If you want a particular circuit to carry a large current, it is better to use a large-diameter wire. The reason for this lies in the relationship between the wire's diameter, resistance, and current-carrying capacity.
A wire's resistance is inversely proportional to its cross-sectional area, which increases with the diameter of the wire. A larger diameter wire has a lower resistance, allowing it to carry more current without significant power loss due to heat generation. This is because the electrons within the wire have more pathways to flow through, leading to a reduction in collisions and subsequent heat production.
In addition, a large-diameter wire has a higher current-carrying capacity, meaning it can safely conduct more current without reaching its maximum temperature or damaging its insulation. This is crucial in preventing circuit failures, overheating, or fire hazards in electrical systems.
In summary, using a large-diameter wire is beneficial when designing a circuit to carry large currents, as it reduces resistance and increases current-carrying capacity, ensuring efficient and safe operation.
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The velocity of a train relative to the ground is represented by the distance from A to B in the diagram. The velocity of a ball thrown inside the train at an angle of 66° relative to the train is represented by the distance from B to C. What is the distance from A to C (the velocity of the ball relative to the ground), correct to two decimal places? Assume that all the points in the diagram lie in the same plane. A. 21. 14 m/s B. 18. 03 m/s C. 17. 20 m/s D. 15. 00 m/s.
We find that the distance from A to C, representing the velocity of the ball relative to the ground, is approximately 17.20 m/s (option C).
The distance from A to C, which represents the velocity of the ball relative to the ground, can be determined using vector addition.
Given that the velocity of the train relative to the ground is represented by the distance from A to B in the diagram, and the velocity of the ball thrown inside the train at an angle of 66° relative to the train is represented by the distance from B to C, we need to find the resultant velocity from A to C.
To find the resultant velocity, we can use the concept of vector addition. We can break down the velocity of the ball into its horizontal and vertical components.
Let's assume the velocity of the train relative to the ground is v_train and the velocity of the ball relative to the train is v_ball. We can use trigonometry to find the horizontal and vertical components of v_ball.
The horizontal component, v_ball_x, can be calculated as v_ball * cos(66°), and the vertical component, v_ball_y, can be calculated as v_ball * sin(66°).
Now, we can add the horizontal components and vertical components separately.
The horizontal component of the resultant velocity, v_resultant_x, is the sum of v_train and v_ball_x. Similarly, the vertical component of the resultant velocity, v_resultant_y, is the sum of v_ball_y.
Finally, we can find the magnitude of the resultant velocity, v_resultant, using the Pythagorean theorem: v_resultant = sqrt(v_resultant_x^2 + v_resultant_y^2).
Calculating the values, we find that the distance from A to C, representing the velocity of the ball relative to the ground, is approximately 17.20 m/s (option C).
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A car drives down a road in such a way that its velocity (in m/s) at time t (seconds) is v(t)=3t 1/2
+1 Then the car's average velocity (in m/s ) between t=3 and t=9 is equal to
To find the average velocity of the car between t = 3 and t = 9, we need to calculate the total displacement of the car during that time interval and divide it by the duration.
Given:
Velocity function: v(t) = 3t^(1/2) + 1To calculate the displacement, we integrate the velocity function over the interval [3, 9]:
Displacement = ∫[3,9] (3t^(1/2) + 1) dtIntegrating the velocity function, we get:
Displacement = [2t^(3/2) + t] evaluated from 3 to 9
= (2(9)^(3/2) + 9) - (2(3)^(3/2) + 3)= (2(27) + 9) - (2(3) + 3)= (54 + 9) - (6 + 3) = 63 - 9= 54 metersThe displacement of the car between t = 3 and t = 9 is 54 meters.
To calculate the average velocity, we divide the displacement by the duration:
Average Velocity = Displacement / Duration
= 54 meters / (9 seconds - 3 seconds)= 54 meters / 6 seconds= 9 meters per secondTherefore, the average velocity of the car between t = 3 and t = 9 is 9 m/s.
About VelocityVelocity is a vector quantity that indicates how fast an object is moving. The magnitude of this vector is called speed and is expressed in meters per second.
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During which step of the scientific method does a scientist determine
whether the hypothesis was supported?
A. Perform the experiment
B. Collect data
C. Draw conclusions
D. Design an experiment
SUBMN
PREVIOUS
Answer:
A
in performing the experiment the hypothesis is proved wrong or correct prediction , meaning of prediction is guessing,
hypothesis the second stage of scientific method , scientist predict or guess the answer to the problem ,
Experiment the third stage of scientific method
scientist examine the ways
"Perform the experiment" is the step of the scientific method where a scientist determines whether the hypothesis was supported.
What step of the scientific method is used to prove if the hypothesis is accepted or rejected?In the scientific method, experiments (often with controls and variables) are devised to test hypotheses. In the scientific method, analysis of the results of an experiment will lead to the hypothesis being accepted or rejected.
How do scientists determine whether a hypothesis is correct?The basic idea of a hypothesis is that there is no predetermined outcome. For a solution to be termed a scientific hypothesis, it has to be an idea that can be supported or refuted through carefully crafted experimentation or observation.
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A scientific model can be used to
Scientific models area unit accustomed make a case for and predict the behaviour of real objects or systems.
A system of ideas, events, or processes is described physically, mathematically, conceptually, or conceptually in an exceedingly scientific model. By victimisation their scientific experience to produce explanations that create it doable to forecast the patterns, scientists work to recognise and comprehend the patterns that exist in the environment.
Scientific model illustrations include:
a simulation of the sun, moon, and earth's motions (which you participated in last year) a way for statement eclipses. The weather will be foretold victimisation models that describe weather events.
Models will assist you in mentally imagining one thing that's difficult to ascertain or comprehend. Models will aid in scientific prediction, understanding of processes, and communication of ideas.
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How do you find average velocity during free fall?
d. 'g' vanishes at centre of
6) A prism of 6° is made of material of refractive index What is the
deviation caused by it
d. 40
c.120
a. 60
b.8°
7) An object is placed 1cm from lens having magnification 5. Then its foc
length is
a. 0.8 cm b. 1.2 cm c. -1.2 cm d. -0.8cm
Answer:
a. 0.8 cm
Explanation:
The distance of the object from the lens, u = 1 cm
The magnification of the lens, m = 5
The focus of a lens formula is given as follows;
\(f = \dfrac{1}{\dfrac{1}{v} + \dfrac{1}{v} }\)
The magnification of the lens, m = -v/u
Where;
v = The distance of the image from the lens
Therefore, we have;
v = m × u
∴ v = 5 × 1 cm = 5 cm (on the other side of the lens)
From which we get;
\(f = \dfrac{1}{\dfrac{1}{1} + \dfrac{1}{5} } = \dfrac{5}{6} \approx 0.8\)
The focal length ≈ 0.8 cm
The efficiency of lever is always less than 100%why
Answer:
The output work is always less than the input work because some of the input work is used to overcome friction. Therefore, the efficiency is always less than 100 percent.
If 230 W of power is produced in 10 seconds, how much work is done?
Answer:
Hello There!!
Explanation:
Use this equation:Work done = Force x Distance.
Work done=230W×10s
Work done=2300J
hope this helps,have a great day!!
~Pinky~
\(\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}\)
Work done = force × distance
work done = 230W×10s
work done = 2300J
Thanks hope it helps.What temperature has the Big Bang cooled to by now? A) about 3,000 K B) about 300 K C) 5,800 K D) just over 2.7 K E) 1.4 K
The temperature the Big Bang has cooled to by now is just over 2.7 K. T
The correct answer is option D.
The universe has cooled significantly since its beginning, and the current temperature is approximately 2.7 Kelvin, which is a result of the cosmic microwave background radiation.
The universe came into being around 13.8 billion years ago with the Big Bang. At that time, a hot, dense fog of radiation and elementary particles wafted in space, which was rapidly expanding. The density and temperature decreased just as quickly, and the light particles (photons) lost increasingly more energy. After about 380,000 years, this plasma had cooled down to 3000 Kelvin. It was then possible for stable atoms to be created. And the photons had a free path and spread out into space. The cosmos became transparent so to speak.
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Aluminum reacts vigorously and exothermically
with copper chloride which of the following is the balanced equation for this reaction
Aluminum reacts vigorously and exothermically with copper chloride, the balanced chemical reaction becomes:
2Al + 3CuCl₂ → 2AlCl₃ + 3Cu
Why Aluminum reacts vigorously with copper chloride?Considering that aluminium is a more active metal in the electrochemical series of metals than copper, it displaces copper from the bond. The result is the emission of gaseous hydrogen and red metallic copper. This reaction is quite intense and results in the production of heat.
The reaction between aluminium and copper(II) chloride is highly vigorous, as heat is generated, the reaction mixture becomes very hot, the blue hue owing to the Cu(II) ions fades, the aluminium foil disintegrates, a reddish brown solid emerges, and gas bubbles are released.
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Room temperature is about 77°F. Which temperature is an equivalent temperature?
Answer:25
Explanation:
Formula(77°F − 32) × 5/9 = 25°C
Answer: The answer is C. 298 K
Explanation:
An object is placed to the left of a converging lens. Which of the following statements are true, and which are false? a) The image is always to the right of the lens. b) The image can be upright or inverted
The statement "The image is always to the right of the lens" is false.
However, the statement "The image can be upright or inverted" is true.
When an object is placed to the left of a converging lens, the image can be formed in different positions depending on the distance of the object from the lens and the focal length of the lens.
If the object is located at a distance greater than twice the focal length of the lens, the image will be real, inverted and located to the right of the lens.
If the object is located between the focal length and twice the focal length of the lens, the image will still be real and inverted but located on the same side of the lens as the object.
If the object is located at a distance less than the focal length of the lens, the image will be virtual, upright and located on the same side of the lens as the object.
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Types of Spectra 5) Stars like our Sun have low-density, gaseous atmospheres surrounding their hot, dense cores. If you were looking at the spectra of light coming from the Sun (or any star), which of the three types of spectrum would be observed? Explain your reasoning.
The spectrum observed from the Sun (or any star) would exhibit an absorption spectrum. This is because the outer gaseous atmosphere of the star absorbs specific wavelengths of light, resulting in dark absorption lines in the spectrum.
In the cooler, lower-density outer atmosphere, where white light from the star travels, some atoms or molecules in the atmosphere absorb photons with particular energy. In the spectrum, these absorptions show up as black lines at specific wavelengths. The specific set of absorption lines that each element or molecule generates results in a distinctive pattern that can be used to identify the elements that are present in the star's atmosphere.
The absorption spectrum offers insightful data on the chemical make-up and physical characteristics of the star. Astronomers can ascertain the elements present, their abundances, and other characteristics like the temperature, pressure, and velocity of the star's atmosphere by examining the absorption lines.
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Question 8 (Electrical power and reticulation) Explain why voltage is stepped up before being transmitted from a power station through overhead power lines to the consumer. [3] TOTAL MARKS = 70
The voltage is stepped up before being transmitted from a power station through overhead power lines to the consumer in order to reduce power loss and make the overhead power lines lighter, less expensive to build.
Here is the explanation why voltage is stepped up before being transmitted from a power station through overhead power lines to the consumer:
Power loss is inversely proportional to the square of the current. This means that if we can reduce the current, we can also reduce the power loss.
The current is inversely proportional to the voltage. This means that if we increase the voltage, we can reduce the current.
Therefore, by increasing the voltage, we can reduce the power loss.
In addition, the higher the voltage, the smaller the cross-sectional area of the conductors needed to transmit the same amount of power. This makes the overhead power lines lighter and less expensive to build.
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calculate mass of the apple
Answer:
m = 0.20g
Explanation:
m = GPE / g x h
m = 6 / 9.81 x 3
Step 3: Create your graphs. a) Decide how many graphs you will need to show the energy transformation. b) You should have at least 3 graphs, so that the steps of the transformation will be clear. c) Each graph should be clearly labeled. d) Careful use of color on your graphs will make them easy to read and understand. It's for Edge. Project: Energy Transformation Poster. Thank you!
importance of measurement in our dairy life
Answer:
in order to know the length of something
to plan ahead using reps and checks, choose the minimum space cushion needed to maintain following distance traveling at 25 mph (for a cargo van)?
The kinematics allows finding the answer for the shortest distance that must exist between the two vehicles so that the collision does not occur during the reaction time is 13.75 ft.
Kinematics studies the movement of bodies, establishes relationships between the position, speed and acceleration of bodies.
the reaction time. The human being needs some time to process the information that comes to him and you take some action, this time is defined as the reaction time between seeing an image and taking some action in response, in the case of a driver in good condition this reaction time is 0.75 s, in the case of people with alcohol in the blood it can go up to 2.0 s.
The safe distance is the distance between the two vehicles so that when the front vehicle applies the brakes, during the reaction time the rear vehicle does not collide with the front vehicle.
Let's start by reducing the magnitudes
v₀ = 25 m / h (\(\frac{5280 ft}{1 mi}\)) ( \(\frac{1 h}{3600s}\))
v₀ = 36.66 ft / s
We look for the braking acceleration for the reaction time of a normal driver (t = 0.75 s)
v = v₀ - a t
final velocity is zero
0 = v₀ - a t
a = \(\frac{v_o^2}{t}\)
a = \(\frac{36.666}{0.75}\)
a = 48.888 ft / s²
we look for the distance traveled, for the final velocity zero
\(v = v_o^2 - 2 a x\)
0 = \(v_o^2 - 2ax\)
x = \(\frac{v_o^2}{2a}\)
x = \(\frac{36.66^2}{2 \ 48.88}\)
x = 13.75 ft
reaction time
Usings kinematic we can find the shortest distance that must exist between the two vehicles so that the collision does not occur during the is 13.75 ft.
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A certain lever system is only 30% efficient. The following changes are considered:
change 1: Use a stiffer lever to reduce energy lost bending the lever.
change 2: Make a longer lever that will require less force.
Which change would make the lever more efficient?
Change 1 would make the lever more efficient because less energy would be lost.
Change 2 would make the lever more efficient because this would make it easier to lift.
Change 1 would make the lever more efficient because this would make it easier to lift.
Change 2 would make the lever more efficient because less energy would be lost.
Answer: Change 2 would make the lever more efficient because this would make it easier to lift.
Explanation:
The considered change is: Make a longer lever that will require less force because it would make the lever more efficient because this would make it easier to lift.
What is lever?A beam is pivoted at a fixed fulcrum, to form a simple machine known as a lever. A body that can rotate about a point on itself is called a lever.
The lever is classified into three types based on where the fulcrum, weight, and effort are located. Additionally, leverage is a systemic mechanical advantage.
One of the six simple devices that Renaissance scientists identified. Leverage is the ability to increase an input force into a bigger output force through the use of a lever. The mechanical advantage of the lever is determined by the ratio of output force to input force.
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An element that is unable to create a ion and therefore always has a charge of 0 is most likely a member of a family called
Explanation:
'noble gases' which are also known as group VIII
a ball is being twirled in a circle at the end of a string. the string provides the centripetal force needed to keep the ball moving in the circle at a constant speed. does the force exerted by the string on the ball do work on the ball in this situation? explain.
The force exerted by the string on the ball does not do work on the ball if a ball is twirled in a circle at the end of a string.
W = F d cos θ
F = Force
d = Displacement
θ = Angle between applied force and displacement
If the string provides centripetal force, the force is acting towards the end of string that is constant. The direction is always tangential to the circular motion.
θ = 90°
W = 0
The work done is maximum when the force vector and displacement act in the same direction. Because if they both act in same direction, θ = 0° and W = F d cos 0° = F * d
Therefore, the force exerted by the string on the ball does not do work on the ball in this situation.
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A ball that rolls on the ground is initially propelled with a speed of 45 km / h and after 10 seconds it stops. Assuming you lost speed constantly, then: a) Calculate the acceleration b) Calculate the distance traveled.
Answer:
a) -1.25 m/s²
b) 62.5 m
Explanation:
Convert km/h to m/s:
45 km/h × (1000 m/km) × (1 h / 3600 s) = 12.5 m/s
a = Δv / Δt
a = (0 m/s − 12.5 m/s) / 10 s
a = -1.25 m/s²
Δx = ½ (v + v₀) t
Δx = ½ (0 m/s + 12.5 m/s) (10 s)
Δx = 62.5 m
Geothermal energy is an alternative energy source, although it is not resourceful enough to replace more than a minor amount of the Earth’s energy needs. Why is this?
Answer: However, it is not resourceful enough to replace more than a minor amount of the Earth's energy needs. Drilling through the Earth to reach areas hot enough to create steam is possible, but very expensive and difficult. .
Explanation:
On a trip to the store around the block a bike rider goes 75 m toward the West and 75 m toward the North at a constant speed of 1.5 m/s.
What is the magnitude of the average velocity?
1.1 m/s
0.75 m/s
1.6 m/s
1.5 m/s
The magnitude of the average velocity = 1.5 m/s ( D )
Applying the given data:
Velocity = displacement / time
constant velocity/speed = 1.5 m/s ( i.e. velocity for each direction )
displacement = 75 m west and 75 m North
∴ Average velocity = ∑ ( velocity for each direction ) / ( number of displace )
= (1.5 + 1.5 ) / 2
= 3 / 2 = 1.5 m/s
Hence we can conclude that the magnitude of the average velocity = 1.5 m/s
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You have a telescope that consists of two converging lenses which are placed a distance apart which is approximately equal to the sum of their focal lengths. Focal length 1 is approximately 5.5cm and focal length 2 is approximately 25cm. The lens closest to the object should have a reasonably long focal length and the eyepiece lens should have a relatively short focal length to get good magnification.
a. draw a scale ray diagram for a telescope using one long and one short focal length lens.
b. Estimate how much larger your distance object appears through your telescope and then calculate the angular magnification.
b) Therefore, the object viewed through the telescope appears 0.22 times smaller than its actual size.
a) The ray diagram of the telescope using one long and one short focal length lens is shown in the figure below:
b) The formula to calculate angular magnification is given by the equation below:
Angular Magnification = (Angle subtended by the image) / (Angle subtended by the object)
Here, The distance between the two lenses,
d = f1 + f2 = 5.5 + 25 = 30.5 cm.
The magnification produced by the objective lens M1 is given by the equation below:
M1 = -f1 / d = -5.5 / 30.5 = -0.18
The magnification produced by the eyepiece lens M2 is given by the equation below:
M2 = d / f2 = 30.5 / 25 = 1.22
The total magnification is the product of the individual magnifications.
Therefore, the total magnification of the telescope is given by the equation below:
M = M1 x M2
M = -0.18 x 1.22
M = -0.22
The negative sign indicates that the image is inverted, which is common in telescopes.
The angular magnification of the telescope is given by the equation below:
Angular Magnification = (Angle subtended by the image) / (Angle subtended by the object)
Angular Magnification = (-0.22) / 1
Angular Magnification = -0.22
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A flywheel flows from 250rpm to 150rpm in 4.2 seconds. How many revolutions occur during this time
Answer:
7revolutions
Explanation:
Given parameters:
Initial revolution = 250rpm
Final revolution = 150rpm
Time = 4.2s
Unknown:
Number of revolutions that occur at this time = ?
Solution:
To solve this problem;
let us find the change in revolution = 250rpm - 150rpm = 100rpm
Convert the time to seconds;
60s makes 1 minute
4.2s will make \(\frac{4.2}{60}\) = 0.07min
So;
The number of revolutions at this time = 100rpm x 0.07min
= 7revolutions
A 55.0-kg person consumes a small order of french fries
(241.0 Cal)
and
wishes to
"work off"
the
energy by climbing a
11.0 m
stairway.
How many vertical climbs are needed to use all the
energy?
To use all the energy from consuming a small order of french fries, the person would need to climb the 11.0 m stairway approximately 17.0 times.
The energy content of the small order of french fries is given as 241.0 Cal. We can convert this value to joules since the unit of energy in the metric system is the joule (J). 1 calorie (Cal) is equal to 4.184 joules (J). To use all the energy from consuming a small order of french fries, the person would need to climb the 11.0 m stairway approximately 57 times.
Energy content of the small order of french fries:
241.0 Cal × 4.184 J/Cal = 1007.144 J
Work done to climb the stairway:
(55.0 kg) × (11.0 m) × (9.8 m/s²) = 59294 J
Number of climbs needed to use all the energy:
1007.144 J ÷ 59294 J ≈ 17.0
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Assume you have a person with a mass of 65 kg riding a skateboard down a ramp. While they are
still 4.8 m high, they are traveling at a speed of 8.0 m/s.
a) Calculate the Eg. [write here)
b) Calculate theEk [write here]
c) Calculate the Etotal. [write here]
d) If the ramp had a total height of 8.0 m, what would be their Eg, Ek, and Etotal at that height?
Answer:
a) Eg = 3,060.72 j
b) Ek = 2,080 j
c) Etotal = 5,140.72 j
d) Eg = 5,140.2 j
Ek = 0 j
Etotal = 5,140.2 j
Explanation:
The given parameters of the person riding the skateboard are;
The mass of the person, m = 65 kg
The height of the person (above ground level), h = 4.8 m
The speed at which the person is traveling, v = 8.0 m/s
a) The gravitational potential energy, Eg = m·g·h
Where;
m = The mass of the object at the given height = 65 kg
g = The acceleration due to gravity, g ≈ 9.81 m/s²
h = The height by which the object is elevated = 4.8 m
∴ Eg = 65 kg × 9.81 m/s² × 4.8 m = 3,060.72 joules
The gravitational potential energy, Eg = 3,060.72 J
b) The kinetic energy, Ek, is given as follows;
Ek = 1/2·m·v²
Where;
v = The velocity of the object = 8.0 m/s
∴ Ek = 1/2 × 65 kg × (8.0 m/s)² = 2,080 joules
The kinetic energy, Ek = 2,080 J
c) The total mechanical energy, Etotal = Eg + Ek
∴ Etotal = 3,060.72 j + 2,080 j = 5,140.72 J
The kinetic energy, Ek = 5,140.72 J
d) If the ramp had a total height of 8.0 m, we have;
At the 8.0 m height
Etotal = Eg(max), Ek = 0 j
With the given values, we get;
Eg(max) = 65 kg × 9.81 m/s² × 8 m = 5,101.2 joules = Etotal
Eg(max) = 5,101.2 j
Etotal = 5,101.2 j
Ek = 0 j
However, using only the values in the question with the assumption that all things being equal, we have;
Etotal = Constant = 5,140.72 j
Eg a the max height, 8.0 m = Eg(max) = Etotal = 5,140.2 j
Ek = 0 j
a car is traveling at 20 m/s and speeds up to 35 m/s in 5 seconds. what is the cars acceleration?
This is a Uniformly Accelerated Rectilinear Motion exercise.
We obtain the following data:
Vo = 20 m/s, Vf = 35 m/s, t = 5, a = ¿?
To calculate the acceleration, subtract the final velocity minus the initial velocity, divided by the time.
a = Vf - Vo / t
a = 35 m/s - 20 m/s / 5 s = 3 m/s².Greetings
How can you detect the hardness of water collected from different sources
Answer:
Explanation:
you can detect the hardness of water collected from different sources by using soap. Soaps can be used to check the hardness of water as it forms insoluble precipitate with hard water.
Answer:
We can detect the hardness of water taken from different sources by adding soap to it.
Explanation:
If the soap does not form micelle in the water then it will be hard water. In simple language if the soap doesnot disslove in water then it will be soft water.