"A total charge of 9.0 mC passes through a wire in 3.5 seconds. What is the current in the wire? How many electrons pass through the cross-sectional area in 10.0 s? If the number of charges that pass through the cross-sectional area during the given time interval doubles, what is the resulting current?"

Answers

Answer 1

1) 0.00257 A

2) [tex]1.6\cdot 10^{17}[/tex] electrons

3) 0.00512 A

Explanation:

1)

A current is defined as the flow of charge through a conductor.

The intensity of current is calculated as:

[tex]I=\frac{q}{t}[/tex] (1)

where

q is the amount of charge passing through a certain point in the conductor

t is the time interval during which this charge passes

In the wire in this problem we have:

[tex]q=9.0 mC=0.009 C[/tex] is the charge

[tex]t=3.5 s[/tex] is the time elapsed

Therefore, the current in the wire is:

[tex]I=\frac{0.009}{3.5}=0.00257 A[/tex]

2)

To find the total charge passing through a given point of the wire in a certain time, we re-arrange eq. (1):

[tex]q=It[/tex]

where

I is the current

t is the time interval we are considering

In this problem we have:

I = 0.00257 A is the current in the wire

t = 10.0 s is the time we are considering

Therefore, the charge is:

[tex]q=(0.00257)(10.0)=0.0257 C[/tex]

We know that this charge q consists of N electrons, so we can write

[tex]q=Ne[/tex]

where

[tex]e=1.6\cdot 10^{-19}C[/tex] is the charge of one electron

Solving for N, we find:

[tex]N=\frac{q}{e}=\frac{0.0257}{1.6\cdot 10^{-19}}=1.6\cdot 10^{17}[/tex]

3)

In this problem, we are told that the number of charges that pass through the cross-sectional area during the given time interval doubles, so we have:

[tex]N'=2N=2(1.6\cdot 10^{17})=3.2\cdot 10^{17}[/tex]

Therefore, the total charge through the point in the wire in a time of

t = 10.0 s

will be

[tex]q'=N'e=(3.2\cdot 10^{17})(1.6\cdot 10^{-19})=0.0512 C[/tex]

And so, the current in this case will be

[tex]I'=\frac{q'}{t}=\frac{0.0512}{10.0}=0.00512 A[/tex]

And we see that this current is twice the current we had in part 1), because the current is proportional to the number of charge carriers.

Answer 2

The charges are  [tex]0.00257\ A[/tex],  [tex]1.6 \times 10^{17}[/tex] electrons, and [tex]0.00512 \ A[/tex], and their further calculation can be defined as follows:

Current calculation:

For part 1:

A movement of energy via a conductor is known as just a current.

This current's strength is computed as:

[tex]I=\frac{q}{t}.....(1)[/tex]

wherein q is the quantity of charge travelling through a specific location in the conductor, and t denotes a time interval during which this charge flows.

In the this problem, we have the following wire:

[tex]\to q=9.0 \ m C=0.009\ C[/tex] charges  

Time elapsed [tex]t=3.5 \ s[/tex]

current wire:

[tex]\to I=\frac{0.009}{3.5}= 0.00257 \ A[/tex]

For part 2:

You re-arrange eq. (1) to obtain that total charge passing through a particular location of the wire inside a given time.

[tex]\to q=It\\\\[/tex]

where

current =I

interval time =t

[tex]I = 0.00257\ A[/tex]  current in the wire

[tex]t = 10.0\ s[/tex]

Calculating the charge:

[tex]\to q=(0.00257) (10.0) =0.02575\ C[/tex]

We assume there are N electrons in this test charge, thus we can write

[tex]q=Ne\\\\[/tex]

where

Calculating the charge in one electron

[tex]e=1.6 \times 10^{-19}\ C[/tex]

Solving for N:

[tex]\to N=\frac{q}{e}=\frac{0.0257}{1.6\times 10^{-19}}=1.6 \times 10^{17}\\\\[/tex]

For point 3:

A number of charges which it pass through the cross-sectional area during the given time interval doubles in this issue, so we have:

[tex]\to N'=2N=2(1.6 \times 10^{17})=3.2\times 10^{17}\\\\[/tex]

As a result, the complete charge passed through the wire point in a period of

[tex]t = 10.0\ s\\\\[/tex]

[tex]\to q'=N'e=(3.2\times 10^{17})(1.6\times 10^{-19})=0.0512\ C\\\\[/tex]

So, in this scenario, the current will be

[tex]\to I'=\frac{q'}{t}=\frac{0.0512}{10.0}=0.00512\ A\\\\[/tex]

Because the current is proportional to the number of charge carriers, we can see that this current is twice as large as the current we had in part 1.

Find out more about the total charge here:

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Related Questions

You wish to lift a 400 lb car engine a vertical distance of 3 ft using a strong rope. Unfortunately, your hand crank winch can only generate 100 lb of tension in your rope. In order to overcome this obstacle, you use a multiple pulley system (block and tackle) to lift the engine.

What is the mechanical advantage of this system?

Answers

Answer:

Explanation:

Mechanical Advantage = Outputforce / inputForce

outputforce = 400 X 3 = 1200

Mechanical Advantage = 1200 / 100

MA = 12

help please :) 15 points.

A compass always points to Earth’s true North Pole because the north pole of the magnet in the compass is attract to Earth’s ________ magnetic pole.

Answers

Answer:

south

Explanation:

What percentage of a radioactive substance remains after 7.00 half-lives have elapsed?

Answers

Answer:

Explanation:

We want to know the percentage of the radio active element after 7half life

Let assume the original mass or quantity of the radioactive element is No

After first half life it remains No/2

Second half life No/4

Third half life No/8

Fourth half life No/16

Fifth half life No/32

Sixth half life No/64

Seventh half life No/128

So after the seventh half life the radioactive element has decay to No/128

Then, the that remain is

The remaining amount / Original amount × 100

%remain = (No/128 / No) × 100

No cancel No

%remain = 100/128

%remain = 0.78%

PLEASE HELP Me THIS IS VERY IMPORTANT❗️❗️❗️

The video described the transfer of energy involved when hitting a golf ball. Think of another event from your life that you do regularly. Explain how energy is transferred between different types in your new scenario.

Answers

The transfer is that the Goff ball was moving and it had energy

An object is placed at a known distance in front of a mirror whose focal length is also known. You apply the mirror equation and find that the image distance is a negative number. This result tells you that __________

Answers

Answer:

the image is behind the mirror, so the image is virtual and upright.

Explanation:

What happens to a light wave when it travels from air into glass?

Answers

Light is refracted when it crosses the interface from air to glass in which it moves more slowly.
Since the light speed changes at the interface, the wave length of the light must change too. The wave length decreases as the light enter the medium and the light wave changes direction.

Janelle is exploring the relationship between the brightness of a light bulb and the current that powers it. When applying these currents to the same bulb, the bulb is brighter when the current is greater. Which lists the currents in the order of the bulb brightness they cause from most bright to least bright?

a) WYXZb) YWZXc) WYZXd) XZWY

Answers

Answer:

B.) Y,W,Z,X

Explanation:

Edge 2021

Assuming letters represent current strengths in descending order, the correct answer for the list ordered from most bright to least bright is option (b) YWZX.

The relationship between the brightness of a light bulb and the current that powers it is such that a brighter bulb corresponds to a greater current when other factors such as voltage and bulb type are held constant.

To order the currents from greatest to least based on brightness, we would start with the highest current and move to the lowest. Since the question does not provide specific current values for W, X, Y, and Z, the best we can do is rely on the principle that higher current leads to greater brightness.

Given this, and assuming that W > X > Y > Z or some similar relationship, the order from most bright to least bright would be from the letter associated with the highest current to the lowest.

So if 'Y' represents the largest current and 'W', 'Z', and 'X' follow in decreasing order, the correct answer would be: (b) YWZX

Which pressure in or around the glomerulus is the result of all pressures and is responsible for filtrate formation?

Answers

Answer:

Net filtration pressure

Explanation:

The net filtration pressure is the outward pressure minus the inward pressure. Figure of a glomerular capsule with glomerular hydrostatic pressure, blood colloid osmotic pressure, and capsular hydrostatic pressure.

The sum of all of the influences, both osmotic and hydrostatic, results in a net filtration pressure (NFP) of about 10 mm Hg. A proper concentration of solutes in the blood is important in maintaining osmotic pressure both in the glomerulus and systemically.

Autorhythmic cells can generate action potentials spontaneously because they have Autorhythmic cells can generate action potentials spontaneously because they have channels for Na+ and K+ that are always open. L-type Ca2+ channels. a net influx of Na+. unstable membrane potentials. prolonged Ca2+ influx.

Answers

Answer:

Because of unstable membrane potentials

Explanation:

Autorhythmic cells are specialized cardiac muscle cells in the heart from which electrical impulses called action potentials originate. These cells can generate electrical impulses without any external simulations by the nerve cells. I.e. they are self – excitable.

Autorhythmic cells spontaneously create action potentials because they have an unstable resting or membrane potentials that continuously depolarizes, drifting slowly toward threshold. As sodium ions enter the cell, the inner surface of the plasma membrane gradually becomes less negative, generating the pacemaker potential.

Though their is an influx of sodium ions into the cell, the basic reason for the spontaneous generation of action potentials solely because of unstable membrane potentials. and not majorly due to the influx of sodium ion.

Final answer:

Autorhythmic cells can generate action potentials spontaneously due to the presence of L-type Ca2+ channels.

Explanation:

Autorhythmic cells are a type of specialized cells found in the heart. Unlike regular cardiac muscle cells, autorhythmic cells can generate action potentials spontaneously without external stimuli. This is due to the presence of L-type Ca2+ channels.

These channels allow the entry of calcium ions, which triggers the depolarization phase of the action potential. The influx of calcium ions leads to the opening of voltage-gated potassium channels and closure of calcium channels, helping restore the resting membrane potential.

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Person a pushes a box on wheeled to the left with a force of 10,000 Newton's .Person b and friction from the floor exerts a net force of 9,990n force to the right how does the box move and why

Answers

The box will be pushed by Person A and so the box will move with magnitude of 10 N force and in left direction.

Explanation:

So in the present problem, three forces are acting on the box. The force exerted by Person A on the box is represented as F₁ and it is given as 10000 N. Similarly, the net force exerted by Person B and friction on the box is given as 9990 N and it is represented as F₂. Since, F₁ is acting toward left side and F₂ is acting toward right side, both the force will be acting opposite to each other. Then the net force of all the three force acting on it will be the difference between F₁ and F₂ and the box will move towards the direction of maximum force.

[tex]Net force = 10000-9990 = 10 N[/tex]

Thus, the magnitude of the net force acting on the box will be 10 N and as the force exerted by Person A on the box is greater than the combined force of Person B and friction, the box will move towards left side as exerted by Person A.

So the box will be pushed by Person A and so the box will move with magnitude of 10 N force and in left direction.

The gap between electrodes in a spark plug is 0.060 cm. Producing an electric spark in a gasoline-air mixture requires an electric field of 3.0 × 106 V/m. What minimum potential difference must be supplied by the ignition circuit to start a car?

Answers

The minimum potential difference must be supplied by the ignition circuit to start a car is -1800 V

Explanation:

Given data,

E= 3 ×10 ⁶ Δx=0.06/100

We have to find the minimum potential difference

E= -ΔV/Δx

ΔV=- E × Δx

ΔV =-3 ×10 ⁶ . 0.06/100

ΔV=-1800 V

The minimum potential difference must be supplied by the ignition circuit to start a car is -1800 V

Answer:

I can confirm that is the answer

Explanation:

I did the question

What instrument can you use to measure the circumference of your waist?

Answers

Answer:

A measuring tape can be used to measure the circumference of your waist.

Answer:

waist circumference

Explanation:

What is the gravitational force between a 45 kg person, and the Earth at 5.98 x 1024 kg, with a distance of
6.38 x 106 m?
 Object 1 (m1): 45 kg person
 Object 2 (m2): 5.98 x 1024 kg Earth
 Distance: (r): 6.38 x 106 meters
A. 227 N
B. 398 N
C. 441 N
D. 510 N

Answers

Answer:

C. 441 N

Explanation:

Gravitational force between two objects can by calculated by the formula

= G m₁m₂ / r² , m₁ and m₂ are masses at distance r

= ( 6.67 x 10⁻¹¹ x 45 x 5.98 x 10²⁴) / ( 6.38 x 10⁶ )²

= 44.09 x 10

= 440.9 N

= 441 N .  

A student is using a frequency generator set to 440 Hz. Another student has an identical generator playing an unknown frequency. When both sounds are playing, the student hears a 'beat' with a frequency of 2Hz. What would the unknown frequency be

Answers

Answer:

The unknown frequency is either 438 Hz or 442 Hz.

Explanation:

The frequency of a beat heard when two sounds with frequencies f₁ and f₂, are played simultaneously, is simply the difference between two frequencies.

b = |f₁ - f₂|

b = 2 Hz

f₁ = 440 Hz

f₂ = ?

440 - f₂ = 2 or 440 - f₂ = -2

f₂ = 438 Hz or 442 Hz

The unknown frequency is either 438 Hz or 442 Hz.

Hope this Helps!!!

What is mechanical energy?

Answers

Answer:

In physical sciences, mechanical energy is the sum of potential energy and kinetic energy. It is the energy associated with the motion and position of an object.

Explanation:

Answer:

Mechanical Energy is Kinetic energy + the Potential Energy.

Explanation:

ME=KE+PE

The heat that builds up in the greenhouse effect initially enters the atmosphere as

Answers

Answer:

Solar radiation

Explanation:

Gases such as methane , ozone, and Carbon dioxide are known as the greenhouse gases. When the gases are heated up they usually build up in the greenhouse effect and after a while they enter the atmosphere as solar radiation.

It is important to note that the release of the gases is usually the first(initial) release of the gases into the atmosphere.

Answer:

infrared radiation within the sun's radiation.

Explanation:

The solar radiation that gets to earth contains about 3 electromagnetic waves which includes visible rays, infrared rays, ultraviolet rays. Infrared rays carries heat through space and is the part of the solar radiation that carries heat into the earth's atmosphere.

1 point
It can be observed that electrons are ejected from a metal surface by
shining light onto it. According to the accepted wave theory, what change
should occur in the electrons being ejected by the metal? *
Their number should increase.
Their mass should decrease.
Their charge should reverse.
Their speed should decrease.

Answers

Answer:

Their number should increase

Explanation:

The photoelectric effect is a phenomenon that causes the ejection of electrons from that metal as light shined onto a metal surface. Only certain frequencies of light can cause the ejection of electrons. However, if the frequency of the incident light is too low then no electrons were ejected even if the intensity of the light was very high. If the frequency of the light was higher then electrons were able to be ejected from the metal surface even if the intensity of the light was very low.

According to the accepted wave theory, light of any frequency will cause electrons to be emitted. Kinetic energy emitted by the electrons depends upon the intensity of light.

According to the accepted wave theory, number of electrons being ejected by the metal should increase

The correct option is Their number should increase. According to classical wave theory, an increase in light intensity should increase the number of ejected electrons in the photoelectric effect. However, experiments show that the kinetic energy depends on the light's frequency, not intensity.

The phenomenon being described here is known as the photoelectric effect, which is a key piece of evidence for the particle nature of light. The classical wave theory of light predicted that the kinetic energy of ejected electrons should increase with the intensity of the light.

However, experiments have shown that the kinetic energy of the ejected electrons depends on the frequency of the light, not its intensity, and no electrons are ejected below a certain threshold frequency, regardless of the light's intensity.

Given the choices in the question, none exactly match the expectations from classical wave theory. However, based on the wave theory, one might erroneously expect that as the intensity of light increased, the number of ejected electrons (if any) would increase, which is the closest option provided.

Technician A says that a waste spark ignition system fires two spark plugs at the same time. Technician B says that the waste spark ignition system uses ignition coils connected to companion cylinders. Which technician is correct?
a. Technician A only
b. Technician B only
c. Both technicians A and B
d. Neither technician A nor B

Answers

Neither technician A nor B. No technician is correct.

What is waste spark Ignition?

Two spark plugs are connected to the ends of one coil in a waste spark ignition system (for a two-cylinder engine) ( for 4 cylinder engine two coils are used, each driving two spark plugs ).

As a result, both spark plugs will light up simultaneously. The first (A) cylinder's compression stroke will ignite one spark plug, while the opposing cylinder's exhaust stroke will fire the second ( wasted ). Cylinder "A" will fire during the exhaust stroke when it is time for cylinder "B" to fire during compression.

Due of the opposing current flow, both spark plugs burn simultaneously from the ends of just one coil. The spark "flows" in this manner from the center to the exterior.

Therefore, Neither technician A nor B. No technician is correct.

To learn more about Technician, refer to the link:

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Final answer:

Both Technician A and Technician B are correct; the waste spark ignition system fires two spark plugs at the same time and uses ignition coils connected to companion cylinders. So the correct option is c.

Explanation:

The subject of this question is the waste spark ignition system which is used in internal combustion engines. When evaluating the statements made by Technician A and Technician B, we find that Technician A says that a waste spark ignition system fires two spark plugs at the same time. This is correct as in a waste spark system, each ignition coil fires two plugs simultaneously - one on the compression stroke and the other on the exhaust stroke (which is the 'waste' spark). Technician B says that the system uses ignition coils connected to companion cylinders. This is also correct, as the coils are connected to two cylinders that are at the top dead center at the same time, one on the power stroke, and the other on the exhaust stroke.

Therefore, the answer is:

c. Both technicians A and B

A student team is to design a human powered submarine for a design competition. The overall length of the prototype submarine is 2.24 m, and its student designers hope that it can travel fully submerged through water at 0.560 m/s. The water is freshwater (a lake) at T = 15°C. The design team builds a one-eighth scale model to test in their university’s wind tunnel. A shield surrounds the drag balance strut so that the aerodynamic drag of the strut itself does not influence the measured drag. The air in the wind tunnel is at 25°C and at one standard atmosphere pressure. At what air speed do they need to run the wind tunnel in order to achieve similarity?

The students from the previous problem measure the aerodynamic drag on their model submarine in the wind tunnel. They are careful to run the wind tunnel at conditions that ensure similarity with the prototype submarine. Their measured drag force is 2.3 N. Estimate the drag force on the prototype submarine at the conditions given in Problem #3

Answers

Answer:

a) The speed is 61.42 m/s

b) The drag force is 10.32 N

Explanation:

a) The Reynold´s number for the model and prototype is:

[tex]Re_{m} =\frac{p_{m}V_{m}L_{m} }{u_{m} }[/tex]

[tex]Re_{p} =\frac{p_{p}V_{p}L_{p} }{u_{p} }[/tex]

Equaling both Reynold's number:

[tex]\frac{p_{p}V_{p}L_{p} }{u_{p} }=\frac{p_{m}V_{m}L_{m} }{u_{m} }[/tex]

Clearing Vm:

[tex]V_{m} =\frac{p_{p}V_{p}L_{p} u_{m} }{u_{p} p_{m} L_{m} }=\frac{999.1*0.56*8*1.849x10^{-5} }{1.138x10^{-3}*1.184*1 } =61.42m/s[/tex]

b) The drag force is:

[tex]\frac{F_{Dm} }{p_{m}V_{m}^{2}L_{m}^{2} } =\frac{F_{Dp} }{p_{p}V_{p}^{2}L_{p}^{2} } \\F_{Dp} =\frac{F_{Dp}p_{p}V_{p}^{2}L_{p}^{2} }{p_{m}V_{m}^{2}L_{m}^{2} } \\F_{Dp}=\frac{2.3*999.1*0.56^{2} *8^{2} }{1.184*61.42^{2}*1^{2} } =10.32N[/tex]

Answer:

1. The air speed at which wind tunnel should be ran in order to achieve similarity = 61.423 m/s

2. The drag force on the prototype submarine at the conditions given above = 10.325 N.

Explanation:

1. Here we have

Density of water at 15 °C = 999.1 kg/m³

Density of air at 25 °C = 1.184 kg/m³

[tex]\mu_{Water}[/tex] at 15 °C = 1.138 × 10⁻³ kg/(m·s)

[tex]\mu_{Air}[/tex] at 25 °C = 1.849 × 10⁻⁵ kg/(m·s)    

The formula is

[tex]\frac{V_m\times \rho_m \times L_m}{\mu_m} = \frac{V_p\times \rho_p \times L_p}{\mu_p}[/tex]

Where:

[tex]V_m[/tex] = Velocity of the model =

[tex]\rho_m[/tex] = Density of the model medium at the medium temperature = 1.184 kg/m³

[tex]L_m[/tex] = Length of the model = 1/8 × [tex]L_p[/tex] = 0.28 m

[tex]\mu_m[/tex] = Dynamic viscosity of model medium at the model medium temperature = 1.849 × 10⁻⁵ kg/(m·s)

[tex]V_p[/tex] = Velocity of the prototype = 0.560 m/s

[tex]\rho_p[/tex] = Density of the prototype medium at the medium temperature = 999.1 kg/m³

[tex]L_p[/tex] = Length of the prototype = 2.24 m

[tex]\mu_p[/tex] = Dynamic viscosity of prototype medium at the prototype medium temperature 1.138 × 10⁻³ kg/(m·s)

Therefore

[tex]{V_m}{} = \frac{V_p\times \rho_p \times L_p \times \mu_m}{\mu_p\times \rho_m \times L_m}[/tex]

[tex]{V_m}{} = \frac{0.560\times 999.1 \times 2.24 \times 1.849 \times 10^{-5}}{1.138 \times 10^{-3}\times 1.184 \times 0.28}[/tex] =  61.423 m/s

The air speed at which wind tunnel should be ran in order to achieve similarity = 61.423 m/s

2. The drag force on the prototype is given by    

[tex]F_{D.p} = F_{D.m}(\frac{\rho_p}{\rho_m} )( \frac{V_p}{V_m})^2 ( \frac{L_p}{L_m})^2\\[/tex]

Where:

[tex]F_{D.p}[/tex] = Drag force of the prototype

[tex]F_{D.m}[/tex] = Drag force of the model

[tex]F_{D.p} =2.3(\frac{999.1 }{1.184} )( \frac{0.560 }{61.423 })^2 ( \frac{2.24 }{0.28})^2\\[/tex] =   10.325 N

The drag force on the prototype submarine at the conditions given above = 10.325 N.

What is occurring when two waves traveling along the same medium meet and cancel each other out?

Answers

Answer:

Destructive interference

Explanation:

Destructive interference occurs when waves come together in such a way that they completely cancel each other out. When two waves interfere destructively, they must have the same amplitude in opposite directions.

Answer:

Destructive interference

Explanation:

Destructive interference occurs when waves come together in such a way that they completely cancel each other out. When two waves interfere destructively, they must have the same amplitude in opposite directions.

im also taking the quiz now

If the speed of an object doubles, its kinetic energy

Answers

The kinetic energy is quadrupled since K=1/2mv^2

Which statement correctly compares sound and Electromagnetic waves?
A. Both EM and sound waves need matter to carry energy from one place to another.
B. Neither EM nor sound waves need matter to carry energy from one place to another.
C. EM waves carry energy parallel to the motion of the wave, while sound waves carry energy perpendicular to it
D. Sound waves carry energy parallel to the motion of the wave, while EM waves carry energy perpendicular to it.

Answers

Answer: D

D. Sound waves carry energy parallel to the motion of the wave, while EM waves carry energy perpendicular to it.

Explanation:

Sound is a longitudinal wave in which the displacement of the medium is in the same direction as, or the opposite direction to, the direction of propagation of the wave

While electromagnetic wave are transverse wave. A moving wave whose oscillations are perpendicular to the direction of the wave or path of propagation. So the correct answer is D. Sound waves carry energy parallel to the motion of the wave, while EM waves carry energy perpendicular to it

A space vehicle is traveling at 3760 km/h relative to Earth when the exhausted rocket motor is disengaged and sent backward. The relative speed between the motor and the command module is then 90 km/h. The mass of the motor is four times the mass of the module. What is the speed of the command module relative to Earth just after the separation?

Answers

Answer:

3688 km/h

Explanation:

Given:-

- The speed of vehicle relative to earth, vs_e = 3760 km/h

- The relative speed of command and motor, v_c/m = 90 km/h

- The mass of command = m

- The mass of motor = 4m

Find:-

What is the speed of the command module relative to Earth just after the separation?

Solution:-

- Consider the space vehicle as a system that detaches itself into two parts ( command and motor ). We will assume that the gravitational pull due to Earth on the space vehicle is negligible. With that assumption we have our system in isolation. We will apply the principle of conservation of linear momentum on the system as follows:

             Initial momentum = Final momentum

                                       Pi = Pf

                  M*vs_e = m*vc_e + 4m*vm_e

Where,

                  M = m + 4m = 5m

                  vc_e = Velocity of command relative to earth

                  vm_e = Velocity of motor relative to earth  

- We will develop a relation of velocities of command and motor in the frame of earth as follows:

                  vm_e =  v_c/m + vc_e        

- Substituting (vm_e) from Equation 2 into Equation 1, we have:

                  5m*vs_e = m*vc_e + 4m*(v_c/m + vc_e)

                  5m*vs_e = 5m*vc_e + 4m*(v_c/m)

- Solve for vc_e:

                  5m*vs_e -  4m*(v_c/m) = 5m*vc_e

                   vs_e - 0.8*(v_c/m) = vc_e

- Plug in values and evaluate vc_e:

                  vc_e = 3760 - 0.8*(90)

                  vc_e = 3,688 km/h

Answer:

The command module is traveling at 3832 km/h after the separation.

Explanation:

Let's call the mass of the module M, and the mass of the motor is 4M. The total mass of the vehicle, then, is M + 4M = 5M.

Now, momentum = force x distance.

Thus, momentum of the vehicle before separation 3760 x 5M = 18800M kg-km/h.

Let's call the velocity of the motor v. So the velocity of the module must be v + 93.

Now, after the separation, the momentum of the motor will be 4Mv, and the momentum of the module is M(v + 90) = Mv + 90M. The total momentum is 4MV + Mv + 90M = 5Mv + 90M.

From conservation of momentum that says initial momentum equals final momentum, we have;

18800M = 5Mv + 90M

Divide both sides by M to get;

18800 = 5v + 90

18800 - 90 = 5v

18710 = 5v

v = 18710/5

v = 3742 km/h

But v is the velocity of the motor, so we have to add 90 to get the velocity of the module, thus, velocity of module = 3742 + 90 = 3832

So the command module is traveling at 3832 km/h after the separation.

What force would be required to accelerate a 1,100kg car to 0.5 m/s2

Answers

Answer:

the force required to accelerate a 1,100kg car is 550N

what is accerleration

Answers

Answer:

See explanation

Explanation:

Acceleration is defined as the change in velocity. In other words, if your velocity changes, then you are accelerating. And since velocity is a vector of both speed and direction, you don't have to be speeding up to be accelerating, you could also just be turning. Hope this helps!

Acceleration is the change in velocity of an object, can involve speed or direction, and is measured as a vector quantity. It is notably expressed in physics by Newton's Second Law, F = ma, and experienced through everyday examples like using a car's accelerator.

In physics, acceleration is defined as the rate at which the velocity of an object changes over time. This can include changes in speed, direction, or both. It is a vector quantity, which means it has both magnitude and direction. Acceleration occurs when a force is applied to a mass, described by Newtons Second Law, with the equation F = ma, indicating that force (F) is the product of mass (m) and acceleration (a). The SI unit for measuring acceleration is meter per second squared (m/s²).

In casual conversation, to 'accelerate' often means simply to speed up. An example of this is using the accelerator pedal in a car, which increases the vehicle's speed. This effect of acceleration, the increase in velocity, conforms to the physical definition, though in a broader sense, acceleration encompasses any change in velocity, not just speeding up.

We usually experience acceleration in daily life through the steady increase in speed due to gravity when an object falls, known in physics as gravitational acceleration. However, acceleration in a technical sense involves any alteration in uniform motion, whether it's a change in speed or a change in direction.

Summary: Acceleration, a change in velocity, signifies a change in either the speed or the direction of an object, veering from its original motion path due to the application of an external force.

Use the drop-down menus to complete each statement about tornado safety

Answers

Answer:

Can we please have the options for the drop down menu

Explanation:

Answer:

Before a tornado warning occurs, you should Have a disaster plan ready

If you’re indoors during a tornado, you should go to the basement

If you’re outdoors during a tornado, you should  lie in a ditch or low-lying ditch

A wrench 0.500m long is applied to a nut with a force of 80.0N. Because of the cramped space, the force must be exerted upward and at an angle of 60.0 degrees, with respect to a line from the bolt through the end of the wrench. How much torque is applied to the nut

Answers

Answer:

The torque applied to the nut is 34.6 N-m.

Explanation:

Given that,

Length of the wrench, l = 0.5 m

Force applied by the wrench, F = 80 N

The force must be exerted upward and at an angle of 60.0 degrees, with respect to a line from the bolt through the end of the wrench.

Torque applied to the nut is given by :

[tex]\tau=Fr\ \sin\theta\\\tau=80\times 0.5\ \sin(60)\\\tau=34.6\ N.m[/tex]

So, the torque applied to the nut is 34.6 N-m.

A soccer player kicks a ball, changing its momentum by 11 kg. M/s, The net force on the ball is 910 N. How long does the soccer player maintain contact with the ball?

Answers

the soccer player maintains contact with the ball for approximately 0.0121 seconds.

We can use the impulse-momentum theorem to solve this problem. The impulse-momentum theorem states that the change in momentum of an object is equal to the impulse applied to it. Impulse [tex](\( J \))[/tex] is the product of force[tex](\( F \)) and time (\( \Delta t \)).[/tex]

[tex]\[ J = F \times \Delta t \][/tex]

Given:

- Change in momentum[tex](\( \Delta p \))[/tex]= 11 kg·m/s

- Net force[tex](\( F \))[/tex] = 910 N

Using the formula for impulse, we can rearrange it to solve for time[tex](\( \Delta t \)):[/tex]

[tex]\[ \Delta t = \frac{\Delta p}{F} \][/tex]

Substitute the given values:

[tex]\[ \Delta t = \frac{11 \, \text{kg·m/s}}{910 \, \text{N}} \]\[ \Delta t = \frac{11}{910} \, \text{s} \]\[ \Delta t \approx 0.0121 \, \text{s} \][/tex]

Therefore, the soccer player maintains contact with the ball for approximately 0.0121 seconds.

How do you use the coefficient to calculate the number of atoms in each molecule?

Answers

A coefficient called the Avogadro's number is used to calculate the number of atoms in each molecule.

What is Avogadro's number?

Avogadro's number is defined as a proportionality factor which relates number of constituent particles with the amount of substance which is present in the sample.

It has a SI unit of reciprocal mole whose numeric value is expressed in reciprocal mole which is a dimensionless number and is called as Avogadro's constant.It relates the volume of a substance with it's average volume occupied by one of it's particles .

According to the definitions, Avogadro's number depend on determined value of mass of one atom of those elements.It bridges the gap between macroscopic and microscopic world by relating amount of substance with number of particles.

Number of atoms can be calculated using Avogadro's number as follows: mass/molar mass×Avogadro's number.

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As the solar nebula contracts during the formation of the solar system, it Group of answer choices forms a black hole. flattens out into the ecliptic plane and spins faster due to conservation of angular momentum. reverses its direction of rotation. loses angular momentum.

Answers

Final answer:

During the formation of the solar system, the solar nebula contracts, spins faster due to conservation of angular momentum and flattens out into the ecliptic plane. This process doesn't result in a black hole formation or loss of angular momentum.

Explanation:

In the formation of the solar system, the solar nebula contracts and, due to the conservation of angular momentum, it starts to spin faster. As it continues to contract, it begins to flatten out into what we call the ecliptic plane, an imaginary plane that passes through all the planets orbits.

This movement and transformation do not lead to the formation of a black hole or necessarily result in the loss of angular momentum. Rather, the nebula maintains its angular momentum, as per the law of conservation, and this aids in speeding up the rotation as the nebula gets smaller. This is very similar to what happens when a figure skater pulls their arms in while spinning, they go faster but their angular momentum remains constant.

These processes—gravity-induced contraction, increase in rotation speed, and flattening into the ecliptic plane—are integral steps in our understanding of how our solar system came into existence.

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Final answer:

During the formation of the solar system, the solar nebula contracts, flattens into the ecliptic plane and spins faster. This is due to the conservation of angular momentum. The material is concentrated in the center, forming a star, with the remaining materials eventually becoming planets and moons.

Explanation:

As the solar nebula contracts during the formation of the solar system, it flattens out into the ecliptic plane and spins faster due to conservation of angular momentum. This process starts when a large cloud of gas and dust, which originally had rotational energy, begins to contract under its own gravity. The natural motion and turbulence of the material lead to an initial spinning motion.

As the nebula shrinks, the rotation causes it to flatten into a disk-like shape. This can be compared to a figure skater spinning more rapidly by bringing her arms in closer to her body, which minimizes her rotational radius and conserves angular momentum. Similarly, as the nebula contracts and its rotational radius decreases, it spins faster.

A majority of the matter becomes concentrated in the hot center, eventually leading to the formation of a star. The remainder of the material, consisting of solid particles which condense as the nebula cools, forms the planetesimals - the building blocks of the planets and moons.

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