the martian moon phobos has a period of 460 min and an orbital radius of 9400 km. a. convert the distance and orbital period into scientific notation with si units. b. what is the mass of mars? c. what is the centripetal acceleration of phobos as it spins around mars?.

(i) Switch k1 is closed:

The current passing through the circuit is:  0.25 amps

R_total = R1 + R2 = 3 + 5 = 8 ohms

The current passing through the circuit is:

i = V / R_total = 2 / 8 = 0.25 amps

(ii) Switches k1 and k2 are closed:

The current passing through the circuit is: 1.07 amps

1/R_total = 1/R1 + 1/(R2 + R3) = 1/3 + 1/(5 + 0) = 8/15

R_total = 15/8 ohms

The current passing through the circuit is:

i = V / R_total = 2 / (15/8) = 1.07 amps

(iii) Switch k1 is open and k2 is closed:

The current passing through the circuit is: 1.07 amps

1/R_total = 1/R2 + 1/(R1 + R3) = 1/5 + 1/(3 + 0) = 1/5 + 1/3 = 8/15

R_total = 15/8 ohms

The current passing through the circuit is:

i = V / R_total = 2 / (15/8) = 1.07 amps

So the current passing through the circuit depends on which switches are closed, and can range from 0.25 amps to 1.07 amps.

What is current?

Crrent refers to the flow of electric charge through a conductor, such as a wire. It is measured in amperes (A) and is defined as the rate at which electric charge flows past a given point in a circuit. current is caused by the movement of charged particles, such as electrons or ions, through a conductor.

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Answer:

C

Explanation:

a series circuit would be an odd choice to power a battery or light a lamp when a direct would be much more efficient, and it's not converting types of energy, so C is the best possible answer

The globular clusters are distributed above, below, and level with the plane of our Milky Way as these clusters are found in a spherical halo while open clusters are located in the plane of our galaxy, along the spiral arms where dust and gas reside.

Locations of globular clusters and open clusters are different. Globular clusters have remained in a gravitationally bound system and are old clusters of stars. These clusters are roughly spherical. They are on the order of 13 billion years old, which means they contain some of the oldest stars in our galaxy.

Astronomers use them to study the early history of our galaxy. Globular clusters are distributed above, below, and level with the plane of our flat, disk-shaped Milky Way as they are found in our galaxy’s spherical halo.

Open clusters are much smaller and younger than globular clusters. They are the recent birthplaces of new stars and contain only thousands of stars. The stars in an open cluster do not remain gravitationally bound over time and spread out, scattering their stars wide.

Astronomers use them for studying the processes of star formation. They are located where the gas and dust in the Milky Way reside that is in the plane of our galaxy, along the spiral arms.

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The process of providing a pathway to drain excess charge into earth is called grounding. The pathway is usually a conductor such as wire that connects the electrical system to a grounding electrode or rod buried in the earth. This helps to prevent electrical shocks, fires, and equipment damage by redirecting excess voltage and current to the ground.

Grounding is typically achieved by connecting a conductor, such as a wire or metal rod, from an electrical or electronic system to the Earth's surface. Grounding helps to prevent the buildup of static electricity, protect against electrical shocks, and provide a safe discharge route for excess electrical charge.When an object is charged, it has an imbalance of electrons. This imbalance can create a potential difference between the object and the ground. If the potential difference is high enough, it can cause a spark or arc. Sparks and arcs can start fires or cause electrical shock.

Grounding provides a safe path for the excess charge to flow away from the object and into the ground. This prevents the potential difference from becoming high enough to cause a spark or arc.

Grounding is also used to improve the performance of electrical systems. For example, grounding can help to reduce noise and interference in electronic devices. It can also help to protect electrical systems from lightning strikes.

Grounding is an important safety measure that should be used in all electrical systems. It is a simple and effective way to protect people and equipment from electrical hazards.

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To determine which state is more critical to yielding based on different yielding criteria, we can calculate the relevant stress quantities for each state and compare them.

Given the stress states at two different points in a body:

State 1:

State 2:

a. Octahedral Normal Stress (σ_oct):

The octahedral normal stress is given by the equation σ_oct = (σ₁ + σ₂ + σ₃) / 3.

b. Octahedral Shear Stress (τ_oct):

The octahedral shear stress is given by the equation τ_oct = sqrt((τ₁₂² + τ₂₃² + τ₁₃²) / 3).

c. Maximum Shear Stress (τ_max):

The maximum shear stress is given by the equation τ_max = (σ₁ - σ₃) / 2.

Comparing the results for each criterion:

Based on the given criteria, State 1 is more critical to yielding for octahedral normal stress (σ_oct) and maximum shear stress (τ_max), while State 2 is more critical for octahedral shear stress (τ_oct).

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Answer:

The thermosphere experiences a temperature increase primarily due to the absorption of gamma-rays and X-rays.

The initial velocity of a car that reached 32 m/s in 3.4 at a rate of 2.6 m/s  is 23.16 m/s.

Velocity is described as the directional speed of a object in motion as an indication of its rate of change in position as observed from a particular frame of reference and as measured by a particular standard of time.

The given parameters include:

final velocity: 32 m/s

time: 3.4 seconds

acceleration = 2.6 m/s

V = u + at

32 = u + 3.4 * 2.6

32 = u + 8.84

32- 8.84 = u

initial velocity = 23.16.

So the initial velocity of the car that travels 32m/s in 3.4 at a rtae of 2.6 m/s is 23.16 m/s.

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Answer:

3. 1.8A

Explanation:

Given the following data;

Quantity of charge, Q = 650C

Time = 6 minutes to seconds = 6 * 60 = 360 seconds.

To find the current l;

Quantity of charge = current * time

Substituting into the equation, we have;

650 = current * 360

Current = 650/360

Current = 1.8 Amperes

Answer:

The radius of the slave piston​ = 14.10 cm

Explanation:

The formula to apply here is that for pressure where ;

Pressure = Force / Area

F₁ /A₁ =F₂/A₂    where ; F₁=200 N  , A₁= 25 cm² , F₂ =5000 N ,A₂ =?

Apply values in the equation as ;

200/ 25 = 5000/ A₂

A₂ = 625 cm²

Formula for area is ;

A = πr²  

625 = π * r²

625/π = r²

√625/π =r

14.10 cm = r

An alpha particle is equivalent to a helium nucleus because an alpha particle is made up of two protons and two neutrons, which are the same components that make up a helium nucleus.

An alpha particle is essentially a helium nucleus with a positive charge. An alpha particle is a type of ionizing particle that is emitted during alpha decay. During this process, a nucleus emits an alpha particle, which is made up of two protons and two neutrons. This results in the atomic number of the element decreasing by two and the mass number decreasing by four.The term "alpha particle" was coined by British physicist Rutherford in 1899. The alpha particle has a charge of +2 and is represented by the symbol α. Alpha particles are generally not very penetrating and are easily stopped by a piece of paper or skin. However, they can be extremely dangerous if inhaled or ingested.

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Answer:

Through public awareness

If a light signal and a radio signal were emitted simultaneously from Alpha Centauri, both signals will reach at the same time. The correct answer to this question will be C) Both the same time.

Both light signals and radio signals are types of electromagnetic radiation, which travel at the speed of light in a vacuum. Therefore, if they are emitted simultaneously from the same location (in this case, Alpha Centauri), they will both reach Earth at the same time.

Compared to radio waves, light has shorter wavelengths and higher frequencies. Both light and radio waves exhibit typical wave characteristics including reflection, refraction, and so on. The wavelength and frequency of the wave, however, affect how each attribute behaves.

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Velocity, acceleration, force, and displacement, have magnitude and direction (ie vector quantity) in common

This is a which have both magnitude and direction. Example include:

This is a quantity which has magnitude but no direction. Example include:

From the above, we can see that velocity, acceleration, force, and displacement, have magnitude and direction (ie vector quantity) in common

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Answer:

The answer is water

Explanation:

it has a netural ph of 7.0

why is the only option milk?

The Ph for milk is about 6.5 to 6.7,  it varies becauses milks gets sour when it rots.

As the raindrop falls and encounters increased resistance due to its growing surface area, its acceleration may be affected, resulting in changes to its final velocity over time.

Since raindrops grow as they fall, their surface area increases and therefore the resistance to their falling increases. This increased resistance results in a decrease in the raindrop's acceleration as it falls. If a raindrop has an initial downward velocity of 10 m/s and its downward acceleration is a, then the raindrop will experience a decreasing acceleration as it falls due to the increased surface area and resistance. However, the exact value of the raindrop's acceleration will depend on various factors such as the size of the raindrop, its shape, and the surrounding air resistance. Ultimately, the raindrop will reach a terminal velocity at which the forces of gravity and air resistance are balanced and it will continue to fall at a constant speed.

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Harry's fall from the helicopter's height, measured in horizontal distance, from the swimming pool Distance, d = 30 m.

Mark, who is moving at a speed of v = 15 m/s, unintentionally exits a helicopter.

T = 2 seconds later, he dives into a pool.

To determine how far Mark was from the pool when he fell from the helicopter, we must measure the horizontal distance.

Speed is defined as the amount of distance covered in a given amount of time, i.e., s=d/t, where d is the distance covered and t is the passing time.

d=s*t

d=12m/s*2s

d = 30 m

This means that when Mark fell from the helicopter, there was a 30 m gap between him and the swimming pool.

Length is an item's overall movement in such a directionless style. Regardless of the starting or ending point, distance can be defined as the amount of space an object has covered.

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Answer:

1,800kg

Explanation:

Force = Mass x Acceleration

F = m x a

15840N = m x 8.8

8.8 x m = 15840

m = 15840/8.8

= 1,800kg

Answer:

\(\displaystyle 1800\:kg.\)

Explanation:

\(\displaystyle am = F_{net} \\ \\ \frac{15840}{8,8} = \frac{8,8m}{8,8} \\ \\ \boxed{1800 = m}\)

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When shooting a bow and arrow, the archer pulls back the string and flexes the bow, storing potential energy.

Potential energy is the energy stored in an object due to its position or configuration. This type of energy is the stored energy of an object, which can be released and transformed into other forms of energy, such as kinetic energy. Potential energy is associated with forces such as gravity, electrical, and chemical, which can cause a change in an object’s energy state. Examples of potential energy include a stretched bow and arrow, a roller coaster at the top of a hill, and a compressed spring.

This potential energy is then transferred to the arrow in the form of kinetic energy. The arrow is then put in motion by the archer and due to the force of the bowstring, work is done in the form of acceleration. The arrow is then released and the kinetic energy propels it towards the target.

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The best measure of progress for complex system development is typically a combination of milestones, Key Performance Indicators (KPIs), and iterative feedback loops.

The best measure of progress for complex system development would be a combination of several metrics such as project timelines, budget adherence, stakeholder feedback, quality of deliverables, and the system's overall performance. It is important to have a holistic view of the project and measure progress at different stages of development to ensure that it is on track towards achieving the desired outcomes. Additionally, regular communication and collaboration between the development team and stakeholders is crucial for accurately assessing progress and making necessary adjustments to the project plan.
The best measure of progress for complex system development is typically a combination of milestones, Key Performance Indicators (KPIs), and iterative feedback loops. By tracking these factors, you can effectively monitor and evaluate the progress of the system while ensuring its alignment with overall objectives.

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Answer:

Voltage V = 117.65 volts

the voltage across the light bulb's filament is 117.65 V

Explanation:

The power of a light bulb can be expressed with respect to voltage and current flow.

Power = voltage × current

P = VI

Making Voltage V the subject of formula;

V = P/I

Given;

Power P = 4.0W

Current I = 0.034A

Substituting the given values;

V = 4/0.034

V = 117.65 volts

Vega's diameter is approximately \(3.92 *10^6 km\) and its effective temperature is about 9,400 K.

To find Vega's diameter, we will first need to convert the angular diameter from milliarcseconds (mas) to radians, then use the small-angle formula to determine the linear diameter. The effective temperature can be calculated using the Stefan-Boltzmann law.
1. Convert angular diameter to radians:
3.24 mas = \(3.24 * 10^{-3\) arcseconds  ≈ \(1.57 *10^{-8\) radians
2. Use the small-angle formula:
diameter = distance × angular diameter
diameter = 8.1 pc × \(1.57 *10^{-8\)  radians
diameter ≈ \(1.27 * 10^{-7\) pc
3. Convert the diameter to a more useful unit, such as kilometers:
1 pc ≈ \(3.086 * 10^{13 }km\)
diameter ≈  \(3.92 * 10^6 km\)
4. Calculate Vega's effective temperature using the Stefan-Boltzmann law:
\(Flux = \sigma * T^4\) (σ = Stefan-Boltzmann constant)
\(T = (Flux / \sigma)^{(1/4)\)
T ≈ 9,400 K
So, Vega's diameter is approximately \(3.92 *10^6 km\) and its effective temperature is about 9,400 K.

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The inside plate temperature is approximately 235.7°C.

The net heat transfer from the plate surface to the surrounding air can be calculated using the equation:

\(Q_n_e_t\) = \(Q_r_a_d_i_a_t_i_o_n\) - \(Q_c_o_n_v_e_c_t_i_o_n\)

where \(Q_r_a_d_i_a_t_i_o_n\) = σ(ε)(A)(T⁴) is the heat lost from the plate surface by radiation, \(Q_c_o_n_v_e_c_t_i_o_n\) = h(A)(\(T_p_l_a_t_e\) - \(T_a_i_r\)) is the heat transferred from the plate surface to the air by convection, σ is the Stefan-Boltzmann constant, ε is the emissivity of the plate, A is the surface area of the plate, T is the temperature of the plate in Kelvin, \(T_a_i_r\) is the temperature of the air, \(T_p_l_a_t_e\) is the inside plate temperature, and h is the convective heat transfer coefficient.

By rearranging the equation and solving for \(T_p_l_a_t_e\), we get:

\(T_p_l_a_t_e\) = [(\(Q_r_a_d_i_a_t_i_o_n\) - h(A)(\(T_p_l_a_t_e\) - \(T_a_i_r\)))/σ(ε)(A)\(]^(^1^/^4^)\)

Substituting the given values, we get:

\(T_p_l_a_t_e\) = [(300 - 25(0.5*0.75)(\(T_p_l_a_t_e\) - 20))/ (5.67 x \(10^-^8\) x 0.4 x 0.375)\(]^(^1^/^4^)\)

Solving for \(T_p_l_a_t_e\), we get:

\(T_p_l_a_t_e\) = 508.85 K = 235.7°C

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Answer:

1.) The 1ˢᵗ three term is (-32), (-7) and 18

2.) The 1ˢᵗ three term is 127, 106 and 85

Step-by-step explanation:

Here,

First Term = a₁ = - 32

Common Difference = (d) = 25

Now, For 1ˢᵗ three term,

n = 1

a₁ = - 32

n = 2

aₙ = a + (n - 1)d

a₂ = (-32) + (2 - 1) × 25

a₂ = (-32) + 1 × 25

a₂ = (-32) + 25

a₂ = -7

n = 3

aₙ = a + (n - 1)d

a₃ = (-32) + (3 - 1) × 25

a₃ = (-32) + 2 × 25

a₃ = (-32) + 50

a₃ = 18

Thus, The 1ˢᵗ three term is (-32), (-7) and 18

Here,

First Term = a₁ = 127

Common Difference = (d) = -21

Now, For 1ˢᵗ three term,

n = 1

a₁ = 127

n = 2

aₙ = a + (n - 1)d

a₂ = 127 + (2 - 1) × (-21)

a₂ = 127 + 1 × (-21)

a₂ = 127 - 21

a₂ = 106

n = 3

aₙ = a + (n - 1)d

a₃ = 127 + (3 - 1) × (-21)

a₃ = 127 + 2 × (-21)

a₃ = 127 - 42

a₃ = 85

Thus, The 1ˢᵗ three term is 127, 106 and 85

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Answer:

\(\boxed {\boxed {\sf a=42.8 \ m/s^2}}\)

Explanation:

Acceleration can be found by dividing the change in velocity by the time.

\(a=\frac{v-u}{t}\) (v is the final velocity, u is the initial velocity, t is the time).

The velocity increased from 22 m/s to 236 m/s in 5 seconds. Therefore:

\(v=236 \ m/s\\u=22 \ m/s\\t= 5 \ s\)

Substitute the values into the formula.

\(a=\frac{236 \ m/s - 22 \ m/s}{5 \ s}\)

Subtract in the numerator.

\(a=\frac{214 \ m/s}{5 \ s}\)

Divide.

\(a=42.8 \ m/s^2\)

The acceleration of the object is 42.8 meters per square second.

Answer:

The friction of braking heats up the tire and the road. The temperature is so high that it reaches the melting point of the rubber in the tire. The melting rubber is what leaves a mark on the road.

Explanation:

Answer:

the friction of braking heats up the tires and the road. then the temperature gets even hotter to the point where it melts the rubber.

Explanation:

this is my answer so be careful how you copy it, but you've got this guys schools is almost out stay strong an have fun and be safe this summer keep pushing <33.

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Stem cells is a population of cells that can be maintained for years.

Stem cells are undifferentiated cells that have the capacity to differentiate into a wide variety of body cells.

Here,

The only cells in your body that can differentiate into other cell types, including blood, bone, and muscle cells, are stem cells. They also fix tissue that has been harmed.

Stem cells are now important in the treatment of blood cancer and blood disorders. Stem cells may potentially be used to treat a wide range of other diseases, according to medical researchers.

Stem cells are highly valuable for ageing research since they are thought to be immortal in culture. Increased proteostasis, which regulates protein quality, governs this longevity.

An association between elevated proteostasis and the immortality of human embryonic stem cells was discovered by a study team.

Hence,

Stem cells is a population of cells that can be maintained for years.

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