A brine solution of salt flows at a constant rate of ​l/min into a large tank that initially held l of pure water. The solution inside the tank is kept well stirred and flows out of the tank at a rate of ​l/min. If the concentration of salt in the brine entering the tank is ​kg/l, determine the mass of salt in the tank after t min. When will the concentration of salt in the tank reach ​kg/l?.

Answers

Answer 1

To reach 01.kg/L concentration of salt in the tank will take around 18.9 min.

What is concentration in a solution?

The concentration of a solution is a measure of the amount of solute that has been dissolved in a given amount of solvent or solution.

A concentrated solution is one that has a relatively large amount of dissolved solute. A dilute solution is one that has a relatively small amount of dissolved solute.

The concentration ,C(t) of salt at time t is given by the mass x(t) at time t divided by the volume t + 100 at time t.

That is C(t) = x(t)/ (t+100)

So that,

C(t) = 0.2 -  [tex]\frac{2 * 10^4}{(t + 100)^4}[/tex]

The concentration of salt is 0.1 kg/L ,

we solve C(t) =0.1 ,

Giving the equation,

0.10.2 - [tex]\frac{2 * 10^4}{(t + 100)^4}[/tex]

t = [tex]100\sqrt[4]{2} -100[/tex]

≈ 18.9  minutes

Therefore,

To reach 01.kg/L concentration of salt in the tank will take around 18.9 min.

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Related Questions

The average velocity of a plane during a flight was 9.0 m/s. How long did it take the plane to travel 5.0 km

Answers

Answer:

The time taken is 555.56 s.

Explanation:

The average velocity is the ratio of the net velocity to the time required to achieve net velocity.

The formula of average velocity is,

v(av)=d/t

Given d=5.0 km which is 5*1000 m=5000 m and v(av)=9.0 m/s.

Therefore 9=5000/t

                 t=5000/9

                 t=555.56

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When encountering a powerboat in darkness or reduced visibility, what do visible white and red lights indicate?.

Answers

A visible white and red light indicate a second craft is coming from the starboard (right) side.

What is a navigation light?

A navigation light often referred to as a running light or position light, is a source of illumination aboard a ship, plane, or spacecraft that provides information about the location, course, or condition of the vehicle. Red and green navigation lights help with traffic control by indicating the orientation of the craft.

All navigation light systems typically comprise one or more white lights as well as red and green sidelights that designate the boat's port and starboard sides.

Having a flashlight on board is also essential since you never know when a navigation light may go out.

The typical navigational lights:

SidelightsSternlightMasthead lampoverall white lighting

Sidelights: Because they are visible to other vessels approaching from the side or head-on, these red and green lights are sometimes known as combo lights. The port (left) and starboard (right) sides of a ship are indicated by the red and green lights, respectively.

sternlight: Only from behind or almost behind the ship can one see the sternlight.

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Some people say the risk of hiv transmission from a healthcare provider (doctor, dentist, nurse, technician) is small. true or false? why?

Answers

Answer:. True

Explanation:

The risk of becoming infected from contact with an HIV-positive healthcare provider is indeed remote. The Centers for Disease Control and Prevention (CDC) have recommended the use of universal precautions by healthcare providers to minimize the risk of transmitting many infectious diseases, including hepatitis and HIV. The risk of transmission from patient to healthcare provider is far greater than from provider to patient.

"Some people say the risk of hiv transmission from a healthcare provider  is small."

That statement is True.  Because ...

There is NO statement on which public opinion is unanimous.

It can be something as innocuous as "The sky is blue during the day and rain makes the ground wet.", and you will never get 100% of the people to agree on it.  There will still be some people who say it's True and others who say it's False.

And plus ... In this particular case, we're talking about a public health question.  In today's political and cultural environment, marked by anti-science tendencies, a lot of people think that Science is not being truthful with us, it's all a big conspiracy, we are all being misled, and every individual should have the freedum to decide for himself.  So when it comes to talking about something like the risk of HIV transmission, everybody is his own expert.  Some will say the risk of transmission from a healthcare provider is substantial, and the rest will say it's small.

So the long sentence in the question is True.  Some people do indeed say that.  

The accepted value for the speed of sound is around 340 m/s. What are some reasons your value may be a little different from the accepted value

Answers

Answer:

The speed of sound depends on the medium thru which it travels in contrast to light (electromagnetic) which can travel thru a vacuum.

The speed of sound will depend on the density of the air thru which it travels - the density  of air is particularly affected by

humidity - water vapor in the air contributes to less density

temperature - warmer is less dense

motion of air - if the air is not motionless the speed will be affected

There are a few reasons why the value for the speed of sound may be a little different from the accepted value of 340 m/s such as the temperature and humidity of the air, the presence of other gases, and the shape of the object.

The temperature of the air: The speed of sound increases as the temperature of the air increases. So, if you measure the speed of sound in air that is warmer than 20 degrees Celsius, your value will be slightly higher than 340 m/s.

The humidity of the air: The speed of sound decreases as the humidity of the air increases. So, if you measure the speed of sound in air that is more humid than 0%, your value will be slightly lower than 340 m/s.

The presence of other gases: The speed of sound is slightly different in different gases. So, if you measure the speed of sound in a gas other than air, your value will be different from 340 m/s.

The shape of the object: The speed of sound is slightly different in different shapes of objects. So, if you measure the speed of sound in an object that is not a sphere, your value will be slightly different from 340 m/s.

In addition to these factors, there are also some experimental errors that can contribute to a difference between the actual value and the accepted value. These errors can be caused by things like inaccurate measurements of the distance or the time, or by small variations in the experimental setup.

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Which of the following situations violates the second law of
thermodynamics?
OA. A heat pump absorbs 100 J of heat from a cool reservoir and
releases 80 J of heat to a hot reservoir.
B. A heat engine absorbs 100 J of heat from a hot reservoir and
releases 70 J of heat to a cool reservoir.
C. A heat pump absorbs 100 J of heat from a cool reservoir and
releases 120 J of heat to a hot reservoir.
D. A heat engine absorbs 100 J of heat from a hot reservoir and
releases 20 J of heat to a cool reservoir.

Answers

C. A heat pump absorbs 100 J of heat from a cool reservoir and releases 120 J of heat to a hot reservoir.

What would violate the second law of thermodynamics?

In order to operate, a heat engine must reject some of the heat it receives from the high-temperature source to a low-temperature sink.

A heat engine that violates the second law converts 100 percent of this heat to work. This is physically impossible. This heat engine violates the second law of thermodynamics.

The second law can also be stated as no heat engine can have a thermal efficiency of 100 percent.

The thermal efficiency of a heat engine is defined as the ratio of the work output to the heat input:

Clearly, if the thermal efficiency of a heat engine is 100 percent,

Qin=Wout

If the second law precludes a heat engine from having a thermal efficiency of 100 percent. A heat engine is a device that converts a portion of the heat supplied to it from a high-temperature source into work. The remaining heat is rejected to a low-temperature sink.

Therefore:

A heat pump absorbs 100 J of heat from a cool reservoir and releases 120 J of heat to a hot reservoir.

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A ball is thrown straight up from the ground level, with an initial velocity of 34.3 m/s.34.3 m/s. How high is the ball thrown

Answers

The maximum height attained by the ball is 60 m.

What is the maximum height?

We know that the maximum height can be obtained from the equation;

v^2 = u^2 - 2gh

v =  final velocity

u = initial velocity

g = acceleration due to gravity

h = maximum height

Since the final velocity is 0 m/s at maximum height then;

u^2 = 2gh

h = u^2/2g

h = (34.3)^2/2 * 9.8

h = 60 m

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A weeping willow tree has hard stem from which branches and leaves grow.Its roots griw long.What function of the stem and roit do the sentences describe?​

Answers

Answer:

The weeping willow is a gentle, graceful tree, but willow tree roots are very shallow and invasive. This means it's not the best backyard tree option for many

Explanation:

can someone answer this pls

Answers

Answer:

See below

Explanation:

The vertical force in the R cable must equal the vertical force of the weight (since there is no vertical force in the L cable)

f sin30 = 150     then f-right = 300 N    = L tension

The horizontal forces in the L and R cables must match

Horizontal   :   f-right = f-left      =   300 cos 30 = 259.8 N  = L tension

Need help in knowing what energy it’s using

Answers

Answer:

8:P.E,9:gaining K.E,10:P.E,11:gaining K.E.

Explanation:

it gained potential energy at 8 because it was at its maximum height,and since potential energy is the energy that u posses due to ur height,thats the energy it possesed on the spot 8.as you can see on spot 9 its moving down so as its moving down,it gains kinetic energy,since its an energy possesed by a body due to its motion/movement,thats what it gained at spot 9, it gsained kineti energy because of its movement.and at 10 agian it would gain potential energy ecause of height and on point 11 as its heading upwards it gains kinetic energy because of movement.

At a particular instant, a hot air balloon is 100 m in the air and descending at a constant speed of 2.0 m/s. at this exact instant, a girl throws a ball horizontally, relative to herself, with an initial speed of 20 m/s. when she lands, where will she find the ball? ignore air resistance.

Answers

Answer:

86.4 m  horizontal from landing spot

Explanation:

Find out how long before the ball hits the ground

 vertical speed  of ball = -2  m/s     gravity = - 9.81 m/s^2

find time to hit ground from 100 m  

          ( height will be zero when it hits the ground)

0 =  100  - 2 t  - 1/2 ( 9.81) t^2

        use Quadratic Formula to find t = 4.32 seconds

              horizontal speed of ball = 20 m/s  

in 4.32 seconds it will travel horizontally   20  m/s * 4.32 s = 86.4 m

A tank containing water has walls 2.50 cm thick made of glass of refractive index 1.550. Light from the outside air strikes the glass at a 41.3o angle with the normal to the glass. Find the angle the light makes with the normal in the water.

Answers

The normal in the water is 29.8°

Let

[tex]n_i=[/tex] the index of refraction for the material with incident light,

 [tex]n _r[/tex] = the index of refraction for the material with refracted light,

 [tex]\theta_i=[/tex] the angle of incidence

[tex]\theta_r[/tex] = the angle of refraction.

Applying Snell's law

[tex]n_isin\theta_i=n_rsin\theta_r[/tex]

Given

[tex]n_a=1, n_g=1.550, n_m=1.329n[/tex]

a)

From air to glass

[tex]n_a sin\theta_1[/tex][tex]=n_gsin\theta_2[/tex]

​[tex]1\\sin *41.3 = 1.550 *sin\theta_2[/tex]

A normal from glass to water

[tex]n_g sin\theta_2 =n_m sin \theta_3 \\1.550\cdot\sin25.2\degree=1.329\cdot\sin\theta_3\\1.550*sin25.2=1.329*sin\theta_3 \\\theta_3=\arcsin({1.550\cdot \sin25.2\degree \over 1.329})\\\approx29.8\theta_3 =arc sin( 1.3291*550*sin25) ≈ 29.8[/tex]

Hence the normal in the water is 29.8°

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An electron is released from rest in a uniform electric field and accelerates to the north at a rate of 201 m/s2 . What is the direction of the electric field

Answers

The force on a charge in an electric field is  E = 1*10^-9  N/C.

         F = QE

and according to newton's  second law, the acceleration the charge will undergo is :

      a = F / m

Putting these two equations together we get

     E = m/q

For an electron with mass m= 9.11*10^-31 kg and charge  Q= 1.60*10^-19 C.

E = 9.11*10^-31 kg / 1.60*10^-19 C

E = 1*10^-9  N/C.

Electric discipline, electric-powered assets associated with each point in space when the price is present in any form. The magnitude and direction of the electrical subject are expressed with the aid of the value of E, called electric area power or electric powered discipline intensity or certainly the electrical area.

An electric-powered discipline is a place of the area around an electrically charged particle or objects wherein an electric charge might feel pressure. An electric-powered field is a vector amount and can be visualized as arrows going towards or far from expenses.

Examples of electric fields consist of the field produced in the dielectric of a parallel-plate capacitor (which creates an electrostatic discipline) and the electromagnetic wave produced by a radio broadcast monopole antenna (which creates a time-various area)

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J.J. Thomson discovered the electron by noticing that: A. molecules with the same atoms exhibited the same chemical properties. B. a beam of particles could be influenced by an electric or magnetic force. C. chemical compounds contained various combinations of at least two atoms. D. some particles in a beam were deflected when passed through a sheet of gold foil.​

Answers

J.J. Thomson discovered the electron by noticing that a beam of particles could be influenced by an electric or magnetic force.. That is option B.

What is an electron?

An electron can be defined as the part of an atom that is negatively charged and is found revolving round the nucleus of an atom.

J.J. Thomson was the scientist that discovered electrons through subjecting two oppositely-charged electric plates around the cathode ray.

He noticed that the particles where deflected by both the magnetic and electric fields.

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Which term below describes the amount of force exerted on a given area?
O A. Density
OB. Heat
OC. Temperature
OD. Pressure

Answers

The term above which describes the amount of force exerted on a given area is pressure

However, pressure is derived quantity.

What are derived quantities?

Derived quantities are those quantities which are obtained from the combination of fundamental quantities either by addition, division or multiplication

In conclusion, the term above which describes the amount of force exerted on a given area is pressure

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Pressure is the term which describes the amount of force exerted on a given area and is denoted as option D.

What is Pressure?

This is described as the force per unit area of a substance and the unit is mmHg or pascal.

This is why pressure was chosen as the most appropriate choice in this type of scenario.

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What adaptation of a cheetah is shown in the image?

a cheetah running

Brown color to blend in with the grass
Long and strong legs to run fast
Spots on the fur to keep warm
Strong sense of smell to catch predators

Answers

The adaptation of a cheetah is shown in the image which shows it running is its long and strong legs to run fast which is denoted as option B.

What is Adaptation?

These are the physical and behavioral features which ensures that they survive in their changing environment.

Cheetahs are known to have long and strong legs which is the reason why it runs at a very high speed.

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Answer: Option (B) is correct

Explanation: Hope it helps!

Good luck!

Imagine you want to create a model of Solar system (and beyond) with the Sun

represented by a beach ball of diameter 60 cm = 0.60 m. (i.e. of radius 30 cm = 0.30m). On that same scale:

What is the diameter of the Milky Way?

And the diameter or Radius of Earth

Answers

Using the scale model of the Sun given;

The diameter of the Milky Way = 4.28 × 10¹¹ mThe diameter of the Earth = 5.44 × 10⁻³ m

What is the diameter of the Milky Way?

The diameter of the Milky Way is about 1 × 10¹⁸ km.

The diameter of the Sun is about 1.4 × 10⁶ km

The diameter of the Earth is about 1.27 × 10⁴ km.

Using the scale model of the Sun given, the diameter of the Milky Way = (1 × 10¹⁸ km/1.4 × 10⁶ km) × 0.6 m

The diameter of the Milky Way = 4.28 × 10¹¹ m

Using the scale model of the Sun given, the diameter of the Milky Way = (1.27 × 10⁴ km/1.4 × 10⁶ km) × 0.6 m

The diameter of the Earth = 5.44 × 10⁻³ m

In conclusion, the diameter of the Milky Way is far bigger than the Sun while the diameter of the Sun is about 5400 times bigger than the Earth.

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In order to relieve excessive pump pressure in an engine's internal oil system, most engines are equipped with a

Answers

Answer:

A-Oil pressure relief valve.

which two factors decrease as the kinetic energy of the particles in an object decrease

Answers

The particle temperature and the valency of the atom in the particles are the two parameters that decrease with the kinetic energy of the particles in an item.

What is temperature?

Temperature directs to the hotness or coldness of a body. In clear terms, it is the method of finding the kinetic energy of particles within an entity. Faster the motion of particles more the temperature.

Because an item possesses kinetic energy when it is moving, anything that prevents that motion will reduce the kinetic energy of the object.

A valence electron is an electron in the outermost shell associated with an atom that can experience the innovation of a chemical bond if the outer shell is not closed. Both atoms contribute one valence electron to create a shared pair.

More the valence electron more the motion of atoms results in more kinetic energy,

Hence the two factors decrease as the kinetic energy of the particles in an object will be the particle temperature and the valency of the atom in the particles.

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At what distance is the electrostatic force between two protons equal to the weight of one?.

Answers

0.118 m is the distance between the two protons.

Mass of proton = 1.6726 × 10⁻²⁷ kg

Weight of proton= 1.6726 × 10⁻²⁷ x 9.81 N

                            = 1.6408 × 10⁻²⁶ N

Charge of proton = 1.602 × 10⁻²⁹ C

The force between two protons = kq²/r²     where, K is a proportionality    

                                                            constant, q is a charge of proton and  

                                                         r is the distance between two protons.          

                                                       = 9 × 10⁹ × (1.602×10⁻¹⁹)²/r²      

To calculate distance :

  Weight of proton= Force between protons

 ⇒   1.6408 × 10⁻²⁶ N = 9 × 10⁹ × (1.602×10⁻¹⁹)²/r²

 ⇒    r = 0.118m

Therefore, 0.118 m is the distance between the two protons.

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A source generates 40 waves per sec. if the wavelength is 8 cm. calculate the time waves takes to reach a wall 120m from the source?​

Answers

Answer:

37.5 Seconds

Explanation:
Speed = frequency * Wavelength

We can find the Frequency by the information given, Frequency = waves per second .

40 Waves per second, = 40 Hz

Wavelength = 8cm
Cm = M
8cm/100 = 0.08m

Speed = 40 Hz * 0.08m
Speed = 3.2m/s

Speed = Distance / time taken
Time = Distance / Speed

Time = 120 / 3.2

Time = 37.5 seconds

Radioactive fuel rods from power plants emit what kind of energy? A. mechanical B. nuclear C. thermal ​

Answers

Answer:

B. Nuclear Energy

From your results on page 29, decide whether you are able to demonstrate that the masses of the 4 different baskets differ meaningfully. That is, do the baskets' masses differ by more than the range of measurement error that was obtained by repeatedly measuring the mass of one basket?

Answers

Yes, it was demonstrated that the masses of the 4 different baskets differ meaningfully.

If we compare the two ranges, the differences are significant because the error range for the same basket was less than the differences between different baskets.

The Error range is a measurement of the degree of uncertainty attached to a number and is defined as the difference between the greatest and lowest error values.

So, Yes the baskets masses differ by more than the range of measurement error that was obtained by repeatedly measuring the mass of one basket.

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A 60-kg skier starts from rest from the top of a 50-m high slope. If the work done by friction is -10.0 kJ, what is the speed of the skier on reaching the bottom of the slope

Answers

The speed of the skier on reaching the bottom of the slope is 25.43 m/s.

Kinetic energy of the skier on reaching the bottom of the slope

Kinetic energy on reach the bottom = P.E - 10 kJ

Kinetic energy on reach the bottom = (60)(9.8)(50) - 10 kJ

Kinetic energy on reach the bottom = 19.4 kJ = 19,400 J

Speed of the skier on reaching the bottom of the slope

K.E  = ¹/₂mv²

2K.E = mv²

v² = 2K.E/m

v² = (2 x 19,400)/(60)

v² = 646.667

v = √646.667

v = 25.43 m/s.

Thus, the speed of the skier on reaching the bottom of the slope is 25.43 m/s.

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Zoe has 25 grams of water (c = 4.186 joules over grams times degrees celsius) at 10°c, which she mixes with 12 grams of water at 30°c. assume that no heat is lost to the surroundings. what is the final temperature of the two liquids? the answer is expressed to the nearest whole number. –47°c –8°c 3°c 16°c

Answers

Howdy,

We use the expression Q = mC(T2-T1). We caclulate as follows:

Q absorbed = Q released

m1 C (T-T1) = -m2 C (T-T1)

C can be cancelled since they are the same substance.

m1 (T-T1) = -m2 (T-T1)

25 (T-10) = -12 (T-30)

T = 16.49 degrees Celsius

The final temperature of the two liquids is 16.49 degrees Celsius.

What is  thermal energy?

The energy present in a system that determines its temperature is referred to as thermal energy. Thermal energy flows as heat. Thermodynamics is a whole field of physics that studies how heat is transmitted across various systems and how work is performed in the process.

We use the expression Q = mC(T2-T1). We caclulate as follows:

Q absorbed = Q released

m1 C (T-T1) = -m2 C (T-T1)

C can be cancelled since they are the same substance.

m1 (T-T1) = -m2 (T-T1)

25 (T-10) = -12 (T-30)

T = 16.49 degrees Celsius

The final temperature of the two liquids is 16.49 degrees Celsius.

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Summarize the differences between solids, liquids, and gases in terms of particle motion, shape, and compressibility.

Answers

Solids have a distinct volume and form. Although they have a specific capacity, liquids adopt the form of a container. Gases lack a distinct volume or form.

What is gas?

Gas is a sample of matter that adopts the shape of the container in which it is housed and develops a uniform density inside the container.

a)Particle motion

Liquid molecules are more energetic than solid molecules. Further heating will cause the molecules to move so quickly that they won't stick together at all. The gas molecules have the highest energy content.

b)Shapes

Solids are discrete in their shape and volume. Although they take on the shape of the container, liquids have a specific volume. The form and volume of gases are ambiguous.

c)Compressibility

The solid or liquid's constituent atoms, ions, or molecules are in close proximity to one another.

The greater compressible nature of gases compared to liquids or solids is explained by the kinetic-molecular hypothesis.

Hence solids, liquids, and gases differentiate in terms of particle motion, shape, and compressibility.

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Answer:

In a solid, atoms vibrate or wiggle, but are locked in place. Solids have a rigid shape, and are hard to compress. In a liquid, atoms have some freedom to move. Liquids take the shape of their container, and are hard to compress. In a gas, atoms move freely. Gases have no definite shape, and are easy to compress.

Explanation:

PLEASE HELP!!!!

What is intelligence?

the emotional abilities of an individual to learn from experience, and to cope effectively with the demands of daily living

the ability to score well on standardized tests,

the cognitive abilities of an individual to learn from experience to reason well, and to cope effectively with the demands of daily living,

how quickly an individual can reduce or eliminate stress

Answers

Answer:

the cognitive abilities of an individual to learn from experience to reason well, and to cope effectively with the demands of daily living

Explanation:

Yes that can be understood by a simple example

Suppose two people are in exam

A difficult and logical question cameThe person can use his cognitive abilities faster can solve that

[tex]\large\longrightarrow [/tex] Intelligence is the cognitive abilities of an individual to learn from experience to reason well, and to cope effectively with the demands of daily living.

The comet-hunting astronomer who made a list of over 100 nebulae and galaxies that could be mistaken for comets was Group of answer choices

Answers

An Astronomer who made a list of 100 nebulae and galaxies that could

be mistaken for comets was Charles Messer's.

Charles Messier's was a very famous scientist in the field of Astronomy.

His research in appearance of Great comet filled spark to his passion

 of Astronomy. On January 21, 1759 he put his thought of wrong

 calculation of Delisle's and he described a faint glow resembling comet

 had been seen earlier. Then after, he discovered great comet near

 sword of Orion.

  There are various tales of Charles Messiers which put him forward

  towards his love of Astronomy.

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1. You released a pendulum of mass 1kg from a height of 0.05m
b. If the pendulum loses 18% of the initial energy by the time it reaches the bottom, how fast is it going when it reaches the bottom?
c. If the pendulum loses another 7% of its remaining energy by the time it reaches the other side, how high up does it go?
d. After a few minutes the pendulum is no longer swinging at all, explain why this happens in terms of energy?​

Answers

a. The speed of the pendulum when it reaches the bottom is 0.9 m/s.

b. The height reached by the pendulum is 0.038 m.

c. When the pendulum no longer swing at all, all the kinetic energy of the pendulum has been used to overcome frictional force.

Kinetic energy of the pendulum when it reaches bottom

K.E = 100%P.E - 18%P.E

where;

P.E is potential; energy

K.E(bottom) = 0.82P.E

K.E(bottom) = 0.82(mgh)

K.E(bottom) = 0.82(1 x 9.8 x 0.05) = 0.402 J

Speed of the pendulum

K.E = ¹/₂mv²

2K.E = mv²

v² = (2K.E)/m

v² = (2 x 0.402)/1

v² = 0.804

v = √0.804

v = 0.9 m/s

Final potential energy

P.E = 100%K.E - 7%K.E

P.E = 93%K.E

P.E = 0.93(0.402 J)

P.E = 0.374 J

Height reached by the pendulum

P.E = mgh

h = P.E/mg

h = (0.374)/(1 x 9.8)

h = 0.038 m

when the pendulum stops

When the pendulum no longer swing at all, all the kinetic energy of the pendulum has been used to overcome frictional force.

Thus, the speed of the pendulum when it reaches the bottom is 0.9 m/s.

The height reached by the pendulum is 0.038 m.

When the pendulum no longer swing at all, all the kinetic energy of the pendulum has been used to overcome frictional force.

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when a car hits a hole in the road, the spring shown in the picture compresses by 20 mm.
the spring constant = 90kN/m
calculate the energy stored in the spring by this compression

Answers

The energy that is stored in the spring is 0.018 J.

What is Hooke's law?

Hooke's law states that as long as the elastic limit is not exceeded, the extension is directly proportional to the load.

Now we have the following;

The compression =  20 mm or 0.02 m

The spring constant = 90kN/m

Energy stored in the spring = 1/2Ke^2

= 1/2 *  90kN/m * (0.02 m)

= 0.018 J

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April is moving into a new apartment. She is moving a box of books that has a mass of 30 kg.

a. What is the weight of the box? (2 points)

b. What is the normal force acting on the box when it sits on the floor? Explain how you found the answer. (2 points)

c. If she pushes on the box with a force of 100 N and there is no friction, what is the acceleration of the box? (2 points)

d. If the coefficient of static friction between the box and the floor is 0.3, what is the maximum force of static friction acting on the box? (2 points)

e. How hard must she push on the box to get it to slide? (2 points)

f. If she pushes on the box with a force of 100 N, and the coefficient of kinetic friction is 0.25, what is the net force on the box in the x-direction? (2 points)

g. Based on your answer to part (f), what is the acceleration of the box? (2 points)

Answers

The weight of the box is 300 newton whereas the acceleration is 3.3 m/s2.

What is the weight of the box?

The weight of the box is 300 newton because weight is a force which move towards the center of the earth due to gravity and we know that gravity is 10 m/s2.

What is the acceleration of the box?

The box is moving with 3.3 m/s2 if we put in the formula below.

acceleration= force/mass

A = 100/30

A = 3.3 m/s2

So we can conclude that the weight of the box is 300 newton whereas the acceleration is 3.3 m/s2.

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