The acceleration of the bucket is 11 N/kg.
To find the acceleration of the bucket, we need to use Newton's second law of motion, which states that the net force acting on an object is equal to the product of its mass and acceleration (F=ma). In this case, the only force acting on the bucket is tension, so we can set the tension equal to the force (F=165 N) and solve for the acceleration. We also need to convert the mass of the bucket to kilograms (15.0 kg).
Thus, we have:
F = Tension = 165 N
m = mass of bucket = 15.0 kg
a = acceleration (unknown)
Using Newton's second law, we have:
F = ma
165 N = (15.0 kg) * a
Solving for a, we get:
a = 165 N / 15.0 kg = 11 N/kg
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according to special relativity, one can travel at increased rates
According to special relativity, one can travel at increased rates. However, this is only possible when moving at very high speeds approaching the speed of light. When an object moves at high speeds, the time slows down, and the length of the object appears to be shortened.
These observations are known as time dilation and length contraction. Time dilation refers to the difference in the elapsed time measured by two observers, where one is stationary, and the other is moving at a constant velocity relative to each other. The faster the moving observer, the slower time appears to be for them. Length contraction, on the other hand, refers to the phenomenon where an object appears to be shorter in length when it's moving at high
This effect is more noticeable as the speed of the object approaches the speed of light. As a result, traveling at very high speeds can allow one to cover great distances in less time, which can be used for space exploration and other scientific research. However, it's worth noting that the effects of relativity are only noticeable at very high speeds, which are currently impossible to achieve with our current technology.
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Which statement accurately describes the motion of the objects in the ticker tape above?
Both objects are speeding up at a constant rate.
One object speeds up before it slows to a stop.
Both objects speed up before stopping.
One object speeds up at a constant rate until it stops.
Answer:
B
Explanation:
One object speeds up before it slows to a stop.
When reading this type of graph, we know that when the points are far apart, then the object is definitely moving quickly. Also again, we know that when the points are besides each other, then we say that the object is moving slow. When the distance that is between the points are changed, the velocity of the object subsequently changes too, and therefore, we say that the object is accelerated. When there are lots of points in one location, we will see that the object is not moving.
This then translates into that
The object(s) at the top begins to slow, eventually, it increases in its speed, going forward, it slows down again, before it finally halts. The object at the bottom on the other hand, starts fast, before slowing down.
then:
"One object speeds up before it slows to a stop "
Which one of the following quantities are considered a vector quantity?
Answer:
velocity and displacement answer
Explanation:
follow me
what gender gives birth?
A car with two passengers traveling at 15 m/s collides with a tree. One of the passengers who is not wearing a seat belt strikes the windshield head first and comes to rest in 0.03 s. The area of contact between the head and the windshield is approximately 5x10 m² and the mass of the head is 5.4 kg. The other passenger who is wearing his seat belt comes to rest in 0.50 s. The mass of this passenger is 75 kg. The area of the seat belt in contact with this passenger is about 0.12 m². Find the average force and the force per unit area exerted on the two passengers.
In the absence of friction, a force applied to a body for a given amount of time, changes the momentum of the body
The average force per unit area exerted on the passenger with no seatbelt 5,400,000 N/m²
The average force per unit area for the passenger with seat belt 18,750 N/m²
The known parameters are;
The velocity of the car, v₀ = 15 m/s
The time it takes the passenger not wearing seat belt to strike the windshield, \(t_{ns}\) = 0.03 s
Area of contact between the head and the windshield, \(A_{ns}\) = 5 × 10⁻⁴ m²
The mass of the head, \(m_{h}\) = 5.4 kg
Time taken for the passenger wearing seat belt to come to rest, \(t_s\) = 0.50 s
The mass of the passenger wearing seatbelt, \(m_s\) = 75 kg
Area of the seat belt in contact with the passenger, \(A_s\) = 0.12 m²
Required:
To find the average force per unit area exerted on the two passengers
Solution:
According to Newton's second law on motion, force is equal to the product of mass and acceleration
\(Acceleration, \overline a = \dfrac{Change \ in \ velocity}{Elapsed \ time} = \dfrac{v - v_0}{t}\)
Therefore, the acceleration, force and average force per unit area of the passenger with no seat belt;
\(Acceleration, \overline a_{ns} = \dfrac{0 - 15 \, m/s}{0.03 \, s} = 500 \, m/s^2\)
\(F_{ns}\) = \(m_{h}\) × \(\overline a_{ns}\)
Which gives;
\(F_{ns}\) = 5.4 kg × 500 m/s² = 2,700 N
Force per unit area = Force/Area
The average force per unit area, for the passenger with no seat belt is given as follows:
\(P_{ns} = \dfrac{2,700 \, N}{5 \times 10 ^{-4} \ m^2} = 5,400,000 \ N/m^2\)
The average force per unit area exerted on the passenger with no seatbelt, \(P_{ns}\) = 5,400,000 N/m²
The acceleration, force and average force per unit area of the passenger with seat belt:\(Acceleration, \overline a_{s} = \dfrac{0 - 15 \, m/s}{0.5 \, s} = 30 \, m/s^2\)
\(F_{s}\) = \(m_{b}\) × \(\overline a_{s}\)
Which gives;
\(F_{s}\) = 75 kg × 30 m/s² = 2,250 N
Force per unit area = Force/Area
The average force per unit area, for the passenger with seat belt is therefore;
\(P_{s} = \dfrac{2,250\, N}{0.12 \ m^2} = 18, 750\ N/m^2\)
The average force per unit area for the passenger with seat belt, \(P_s\) = 18,750 N/m²
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It takes Alessandra 20 minutes to walk to school every day. If she walks at a rate of 3 km/hour, how far does she walk?
A. 1km
B. 17km
C. 23km
D. 60km
You can't see anything if time stop..
Explain
You can't see anything if time would stop:
This is in fact true...if time stops then photons will also stop and they will unable to reach your eyes, so would your metabolism and cellular activity. Thus you won't be able to see anything.
Hope this helped you- have a good day bro cya)
Answer:
You can't see anything if time stop..
Explanation:
IG
A rock is thrown horizontally off a cliff with an initial velocity of 15 m/s. How high was the cliff if the rock lands 22 m from the base of the cliff?
Answer:
22 m
Explanation:
Answer:
cliff height = 10.55 m
Explanation:
Remarks
This is one of those questions that defies belief. The final vertical velocity is the same as if you just dropped the rock, which is amazing.Another amazing fact is that the horizontal speed has no acceleration. And amazing fact number three is the the vertical initial speed is 0.And finally, the time taken to go horizontally = time to go vertically.Solution
Time
So the time taken is d = r * t
Remember, this formula can only be used when there is no acceleration.
d = 22 meters
r = 15 m/s
t = ?
t = d / r
t = 22 / 15
t = 1.467
Height of the Cliff
vi = 0 (vertially)
a = 9.8 m/s^2
t = 1.467 seconds The time horizontally and vertically is the same.
d = ?
Formula
d = vi*t + 1/2 a t^2
Solution
d = 0 + 1/2 * 9.8 * 1.467^2
d = 10.55 meters.
select all the correct answers:what happens to water when it changes to icea: density increasesb: density decreasesc: mass increasesd: mass decreasese: volume increases f: volume decreases
Answer:
b: density decreases
e: volume increases
Explanation:
When the water changes to ice, there won't be a loss of water, so the mass will be the same. However the ice will occupy more space, so the volume will increase. Then, since density is the mass divided by the volume, if the volume increase and the mass stays the same, the density decreases.
So, the answers are:
b: density decreases
e: volume increases
What happens when condensation causes clouds to become very heavy?
a
evaporation
b
condensation
c
precipitation
d
accumulation
Answer:
C. precipitation
Explanation:
if clouds store too much water from evaporation, it will rain which is precipitation
A ballet dancer whose weight is 60 kg performs a move on one foot during which she
applies a pressure of 1,500,000 Pa on the ground. Is she likely to be standing with her foot
flat on the ground, or is she on tiptoe?
She is likely to have tip toed as the pressure applied is high.
What is pressure?Pressure is a force per unit area, typically measured in units of Pascal (Pa), atmospheres (atm), or pounds per square inch (psi). It is the result of the force exerted by a gas or liquid against a surface.
We have to note that the pressure that has a value of about 1,500,000 Pa is quite a large pressure and we can only have such a pressure when we have a small surface area upon which the pressure have been applied.
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Which description best explains the distortion of color at the bottom of the leaves in the image?
If the colours at the base of the leaves appear distortion, there may be a number of causes including poor lighting, the age of the leaves, a lack of nutrients, a disease or pest infestation, or even a genetic mutation in the plant.
What occurs when a rainbow's colours blend together?Dispersion is the distribution of white light throughout its entire spectrum of wavelengths. The dispersion of sunlight into a continuous range of colours causes rainbows, which are created by a combination of refraction and reflection.
What happens when light goes through a glass prism and colours from a rainbow can be seen?The prism separates the white light into its individual colors, which are red, orange, yellow, green, blue, and violet.
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What is Unit and standard unit?
Answer:
The standard quantity with which we carry out the measurement of any physical quantity of the same kind is called a unit.
the difference in surface wind speed between morning and afternoon is typically greater on a clear, sunny day than on a cloudy, overcast day.
On clear, sunny days, the difference in surface wind speed between morning and afternoon is greater than on cloudy, overcast days due to the variation in atmospheric stability between morning and afternoon.
On sunny days, the earth's surface heats up rapidly in the morning, leading to the formation of a stable radiation inversion where the air near the surface is cooler and denser than the air above.
As the day progresses, the surface continues to warm up, and the atmosphere becomes increasingly unstable due to convective mixing. This instability leads to stronger surface winds as air is forced to move from areas of high pressure to areas of low pressure.
On overcast days, the clouds act as a barrier to incoming solar radiation, which reduces the amount of heating at the earth's surface. As a result, the atmosphere is more stable, and there is less vertical mixing, leading to weaker surface winds.
The stable atmosphere also tends to trap pollutants near the surface, leading to poorer air quality in urban areas. Therefore, the difference in surface wind speed between morning and afternoon is typically greater on a clear, sunny day than on a cloudy, overcast day.
The complete question is:
Why is the difference in surface wind speed between morning and afternoon typically greater on a clear, sunny day than on a cloudy, overcast day?
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A missile has a guidance device which is sensitive to both temperature, t C, and humidity, h. The range in km over which the missile can be controlled is given by Range R = 27800-5t2-6ht-3h2 + 400t + 300h. What are the optimal atmospheric conditions for controlling the missile? (You must show the proper calculus 3 work to show optimality.) (5pts)
A missile has a guidance device which is sensitive to both temperature, t C, and humidity, h. The range in km over which the missile can be controlled is given by Range R = 27800-5t2-6ht-3h2 + 400t + 300h. the optimal temperature is 43.75°C and optimal humidity is 6.25
Range R = 27800 - 5t² - 6ht - 3h² + 400t + 300h
Where, R is the range over which the missile can be controlled. t and h are the temperature and humidity respectively.
The optimal atmospheric conditions for controlling the missile.
We need to find the optimal value of t and h that will maximize the range of missile, i.e., the optimal value of R.
To find optimal values, we need to find the partial derivative of R w.r.t both t and h and equate them to zero.
Partial derivative of R w.r.t t: ∂R/∂t= -10t -6h + 400
Partial derivative of R w.r.t h: ∂R/∂h= -6t - 6h + 300
Now, equate both to zero to get the optimal values of t and h:
∂R/∂t= 0 => -10t - 6h + 400 = 0=> 10t + 6h = 400 -----(1)
∂R/∂h= 0 => -6t - 6h + 300 = 0=> t + h = 50 ----- (2)
Multiplying equation (2) by 6 and adding it to equation (1), we get:
10t + 6h = 400...........(1)
6t + 6h = 300...........(2)
-----------------------16t = 700=> t = 43.75
Using equation (2), h = 50 - t= 50 - 43.75= 6.25
Thus, the optimal temperature is 43.75°C and optimal humidity is 6.25, i.e., the optimal atmospheric conditions for controlling the missile is 43.75°C temperature and 6.25% humidity.
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a) The speed of a motor supplied with a voltage input of 30V, assuming the system is without damping, can be expressed as: 30 = (0.02)+(0.06)w dt If the initial speed is zero and a step size of h = 0.
Using Runge-Kutta 2nd order Heun's method, the speed (w) at t = 0.8s is approximately 0.0081.
Given:
Voltage input (V) = 30V
Initial speed (w) = 0
Step size (h) = 0.4s
Time at which speed is to be determined (t) = 0.8s
We need to determine the speed (w) at t = 0.8s using Heun's method.
We have k₁ = f(t₁, W₁) = 0.02 + 0.06w₁ (using the given equation)
At t = 0 and w = 0 (initial conditions), we have:
k₁ = 0.02 + 0.06(0) = 0.02
We have k₂ = f(t₁ + h, w₁ + k₁h) = 0.02 + 0.06(w₁ + 0.02h)
So, at t = 0.4s and w = 0 (initial conditions), we have:
k₂ = 0.02 + 0.06(0.02 * 0.4) = 0.02 + 0.00048 = 0.02048
So, W₂ = w₁ + (k₁ + k₂)(h/2)
= 0 + (0.02 + 0.02048)(0.4/2)
= 0.04048(0.2)
= 0.008096
Therefore, using Runge-Kutta 2nd order Heun's method, the speed (w) at t = 0.8s is approximately 0.0081.
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The complete question is:
The speed of a motor supplied with a voltage input of 30V, assuming the system is without damping, can be expressed as 30 = (0.02)+(0.06)w dt If the initial speed is zero and a step size of h = 0.4 s, determine the speed w at t = 0.8 s by using the Runge-Kutta 2nd order Heun's method. Heun's method: Wi+1=W₁ = w₁ + (-/-^₁ + = -K ₂ ) h where, k₁ = f(t₁, W₁) and k₂ = f(t₁ + h, w₁ + k₁h), the speed (w) at t = 0.8s is approximately 0.0081.
can some one help me with my last question please i really need help
Answer: yeah for sure but post the picture
Explanation:
Lol
2. if one visible red wave is 700 nm in length, and one visible violet wave is 400 nm in length How many possible colors can there be?
Between the value 400 nm and 700 nm there is an infinite amount of real values that can represent the length of a wavelength.
If we consider that each differente wavelength represents a different color, therefore there are infinite possible colors in the interval from 400 nm to 700 nm.
But if we consider only certain intervals of wavelength as certain colors, we can have for example 7 colors:
Violet, Indigo, Blue, Green, Yellow, Orange, Red.
Is the earth round? Or is it flat like some people say
Answer: The Earth is an oblate spheroid, meaning it is roughly spherical in shape but flattened at the poles and bulges at the equator. This shape has been scientifically proven through centuries of evidence and observations. While some people may claim that the Earth is flat, this idea is not supported by scientific evidence.
Describe how the location of the oxygen molecules will change after the divider swings open.
Find the freezing point of the material and contrast it to that of other metals. Measure the metal's length and contrast it with the lengths of other metals. Also, contrast the metal's shape with those of other metals.
Which of the following best describes how heat energy flows in the concentrated solar layout?The air within the solar cooker receives energy from the water through the edges of the cook pot. The air outside solar cooker receives energy that is transferred from the gas within the solar cooker through sidewalls of the solar cooker.
What kind of energy is transferred in a solar cooker?Radiation is utilized to bake the s'mores in the hot cooker that is created in this exercise. When heat is transported without the presence of Sun and s'mores were in close proximity to one another Electromagnetic waves that are passing through the air convey the heat.
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A glass tube of 30 cm long contains water to a height of 20 cm if 8140 frequency 250hz is used to obtain the next position of resonance after the first when the water level is 25 cm below the open-end calculate the velocity of sound in air
The velocity of sound in air is 50 m/s.
To calculate the velocity of sound in air, we can use the formula:
v = f * λ
Where:
v is the velocity of sound
f is the frequency of the sound wave
λ is the wavelength of the sound wave
In this case, the first resonance occurs when the length of the glass tube is a quarter of the wavelength. So, for the first resonance:
λ₁ = 4 * L₁
Where:
λ₁ is the wavelength at the first resonance
L₁ is the length of the tube
Given that L₁ = 30 cm, we can calculate the wavelength at the first resonance:
λ₁ = 4 * 30 cm = 120 cm
Now, when the water level is 25 cm below the open end, the effective length of the tube becomes L₂ = L₁ - 25 cm = 5 cm.
To find the wavelength at the next resonance, we can use the formula:
λ₂ = 4 * L₂
λ₂ = 4 * 5 cm = 20 cm
Since the frequency remains the same (250 Hz), we can now calculate the velocity of sound using the equation v = f * λ:
v = 250 Hz * 20 cm = 5000 cm/s = 50 m/s
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Anna hits a volleyball straight up into the air. At its highest point, the ball is at rest for a brief moment. At that exact same time, Anna swings her hand towards the ball to hit it. What is most likely to happen when Anna's hand and ball collide?
The ball will transfer energy to Anna's hand.
Anna's hand will transfer energy to the ball.
The ball and Anna's hand will both gain energy from the collision.
The ball and Anna's hand will both lose energy from the collision.
The ball and Anna's hand will both lose energy from the collision. At the highest point, the ball's kinetic energy is zero, and it momentarily stops. During the collision, some of Anna's hand's energy is used to overcome gravity and restore the ball's kinetic energy.
When Anna's hand and the volleyball collide at the ball's highest point (when the ball is at rest for a time), the ball will likely transfer energy to her hand. The volleyball possesses gravitational potential energy and zero velocity at its highest point. Anna's hand will likely absorb energy from the ball when it hits it.
Depending on the surface qualities, collision angle, and ball and hand materials, the collision may be somewhat elastic or inelastic. However, Anna's hand would gain energy from the ball's kinetic and potential energy.
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Question 3 of 10
Jake lifts a backpack with a force of 30 N to a height of 1 meter in 4 seconds.
How much work does he do on the backpack?
A. 120 N
B. 30 N
C. 15 N
D. 60 N
Answer:
30N
Explanation:
Why VR of second class lever is greater than 1?
Second class lever has mechanical advantage always more than one as load is in between fulcrum and effort making the effort arm longer than the load arm. It multiplies force. ... It does not multiply force but changes the direction of force.
A sprinter runs for 6.45 s at 7.44 m/s. How far does she get?
A. 0.867 m
B. 13.9 m
C. 1.15 m
D. 48.0 m
Answer:
D is the answer
Explanation:
6.45×7.44= 47.98800
Which if we round of we get 48m
IWhat is a hypothesis?
Answer:
a hypothesis is a explanation made on the basis of limited evidence
Explanation:
Answer:
an hypothesis is an educated guess based on what you already know
Explanation:
hope this helps
GCSE
describe how a power station works in terms of energy transfers
A power station works in terms of energy transfers by the process of Fuel Combustion, Steam Generation, Steam Turbine, Generator, Electrical Transmission and Distribution and Consumption.
A power station is a facility that generates electricity by converting various forms of energy into electrical energy. The overall process involves several energy transfers. Here is a description of how a typical power station works:
1. Fuel Combustion: The power station burns fossil fuels like coal, oil, or natural gas in a boiler. The combustion of these fuels releases thermal energy.
2. Steam Generation: The thermal energy produced from fuel combustion is used to heat water and generate steam. This transfer of energy occurs in the boiler.
3. Steam Turbine: The high-pressure steam from the boiler is directed onto the blades of a steam turbine. As the steam passes over the blades, it transfers its thermal energy into kinetic energy, causing the turbine to rotate.
4. Generator: The rotating steam turbine is connected to a generator. The mechanical energy of the turbine is transferred to the generator, where it is converted into electrical energy through electromagnetic induction.
5. Electrical Transmission: The electrical energy generated by the generator is sent to a transformer, which steps up the voltage for efficient transmission over long distances through power lines.
6. Distribution and Consumption: The transmitted electricity is then distributed to homes, businesses, and industries through a network of power lines. At the consumer end, the electrical energy is converted into other forms for various uses, such as lighting, heating, and running electrical appliances.
In summary, a power station converts thermal energy from fuel combustion into mechanical energy through steam turbines and finally into electrical energy through generators. The generated electricity is then transmitted, distributed, and utilized for various purposes.
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A car accelerates by 4 m/s^2 and travels for 2.5 mins with an initial velocity of 20m/s. Find the final velocity.
Answer:
540m/s
Explanation:
v= u + at
u change t to seconds
Challenge Exercises: The following exercises are of a greater difficulty than the earlier ones, though still matched to our course objectives. These exercises are not intended to prepare you for test questions, instead they expose you to more complex, real-world scenarios. You may struggle more with these questions than the Routine exercises. Remember your problem solving strategies! Read carefully and repeatedly. What words are familiar in the problem statement? What terms have been defined in the class, versus what is being provided to you within the exercise itself? Who can you work with for assistance? 8. The power generated by a stationary cyclist depends on both the resistance on the fly-wheel and the cadence (i.e. how fast the cyclist is pedaling). A University of Calgary study looked at fixed levels of exertion and drew curves for the relationship between resistance and cadence. Let's examine the relationship between resistance and cadence at a fixed activity level (i.e. perceived level of exertion). The article cites that they used a Hill function of the form (R+a) · (v + b) = b(Ro + a), where R is the resistance and Ro is the maximal resistance (both in Newtons), v is the cadence (in revolutions per minute), and a and b are other constants. (a) For the lowest activity level used in the study, the maximal resistance was 75 Newtons. Also, when resistance dropped to 0, cadence was 180 rpm; when resistance was 10 Newtons, cadence dropped to 100 rpm. Use this data to find values of the constants a and b. (b) Including the constants from part (a), express the formula from the article explicitly in the form of R as a function of v. (c) What is the long-term behavior of R? Is this behavior meaningful in context?
a) Given that the Hill function is (R+a) · (v + b) = b(Ro + a)Here, R = resistance, Ro = maximal resistance, v = cadence, a, b are constantsGiven, maximal resistance, Ro = 75 Newtons,Resistance, R = 0, cadence, v = 180 rpmResistance, R = 10 Newtons, cadence, v = 100 rpmWe have to calculate a and b.For R = 0, v = 180, 10a + 180b = 75b, and b = (10a/−100 + 9/2)For R = 10, v = 100, 20a + 100b = 750 − 75
a.Substitute the value of b in the above equation.20a + 100(10a/−100 + 9/2) = 750 − 75a20a − 10a + 450 = 750 − 75a10a = 300a = 30Substitute the value of a in the equation (10a/−100 + 9/2) = b(10/−100 + 3/2)b = 15/16Therefore, the value of a is 30 and the value of b is 15/16. Hence, we got the value of a and b.b) Here the Hill function is (R+a) · (v + b) = b(Ro + a)Substituting the value of a and b in the equation, we get (R + 30) (v + (15/16)) = (15/16)(75+30)R + 30 = (15/16)105R = (105(v + (15/16)) − 2475)/15R = (7(v + (15/16)) − 165)/15
Therefore, the formula for R as a function of v is given by R = (7(v + (15/16)) − 165)/15.c) Long-term behavior of R is the value of R when v approaches infinity. Thus, the limiting value of R when v approaches infinity is Ro, i.e. 75 Newtons. Thus, the long-term behavior of R is that as the cadence increases, the resistance approaches its maximal value. This behavior is meaningful in the context of a stationary bicycle since maximal resistance represents the level of physical resistance that a cyclist may face.
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The change in the viscosity of a melt is directly proportional to the change in ______. 1. Silica content 2. Temperature 3. Water content 4. Carbon Dioxide
The change in the viscosity of a melt is directly proportional to the change in temperature. The correct option is 2
What is Viscosity ?The resistance of a fluid or melt to flowing is referred to as its viscosity. A melt's viscosity tends to decrease as its temperature rises, resulting in a more fluid-like behavior. On the other hand, viscosity tends to rise as temperature drops, producing a more solid-like behavior.
While a melt's characteristics can be influenced by elements like silica content, water content, and carbon dioxide, in this case the change in viscosity is specifically connected to temperature.
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