Three resistors are connected in series to a 42.1 V battery: R1 = 2.96 Ω, R2 = 7.48 Ω and R3 = 7.42 Ω. Now, as R3 heats up, its resistance increases according to: fraction numerator d R subscript 3 over denominator d t end fraction = 0.552 Ω/s Assume the resistance of the other resistors remain constant. Find fraction numerator d P over denominator d t end fraction , the rate at which the power pulled from the battery is changing in W/s, at the instant R3 = 91.7 Ω. The sign shows whether the power is increasing or decreasing.

Answers

Answer 1

Answer:

dP/dt = 26.12 W/s

Explanation:

First, we need to find the value of dt at the instant when R₃ becomes 91.7 Ω. Therefore, we use:

dR₃/dt = 0.552 Ω/s

where,

dR₃ = Change in value of resistance 3 = 91.7 Ω - 7.42 Ω = 84.28 Ω

dt = time interval = ?

Therefore,

84.28 Ω = (0.552 Ω/s)(dt)

dt = (84.28 Ω)/(0.552 Ω/s)

dt = 152.68 s

Now, we find change in power (dP):

dP = V(R₁ + R₂ + dR₃)

dP = (42.1 V)(2.96 Ω + 7.48 Ω + 84.28 Ω)

dP = 3987.71 W

Dividing by dt:

dP/dt = 3987.71 W/152.68 s

dP/dt = 26.12 W/s


Related Questions

A car travels 45 km due north and 70 km west. What is the car's displacement? 6 points 24.7 km northeast 83.2 km northwest 76.5 km northwest 115 km north

Answers

Answer:

3150

Explanation:

if if you were two times 45 times 70 it would give you that answer

Which statement describes the direction of the current and the magnetic field when the left hand rule is being used?

Answers

Answer:

They are perpendicular.

Explanation:

Which best describes a reference frame?

Answers

Answer: A system or frame of reference are those conventions used by an observer (usually standing at a point on the ground) to be able to measure the position and other physical magnitudes.

Answer:

C a position from which something is observed

om edu 2021

Explanation:

Three vectors, one of 74 km at 30°, the second of 54 km at 135°, and the final of 62 km due South. What is the sum of the three vectors?
- will give brainliest -

Answers

Answer:

The sum of the three vectors are 63.18 km.

Explanation:

Given that,

One vector = 74 km at 30°

Second vector = 54 km at 135°

Third vector = 62 km

We need to calculate the sum of the three vectors

Using given data

[tex]R=\vec{A}\sin\theta+\vec{B}\sin\theta+\vec{C}[/tex]

Put the value into the formula

[tex]R=-74\sin30+54\sin135+62[/tex]

[tex]R=63.18\ km[/tex]

Hence, The sum of the three vectors are 63.18 km.

what will happen if a low massive main sequence star runs out of hydrogen fuel?​

Answers

Answer:

Low mass stars are: hydrogen burning in the core while on the Main Sequence. As the hydrogen fuel runs out, extreme pressure raises the temperature to 100 million degrees, where helium burning becomes possible.

 explain why earths acceleration is usually very small compared to the acceleration of the object the earth interact with

Answers

Answer:

F-ma

Explanation:

If you are speaking of objects like satellites, etc. then their mass is much less than that of the Earth. A good approximation is Newton's first law of motion:

Force = Mass ×  Acceleration

often written:

F = m a

The gravitational force is the same between the Earth and the object - only the mass differs. So the acceleration is inversely proportional to the mass.

You would like to know whether silicon will float in mercury and you know that can determine this based on their densities. Unfortunately, you have the density of mercury in units of kilogrammeter3kilogrammeter3 and the density of silicon in other units: 2.332.33 gramcentimeter3gramcentimeter3. You decide to convert the density of silicon into units of kilogrammeter3kilogrammeter3 to perform the comparison. By which combination of conversion factors will you multiply 2.332.33 gramcentimeter3gramcentimeter3 to perform the unit conversion?

Answers

Answer:

The conversion factors you will use to multiply is 1/0.001 or simply 1000 to perform the unit conversion.

Explanation:

To convert from gram/centimeter³ to kilogram/meter³

First,

NOTE:

1 kilogram = 1000 gram, that is 1 gram = 0.001 kilogram; and

1 meter = 100 centimeter, that is 1 centimeter = 0.01 meter

then,

1 meter³ = 1000000 centimeter³, that is

1 centimeter³ = 0.000001 meter³

Now, we can write that

1 kilogram/meter³ = 1000 gram / 1000000 centimeter³

= 0.001 gram/centimeter³

If 1 kilogram/meter³ = 0.001 gram/centimeter³

Then, 1 gram/centimeter³ = 1/0.001 kilogram/meter³  = 1000 kilogram/meter³

Hence, 1 gram/centimeter³  = 1000 kilogram/meter³

∴The conversion factors you will use to multiply is 1/0.001 or simply 1000 to perform the unit conversion.

That is,

2.33 gram/centimeter³ will be 2.33 × 1000 kilogram/meter³

= 2330 kilogram/meter³

____ can be calculated if you know the distance that an object travels in one unit of time.

A.motion
B.meter
C.Rate
D.Speed
E.velocity
F.slope
G.refrence point

PLS HELP NOW !!!

Answers

Answer:

D.Speed

Explanation:

The speed of an object is the distance the object travels in one unit of time.

Speed can be calculated if you know the distance that an object travels in one unit of time, therefore the correct answer is option D.

What is speed?

The total distance covered by any object per unit of time is known as speed. It depends only on the magnitude of the moving object.

The unit of speed is a meter/second. The generally considered unit for speed is a meter per second.

Thus, Speed can be calculated if you know the distance that an object travels in one unit of time, therefore the correct answer is option D.

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Determine whether the following statements are true or false and give an explanation or counter example. a. If the acceleration of an object remains​ constant, then its velocity is constant. b. If the acceleration of an object moving along a line is always​ 0, then its velocity is constant. c. It is impossible for the instantaneous velocity at all times atb to equal the average velocity over the interval atb. d. A moving object can have negative acceleration and increasing speed.\

Answers

Answer:

A.) False

B.) True

C.) True

D.) False

Explanation:

a. If the acceleration of an object remains​ constant, then its velocity is constant. False because if velocity is constant, acceleration will be equal to zero.

b. If the acceleration of an object moving along a line is always​ 0, then its velocity is constant. Yes. According to definition of acceleration, saying it is the rate of change of velocity. So if velocity is not changing, acceleration = 0

c. It is impossible for the instantaneous velocity at all times at b to equal the average velocity over the interval at b. Yes. Because of constant velocity

d. A moving object can have negative acceleration and increasing speed. False. Because when an object is coming to rest velocity is always reducing.

A cannon is fired straight up into the air. If the cannon ball comes back down to the launch point in 5 seconds, what was the maximum height reached by the ball? ​

Answers

Answer:

30.63 m

Explanation:

From the question given above, the following data were obtained:

Total time (T) spent by the ball in air = 5 s

Maximum height (h) =.?

Next, we shall determine the time taken to reach the maximum height. This can be obtained as follow:

Total time (T) spent by the ball in air = 5 s

Time (t) taken to reach the maximum height =.?

T = 2t

5 = 2t

Divide both side by 2

t = 5/2

t = 2.5 s

Thus, the time (t) taken to reach the maximum height is 2.5 s

Finally, we shall determine the maximum height reached by the ball as follow:

Time (t) taken to reach the maximum height = 2.5 s

Acceleration due to gravity (g) = 9.8 m/s²

Maximum height (h) =.?

h = ½gt²

h = ½ × 9.8 × 2.5²

h = 4.9 × 6.25

h = 30.625 ≈ 30.63 m

Therefore, the maximum height reached by the cannon ball is 30.63 m

1. A tourist accidentally drops a camera from a 40.0 m high bridge and it falls for 2.85 seconds. If g = 9.81 m/s2 and air resistance are disregarded, what is the speed of the camera as it hits the water?

I NEED HELP plsssss

Answers

Answer:

28 m/s

Explanation:

vf^2=vi^2+2a(delta y)

=sqrt(2* -9.8 m/s^2* -40 m)

=28 m/s

The diagram below shows a simplified floor plan for a small house. As the day goes on and the sun begins to set the rooms on the west side of the house grow warmer than the rooms on the east side as shown by the temperatures in each room.
The doors between the rooms are open. Which of the following most likely describes the direction of heat flow through the house and the effect of the great flow on temperature?
The options are in the picture please help i’ll give brainliest!!!

Answers

Answer:

Your answer is C! :D

Explanation:

From Room 1 to Rooms 2 and 3 until all rooms are about 27°C. The correct option is C.

What is heat flow?

The movement of heat (energy) from the interior of the Earth to the surface is referred to as heat flow.

The majority of the heat is generated by the cooling of the Earth's core and the generation of radioactive heat in the upper 20 to 40 km of the Earth's crust.

The direction of heat flow is determined by the temperature difference between the bodies. Heat is transferred from a hotter body to a colder one.

As the illustration depicts a simplified floor plan for a small house. As the day progresses and the sun sets, the rooms on the west side of the house become warmer than the rooms on the east, as evidenced by the temperatures in each room.

The direction of heat flow through the house, and the effect of the large flow on temperature, will be from Room 1 to Rooms 2 and 3, until all rooms are around 27°C.

Thus, the correct option is C.

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according to newton’s first law a moving object acted on by a net force of zero....

Answers

Answer:

Newton's first law says that if the net force on an object is zero ( Σ F = 0 \Sigma F=0 ΣF=0\Sigma, F, equals, 0), then that object will have zero acceleration. That doesn't necessarily mean the object is at rest, but it means that the velocity is constant.

Explanation:

According to Newton’s first law of motion, a moving object acted on by a net force of zero will continue in motion.

Newton's first law of motion states that an object in state of rest or uniform motion in a straight line will continue in that state unless it is acted upon by an external force.

This first is also known as the law of inertia because it is the reluctance of an object in motion to stop moving or reluctance of an object at rest to start moving which depends on the mass of the object.

Thus, we can conclude that according to Newton’s first law of motion, a moving object acted on by a net force of zero will continue in motion.

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in which of the following media does sound travel faster?

Answers

Answer:

Sound travel faster through the medium of solid.

Marie curie investigation method

Answers

Answer: To isolate the unknown substances, of which only tiny amounts were present, the Curies were the first to use a new method of chemical analysis. They employed various standard (but sometimes demanding) chemical procedures to separate the different substances in pitchblende.

Explanation:

A 2.5 μF capacitor consists of 2 large, thin metal plates separated by a plexiglas sheet. The plexiglas sheet has a dielectric constant of 3.4. The capacitor is connected to a 60 V battery and fully charged. Then, whilst still connected to the battery, the plexiglas sheet is removed (assume that the spacing between the metal plates does not change). Calculate the amount of charge that flows to (or from) the capacitor plates when the sheet is removed. Additional charge flowing onto the plates is represented with a + sign and charge leaving the plates is represented with a - sign.

Answers

Answer:

Q / Q₀ = 3.4 ,      ΔQ = 31.14 10⁻⁶ C

Explanation:

For this exercise we will calculate the charge of the capacitor with and without dielectric

the capacitance is given by

          C = Q /ΔV

   

we also use the ratio of capacitances

          C = k C₀

           Q /ΔV = kQ₀ /ΔV

           Q = k Q₀

            Q / Q₀ = k

            Q / Q₀ = 3.4

If we want a numerical value

           C = k Q / DV

           Q = C ΔV / k

            Q = 2.5 10⁻⁶ 60 / 3.4

            Q = 44.12 10⁻⁶ C

whereby the charge without dielectric is

          Q₀ = Q / 3.4

          Q₀ = 44.12 / 3.4 10⁻⁶

          Q₀ = 12.98 10⁻⁶ C

therefore the charge when removing the dielectric is reduced, the amount of charge that flows is

          ΔQ = Q - Q₀

          ΔQ = (44.12 - 12.98) 10⁻⁶

          ΔQ = 31.14 10⁻⁶ C

The amount of charge should be Q / Q₀ = 3.4 ,    ΔQ = 31.14 10⁻⁶ C

Capacitor:

For this given situation,  we will determine the charge of the capacitor with and without dielectric

We know that

the capacitance is given by

         C = Q /ΔV

Now here we can applied the ratio of capacitances

So,

         C = k C₀

          Q /ΔV = kQ₀ /ΔV

          Q = k Q₀

           Q / Q₀ = k

           Q / Q₀ = 3.4

In case of numerical value

          C = k Q / DV

          Q = C ΔV / k

           Q = 2.5 10⁻⁶ 60 / 3.4

           Q = 44.12 10⁻⁶ C

whereby the charge without dielectric is

         Q₀ = Q / 3.4

         Q₀ = 44.12 / 3.4 10⁻⁶

         Q₀ = 12.98 10⁻⁶ C

Thus the charge at the time when removing the dielectric is decreased , the amount of charge that flows is

         ΔQ = Q - Q₀

         ΔQ = (44.12 - 12.98) 10⁻⁶

         ΔQ = 31.14 10⁻⁶ C

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2.389 x 10^5 mi . Convert this distance to standard form.

Answers

Answer:

238 900 miles

Explanation:

google said it.

10. A boy runs 5 miles East then turns around and runs 7.5 miles West. What is
his displacement?

Answers

Answer:

2.5

Explanation:

PLEASE HELP!! Salmon often jump waterfalls to reach their
breeding grounds.
Starting downstream, 3.41 m away from a
waterfall 0.397 m in height, at what minimum
speed must a salmon jumping at an angle of
28.4° leave the water to continue upstream?
The acceleration due to gravity is 9.81 m/s2
Answer in units of m/s.

Answers

Answer:

7.13781 m/s

Explanation:

X-direction             | Y-direction

[tex]x=v_{xo}t+\frac{1}{2}a_{x}t^2[/tex]      | [tex]y=v_{yo}t+\frac{1}{2}a_{y}t^2[/tex]

[tex]3.41=v_{o}cos(28.4)t[/tex]  | [tex]0.397=v_{yo}sin(28.4)t+\frac{1}{2} (-9.81)t^2[/tex]

[tex]3.41=v_{o}(0.87964)t[/tex]  | [tex]0.397=v_{yo}sin(28.4)(\frac{3.87658}{v_{o} })+\frac{1}{2} (-9.81)(\frac{3.87658}{v_{o} })^2[/tex]

[tex]\frac{3.41}{0.87964}=v_{o}t[/tex]             | [tex]0.397=1.84379-\frac{73.71171}{v^2}[/tex]

[tex]\frac{3.87658}{v_{o} } =t[/tex]                | [tex]7.13781=v[/tex]

A cell contains 20% solute. If it is placed in a solution with 35% solute, what will happen to the cell?

Answers

i think it will shrink because it will loose or is loosing the water. I am not very sure but i have done my research

What year did Clara Baer invent Nukem/Newcomb ball?

Answers

Answer:

1895

Explanation: it was invented in 1895 by Clara Berra a physical education instructor at Sophie Newcomb College.

Answe Clara Baer invented Nukem/Newcomb ball in the year of 1895.

Explanation:Have a blessed day!

Which action will cause the induced current to decrease or remain constant?
A. Moving the magnet faster B. Increasing the strength of the magnet
C. Adding more turns to coil. D. Reversing polarity of the magnet.

Answers

Answer:

Its Reversing the polarity of the magnet :)

Explanation:

The action that cause the induced current for reduce or be same is when the polarity is reverse with respect to the magnet.

The following actions should not induced the current:

In the case when the magnet moved in the fastest way. When the magnet strength is increased. And, when the more turns to coil is added.

Therefore we can conclude that the action that cause the induced current for reduce or be same is when the polarity is reverse with respect to the magnet.

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Which of the following does not affect gas pressure

Answers

Answer:

I NEED OPTIONS

Explanation:

Protons and ____ have electric charge?

Answers

Electronssssssssssssssssssssssssssss
i believe it’s electrons

You are piloting a General Aviation aircraft (e.g. Cessna 172) over the Georgia Tech campus in level flight at 3000 ft altitude. Your airspeed indicator shows that the true airspeed is 100 knots. You have trimmed the aircraft to have no sideslip and pitch angle at a 3 degree angle of attack. Your magnetic compass (which is uncorrected for magnetic variation) indicates that you are flying in the direction of local magnetic East. A local weather forecast predicted the winds to be steady at 10 knots coming exactly from the northeast direction at the time you took off.
a. Using the information provided above and any additional information you may require (state what it is), determine your aircraft's north and east velocity components, Vn and ve, in knots. Starting from Tech Tower at t = 0, you continue in this direction and you are planning to fly directly over a local VOR beacon exactly 10 minutes later. However, you note that you don't pass directly over the beacon and after 10 minutes and 15 seconds have elapsed you are exactly 300 meters away from the VOR beacon in the Easterly direction.
b. Assuming the discrepancy is attributable only to wind speed, estimate the actual average wind speed components, Vwind-n and Vwind-e in knots. Use a flat Earth approximation.
c. Based on the instruments you are using, describe 3 common causes of measurement error that could affect the output of either sensor.

Answers

Answer:

a)  vₓ = 100 + 7.07 = 107.07 knot     (East) ,   v_{y} = 7.07 knot            (North)

b) v_wind_ North = 0 ,   v_wind_West = 61.12 knot      (West)

Explanation:

a) This is a vector velocity addition problem, they tell us that the plane goes East at 100 Knots and the wind goes North East at 10 Knots

the components ask the total speed of the plane.

For this we decompose the wind speed

            cos 45 = v₂ₓ / V₂

            sin 45 = [tex]v_{2y}[/tex] / v₂

            v₂ₓ = v₂ cos 45

           v_{2y} = v₂ sin 45

            v₂ₓ = 10 cos 45 = 7.07 m / s

            v_{2y} = 10 sin45 = 7.07 m / s

the speed of the plane is

            vₓ = v_plane + v₂ₓ

            v_{y} = v_{2y}

            vₓ = 100 + 7.07 = 107.07 knot     (East)

            v_{y} = 7.07 knot            (North)

speed is

            v = (107.07 i ^ + 7.07 j ^) knot

b) Estimated time for Target VOR t = 10 min

for a time of t = 10 min and 15 s, it is at a distance of d = 300 m from the VOR in an easterly direction

find the average speed of time on the ride

in the North direction there is no deviation so the average wind speed is zero

            v_wind_ North = 0

In the east direction

as the estimated time was 10 min and the real time for the distance is 10 min 15 s

the time difference is t = 15 s to travel d = 300 m

with these data we can calculate the speed of the plane

              v = x / t

              v = 300/15

              v = 20 m / s

let's reduce this speed to knot

             v_real = 20 m / s (1knot / 0.5144 m / s) = 38.88 knots

therefore the wind speed is

              v_tral = v_plane + v_wind_Este

              v_wind_Este = v_real - v_avión

               v_wind_Este = 38.88 - 100

                v_wind_Este = -61.12 knot

the negative sign indicates that the wind is going west

                v_wind_West = 61.12 knot (West)

3)

* The compass is not calibrated, to correct the magnetic deviation, therefore it gives an appreciable error in the direction

* The wind speed is taken when leaving, but there is no constant monitoring, so a change in direction or wind speed in the trajectory can significantly affect the results.

* The aircraft may noir throughout the trajectory at level, due to pitch errors

How much work is done (in Joules) by a weightlifter in raising a 60-kg barbell from the floor to a height of 2m? Work done =

Answers

Answer:

1176 Nm or J

Explanation:

W = F*d

F = 60kg * 9.8 kgm/s^2 = 588 N

W = 588 N * 2m = 1176 N*m

The formula for calculating work is Work = Force Distance. The SI unit for work is the joule (J) or Newton meter (N m). One joule is the amount of work done when one Newton of force moves a one-meter object.

1176 N × m = work

What is a work done?The formula for calculating work is Work = Force Distance. The SI unit for work is the joule (J) or Newton meter (N m). One joule is the amount of work done when one Newton of force moves a one-meter object.The product of displacement and the component of the object's applied force in the displacement direction is the work done by a force. When we push a block with some force'F'and the body moves with some acceleration, we are doing work.

When energy is transferred from one store to another, work is performed. When a force causes an object to move, work is done.

W = F.d

F = 60kg × 9.8 kgm/s²= 588 N

W = 588 N × 2m = 1176 N × m.

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Which of the following is a scientific law?

A. No one is allowed to operate a motor vehicle unless that person is over the age of 16 and passes a driving exam.

B. For a gas in a closed container at a constant temperature, the product of the pressure and the volume remains constant.

C. No one is allowed to take the property of anyone else without their permission.

D. All cars must stop at red lights and move through an intersection when the light is green.

Answers

Answer:

B. For a gas in a closed container at a constant temperature, the product of the pressure and the volume remains constant.

Explanation:

The rest are societal laws, as they are telling you something you should avoid or follow.

Hope this helps :)

B: For a gas in a closed container at a constant temperature, the product of the pressure and the volume remains constant.

The speed of light is 300,000 kilometres per second. This number isn't easy to get a feel for but it's good it's so fast because it allows us to see things instantly on Earth without waiting for the light to arrive.
The Sun is far enough away that light takes an appreciable time to travel to us. Assuming the sun is 150,000,000 kilometres away, how long would it take us to realize if the sun suddenly stopped shining?

Answers

Answer:

499 seconds or a little over 8 minutes

Explanation:

~150 million km/ 300,000 km per second = 500 seconds

what is 100+10000000000000000000

Answers

Answer:

200000000000000000000000

Explanation:

Answer:

10000000000000000100

Explanation:

The suffix used to name a monatomic anion is
O A. ite
O B. ide
O C. anion
O D. ate

Answers

The answer is B.ide I looked it up on google hope this help and sorry if it was late
The answer is B . Just took the quiz. IDE
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