The water outflow in 30 secs through 200 mm of the capillary tube is mathematically given as
[tex]Qo=1.6 \times 10^{2} \mathrm{~mL}[/tex]
What is the water outflow in 30 secs through 200 mm of the capillary tube?[tex]\begin{aligned}\Delta P &=6660 \mathrm{~m} / \mathrm{m}^{2} \\\mu &=8.01 \times 10^{-4} \text { Pas } \\t &=30 \mathrm{~s} \\L &=200 \mathrm{~mm}=200 \times 10^{-3} \mathrm{~m} \\D &=1.5 \mathrm{~mm}=1.5 \times 10^{-3} \mathrm{~m} \Rightarrow \gamma=\frac{1.5 \times 10^{-3}}{2} \mathrm{~m}\end{aligned}[/tex]
Generally, the equation for Rate of flow of Liquid is mathematically given as
[tex]\\$$Q=\frac{\pi r^{4} \times \Delta P}{8 \mu L}[/tex]
$$
Where dP is pressure difference r is the radius
[tex]\mu[/tex] is the viscosity of water
L is the length of the pipe
[tex]Q=\frac{\pi \times\left(\frac{1.5 \times 10^{-3}}{2}\right)^{4} \times 6660}{8 \times 8.01 \times 10^{-4} \times 200 \times 10^{-3}}[/tex]
[tex]Q=5.2 \mathrm{~mL} / \mathrm{s}[/tex]
In $30s the quantity that flows out of the tube
[tex]&Qo=5.2 \times 30 \\&Qo=1.6 \times 10^{2} \mathrm{~mL}[/tex]
In conclusion, the quantity that flows out of the tube
[tex]Qo=1.6 \times 10^{2} \mathrm{~mL}[/tex]
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A toy rocket with a mass of 300 g takes off in a vertical direction under the influence of gravity. It burns fuel at the rate of 25 g/s. The exhaust speed of the gases is 80 m/s. What is the speed of the rocket at the end of 10 seconds
The speed of the rocket at the end of 10 seconds is 66.7 m/s.
Speed of the rocket at end of 10 secondsThe speed of the rocket at the end of 10 seconds is calculated as follows;
F = mv/t
where;
F is the force of the rocketv is velocity of the rockett is time of motionm is mass of the rocketF = (m/t)v
F = (0.025 kg /s) x 80 m/s
F = 2 N
Acceleration of the rocketF = ma
a = F/m
a = 2/(0.3)
a = 6.67 m/s²
Velocity after 10 secondsv = at
v = 6.67 x 10
v = 66.7 m/s
Thus, the speed of the rocket at the end of 10 seconds is 66.7 m/s.
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Find the mass of a body if the acceleration the body used to move is given as 5 m/s-2 and the force of the body is 30N take g=10 m/s-2
The mass of a body if the acceleration the body used to move is given as 5 m/s-2 will be 3 kg.
What is force?Force is defined as the push or pulls applied to the body. Sometimes it is used to change the shape, size, and direction of the body.
Force is defined as the product of mass and acceleration. Its unit is Newton.
Given data;
Force,F = 30 N
Mass,m = kg
Acceleration,a = 5 m/s²
The force is found as;
F=ma
30 N =m kg × 5 m/s²
m=3 kg
Hence the mass of a body will be 3 kg.
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Susie operates a restaurant in the ski resort town of Asvail. She has decided to group her Other Expenses categories in terms of either fixed expenses or variable expenses. Place an X in the Variable Expense column for those expenses that vary with sales volume. For expenses that do not vary with sales, place an X in the Fixed Expense column.
Other Expenses Variable Expense Fixed Expense Linen rental Plano rental Ice
Insurance Pension plan payments Snow shoveling fees (parking lot) Paper products Kitchen equipment lease (mixer)
Long-term debt payment Real estate tax
Expenses including those for linen service, ice, and paper goods might fluctuate depending on demand. Other variables are constants. No change occurs to it. This is further explained below.
What is Susie's operation?Generally, Fixed expenditures, in contrast to the more unpredictable variable costs like advertising, happen regularly at the same time each year regardless of fluctuations in revenue or other variables. It doesn't get the performance bus.
Here, we are given with table.
[tex]\begin{tabular}{|c|c|c|}Other Expenses & Variable Expense & Fixed Expense. \\ Linen rental & $X$ & \\ piano rental & & $X$ \\ ice & $X$ & $X$ \\insurance & & $X$ \\ Pension plan & & $X$ \\Snow shoveling dees cparkinglot) & & \\Paper products & $X$ & $X$ \\ Kituen equipment & & $X$ \\ lease (mixer) & & \\Longterm debt. & & \\ Realestate tax. & & \\\end{tabular}[/tex]
In conclusion,
Linen rental, ice, and Paper Products are Variable expenses because it is based on requirementOthers are fixed by other factors. it's not affectedRead more about Expenses
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Suppose a satellite were orbiting the Earth just above the surface. What is its centripetalacceleration?
The centripetal acceleration of the satellite will be less than acceleration due to gravity on earth (g).
Calculation of centripetal acceleration of satellite:
Let the radius of earth be, R
Let the radius of satellite be, R'
Let the gravitational constant be, G
Let the acceleration due to gravity (earth) be, g
Let the mass of earth be M
Step 1:
We know that the orbital velocity of satellite can be given as:
v =√GM/R' - ( 1 )
Thus, the centripetal acceleration of the satellite will be:
a_c = v²/R' = GM/R'² - ( 2 )
The acceleration due to gravity is given as:
g = GM/R² - ( 3 )
Step 2:
From equation 2 and 3 we get:
a_c/g = GM/R'² ÷ GM/R²
a_c/g = R²/R'² < 1
Step 3:
Thus we get:
a_c/g < 1
a_c < g
Therefore, the centripetal acceleration of the satellite is smaller than acceleration due to gravity on earth.
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Beryllium has a charge of 2, and bromine has a charge of –1. which is the best name for the ionic bond that forms between them? beryllium bromide beryllium bromine bromine berylliumide bromide berylliumide
The best name for the ionic bond that forms between them is Beryllium Bromide.
We have been provided with data,
Beryllium charge, q = 2
Bromine charge, q = -1
As we know the valance electron of Be is +2 and the valance electron of bromine is -1. Since one is metallic and the other is non-metallic.
Now, when they combine they exchange valance electron, and bromine change into bromide so they form Beryllium Bromide.
So, the best name for the ionic bond that forms between them is Beryllium Bromide.
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The launching velocity of a missile is 20.0 m/s, and it is shot at 53º above the horizontal. Which of the velocity components (neglecting air resistance) remains constant throughout the flight?
A. Vertical
B. Horizontal
Answer:
The horizontal component of velocity (B) remains constant because no components of the external force act on this component of velocity
(the force of gravity affects the vertical component of velocity)
Consider a river flowing toward a lake at an average velocity of 3 m/s at a rate of 510 m3/s at a location 90 m above the lake surface. Determine the total mechanical energy of the river water per unit mass and the power generation potential of the entire river at that location.
The mechanical energy of the river water per unit mass is 887.4 J/kg
The power generated is 452.574 MW.
Given:
Average velocity (v) = 3 m/s
Rate = 510 m³/s
Height (h) = 90 m
We know, that mechanical energy is the sum of potential energy and kinetic energy.
So,
E = [tex]\frac{1}{2}[/tex]×m×v² + m×g×h
and energy per mass unit is
E/m = [tex]\frac{1}{2}[/tex]×v² + g×h
E/m = [tex]\frac{1}{2}[/tex]×3² + 9.81×90
E/m = 887.4 J/kg
So, mechanical energy per unit mass is 887.4 J/kg.
Power generated is expressed as;
Power generated = energy per unit mass ×rate×density
Density of water = 1000 kg/m³
Power generated = 887.4× 510× 1000
Power generated = 452574000 W
So, the power generated is 452.574 MW.
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write the first law of motion
Answer:
A object in rest will remain in rest and a object in motion will move at a constant pace and in a straight line unless a unbalanced force acts upon it
Explanation:
give brainliest if you'd like
Newton's first law: the law of inertia
Newton's first law states that
if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force.
hope you understand thank you.
What is the potential energy in J of a bungee jumper standing on a 0.109 km bridge that weighs 85 kg?
Considering the definition of potential energy, the potential energy of the bungee jumper is 90,889.65 J.
Potential energyPotential energy is the energy that measures the ability of a system to do work based on its position. In other words, this is the energy that a body located at a certain height above the ground has.
Gravitational potential energy is the energy associated with the gravitational force. This will depend on the relative height of an object to some reference point, the mass, and the strength of gravity.
So for an object with mass m, at height h, the expression applied to the gravitational energy of the object is:
Ep= m×g×h
Where:
Ep is the potential energy in joules (J).m is the mass in kilograms (kg).h is the height in meters (m).g is the acceleration of fall in m/s² (approximately 9.81 m/s²).Potential energy in this caseIn this case, you know:
m= 85 kgg= 9.81 m/s²h= 0.109 km= 109 m (being 1 km= 1000 m)Replacing in the definition of potential energy:
Ep= 85 kg × 9.81 m/s² × 109 m
Solving:
Ep= 90,889.65 J
Finally, the potential energy of the bungee jumper is 90,889.65 J.
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In example 18. 4 of the text, the deflection angle of the laser beam as it exits the prism is 22. 6º. If the prism had been made of glass instead of polystyrene plastic, what would the deflection angle have been?.
The deflection angle would have been 37.29º if the prism had been made of polystyrene plastic.
As we know that the deflection angle is an angle between the moving object from its directed course.
In the following question the deflection angle as laser enters the beam is, B = 22.6º
refractive index of glass, n1= 1.52
refractive index of polystyrene plastic, n2 = 1.59
Now when we see for the second surface then ,
B = 45º - 22.6º
B = 22.40º
So from Snell's law:
n1 sinθ1 = n2 sinθ2
→ sin B / sinθ = n1 / n2
sinθ = (sin 22.40º) × ( 1/ 1.59)
θ = 37.29º
Thus, the deflection angle should be 37.29º if the prism is made of polystyrene plastic.
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Here, a long solenoid of 20000 turns/meter and r=2 cm is oriented along the z-axis (outer circle). There is a small coil of 10 loops of wire of radius 1 cm concentric with the solenoid and lying in the x-y plane (inner circle). An alternating current of magnitude 10 A switches direction every 0.01 seconds in the solenoid. What is the magnitude of the EMF generated in the small loop, in Volts?
Hello!
Recall that the magnetic field produced by a solenoid with a time-varying current is given by:
[tex]B(t) = \mu_0 ni(t)[/tex]
[tex]B(t)[/tex] = time-varying magnetic field (T)
[tex]\mu_0[/tex] = Permeability of free space (4π × 10⁻⁷ Tm/A)
[tex]n[/tex] = number of turns/meter (20000)
[tex]i(t)[/tex] = time-varying current
**Since we have AC current, we can use a sinusoidal function to represent the current.
Let's now figure out the expression for the current.
The typical format of a sinusoidal function for current is:
[tex]i(t) = Asin(\omega t + \phi)[/tex]
A = amplitude (max current, 10 A)
ω = angular frequency (rad/sec)
φ = phase shift (we will assume there is not one since it is not given.)
We are also assuming we are starting from t = 0 s.
Now we need to solve for the angular frequency to complete our equation.
If the current changes direction every 0.01 seconds, that means that the PERIOD of the current is double this (aka, how long it takes for the current to repeat the same magnitude and direction).
Think about AC current like an oscillating mass on a spring. When the current changes directions, (every 0.01 sec), there is momentarily no current (temporarily no moving charge). The peak current will occur at the halfway point between each change in direction, or every 0.005 sec. Additionally, using this analogy, the mass on a spring changes direction TWICE before it returns to its original position, which is why our period here is double the time it takes for the current to switch directions.
So:
[tex]T = 2(0.01) = 0.02[/tex]
Now, we can convert from period to angular frequency.
[tex]\omega = \frac{2\pi}{T} = \frac{2\pi}{0.02} = 100\pi[/tex]
We have the current equation as:
[tex]i(t) = 10sin(100\pi t)[/tex]
So, our magnetic field produced by the solenoid will be:
[tex]B(t) = (4\pi *10^{-7})(20000)(10sin(100\pi t) )= 0.251sin(100\pi t)[/tex]
Since we have that figured out, we can use Faraday's Law to find the induced emf:
[tex]\epsilon = -N \frac{d\Phi_B}{dt}[/tex]
ε = Induced EMF (V)
N = number of loops in COIL (10 loops)
[tex]\Phi_B[/tex] = Magnetic Flux (Wb)
The area of the coil is constant so we can rewrite the equation as:
[tex]\epsilon = -N * A\frac{dB}{dt}[/tex]
Where 'A' is the cross-sectional area of the COIL.
Let's calculate that:
[tex]A = \pi (0.01^2) = 0.000314 m^2[/tex]
Now, let's calculate the induced emf. Using our equation for 'B' we got earlier:
[tex]B(t) = 0.251sin(100\pi t)\\\\\frac{dB}{dt} = (100\pi)(0.251)cos(100\pi t) = 78.957cos(100\pi t)[/tex]
Combining this into Faraday's equation:
[tex]\epsilon = -N * A\frac{dB}{dt}\\\\\epsilon = -(10)(0.000314)(78.957cos(100\pi t) = -2.48cos(100\pi t)[/tex]
The magnitude is the absolute value, so:
[tex]\epsilon = \boxed{2.48cos(100\pi t) \text{ V}}[/tex]
Object a with a mass of 1.5 kilograms is moving with a velocity of 11.2 meters/second (moving in the x direction). it has a perfectly elastic collision with stationary object b that has a mass of 4.5 kilograms. after the collision, object b travels with a velocity of 5.6 meters/second. what is the final velocity for object a? a. 3.8 meters/second in the same direction b. -3.8 meters/second in the opposite direction c. 5.6 meters/second in the same direction d. -5.6 meters/second in the opposite direction e. -6.2 meters/second in the opposite direction
The final velocity for object a is 5.6 m/s in the opposite direction.
From the conservation of momentum, we know that the collision between two objects will result in the conservation of initial momentum and the final momentum i.e.,
Pi = Pf
It is given that,
m₁ = 1.5 kg
u₁ = 11.2 m/s
m₂= 4.5 kg
u₂= 0
v₂= 5.6 m/s
We need to find v₁.
Using momentum conservation
m₁ u₁ + m₂ u₂ = m₁ v₁ + m₂ v₂
1.5 × 11.2 + 4.5 × 0 = 1.5 × v₁ + 4.5 × 5.6
16.8 + 0 = 1.5 × v₁ + 25.2
-8.4/ 1.5 = v₁
v₁ = - 5.6 m/s
Here, the negative sign shows that body is moving in the opposite direction.
Hence, option (d) is correct.
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How much horsepower is produced by 2023 z’s 3. 0-liter twin-turbo 6-cylinder engine?.
The engine is rated at 400 horsepower at 6,400 rpm and 350 lb-ft of torque starting from 1,600 to 5,200 rpm.
Horsepower:
The power an engine produces is referred to as horsepower. It is determined by the amount of force required to move 550 pounds one foot in a second or 33,000 pounds one foot in a minute. The speed at which the work is completed serves as a gauge of power.
Equation to calculate horsepowe:
Simple math can be used to get horsepower: Horsepower = Torque x RPM / 5,252. To test it out for yourself, use the horsepower calculator below. Knowing a few more fundamental terminology and formulas can help you comprehend how a dynamometer determines torque and power.
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9. A couple of ice cubes float in a glass of water. Will the water level in the glass change when the ice cubes have melted? Explain your answer.
yes or no
Answer:
according to the Archimedes principle , the floating substance displaces some liquid, so when the ice melts ,there will be no change in the water level as the melted ice will occupy the same volume as it was occupying earlier.
Explanation:
Is volume measured using a balance?
If line segment ru is considered the base of parallelogram rstu, what is the corresponding height of the parallelogram?.
The corresponding height of the given parallelogram is 5.4 units
steps involved:
Given that the basis of the parallelogram RSTU is thought to be the line segment RU with vertices R(1, 1) and U(4, 5).
The parallelogram's top is therefore defined as the line segment ST with vertices S(7, 0) and T(10, 4).
The length of a line with endpoints at RU and ST and that is perpendicular to both RU and ST is the length that corresponds to the parallelogram's height.
Given by is the equation for the line segment RU.
Let the slope of the line perpendicular to line RU be m, then provided that two lines are perpendicular, the product of the slope of the two lines is -1.
Consequently, the equation for the line passing through point (1, 1) and perpendicular to RU is
Therefore, the corresponding height of the given parallelogram is 5.4 units
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A 2kg ball rotates on the end of a 1.4m long string. The ball makes 5 revolutions in 4.4s. What is the speed of the ball?
Group of answer choices
a) .88m/s
b) 8.79m/s
c) 9.93m/s
d) 1.99m/s
The speed or the linear velocity of the stone is 9.93 m/s; option C
What is the speed or linear velocity of the stone?The linear velocity of the stone is given by the formula below:
v = wrwhere w is angular velocity and r is radius.
w = θ/t
1 complete revolution = 2π radians
5 revolutions = 10π radians
w = 10π/4.4 rad/s
v = 10π/4.4 rad/s * 1.4
v = 9.93 m/s
In conclusion, the linear velocity is obtained from the angular velocity and radius of the string.
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A circular solenoid contains 100 turns of wire and carries a current of 2 A. Its radius is 1 cm and its length is 10 cm. Calculate the magnetic flux through one turn of the wire making the solenoid.
The magnetic flux through one turn of the wire making the solenoid is 7.88*10^-7 T m^2.
B = unI
= 4pi*10^-7*(100/0.1)*2
= 0.00251 T
Therefore, Flux = B*Area
= 0.00251*pi*(0.01^2)
= 7.88*10^-7 T m^2
Magnetic flux is a measurement of the entire magnetic discipline which passes thru a given vicinity. It's far a useful device for helping describe the outcomes of the magnetic pressure on something occupying a given vicinity. The size of the magnetic flux is tied to the specific location chosen.
The SI unit of magnetic flux is the Weber (Wb). A flux density of 1 Wb/m2 (one Weber in keeping with rectangular meter) is one Tesla (T).
A magnetic subject describes a location in which a magnetic pressure may be felt. Magnetic flux describes how a good deal of magnetic discipline passes through a place.
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A hydroelectric power station (dam) turns energy
from
into
A. Gravitational; Electrical
B. Kinetic; electrical
C. Kinetic; gravitational
O D. Gravitational; Kinetic
A hydroelectric power station turns energy from kinetic into electrical.
What's the function of turbine connected in hydroelectric power station?Turbine is device that is connected in the path of water flow in the hydroelectric power station.So that it is rotated by the current of high speed water in a magnetic field.Due to this rotation, we get current by Faraday's method.Here the rotation of the turbine leads to the kinetic energy that is being converted to electrical energy.Thus, we can conclude that hydroelectric power station turns energy from kinetic into electrical.
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A stone that is dropped freely from the rest traveled half the total height in the second. with what velocity will it strike the ground
The stone will strike the ground with velocity of 33.5 m/s.
What is velocity:
Velocity is the directional speed as an indication of its rate of change in position observed from a particular frame of reference.velocity formula is basically displacement divided by time.What is displacement:
It is an vector quantity with magnitude and direction.It defines as the change in position of an object.Here,
Stone is dropped freely from rest, so it's Initial velocity will be zero.
u = 0 m/s
displacement is equal to half of total height.
y = h/2
since Stone is dropped freely, a=g ( acceleration of gravity)
According to Newton's equation of motion:
y = u* t + 1/2 (at^2)
h/2 = 0 + 1/2 (gt^2)
h = g* t^2 -----1
now at t= t+1 , displacement y = h
h = u* t + ½ g (t + 1)²
h = ½ g (t + 1)² -----2
comparing both equations,
g* t^2 = ½ g (t + 1)²
2t² = (t + 1)²
2t² = t² + 2t + 1
t² − 2t = 1
t² − 2t + 1 = 2
(t − 1)² = 2
t − 1 = ±√2
t = 1 ± √2
Since t > 0, t = 1 + √2.
So t+1 = 2 + √2.
At that time, the speed is:
v = at + u
v = g (2 + √2) + 0
v = g (2 + √2)
If g = 9.8 m/s²,
v = 33.5 m/s.
The stone will strike the ground with velocity of 33.5 m/s.
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How could you describe the motion of the skiers?
Answer:
slows down
Explanation:
slow down and speed up
A storage tank 23 m high is filled with pure water. (Assume the tank is open and exposed to the atmosphere at the top) the pressure is 225400 Pa.
Calculate the magnitude of the net force that acts on a square access hatch at the bottom of the tank that measures 0.6 m by 0.6 m.
The force of the body is obtained as 81144 N.
What is pressure?The term pressure is defined as the mass per unit area of a body. We have the pressure at the top of the tank as 225400 Pa and the area of the tank as 0.6 m by 0.6 m.
Thus;
Pressure = Force/Area
Force = Pressure * Area
Force = 225400 Pa * 0.6 m *0.6 m
Force = 81144 N
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What is the formula for calculating the efficiency of a heat engine?
Answer: efficiency =WQH=1−TCTH
Explanation: i looked it up
You are operating a pwc in an area where swimmers are in the water. When must you slow your pwc to "slow, no wake speed"?.
You should slow your pwc to "slow, no wake speed" when within 100 feet of anchored vessels or non-motorized craft.
What is Slow-no-wake?This is the process of operating a personal watercraft at the slowest possible speed.
This helps to maintain steerage which prevents different forms of accident or risks when in motion in the water.
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Astrologers claim that your personality traits are determined by the positions of the
planets in relation to you at birth. Scientists argue that these gravitational effects are so
small that they are totally insignificant. What is the gravitational attraction between you
(40 kg) and Mars? NOTE: M Mars
23
6.42×10²³ kg, d
= 2.25×10¹¹ m.
11
=
earth-mars
Answer:
Zodiac signs
Explanation:
In terms of net charge, how does an electrically polarized object differ from an electrically charged object?.
Answer:
An electrically polarized object can have zero net charge, while a charged object cannot have zero net charge.
I hope this helps :D
A can filled with water, is heated so that water boils. Now seal the mouth with
air – tight cap. Let the can cool. It’s sides get deformed. Explain why?
Answer:
The heat from the water deforms the sides because it melts the plastic
Fehling's solution is added to the counters of test tube b after about 3 minutes and it turns brick red.what food substance was used?
The food substance being used which turned Fehling's solution to brick red is a reducing sugar.
What is Fehling's solution?This is an indicator which is used to test for the presence of reducing sugar or aldehydes in a solution.
Brick red precipitate of copper(I) oxide is formed when it tests positive to compounds such as glucose etc.
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The total amount of charge that passes through a wire's full cross section at any point per unit of time is referred to as
Answer:
The current in a circuit can be determined as total amount of charge passes through a wire's full cross section area.
Explanation:
what is current?The current is a flow of electrical charge carriers electrons.
The current is denoted with symbol uppercase letter I.
The standard unit for current is the ampere, symbolized by A.
Current is the change in charge with change in time.
Hence we can say that,
The current in a circuit can be determined as total amount of charge passes through a wire's full cross section area.
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A hobby rocket reaches a height of 72.3 m and lands 111 m from the launch point with no air resistance. What was the angle of launch
Answer:
The angle of launch is 52.49 Degree.
Explanation:
The Range R and Height H of a thrown object is calculated using the formula,
R=V₀² sin(2φ)/g
H=V₀²sin²(φ)/g
From these equations it can be written,
V₀²=R g/ sin(2φ)
V₀²=H g/ sin²(φ)
These values are equal so it can be written by equating these equations,
R g/sin(2φ)=H g/sin²(φ)
tan(φ)= 2H/R
Given H=72.3 m and R=111 m, the angle of launch is,
tan(φ)= 2*72.3/111
φ= 52.49 Degree.
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