1852) (-6.2Ĵ)

= (1456 + 1852) Vf

Vf= \(\frac{1}{3308}\) (8008 î - 11482.4j)

Vf = -2.420i - 3.471Ĵ

Both mass and velocity are directly proportional to momentum. Increasing either mass or velocity increases the object's momentum proportionally. Doubling the mass or velocity doubles the momentum. When matter collides, momentum is transferred collectively rather than velocity as a single component.

When a heavy mass meets a small mass the collective momentum increases, but the collective velocity decreases. A fast-moving object with high momentum transfers more energy to a slow-moving object than vice versa. After a collision, an object with a slow initial velocity moves away with a higher velocity and momentum than an object with a faster initial velocity.

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The most stable element in the universe is iron (e).

The most stable element in the universe is iron (e). This is because iron has the highest binding energy per nucleon, meaning it takes the most energy to break apart an iron nucleus into its individual protons and neutrons. Iron is also the point at which nuclear fusion stops releasing energy and instead requires energy to continue. This is because fusion reactions involving lighter elements (such as hydrogen) release energy due to the formation of a more stable nucleus, but fusion reactions involving heavier elements (such as iron) require energy to overcome the repulsion between the positively charged nuclei. As for the other options, hydrogen can undergo fusion to form helium and release energy, carbon can undergo fusion to form heavier elements and release energy, uranium is radioactive and can decay into other elements, and technetium is an artificially created element and is not naturally occurring.

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The most stable element in the universe is iron (Fe),the one that doesn’t pay off any energy dividends if forced to undergo nuclear fusion and also doesn’t decay to anything else.

Hence, the correct answer is E.

The most stable element in the universe is iron (Fe) which has the lowest mass per nucleon (the number of protons and neutrons in the nucleus) and the highest binding energy per nucleon.

Iron has the most tightly bound nucleus, meaning that it requires the most energy to either fuse its nuclei together or break it apart into smaller nuclei.

This is why iron is often called the "end point" of nuclear fusion, as no energy can be extracted by fusing iron nuclei together, and it is also why iron is a common constituent in the cores of stars.

Hence, the correct answer is E.

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Answer:

The enthalpy change of the water during the process is 1.4 kJ/kg

Explanation:

The enthalpy change of the water during the process can be determined from

\(\Delta H = \frac{\Delta P}{\rho} + C_{p} \Delta T\)

Where

\(\Delta H\) is the enthalpy change

\(\Delta P\) is the change in pressure

\(\rho\) is the density

\(C_{p}\) is the specific heat

and \(\Delta T\) is the temperature change

From the question

\(\Delta P\) = 900 kPa - 100 k Pa

\(\Delta P\) = 800 kPa

\(\rho\) = 1 kg/L = 1kg/dm³ = 1000 kg/m³

\(C_{p}\) = 4.18 kJ/kg.°C

\(\Delta T\) = 0.15 °C

∴\(\Delta H = \frac{\Delta P}{\rho} + C_{p} \Delta T\)

\(\Delta H = \frac{800}{1000} +4.18 \times 0.15\)

\(\Delta H = 0.8 + 0.627\\\)

\(\Delta H = 1.4 kJ /kg\)

Hence, the enthalpy change of the water during the process is 1.4 kJ/kg

Explanation:

he fell down with telling any one,

Answer:

1.8 m

Explanation:

Given: Glass falls from a table, smashes 0.6 seconds later

To find: How high a table is

Formula: Vv=gt, dv=1/2gt^2, t=2d/g

Solution: A table's height is measured from the top of the edge down to the floor. The tables are shown both have a height of 30 inches, which is common for many tables.

Data

Equation

Math & Units

Hence the table is 1.8 m high

Answer: 15 m/\(s^{2}\)

Acceleration (a) = \(\frac{V{f} - V{i} }{t}\)

Here

\(V_{f}\) = final velocity

\(V_{i}\) = initial velocity

t = time period

a = \(\frac{100 - 70}{2}\)  = 15 m/\(s^{2}\)

the car's acceleration =  15 m/\(s^{2}\)

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A Helmholtz coil is a parallel pair of the same circular coils spaced one radius aside and wound so that the modern-day flows thru both coils in the same course.

A magnetic field is a vector discipline that describes the magnetic have and impact on shifting electric costs, electric currents, and magnetic substances. A moving fee in a magnetic area studies a force perpendicular to its own pace and to the magnetic discipline.

The magnetic area is an area around a magnetic fabric or a transferring electric-powered fee within which the force of magnetism acts. A magnetic field is a force field that is created by means of transferring electric-powered charges and magnetic dipoles and exerts a force on different nearby moving charges and magnetic dipoles.

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Answer:

1. 10 N/m

2. 40 N

Explanation:

1. Determination of the spring constant.

We'll begin by converting 20 cm to m. This can be obtained as follow:

100 cm = 1 m

Therefore,

20 cm = 20 cm × 1 m / 100 cm

20 cm = 0.2 m

Finally, we shall determine the spring constant. This can be obtained as follow:

Extention (e) = 0.2 m

Force (F) = 2 N

Spring constant (K) =?

F = Ke

2 = K × 0.2

Divide both side by 0.2

K = 2/0.2

K = 10 N/m

Thus, the spring constant is 10 N/m

2. Determination of the force.

Initial extention (e₁) = 5 cm

Initial force (F₁) = 20 N

Final extension (e₂) = 10 cm

Final force (F₂) =?

F = Ke

Divide both side by e

K = F /e

Therefore,

F₁ /e₁ = F₂/e₂

20/5 = F₂/10

4 = F₂/10

Cross multiply

F₂ = 4 × 10

F₂ = 40 N

Thus, a force of 40 N is needed to stretch the spring by 10 cm.

The one-dimensional diffusion equation or Fick's second law is the name of this equation. For the geographically and temporally variable concentration, it is solvable.

A diffusion explanation is what?

The movement of molecules along a concentration gradient is known as diffusion. It is a significant process that all living things go through. Diffusion facilitates the flow of materials into and out of cells.

Which definition of diffusion is the best?

Diffusion is the movement of molecules from a region where they are more concentrated to one where they are less concentrated. Therefore, "Movement of molecules from a region of their greater concentration to a region of their lower concentration" is the right response.

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Answer:

objective 4

Explanation:

i took the unit test review and the regular unit test

Object 4 with a density of 2.3 g/cm³  would sink in honey, which has a density of 1.4 g/cm³, therefore the correct option is option D.

It can be defined as the mass of any object or body per unit volume of the particular object or body. Generally, it is expressed as in gram per cm³ or kilogram per meter³.

The mathematical formula for density is given below

ρ =m /v

where ρ is the density of the substance

m is the mass of the substance

v is the volume of the substance

As per the law of floatation, the objects those have less density than the honey do not sink in the honey which has a density of 1.4 g/cm³.

As per the given options, object 1 has a density of 0.9 g/cm³ which is less than the density of honey 1.4 g/cm³, therefore it would not sink in the honey. similarly, objects 2 and object, 3 have a density that is less than the density of the honey, therefore they would float instead of sinking in the honey.

The only object 4  has a density of 2.3 g/cm³ which is more than the density of honey, therefore it would sink on the honey.

Hence, the correct answer is object 4.

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The mass and magnitude of the second particle are calculated below.

The initial velocity of an object is its velocity prior to the effect of acceleration, which causes the change. The velocity will be the final velocity after accelerating the object for some time. When a particle moves at a constant speed, it can be accelerated. When a point object moves in a horizontal circular path at a constant speed, the direction of its velocity vector changes over time. It means that in a uniform circular motion, the object's velocity vector changes over time.

Distance between the charges, r = 3.2 × \(10^{-3}\)m

initial acceleration of first particle, \(a_{1}\) = 7m / \(s^{2}\)

Initial acceleration of second particle, \(a_{2}\) = 9.0m / \(s^{2}\)

Mass of first particle, \(m_{1}\) = 6.3 × \(10^{-7}\)kg

Mas of second particle, m₂ = ?

a) Since, \(F_{1}=F_{2}\)

∴ \(m_{1}a_{1} = m_{2}a_{2}\)

mass of second particle-\(m_{2}\) =\(\frac{m_{1}\times a_{1}}{a_{2}}\)

= \(\frac{6.3\times10^{-7}\times7.0}{9.0}\)

=4.9 × \(10^{-7}\)Kg

b)As, \(F_{1} = F_{2}\)

       = \(\frac{q_{1}q_{2}}{4\pi E_{0}r^{2}}\) = \(m_{1}a_{1}\)

       = 6.3 × \(10^{-7} \times\) 7.0

       = 44.1 × \(10^{-7}\)

∴ q = 7.1 × \(10^{-11}\)C.

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Answer:

\(\Huge \boxed{\mathrm{citric \ acid}}\)

Explanation:

Citric acid is naturally found in foods and can be safe to eat.

Citric acid is present in oranges, lemons, and other types of citrus fruits that we can eat.

The acid that is naturally found in foods and can be safe to eat would be citric acid, therefore the correct answer is option B .

A chemical compound is a combination of two or more either similar or dissimilar chemical elements.

For example, H₂O is a chemical compound made up of two oxygen atoms and a single hydrogen atom.

As given in the problem statement we have to find out the acid from the given list of options that are naturally found in foods and can be safe to eat.

The sulphuric acid found in batteries, therefore, is not safe to eat, while the citric acid found in different fruits can be safe to eat.

The correct response is option B since citric acid is a naturally occurring acid that may be consumed without harm.

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Answer: 14 speed of Earth around Sun I see 30 km/s. FALSE

15. Because car is in circle track, direction of velocity changes

And car is in accelerating motion. direction of acceleration points to

The centre of the circle. RIGHT

Explanation:

The energy of the photon is approximately 0.263 fJ (femtojoules).

To find the energy of the photon, we can use the equation E = (h * c) / λ, where E represents energy, h is Planck's constant, c is the speed of light, and λ is the wavelength of the photon.

The speed of light is given as 3.00 × \(10^8\) m/s, so we don't need to make any conversions.

The given wavelength is 0.653 nm. To convert it to meters, we need to multiply it by a conversion factor. Since 1 nm is equal to 1 × 10^-9 meters, we can multiply 0.653 nm by 1 × \(10^-^9\) to get the wavelength in meters: 0.653 × \(10^-^9\)m.

Now, we can use the formula E = (h * c) / λ. Plugging in the values, we get:

E = (6.262 × \(10^-^3^4\) J·s * 3.00 ×\(10^8\) m/s) / (0.653 × 10^-9 m).

After simplifying the expression, we find:

E ≈ 0.263 fJ (femtoJoules).

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