Answer:
(a) V₁ = 1.06 m/s
(b) V₂ = 4.24 m/s
(c) Q = 4.08 x 10⁻³ m³/s
Explanation:
(b)
The formula derived for Venturi tube can be used here:
P₁ - P₂ = (ρ/2)(V₂² - V₁²)
where,
P₁ - P₂ = Difference in Pressure = (2x 10⁴ Pa) - (1.25 x 10⁴ Pa) = 0.75 x 10⁴ Pa
ρ = Density of Oil = 890 kg/m³
V₂ = Velocity at Higher End = ?
V₁ = Velocity at Lower End = ?
Therefore,
0.75 x 10⁴ Pa = [(890kg/m³)/2](V₂² - V₁²)
V₂² - V₁² = (0.75 x 10⁴ Pa)/(445 kg/m³)
V₂² - V₁² = 16.85 m²/s² ------------------- equation (1)
Now, we will use continuity equation:
A₁V₁ = A₂V₂
where,
A₁ = Lower End Area = πd₁²/4 = π(0.07 m)²/4 = 3.848 x 10⁻³ m²
A₂ = Higher End Area = πd₂²/4 = π(0.035 m)²/4 = 9.621 x 10⁻⁴ m²
Therefore,
(3.848 x 10⁻³ m²)V₁ = (9.621 x 10⁻⁴ m²)V₂
V₁ = (9.621 x 10⁻⁴ m²)V₂/(3.848 x 10⁻³ m²)
V₁ = 0.25 V₂ -------------------- equation (2)
using this value in equation (1):
V₂² - (0.25 V₂)² = 16.85 m²/s²
0.9375 V₂² = 16.85 m²/s²
V₂² = (16.85 m²/s²)/0.9375
V₂ = √(17.97 m²/s²)
V₂ = 4.24 m/s
(a)
using the value of V₂ in equation (2):
V₁ = 0.25(4.24 m/s)
V₁ = 1.06 m/s
(c)
For fluid flow rate we use the following equation:
Flow Rate = Q = A₂V₂ = (9.621 x 10⁻⁴ m²)(4.24 m/s)
Q = 4.08 x 10⁻³ m³/s
The speed if the fluid increases as pressure decreases.
(a) The speed of the flow in the lower section is 1.06 m/s
(b) The speed of the flow in the higher section is 4.24 m/s
(c) The volume flow rate in the pipe [tex]\bold {4.08 x 10^-^3m^3/s}[/tex].
The relation pressure and volume in constricted pipe can be derived by the formula formula ,
[tex]\bold {P_1 - P_2 = (\rho /2)(V_2^2 - V_1^2)}[/tex]
Where,
P₁ - P₂ -Difference in Pressure = [tex]\bold { 0.75 x 10^4}[/tex]
[tex]\rho[/tex] - Density of Oil = 890 kg/m³
V₂ - Velocity at Higher End = ?
V₁ - Velocity at Lower End = ?
put the values in the formula,
[tex]\bold {0.75 x 10^4 Pa = \dfrac{(890kg/m^3)}{2(V_2^2 - V_1^2)}}\\\\\bold {V_2^2 - V_1^2 = \dfrac {0.75 x 10^4 Pa}{445 kg/m^3}}\\\\\bold {V_2^2 - V_1^2 = 16.85 m^2/s^2}[/tex]
The continuity equation,
[tex]\bold {A_1V_1 = A_2V_2}[/tex]
Where,
[tex]\bold {A_1 }[/tex] - Area of lower end = [tex]\bold {3.848 x 10^-^3m^2}[/tex]
[tex]\bold {A_2 }[/tex] - Area of higher end = [tex]\bold {9.621 x 10^-^4m^2}[/tex]
Put the value in the formula above,
[tex]\bold {(3.848 x 10^-^3m^2)V_1= (9.621 x 10^-^4m^2)V^2}\\\\\bold {V_1 = \dfrac {(9.621 x 10^-^4 m^2)V_2}{(3.848 x 10^-^3 m^2)}}\\\\\bold {V_1 = 0.25 \times V_2}[/tex]
Put the value of [tex]\bold {V_1}[/tex], we get
[tex]\bold {V_2= 4.24 m/s}[/tex]
Therefore,
[tex]\bold {V1 = 0.25 (4.24 m/s)}\\\\\bold {V_1 = 1.06 m/s}[/tex]
The flow rate
[tex]\bold {Q = A_2V_2}[/tex]
[tex]\bold {Q = (9.621 x 10^-^4 m^2)(4.24 m/s)}\\\\\bold {Q = 4.08 x 10^-^3m^3/s}[/tex]
Therefore, the flow rate of the oil in the pipe is [tex]\bold {4.08 x 10^-^3m^3/s}[/tex].
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In a football game the running back is running up the field. He starts from rest and runs 4 seconds with an acceleration of 1.3m/s. What is the magnitude of his displacement
We are given:
initial velocity (u) = 0 m/s
time (t) = 4 seconds
acceleration (a) = 1.3 m/s²
displacement (s) = x m
Solving for the displacement:
from the second equation of motion
s = ut + 1/2 at²
replacing the variables with the given values
x = (0)(4) + 1/2 (1.3)(4)(4)
x = 1/2 * 20.8
x = 10.4 m
Basim’s robotics team builds a robot that travels at 9 m/s and can fire a tennis ball at a target.
Which would result in a judge who is sitting beside the testing ground observing the tennis ball having a speed of 7 m/s?
The robot fires the ball forward with a speed of 7 m/s.
The robot fires the ball backward with a speed of 7 m/s.
The robot fires the ball backward with a speed of 2 m/s.
The robot fires the ball forward with a speed of 2 m/s.
Answer:
C. The robot fires the ball backward with a speed of 2 m/s.
Explanation:
The robot fires the ball backward with a speed of 2 m/s.
To find the correct statement among all the options, we need to know about the relative velocity.
What is relative velocity?Velocity is a relative physical quantity that depends on the chosen frame of reference.
What is the mathematical formulation of relative velocity?Relative velocity=Vi-V'Where Vi is the velocity in inertial frame and V' is velocity with respect to the moving frame. Here, relative velocity=9 m/s and Vi = 7m/sSo, V'= Vi - relative velocity= 7m/s - 9 m/s = -2m/sThus, we can conclude that the robot fires the ball backward with a speed of 2 m/s.
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A soccer ball is kicked with an initial speed of 12m/s at a 30-degree angle above the horizontal. Calculate the horizontal velocity and the initial vertical velocity. [Show all work, including the calculations with substitutions with units.]
Answer:
x=10.39 m/s
y = 6 m/s
Explanation:
Components of a Vector
A vector can be expressed in several forms, including the rectangular and the polar form.
The rectangular form uses the x-y coordinates of the vector, being the right and up directions considered as positive.
The polar form uses the magnitude r and the angle it forms with the positive x-direction.
Given the polar form (r,θ), we can calculate the rectangular coordinates as follows:
[tex]x=r\cos\theta\\[/tex]
[tex]y=r\sin\theta[/tex]
The soccer ball is kicked with an initial speed of v=12 m/s and an angle of 30 degrees. Thus the horizontal and vertical components are:
[tex]x=12~m/s\cos 30^\circ[/tex]
[tex]x=12~m/s\cdot 0.866[/tex]
x = 10.39 m/s
[tex]y=12~m/s\sin 30^\circ[/tex]
[tex]y=12~m/s\cdot 0.5[/tex]
y = 6 m/s
Lauren walks 100m in half a minute. What must her speed have been to travel this distance?
Answer:
3.33 m/s
Explanation:
Using the formula: s = d / t (where s is speed, d is distance, and t is time)
[Convert minutes to seconds then solve]
Half a minute is 30 seconds. Therefore:
s = 100 / 30 = 3.33 m/s
What is pulling the box down
Answer:
Gravity is pulling the box down. :)
Explanation:
Which (on average) takes the longest to orbit the sun (longest period)?
a) asteroids
b) comets
c) Earth
d) Mars
Giving brainiest to whoever can answer it for me with work.
Answer:
Tension in the 55 degree cable = 110.56 N
Tension in the 28.5 degree cable = 72.16 N
Explanation:
Decompose the two tensions T1 (on left cable) and T2(on right cable) in vertical and horizontal components using trigonometric functions sine and cosine. Then balance the forces in the vertical and in the horizontal as shown below:
Horizontal components acting on net horizontal force:
T1 cos(55) =T2 cos(28.5)
then T1 = T2 (cos(28.5) / cos(55))
Vertical components acting on net vertical force:
T1 sin(55) + T2 sin(28.5) = 125
Now replace T1 with T2 (cos(28.5) / cos(55)) in the last equation:
T2 (cos(28.5) * sin(55)/ cos(55)) + T2 * sin(28.5) = 125
T2 ( cos(28.5) * tan(55) + sin(28.5)) = 125
solving for T2 we get: 72.16 N
now we use this T2 result in the substitution equation:
T1 = T2 (cos(28.5) / cos(55))
T1 = 110.56 N
Enrique is given information about a satellite orbiting
Earth.
In order to calculate the tangential speed of the
satellite, what should Enrique do first?
r=3.8 x 108 m
T= 18 days
- convert the radius to kilometers
- convert the orbital period to seconds
-find the square root of the radius
- find the square root of the orbital period
Answer:
B, convert the orbital period to seconds
Explanation:
edge 2o2o
In order to calculate the tangential speed of the satellite, Enrique should do first converted the orbital period to seconds. The correct option is b.
What is the tangential speed?Any item moving along a circular path has a linear component to its speed called tangential velocity. An object's velocity is always pointed tangentially when it travels in a circle at a distance r from the center. Tangential velocity is the name given to this.
Satellites can go over the Earth's North and South Poles, orbit the equator, or travel anywhere in between. They travel thousands of miles into space or only a few hundred miles above the surface of the Earth to perform their orbits. Enrique has given:
r=3.8 x 108 m
T= 18 days
Therefore, the correct option is b. convert the orbital period to seconds.
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Please help will mark Brainliest. An object is dropped from the roof of a building. After 3.5 seconds, the object strikes the ground. A.) After 2 seconds, what is the speed of the object? B.) At what speed does the object strike the ground? C.) Find the height from which the object was dropped. Show Work
Answer:
19.62 m/s
34.335 m/s
1.75 m
Explanation:
v = Final velocity
u = Initial velocity = 0
a = g = Acceleration due to gravity = [tex]9.81\ \text{m/s}^2[/tex]
t = Time taken = 2 s
From the equations of linear motion we have
[tex]v=u+at\\\Rightarrow v=0+9.81\times 2\\\Rightarrow v=19.62\ \text{m/s}[/tex]
The speed of the object after 2 seconds is 19.62 m/s
t = 3.5 s
[tex]v=u+at\\\Rightarrow v=0+9.81\times 3.5\\\Rightarrow v=34.335\ \text{m/s}[/tex]
The velocity of the object when it strikes the ground is 34.335 m/s.
[tex]v^2-u^2=2as\\\Rightarrow s=\dfrac{v^2-u^2}{2a}\\\Rightarrow s=\dfrac{34.335-0}{2\times 9.81}\\\Rightarrow s=1.75\ \text{m}[/tex]
THe height from which the object was dropped is 1.75 m.
When observed from earth, how many oscillations does the pendulum on the spaceship undergo compared to the pendulum on earth in a given time interval:__________
Answer: it’s Fewer oscillations.
Explanation:
A small sculpture made of gold ( rho gold =19320 kg/m^ 3 ) is believed to have a secret central cavity. The weight of the sculpture in air is 11.29 N. When it is submerged in water, the weight is 9.190 N. What is the volume of the secret cavity?
Answer:
1.1 x 10⁻⁵m³
Explanation:
Given parameters:
Weight in air = 11.29N
Weight in water = 9.190N
Density of gold = 19320kg/m³
Unknown:
Volume of the secret cavity = ?
Solution:
To solve this problem, we need to find the mass of the secret cavity.
Weight of the cavity = Weight of sculpture in air - Weight of sculpture in water
Weight of cavity = 11.29N - 9.190N = 2.1N
Weight = mass x acceleration due to gravity
Mass =[tex]\frac{2.1}{9.8}[/tex] = 0.2kg
So;
Volume of substance can be determined from the density.
Density = [tex]\frac{mass}{volume}[/tex]
Volume = [tex]\frac{mass}{density}[/tex]
Now insert the parameters and solve;
Volume = [tex]\frac{0.2}{19320}[/tex] = 1.1 x 10⁻⁵m³
Anne applies a force on a toy car and makes it move forward. What can be said about the forces acting on the toy car at the moment Anne applies the force? The forces acting on the toy car are .
Answer:
unbalanced.
Explanation
ive taken the test and unbalanced is correct.
Answer:
unbalanced
Explanation:
bc i got it right on a quiz
Two children ride side-by-side on a carousel. Their paths are shown in the image below.
Which child has a greater tangential velocity?
Question 6 options:
The child represented by a triangle on the inside path.
The child represented by a star on the outside path.
The child on the faster horse.
Both travel at the same tangential velocity.
Answer:
The child represented by a star on the outside path.
Explanation:
At which point(s) does the pendulum have the greatest potential energy?
A only
B only
C only
both A and C
Potential energy is the energy possessed by a body because of its position relative to other bodies.
At both point A and C pendulum have the greatest potential energy.
Potential energy would be highest when the pendulum is at its highest point on either side of its motion where it is stationary for an instant.
At end point A and C , where all kinetic energy has been converted to potential energy because it is stationary for an instant at that points.
So, at points A and C , kinetic energy is zero because velocity is zero and all energy stored in form of potential energy.
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Answer:
for some reason, i got B. tried a and c
Explanation:
it might depend on which problem you get i guess.
Can you harvest energy by impact force in a battery? Explain your answer.
Answer:
1. Resistance
2. Store chmical energy and transfer it to electrical energy when a circuit is connected
3.Electric current
4. Series and parallel
5. can't see diagram
6. series
7. Parallel
8. can't not see diagram
Explanation:
Which shows the correct order of steps when using wind to generate electricity?
wind turbine blades turn generator → generator changes kinetic energy to electricity → kinetic energy from wind turns blades on wind turbine
kinetic energy from wind turns blades on wind turbine → wind turbine blades turn generator → generator changes kinetic energy to electricity
kinetic energy from wind turns blades on wind turbine → generator changes kinetic energy to electricity → wind turbine blades turn generator
wind turbine blades turn generator → kinetic energy from wind turns blades on wind turbine → generator changes kinetic energy to electricity
Answer:
kinetic energy from wind turns blades on wind turbine → wind turbine blades turn generator → generator changes kinetic energy to electricity
Explanation:
The order of steps in the energy conversion during the production of electricity from wind turbine are as follows:
1. First of all, the wind transmits its kinetic energy to the turbine blades by striking the blade.
2. The turbine blades are connected to a generator. The kinetic energy of the turbine blades is utilized to turn the generator shaft.
3. The generator then converts the kinetic energy of the blades into electricity.
Hence, the correct option is:
kinetic energy from wind turns blades on wind turbine → wind turbine blades turn generator → generator changes kinetic energy to electricity
Answer:
B
explain: edge test
Shani poses as the Statue of Liberty for an art class. She holds a torch above her head with her right hand and a book against her side with her left hand. She holds the pose for ten minutes. At the end of the session, she mentions to her friend that it was a lot of work to pose and that her arms are really tired.
Which describes the work Shani did while she posed?(assume the starting work position is when her hand is already raised )
She did more work with her right hand than with her left because the right was held up higher.
She did no work while she posed because she did not move the torch or the book.
She did work while she posed because she was tired at the end of the session.
She did no work while she posed because she did not exert a force on anything.
Answer: she did no work while she posed because she did not move the torch or the book
Explanation: just did it on edge
Answer:
Which describes the work Shani did while she posed?(assume the starting work position is when her hand is already raised )
She did more work with her right hand than with her left because the right was held up higher.
******* CORRECT******* >She did no work while she posed because she did not move the torch or the book.She did work while she posed because she was tired at the end of the session.
She did no work while she posed because she did not exert a force on anything.
Explanation: January 2021 Edge test
The amount of work required for a
dump truck to move a mound of dirt 0
meters using a foree of 70 Newtons is
what?
Answer:
if I'm not wrong, 0 Joules
Explanation:
If it is not being moved at all, then no work is being done
A ball rotates on a string as shown below.
If the string in the image above breaks at point 1, which of the following images best shows the direction the ball will travel?
Question 8 options:
Diagram A
Diagram B
Diagram C
Diagram D
Diagram E
Answer:
Diagram A
Explanation:
When an object is travelling in a circular path it has an acceleration called centripetal acceleration, even if it is moving with uniform speed. This acceleration is attributed to the object due to change in the direction of velocity at every instant during the motion.
The direction of the velocity of the object is tangent to the circular path at every instant and if the object beaks free of the circular motion, such as breaking of the string, then it will go in the direction tangent to the circle at that instant. Hence, the diagram that best shows the direction ball will travel is:
Diagram A
On a given microscope, the numerical apertures of the condenser and low-power objective lenses are 1.25 and 0.25. You are supplied with a filter that selects a wavelength of 520nm.
Required:
a. What is the limit of resolution on this microscope?
b. Will you be able to distinguish 2 points that are 300nm apart as being separate, or will they blur into one?
Answer:
- colony: mass of single-type cells formed from single cell/small chain; pair or small cluster of cells; visible to naked eye
- colony forming unit: not visible to eye, original single cell or small chain/pair or small cluster of cells FROM WHICH colony forms
- Streaking plate: producing isolated colonies upon incubation using streak plate methods in agar
- Quadrant streak: used when sample is of high density
- Zigzag pattern: used when sample is of low density
a. The limit of resolution on this microscope is approximately 1254nm.
b. Two points that are 300nm apart will blur into one and cannot be distinguished as separate using this microscope.
The formula for the limit of resolution (d) is given by:
d = (0.61 × λ) / NA
where λ is the wavelength of light and NA is the numerical aperture.
a. To find the limit of resolution:
Given:
Wavelength of light (λ) = 520nm
Numerical aperture of the low-power objective lens (NA) = 0.25
Substituting these values into the formula, we have:
d = (0.61 × 520) / 0.25
d = 1254nm
Therefore, the limit of resolution on this microscope is approximately 1254nm.
b. To determine if two points 300nm apart can be distinguished:
Given:
Separation between the points (d) = 300nm
Since the separation between the points (300nm) is smaller than the limit of resolution (1254nm), the two points will blur into one and will not be distinguishable as separate entities.
In conclusion:
a. The limit of resolution on this microscope is approximately 1254nm.
b. Two points that are 300nm apart will blur into one and cannot be distinguished as separate using this microscope.
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1. An 95 N force has been applied to a block and move it 25 m along the direction of
the force. How much work has been done to the block?
Answer:
2375 JExplanation:
The work done by an object can be found by using the formula
workdone = force × distance
From the question we have
workdone = 95 × 25
We have the final answer as
2375 JHope this helps you
Do you thin it is possible to have the benefits of the Agricultural and Industrial revolutions without the environmental costs?
Answer:No
Explanation:There is no current technology which supports zero waste exhaust
You push a 10N object 10 meters. How much work was done on the object.
Which structures are in the cytoplasm? Check all that apply
Cell membrane
Chloroplast
Endoplasmic reticulum
Lysosomes
Cell wall
Nucleus
Vacuoles
Answer:
nucleus and endoplasmic reticulum. I'm pretty sure the mitochondria is in the cytoplasm too
Answer:
2.chloroplasts
3.endoplasmic reticulum
4.lysosomes
6.nucleus
7.vacuoles
Explanation:
These were the correct answers in my Cell Structure Assignment.
35 milliseconds?! that is crazy fast. Another
way to write that is 0.035 seconds. If the
airbag has to inflate 1 meters. How fast does
this airbagtravel? (remember velocity =
distance/time)
Answer:
28 m/s
Explanation:
1m / 0,035 s
v = 28.57 m/s
if you want km/h, multiply witz 3,6
102,85 km/h = 28,57 m/s
So can some take some time to answer number 3 for me?
Answer:
Positive and negative
Explanation:
In order to attract to form the ionic compound, those charges are needed
E.g
Na+ (sodium)
Cl- (chloride)
Which ultimately forms NaCl (sodium chloride) which is a ionic compound
If someone lifts less weight than you, explain why they can be considered more powerful.
Answer:
If they lift less weight, each time then they will grow stonger.
Whereas if you lifted more weight than them, and you couldn't do it then that means they are actually stronger than you.
I hope this helps!!!!
If someone lifts less weight that is force due to gravity than you many times than they are powerful.
What is force?A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
If they lift less weight, each time then they will grow stonger.
Whereas if you lifted more weight than them, and you couldn't do it then that means they are actually stronger than you.
If someone lifts less weight that is force due to gravity than you many times than they are powerful.
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Plz help I don’t know what to do
Which best describes the relationship between the terms “frequency,” “wavelength,” and “hertz”?
Wavelength is the number of frequencies, which is measured in hertz.
Frequency is the number of wavelengths, which is measured in hertz.
Wavelength is measured from frequency to hertz.
Frequency is measured from wavelength to hertz.
Answer:
Frequency is the number of wavelengths, which is measured in hertz.
Explanation:
I have my ways ;)
The relationship between the terms “frequency,” “wavelength,” and “hertz" is that frequency is the number of wavelengths, which is measured in hertz.
Relation between frequency and wavelength:The wavelength is described as the distance between two points on a wave having the same phase. It is also defined as the distance between two successive maxima or minima of the waveform.
The frequency of a wave is the measure of the number of wavelengths completed in one second and it is measured in Hertz (Hz).
The frequency is also the reciprocal of the time period of the wave, which is the time taken to complete one wavelength.
Therefore, frequency is the number of wavelengths, which is measured in hertz.
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how much force is needed to accelerate a 1000 kg car at a rate of 3 m/s^2
Answer:
3000N
Explanation:
hence, the force needed to accelerate the 1000kg car by 3m/s2 is 3000N