Assume that, as the battery wears out, the voltage decreases at 0.03 volts per second and, as the resistor heats up, the resistance is increasing at 0.02 ohms per second. When the resistance is 100 ohms and the current is 0.02 amperes, at what rate is the current changing

Answers

Answer 1

Answer:

[tex]\frac{dI}{dt} =-3*10^-^4amps/sec[/tex]

Explanation:

From the question we  are told that

Voltage decreases at   [tex]\frac{dv}{dt} =-0.03volts/sec[/tex]

Resistance increase at [tex]\frac{dR}{dt}=0.02ohms /sec[/tex]

Resistance at [tex]R=100ohms[/tex]

Current at [tex]I=0.02amps[/tex]

Generally the equation for ohms law is mathematically represented as

       [tex]V=IR[/tex]

Therefore

       [tex]\frac{dV}{dt} =R\frac{dI}{dt} +I\frac{dR}{dt}[/tex]

Generally making [tex]\frac{dI}{dt}[/tex] subject of the formula in the above equation mathematically gives

       [tex]\frac{dV}{dt} =R\frac{dI}{dt} +I\frac{dR}{dt}[/tex]

      [tex]R\frac{dI}{dt} = \frac{dV}{dt} -I\frac{dR}{dt}[/tex]

       [tex]\frac{dI}{dt} =\frac{1}{R} (\frac{dV}{dt} -I\frac{dR}{dt})[/tex]

Therefore

       [tex]\frac{dI}{dt} =\frac{1}{100}((-0.03) -(0.02)*(0.02))[/tex]

Generally it is given that the change in current is

       [tex]\frac{dI}{dt} =-3*10^-^4amps/sec[/tex]


Related Questions

Which process is defined as breaking down rocks into smaller pieces without changing the rocks' compositions

Answers

Answer:

mechanical weathering

Explanation:

Answer:

Mechanical weathering is responsible for the composition of a rock

Explanation:

The answer is (D)

1. An impulse is a force acting over some amount of time to cause a change in momentum. On the other hand, work is a ______________ acting over some amount of ___________________ to cause a change in __________________.

Answers

Answer:

Force, distance, energy

Explanation:

An impulse is a force acting over some amount of time to cause a change in momentum. On the other hand, work is a a force acting over some amount of distance to cause a change in energy

An impulse is a force acting over some amount of time to cause a change in momentum. On the other hand, work is a a force acting over some amount of distance to cause a change in kinetic energy."

The given problem is based on the concept of impulse and the work done. As per the impulse momentum theorem, when some magnitude of force is applied on an object for a small interval of time, then it will cause some momentum change.

That is,

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

here, F is the applied force.

And as per the concept of work energy theorem, "the work done by the applied force to cause the displacement of an object is equivalent to the change in the kinetic energy of object.

That is,

[tex]W = \Delta KE\\F \times d=\Delta KE[/tex]

here, F is the applied force and d is the distance moved by object.

Thus, we can conclude that the complete paragraph is,

"An impulse is a force acting over some amount of time to cause a change in momentum. On the other hand, work is a a force acting over some amount of distance to cause a change in kinetic energy."

Learn more about the work energy theorem here:

https://brainly.com/question/24509770

A working fluid enters a steady flow system with a velocity of 30m/s and leaves at

140m/s. The mass flow rate is 9 kg/s. The properties of the fluid entry are 13.8 bar,

0.122 m3

/kg, and internal energy 42.2 kJ/kg, and exit properties are 1.035 bar, 0.805

m3

/kg and internal energy 208 kJ/kg. Determine the work transfer in kW from the

system​

Answers

Answer:

Pretty sure it’s A

Explanation:

Would ike brainliest

How is a physical change different to a chemical change. Give an example of a physical change.​

Answers

In a physical change the appearance or form of the matter changes but the kind of matter in the substance does not. However in a chemical change, the kind of matter changes and at least one new substance with new properties is formed

Answer:

Physical change is different to chemical change by that physical changes can be reversed, meaning it can be turned back to its original form, but chemical changes CANNOT! Chemical change is something that creates a NEW substances that cannot be reversed. It creates new forms.

Explanation:

Example of chemical change: Change in texture- fried egg. It cannot be turned back to its original form after it is fried.

I truly hope this is helpful!!

If so, please, please mark brainliest, i haven’t got any!

Thanks! Have  wonderful day! :)

PLEASE ITS AN Emergency IF ITS RIGHT I WILL GIVE BRAINLIEST

Answers

Answer:

all of those are pisitions

Explanation:

If you Blow up a balloon, will the composition of Air inside the balloon changes? Why? Why not?

Answers

Answer:

it change by the pressure of the air and how its pulling the elastic even more

Explanation:

therefore it changes shape and has more differences than before sometimes the colour of it will go lighter if a lot of air and darker if not a lot

What do scientists know about the future of the universe?
what dark matter is made of
why the expansion of the universe is accelerating
that stars will eventually burn out causing the universe to become cold and dark
that galaxies spin much slower than they should based on visible matter

Answers

Answer:

B. Why the expansion of the universe is accelerating

Explanation:

possibly pretty sure if not right then the answer is A. What dark matter is made of hope this helps please mark brainiest only answer plz

Why the expansion of the universe is accelerating is what scientists know

about the future of the universe.

Scientists have observed that radiation emitted by the galaxies have shifted

towards the red end of the electromagnetic spectrum. This means that there

has been an increase in the wavelength for this to occur.

This tells us that the universe is expanding which was why the wavelength

of the emission spectra experienced a shift or stretch.

Read more on https://brainly.com/question/9981218

A small lead ball, attached to a 1.10-m rope, is being whirled in a circle that lies in the vertical plane. The ball is whirled at a constant rate of three revolutions per second and is released on the upward part of the circular motion when it is 1.3 m above the ground. The ball travels straight upward. In the absence of air resistance, to what maximum height above the ground does the ball rise

Answers

Answer:

1.84 m

Explanation:

For the small lead ball to be balanced at the tip of the vertical circle just before it is released, the reaction force , N equal the weight of the lead ball W + the centripetal force, F. This normal reaction ,N also equals the tension T in the string.

So, T = mg + mrω² = ma where m = mass of small lead ball, g = acceleration due to gravity = 9.8 m/s², r = length of rope = 1.10 m and ω = angular speed of lead ball = 3 rev/s = 3 × 2π rad/s = 6π rad/s = 18.85 rad/s and a = acceleration of normal force. So,

a = g + rω²

= 9.8 m/s² + 1.10 m × (18.85 rad/s)²

= 9.8 m/s² + 390.85 m/s²

= 400.65 m/s²

Now, using v² = u² + 2a(h₂ - h₁)  where u = initial velocity of ball = rω = 1.10 m × 18.85 rad/s = 20.74 m/s, v = final velocity of ball at maximum height = 0 m/s (since the ball is stationary at maximum height), a = acceleration of small lead ball = -400.65 m/s² (negative since it is in the downward direction of the tension), h₁ = initial position of lead ball above the ground = 1.3 m and h₂ = final position of lead ball above the ground = unknown.

v² = u² + 2a(h₂ - h₁)

So, v² - u² = 2a(h₂ - h₁)

h₂ - h₁ =  (v² - u²)/2a

h₂ =  h₁ + (v² - u²)/2a

substituting the values of the variables into the equation, we have

h₂ =  1.3 m + ((0 m/s)² - (20.74 m/s)²)/2(-400.65 m/s²)

h₂ =  1.3 m + [-430.15 (m/s)²]/-801.3 m/s²

h₂ =  1.3 m + 0.54 m

h₂ =  1.84 m

A horse is working steadily, providing 750 WW of output power. How much food energy does the horse need to work for 1 hour, to the nearest MJMJ

Answers

Answer:

2.7MJ

Explanation:

Power is expressed according to the formula

Power = work done/Time

The energy required is also known as the work done

Given

Power = 750Watts

Time = 1hr = 3600secs

Substitute the given values into the formula

750 = work done/3600

Work done = 750×3600

Work done = 2,700,000Joules

Convert to megajoules

Since

1MJ = 10^6Joules

x = 2.7×10^6Joules

Cross multiply

10^6x = 2.7×10^6

x = 2.7×10^6/10^6

x = 2.7

Hence the amount of energy absorber by the food in MJ is 2.7MJ

An ion has 8 protons and 10 electrons. What is the total charge? *

+2
-2
+18
-18
+8
-10

Answers

The answer is -2 sjs

Which items in this image are electrically conductive?
Check all that apply
the power lines themselves
the wooden pole that supports the lines
the rubber soles on the worker's boots
the metal tools the worker uses
the wooden ladder leaning against the lines

Answers

all except the rubber boots.

The answers should be The power lines themselves and The metal tools the worker uses (the 1st and 4th choices).

(For anyone curious, the image I attached to this answer is the image given for this problem.)

jack goes an average of 40 m/min. How far does he jog in 1.2 hours?

Answers

Answer:

2880 (m)

Explanation:

1. the formula of distance is: L=v*t, where L - the required distance; v - average velocity; t - elapsed time.

2. if t=1.2 hours, it means 72 minutes, then

3. L=40*72=2880 m.

a 500g model rocket with a weight of 4.90 N is launched straight up. The small rocket burns for 5s and has a steady thrust of 20N. What maximum altitude does the rocket reach

Answers

Answer:

The maximum height reached by the rocket at the given time is 377.5 m.

Explanation:

Given;

mass of the rocket, m = 500 g = 0.5 kg

weight of the rocket, W = 4.9 N

Applied force or thrust of the rocket, F = 20 N

time of the rocket motion, t = 5 s

Apply Newton's second law of motion;

Applied force = Weight of the rock + Upward force of the rocket

F = W + ma

where;

a is the upward acceleration of the rock

[tex]a = \frac{F-W}{m} \\\\a = \frac{20 - 4.9}{0.5} \\\\a = 30.2 \ m/s^2[/tex]

The maximum height reached by the rock during the given time is calculated as;

h = ut + ¹/₂at²

h = 0 + ¹/₂at²

h = ¹/₂at²

h =  ¹/₂ (30.2)(5)²

h = 377.5 m

Therefore, the maximum height reached by the rocket at the given time is 377.5 m.

What kind of injury would most likely come from an unfortunate slide into home in a baseball game?

erosion

macule

crust

bullae

Answers

macule i do believe.

Why could it be argued that the respiratory system is most critical to sustaining life?

Answers

Explanation:

Energy is the most important ingredient for life. Organisms use energy in diverse ways. Scientifically, energy is defined as the ability to do work. Without this ability, organisms would not exist.

So, the most important process is one that can furnish the body with energy.

The respiratory system happens to be the one that furnishes the body with energy. During respiration, the energy needs of the body is met by series of processes. Oxygen is taken in and use to liberate calories from chemical substances packed with energy. So, without respiration, the bodily energy demands will not be met.

Please could you help me. A race car travels along a straight length of track at 65 m/s. The race car and driver have a
combined mass of 580 kg. Calculate the total energy in the kinetic energy store of the car and
driver. Make sure you give the correct symbol for the unit. *

Answers

Answer:

1.23×10⁶ J

Explanation:

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

Velocity (v) = 65 m/s

Mass (m) = 580 Kg

Kinetic energy (KE) =?

The kinetic energy can be obtained by using the following formula :

KE = ½mv²

Where:

KE => is the kinetic energy.

m => is the mass

v => is the velocity

With the above formula, we can obtain the kinetic energy as follow:

Velocity (v) = 65 m/s

Mass (m) = 580 Kg

Kinetic energy (KE) =?

KE = ½mv²

KE = ½ × 580 × 65²

KE= 290 × 4225

KE = 1.23×10⁶ J

Thus, the kinetic energy is 1.23×10⁶ J

It is not possible to convert work entirely into heat. It is impossible to transfer heat from a cooler to a hotter body. The second law of thermodynamics is a consequence of the first law of thermodynamics. It is possible for heat to flow spontaneously from a hot body to a cold one or from a cold one to a hot one, depending on whether or not the process is reversible or irreversible. All of these statements are false.

Answers

Complete Question:

Which one of the following is a

true statement?

Group of answer choices.

A) The second law of thermodynamics is a consequence of the first law of thermodynamics.

B) It is possible for heat to flow spontaneously from a hot body to a cold one or from a cold one

to a hot one, depending on whether or not the process is reversible or irreversible.

C) It is not possible to convert work entirely into heat.

D) It is impossible to transfer heat from a cooler to a hotter body.

E) All of these statements are false.

Answer:

E) All of these statements are false.

Explanation:

All of the following statements are false;

I. The second law of thermodynamics is a consequence of the first law of thermodynamics. The second law of thermodynamics is about a physical quantity known as entropy while the first law of thermodynamics states that energy cannot be created or destroyed but can only be transformed from one form to another.

II. It is possible for heat to flow spontaneously from a hot body to a cold one or from a cold one

to a hot one, depending on whether or not the process is reversible or irreversible. According to the second law of thermodynamics this is false due to the entropy.

III. It is not possible to convert work entirely into heat. It is possible to completely convert work into heat because it involves transferring energy.

IV. It is impossible to transfer heat from a cooler to a hotter body.

An object with velocity 141 ft/s has a kinetic energy of 1558.71 ft∙lbf, on a planet whose gravity is 31.5 ft/s2. What is its mass in pounds

Answers

Answer:

The mass of the object is 5.045 lbm.

Explanation:

Given;

kinetic energy of the object, K.E = 1558.71 ft.lbf

velocity of the object, V = 141 ft/s

The kinetic energy of the object is calculated as;

[tex]K.E = \frac{1}{2} mV^2\\\\mV^2 = 2K.E\\\\m = \frac{2K.E}{V^2} \\\\1 \ lbf = 32.174 \ lbm.ft/s^2\\\\m = \frac{2 \ \times \ 1558.71 \ ft.lbf \ \times \ 32.174 \ lbm.ft/s^2 }{(141 \ ft/s)2 \ \ \times \ \ \ \ 1 \ lbf\ }[/tex]

[tex]m = \frac{(2 \ \times \ 1558.71 \ \times \ 32.174) \ lbm.ft^2/s^2 }{(141 )^2\ ft^2/s^2 }\\\\m = \frac{(2 \ \times \ 1558.71 \ \times \ 32.174) \ lbm }{(141 )^2 }\\\\m = 5.045 \ lbm[/tex]

Therefore, the mass of the object is 5.045 lbm.

Help please !

In sexual reproduction, why is fertilization necessary to produce an organism ?

1. Fertilization allows an organism to receive a complete set of chromosomes -one set each parent .

2. Fertilization is needed to make the cell bigger . A bigger cell leads to the development of an organism .

3. Fertilization allows an organism to reproduce asexually , making identical clones of itself.

4. Fertilization is needed so that the egg cell can obtain nutrients from the sperm cell. Without these nutrients , an organism cannot develop .

Answers

Answer:

1. Fertilization allows an organism to receive a complete set of chromosomes -one set each parent.

Explanation:

What is the most common frame of reference used by humans

Answers

Answer:

All measurements of motion will be compared to a frame of reference. Therefore, the most commonly used frame of reference is Earth itself, even though it moves.

Explanation:

A 2-kg block sliding at 4.5m's north hits a wall and rebounds at 3.2 m s south What is the object's change in momentum?​

Answers

Answer:

2.6kgm/s

Explanation:

Momentum is the product of mass of an object and its velocity

Change in momentum = mass × change in velocity

Change in momentum = m∆v

Given

Mass m =2kg

Change in velocity ∆v = 4.5-3.2

∆v = 1.3m/s

Change in momentum = 2×1.3

Change in momentum = 2.6kgm/s

Hence the object change in momentum is 2.6kgm/s

Let's say you got tired and you are now pushing with a force of 36 N. Find the acceleration of the box.

Answers

This question is incomplete, the complete question is;

A 13 kg box rests on the flat surface. The coefficient of static friction and coefficient of kinetic friction is μ_s = 0.450 and μ_k = 0.380 respectively.

Let's say you got tired and you are now pushing with a force of 36 N. Find the acceleration of the box.

Answer: the acceleration of the box is 0.9548 m/s²    {backward}

Explanation:

Given that;

mass m = 13 kg

pushing the box with a force of 36 N

the acceleration of the box = ?

ones the box starts moving, kinetic frictional force starts acting.

so

f_k = μ_k × m × g

we substitute

f_k = 0.380 × 13 × 9.8

f_k = 48.412 N

force needed to keep it in motion is 48.412 N

so

Acceleration = Net Force / mass

Acceleration = (48.412 N - 36 N) / 13

Acceleration = 12.412 / 13

Acceleration = 0.9548 m/s²    {backward}

Therefore, the acceleration of the box is 0.9548 m/s²   {backward}

What substances cannot be separated by steam distillation?

Answers

Oil cannot be separated


A person should be able to find all the answers to their science questions in the text
book.
True
False

Answers

True is the answer because it’s a Sience book

It is a false statement that a person should be able to find all the answers to their science questions in the text because there are billions of scientific questions and it is almost impossible for any kind of textbook to contain all the answers.

What is science?

Science is the methodical, empirically-based pursuit and application of knowledge and understanding of the natural and social worlds.

A method of learning about the world is science. Science allows people to participate in the creation of new knowledge as well as use that knowledge to further their goals.

The idea that someone should be able to find all the answers to their scientific inquiries in the text is untrue since there are countless unanswered scientific questions, making it nearly impossible for any textbook to provide them all.

Thus, the statement is false.

Learn more about the science here, refer to the link ;

https://brainly.com/question/18186842

#SPJ2

What is the unit vector along ⃗ = hat − hat + hat ?​

Answers

Answer:

1 hat

Explanation:

A diode laser emits a wavelength of 987 nm. All of its output energy is absorbed in a detector that measures a total energy of 0.52 J over a period of 32 s. How many photons per second are being emitted by the laser?

Answers

Answer:

8.04 × 10¹⁶ photons per second

Explanation:

First, we calculate the energy per photon from E = hc/λ where h = Planck's constant = 6.63 × 10⁻³⁴ Js c = speed of light = 3 × 10⁸ m/s and λ = wavelength of laser = 987 nm = 987 × 10⁻⁹ m = 9.87 × 10⁻⁷ m

So, E = hc/λ = 6.63 × 10⁻³⁴ Js × 3 × 10⁸ m/s/9.87 × 10⁻⁷ m = 19.89/9.87 × 10⁻¹⁹ J = 2.02 × 10⁻¹⁹ J per photon.

Since we have a total of 0.52 J over a period of 32 s, the output power is 0.52 J/32 s = 0.0163 J/s.

Thus the total number of photons per second is thus in output power/energy per photon = 0.0163 J/s ÷ 2.02 × 10⁻¹⁹ J per photon

= 8.04 × 10¹⁶ photons per second

A point charge (q1) has a magnitude of 3.0 x10-6 C. A second charge (q2) has a magnitude of -1.5 x10-6 C and is located 0.12 m from the first charge. Determine the electrostatic force each charge exerts on the other.

Answers

Answer:2.81 N

Explanation:

Given

[tex]q_1=3\times 10^{-6}\ C\\q_2=-1.5\times 10^{-6}\ C[/tex]

distance between them r=0.12 m

Electrostatic force is [tex]F=\frac{kq_1q_2}{r^2}[/tex]

Putting values

[tex]F=\dfrac{9\times 10^9\times (3\times 10^{-6})\times (-1.5\times 10^{-6})}{0.12^2}\\F=2.81\ N[/tex]

As positively charged sodium ions enter the axon, _______ flow(s) out to repolarize part of the axon

a. potassium ions

b. a neural impulse

c. the action potential

d. glial cells

Answers

Voltage-gated sodium channels at the part of the axon closest to the cell body activate, thanks to the recently depolarized cell body. This lets positively charged sodium ions flow into the negatively charged axon, and depolarize the surrounding axon.

As positively charged sodium ions enter the axon, potassium ions flow out to repolarize part of the axon.

At the beginning of an action potential of cell membrane, the sodium ion gates open and sodium ions flows into the cell.  This process is called depolarization. Due to rapid influx of sodium ion, the channel is eventually closed.

The potassium channels are then activated in a process called repolarization. This process occurs when the potassium channels open and allow potassium ions to flow out of the cell.

To maintain the cell membrane potential, cells are kept at low concentration of sodium ions and high concentration of potassium ions.

Thus, as positively charged sodium ions enter the axon, potassium ions flow out to repolarize part of the axon.

Learn more here: https://brainly.com/question/7778945

2. A 2500 kg car is slowed down uniformly from an initial velocity of 20.0 m/s to
the north by a 6250 N braking force acting opposite the car's motion. Use the
impulse-momentum theorem to answer the following questions:
a. What is the car's velocity after 2.50 s?
b. How far does the car move during 2.50 s?
c. How long does it take the car to come to a complete stop?

Answers

Answer:

13.75m/s; 42.2m; 8s

Explanation:

(a) the car's velocity after 2.50 s is 13.75 m/s

(b) The distance traveled by the car is 42.18 m

(c)  the time taken for the car to come to complete stop is 8 s.

The given parameters;

mass of the car, m = 2500 kg

initial velocity of the car, u = 20 m/s

breaking applied on the car, f = 6250 N

The acceleration of the car is calculated as follows;

[tex]F = ma \\\\a = \frac{F}{m} = \frac{6250}{2500} = 2.5 \ m/s^2[/tex]

(a) Using impulse-momentum theorem, the car's velocity after 2.5 s is calculated as follows;

[tex]F = \frac{m(u-v)}{t} \\\\m(u-v) = Ft\\\\u-v = \frac{Ft}{m} \\\\v = u - \frac{Ft}{m} \\\\v = 20 - \frac{6250 \times 2.5}{2500} \\\\v = 13.75 \ m/s[/tex]

(b) The distance traveled by the car during the 2.5 s;

[tex]v^2 = u^2 - 2as\\\\2as = u^2 - v^2\\\\s = \frac{u^2 - v^2}{2a} \\\\s = \frac{20^2 - 13.75^2}{2\times 2.5} \\\\s = 42.18 \ m[/tex]

(c) The time taken for the car to come to a complete stop;

when the car stop's the final velocity, v = 0

v = u - at

0 = 20 - 2.5t

2.5t = 20

[tex]t = \frac{20}{2.5} \\\\t = 8 \ s[/tex]

Thus, the time taken for the car to come to complete stop is 8 s.

Learn more here: https://brainly.com/question/14559060

A capacitor is connected to an AC generator. As the generator's frequency is increased, what happens to the current in the capacitor

Answers

Answer:

The current increases.

Explanation:

A capacitor can be defined as an electronic component used in electrical circuits to store charge temporarily.

A capacitor is connected to an AC generator. As the generator's frequency is increased, the current in the capacitor increases as well.

This ultimately implies that, when a capacitor is connected to an AC generator, the frequency of the circuit is directly proportional to the amount of current flowing through it.

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