The observed frequency will be greater than the source’s frequency (option - A) is correct answer.
What happens if both the observer and the sound source move?If the source and observer are moving simultaneously in either case—moving observer or moving source—you'll notice that the frequency increases. The frequency decreases if they are drifting apart. Whether the source is moving or the observer is moving will affect how much the frequency changes.
Although the waves move at the same speed, the frequency that is observed is affected by any relative movement between the source and the observer. The wavelength changes along with the observed frequency. When an observer and a source are moving in the same direction, the frequency rises and the wavelength falls.
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A parallel plate capacitor with circular plates of radius R = 16.0 cm and plate separation d = 9.00 mm is being charged at the rate of 8.00 C/s.What is the displacement current through a circular loop of radius r = 21.00 cm centered on the axis of the capacitor? 8.00 You are correct.What is the displacement current through a circular loop of radius r = 3.00 cm centered on the axis of the capacitor?What is the magnitude of the magnetic field between the capacitor plates at a radius r = 3.00 cm from the axis of the capacitor?
The displacement current is 0.28125 C/s and the magnitude of the magnetic field is 2T.
Magnetic field strength is a quantitative measure of the strength or weakness of a magnetic field.
SI unit for the magnetic field is Tesla (T).According to the displacement current and the Biot-Savart law, the displacement current and magnetic field can be calculated.
radius of the circular plate = R = 16.0
radius of circular loop = r = 21.0 cm
rate of charge = (dq/dt) = 8 C/s
displacement current id = (dq/dt) * [tex]\pi r^{2}[/tex] / [tex]\pi R^{2}[/tex]
since r > R therefore in displacement current the formula can be changed as
id = (dq/dt) * [tex]\pi R^{2}[/tex] / [tex]\pi R^{2}[/tex]
id = (8) * [tex]\pi 16^{2}[/tex] / [tex]\pi 16^{2}[/tex]
id = 0.28125 C/s
magnetic field can be calculated by B = μ₀I/2πr
μ₀ = 4[tex]\pi[/tex] * [tex]10^{-7}[/tex] H/m
i = id = 0.28125 C/s
r = 3.0 cm
B = {4[tex]\pi[/tex] * [tex]10^{-7}[/tex] * 0.258125} / 2*[tex]\pi[/tex]*3*[tex]10^{-2}[/tex]
B = 1.87 T
B ≈ 2 T
The displacement current through a circular loop of radius r = 3.00 cm is 0.28125 C/s.
The magnitude of the magnetic field between the capacitor plates at a radius r = 3.00 cm from the axis of the capacitor is 2T.
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A grocery shopper tosses a(n) 8.7 kg bag of
rice into a stationary 18.1 kg grocery cart.
The bag hits the cart with a horizontal speed
of 5.3 m/s toward the front of the cart.
What is the final speed of the cart and bag?
Answer in units of m/s.
Answer:
I don't know
Explanation:
I don't know
Question 16 During a rocket launch, the action force is considered the force of explosion from the burning fuel and expanding gases. Which of the following would be considered the reaction force?
Answer:
Explanation:
The reaction force to the action force during a rocket launch would be the force exerted by the ground or launch pad on the rocket. The action force is the force of explosion from the burning fuel and expanding gases, which propels the rocket upward. The reaction force is the force exerted by the ground or launch pad in response to this action force, which keeps the rocket grounded and prevents it from moving. The action and reaction forces are equal in magnitude but opposite in direction, and they act on different objects. The action force acts on the rocket, while the reaction force acts on the ground or launch pad.
The wheel of moving car is driven by the engine. The car is accelerating in the direction
shown. In which direction does the frictional force act on the wheel?
Answer:
B
Explanation:
always opposing the forward force which is the direction of the acceleration of the car.
The kinetic energy of a 3 kg object moving at a speed of 4 m/s is: please I need it fast
Answer:
[tex]\huge\boxed{\sf K.E. = 16 \ J}[/tex]
Explanation:
Given data:Mass = m = 3 kg
Speed = v = 4 m/s
Required:Kinetic Energy = K.E = ?
Formula:[tex]\displaystyle K.E. =\frac{1}{2} mv^2[/tex]
Solution:[tex]\displaystyle K.E. =\frac{1}{2} (3)(4)^2\\\\K.E. =\frac{1}{2} (3)(16)\\\\K.E. = (2)(8)\\\\K.E. = 16 \ J\\\\\rule[225]{225}{2}[/tex]
10. An airplane is flying east at 150m/s. If the forces on the airplane add to 0, describe what will
happen to its motion.
Answer:k
Explanation:k
k
Which object had more kinetic enerjy while it was being lifted?
The object that had a mass of 4 kilograms and was lifted at a rate of 3 m/s has a greater kinetic energy.
What is the kinetic energy?We know that the kinetic energy has to do with the energy of an object that is in motion. Thus the kinetic energy is the energy that is said to be possessed by a moving object.
In the first case we have;
Kinetic energy = 1/2 mv^2 = (0.5 * 2 * 2^2)
= 4 J
In the second case;
Kinetic energy = 1/2 mv^2 = (0.5 * 4 * 3^2)
= 18 J
The second object had more kinetic energy.
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suppose that you are holding a pencil balanced on its point. if you release the pencil and it begins to fall, what will be the angular acceleration when it has an angle of 10.0 degrees from the vertical? a typical pencil has an average length of 15.0 cm and an average mass of 10.0 g . assume the tip of the pencil does not slip as it falls.
If a pencil goes from such a perfectly vertical position while maintaining its angular acceleration, the time it takes for it to hit the ground is 0.4299s.
What does the term "angular acceleration" mean?Angular acceleration is the term used to describe the temporal pace at which angular momentum varies. The formulae per cent per seconds measure unit is the norm. Therefore, = d d t. Angular velocity is also known as rotating acceleration.
What is the angular acceleration measurement unit?Angular acceleration is measured in rad/s/s, or rad/s2. If grows, then the result is good. If falls, then falls is negative.
Briefing:angular acceleration, τ = I α
Wr = I α
sin 10 = r / (L/2)
r = L/2 sin 10
A inertia moment will then occur:
I = 1/3 M L²
αf = 3/2 g / L sin 10
α = [3/2 × 9.8] / [0.150 sin10]
α = 17 rad/s²
θ = π / 2
t = √(π / α )
t = √(π / 17)
t = √3.142 / 17
t = 0.4299s
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The genetic researchers at Bay Medical Company are interested in spiders with the trait for medium silk flexibility. They think this silk can be used for medical purposes such as for making stitches and for creating artificial tendons. Why do you think offspring B has the medium silk flexibility trait?
Bay Medical Company's genetic researchers are interested in spiders with medium silk flexibility. They believe this silk can be employed in medical applications such as stitching and constructing artificial tendons.
What is the genetics of spider silk?Siblings may inherit various features from their parents and from each other depending on the specific gene combinations that each seeds carries. The variance in silk inflexibility among spider seed is explained by random gene recombination.
The inflexibility of silk is another issue. This point is shared by all of Darwin's dinghy spiders (they all have spider silk with some flexibility), yet some spiders create silk that is more flexible than other spiders' silk. There are three levels of silk inflexibility: high, medium, and low.
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Two objects, A and B, are pushed across the floor. Object B experiences a greater applied force. Which statement best describes what must be true for Object A to have a greater value of work? (2 points) Group of answer choices Objects A and B are pushed the same distance. Object B is pushed a much smaller distance. Object A is pushed a much smaller distance. Equal forces are applied to Objects A and B.
The greater value of work for object A can be true if object B is pushed at a much smaller distance. Therefore, option B is correct.
What is the work?Work can be described as the energy utilized when a force is exerted to move a body through a specific distance. The work done describes both the exerted force as well as the displacement of the object.
The action of the applied force is to move a system in a straight line in the direction of the exerted force over a distance 'd'.
W= F ×d
Where 'd' is the displacement by an object, F' is the exerted force, and W is work done.
Given the force experienced by the object B is greater than object A:
[tex]F_{B} > F_A[/tex]
Now we know that the work done only depends upon the force and distance. In order to have a greater value of the work for object A. Object B is pushed a much smaller distance than object A.
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which type of solar energy technology(s) can continue to generate electricity for a while after the sun goes down? select all that apply.
Grid-Tied Residential Solar Cells energy technique (or technology(s)) can keep producing electricity after the sun sets for a while.
How can we harness the sun's energy?Solar energy collectors and photovoltaic solar systems are two ways that human ingenuity has created to harness solar energy and convert it into electricity. A solar thermal process utilizes the heat from the sun to create steam, which powers a turbine and ultimately creates electricity.
What exactly is a solar power system?In addition to the components that convert the immediate (DC) electricity generated by modules into the ac current (AC) electricity needed to power all of the home's appliances, systems also feature mounting structures that guide panels toward the sun.
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Grid-Tied Residential Solar Cells energy technique (or technology(s)) can keep producing electricity after the sun sets for a while.
How can we harness the sun's energy?Solar energy collectors and photovoltaic solar systems are two ways that human ingenuity has created to harness solar energy and convert it into electricity. A solar thermal process utilizes the heat from the sun to create steam, which powers a turbine and ultimately creates electricity.
What exactly is a solar power system?In addition to the components that convert the immediate (DC) electricity generated by modules into the ac current (AC) electricity needed to power all of the home's appliances, systems also feature mounting structures that guide panels toward the sun.
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A green katydid looks very much like a green leaf.
If the katydid above has ten offspring, why might it be advantageous for some to be green, some yellow, and others brown?
Answer:
because they can all blend in with different surroundings
What is the efficiency of a 10 hp DC motor that draws 31 amps at 300 volts?
The efficiency of a 10 hp DC motor that draws 31 A at 300 volts is equal to 80 %.
How to calculate the efficiency of a motor?The efficiency of a motor can be calculated from the ratio of the mechanical power output to the electric power input to the motor.
Given the horsepower of the DC motor = 10 hp
Conver the hp into watt:
1hp = 745.7 W
Output power = 10 hp = 10× 745.7 = 7457 W
Input power = 31 × 300 = 9300 W
The efficiency of the motor = Output/Input ×100
Efficiency = (7457/9300) ×100 = 80 %
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In an aneurysm, the cross-sectional area of a vessel expands. With the approximation that blood is non-viscous and incompressible, and that you have a laminar flow, which one of the following is true in the expanded segment, compared to the normal vessel?
a) The velocity is higher.
b) The flow is higher.
c) The density of the blood increases.
d) The velocity is the same.
e) The density of the blood decreases.
f) None of the above.
No, if The cross-sectional diameter of a vessel increases in an aneurysm. Considering that blood is roughly non-viscous and incompressible and that there is a laminar flow,
Why do liquids not have viscosity?A non-viscous fluid is one that offers zero resistance to internal friction or has no resistance at all. A fluid is described as being viscous if there is greater flow resistance.
Which substances are viscous?Because of their high viscosity, some liquid, like pitch, glass, and peanut butter, act like solids. A liquid is referred to as "viscous" in common parlance if it has a viscosity that is clearly higher than water, and "mobile" if it has a viscosity that is noticeably lower.
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From what height above the surface of the earth should an object be dropped to initially experience an acceleration of 0.54g? (G=6.67x10^-11 N*m^2/kg^2, M-earth = 5.97x10^24kg, R-earth = 6.38x10^6m)
The height above the surface of the earth should be [tex]2.294 * 10^{6} m[/tex].
The Acceleration due to earth gravity is known as the acceleration due to gravity. It means when an object falls from a certain height towards the surface of the earth, its velocity changes. The change in velocity produces the acceleration in the object is called the gravitational acceleration
We know that acceleration due to gravity at height h is given by : [tex]g' = GM/(R+h)^{2}[/tex]
Where, G = gravitational constant = [tex]6.67 * 10^{-11}[/tex]
M = mass of earth = [tex]5.97 * 10^{24} kg\\[/tex]
R = radius of earth = [tex]6.38 * 10^{6} m[/tex]
h = height
Given g' = 0.54
Putting these values in above equation we get h = [tex]2.294 * 10^{6} m[/tex]
i.e. to experience an acceleration of 0.54g , the object should be at [tex]2.294 * 10^{6} m[/tex] above the earth's surface.
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which statement is true about an object that is traveling in uniform circular motion? group of answer choices the net force on the object is directed away from the center of the circular path.
The statement that is true about circular motion is that; the net force on the object is directed toward the center of the circular path. Option D
What is the circular motion?We know that the circular motion is the kind of motion that occurs along a circular path. We know that in a circular motion, the direction of the motion is also important.
Now we know that the whirling of a stone around a circular path is one of the very typical examples of a circular motion in the context of our discussion here.
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Which statement is true about an object that is traveling in uniform circular motion? O A. The speed of the object varies. O B. The direction of the object's velocity is constant. OC. The net force on the object is directed away from the center of the circular path. O D. The net force on the object is directed toward the center of the circular path.
a 2.50-m segment of wire supplying current to the motor of a submerged submarine carries 1000 a and feels a 4.00-n repulsive force from a parallel wire 5.00 cm away. what is the direction of the current in the other wire?
The 400 A current flowing through the wire will be going the other way from the other wire.
What sort of force is repulsive?An electroscope is a straightforward instrument that consists of a metal piece protruding from a glass jar with thin metal leaves suspended inside. This design demonstrates the electrostatic repulsive force. The leaves spread apart by the Coulomb force when a charged body touches the external metal piece.
We will apply the equation to determine the current in the other wire
F/l = µ₀I₁I₂/2πr and solve it for I₂.
The other wire's current will flow in the opposite direction to the first one because the force is repulsive.
I₂ = F.2πr/µ₀I₁l
I₂ = 4×2π×0.05m/4π×10⁻⁷T.m/A×1000A×2.50m
I₂ = 400 A.
The 400 A current flowing through the wire will be going the other way from the other wire.
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how long (in s) does it take a child on a swing to complete one swing if her center of gravity is 4.54 m below the pivot?
If a child on a swing has a center of gravity 4.54 m just below pivot, it takes her T =4.05s to complete one swing.
What makes gravity a force?But in a larger sense, gravity is a force because it represents the interaction that happens when two masses are in close proximity to one another. Fundamentally, the warping of reality and the motion of entities through the stretched spacetime are what produce gravitational effects. However, the outcome appears to be the result of applying force.
How is gravity terminated?Dr. Ryan Stone, played by Sandra Bullock, returns to Earth at the end of "Gravity" and crashes into a lake. After taking off her spacesuit, Dr. Ryan swims towards the surface but initially finds it difficult to stand up straight.
Briefing:
T=2π√(l/g)
T=2π√(4.54/9.81)
T=4.052s
T =4.05s
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What is the mass of an 8oz styrofoam cup?
The mass of an 8oz styrofoam cup is approximately 227 grams .
What is the mass of a substance?The mass of a substance is a measure of the quantity of matter present in that substance,
The mass of a substance is measured with a chemical balance and is independent of gravity. The SI unit of the mass of a substance is the kilogram. kg.
Other smaller multiples of the kg include grams, milligrams, centigrams, etc.
Some other unit of measurement of the mass of a substance is ounces (oz), pounds (lb), tonnes (t), etc.
The conversion from ounces to gram is 1 oz = 28.3495 grams
Hence, 8 oz = 8 * 28.3495 grams
8 oz = 226.796 grams or approximately 227 grams
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a typical person has a surface area of about 2m^2 and a layer of fat about 1cm thick (it can vary from 0.5 cm to 1.5 cm) . estimate the rate of heat loss in watts for someone who is lightly dressed sitting in a comfortable room with a temperature of 20 c
The energy output is 714 Watts is loss.
According to the thermal conductivity equation, the rate of heat loss H is given by:
H=\swhere,
K is the heat conductivity coefficient.
A is for Area of Cross Section.
H = Heat loss rate
Temperature differential between the two sides of the body in the given situation: x-Thickness of the material 71 -1
T = 37°C, or body temperature, and 12°C, or room temperature
initial instance.
A=2m x=0.01 m
H=174watt
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What is the velocity of a football thrown?, when the mass of the football is 0.425 kg, and the momentum is + 10.1 kg.m/s?
The velocity of the football thrown is approximately 23.76 meters per second.
What is the velocity of the thrown football?Momentum is simply the product of the mass of an object and its velocity.
This is expressed as;
P = m × v
Where m is the mass of the object and v is its velocity.
Given that;
Momentum P = 10.1kgm/sMass m = 0.425kgVelocity v = ?Plug the given values into the above formula and solve for v.
P = m × v
v = P / m
v = 10.1kgm/s / 0.425kg
v = 23.76 m/s
Therefore, the velocity of the ball is 23.76 m/s.
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A woman does 236 J of work
dragging her trash can 24. 4 m to
the curb, using a force of 18. 9 N.
At what angle was her force
directed?
(Unit = degrees)
According to the given statement is the 59.21° angle was her force directed.
What is a force?The word "force" has a specific meaning in science. At this level, calling a force a shove or a pull is entirely appropriate. A charge is not really something an object "has in it" or that it "contains." One thing experiences a force from another. Living organisms or inanimate objects are not the only things that can be considered forces. Every time two items interact, a force is exerted on every one of the objects. The force is no longer felt by the two objects when the interaction ends.
Briefing:Work done = force × distance
236J = 18.9cos(o) × 24.4
236/24.4 = 18.9cos(o)
(0.5117)cos^-1 = (o)
59.21°
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what is scientific law
Answer: A scientific law describes a natural occurrence, but doesn't attempt to clarify how the event occurs. Or there is an 'if, then' statement that can be made and tested.
Answer: Scientific law are principles that are accepted by an overwhelming majority of scientists. Scientific laws or laws of science are statements, based on repeated experiments or observations, that describe or predict a range of natural phenomena.
Explanation: Hope this was helpful
A block is pushed across a 10 m rough surface quickly by a boy. Which of the following would not increase the power needed by the boy to move the block?
Question 5 options:
A .Increase the mass of the block
B. Decrease the time of the block slid
C. Increase the roughness of the surface
D. Increase the time of the block was slid
The option that would not increase the power needed by the boy to move the block is "Increase the time of the block was slid".
Option D is the correct answer.
What is the power applied by the boy?The power applied by the boy to push the block across the 10 m rough surface is the measure of the energy expended over a given time interval.
Mathematically, the power applied by the boy is given as;
P = E/t
where;
E is the energy expended by the boyt is the time over which the boy applies the forceP = (F x d)/t
where;
F is the applied forced is the displacement of the blockAccording to Newton's second law of motion, the applied force is given as;
F = ma
P = (ma x d) / t
where;
m is the mass of the blocka is the acceleration of the blockd is the displacement of the blockt is time of motionFrom the formula above, the following will increase the power needed by the boy to move the block.
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determine the rms current, the average power dissipated by the resistor, and the maximu voltage of the capacitor
The RMS current , Power and Maximum voltage have values 0 to 1 , V1/2 to 0 and infinity to zero.
The triangle's vertical side will be significantly longer than its horizontal side if reactance dominates a circuit, and will be close to 90° as a result. This is in line with what is understood about purely reactive circuits, which produce a 90° phase difference between voltage and current.The horizontal side will be much longer than the vertical side if resistance dominates the circuit. In light of this, the value of will be very small, just as there is very little phase shift between voltage and current in a nearly entirely resistive circuit.As cosx varies from 1 to zero (corresponding to that varies from 0° to 90° or -90°), average power varies from (VI)/2 to zero.Therefore, it should come as no surprise that the cosine of —whether you choose to refer to as the impedance angle, the angle between active power and complex power, or the phase difference between voltage and current—is referred to as the power factor. To calculate the average power lost by a circuit, multiply the power factor by (VI)/2. A power factor that is closer to zero indicates that reactive power makes up a larger portion of the circuit's total power.To know more about power -
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calculate the angular velocity of a 30 cm radius car tire when the car travels at 30.0 m/s (about 54 km/h).
The angular velocity of a car tire is 1 rad/s.
What is angular velocity?
Angular velocity is the speed at which the angle between two bodies changes when an object rotates or revolves around an axis. This displacement is depicted in the image by the angle formed by a line on one body and a line on the other.
We know,
Angular velocity = ω = [tex]\frac{V}{R}[/tex]
Given,
V = 30 m/s
R = 30 cm
Putting values in the formula
ω = [tex]\frac{30}{30}[/tex] rad/s
= 1 rad/s.
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I energy ever created or detroyed? Why or why not? How doe thi relate to a roller coater
The energy can neither be created nor destroyed. It can be transformed from one form to another.
The law of conservation of energy states that, the total energy of an isolated system remains constant and it is said to be conserved over time. This means that the system always has the same amount of energy unless added from outside.
In the above question, it is asked if law of conservation of energy can be applied on a roller coaster. The answer is yes. On a roller coaster, energy changes from potential to kinetic and back again repeatedly over and over the course of the ride.
The two forms of energy which are important on a roller coaster are gravitational potential energy and kinetic energy. The roller coaster has the greatest amount of potential energy at the top of the first hill as it is the highest point of the roller coaster.
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what tangential velocity must block a have so that block b remains at the same height under the table?
The tangential velocity must block a have so that block b remains at the same height under the table is rw.
Any object moving in a circular motion has a linear speed known as tangential velocity. One full rotation of a turntable will move a point farther from the outside edge than it will from the center. At any point in time, the velocity of a body traveling along a circular path at a distance r from the center is directed tangentially. Tangential velocity is the term used to describe this. In other words, the tangential velocity is always equal to the linear velocity.[tex]Vtan=Rw\\\\R=path\\\\w=angular- velocity\\\\Vtan=Tangential-Velocity[/tex]
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A solid sphere of radius R is placed at a height of 40 cm on a 15∘ slope. It is released and rolls, without slipping, to the bottom.From what height should a circular hoop of radius R be released on the same slope in order to equal the sphere's speed at the bottom?
A solid sphere of radius R is placed at a height of 40 cm on a 15∘ slope. It is released and rolls, without slipping, to the bottom. A circular hoop of radius R be released on the same slope in order to equal the sphere's speed at the bottom with height of 57.14 cm
The height that a circular hoop should be released can be calculate as follows:
Generally the equation for the potential energy of the sphere is mathematically given as
mgh= 1/2Iw² =1/2 mv²
where,
inertia of sphere
I = 2/5 mr²
and
angular velocity
w = v/r
therefore, we can input inertia of sphere and angular velocity to potential energy equation
mgh= 1/2Iw² =1/2 mv²
mgh = 1/2 ( 2/5mr²) ((v/r)² + 1/2mv²
mgh = 1/2 ( 2/5(v/r)²mr²) + 1/2mv²
mgh = 1/5 mv² + 1/2 mv²
mgh = 7/10 mv²
v² = 10gh
7
generally the equation for the inertia of circle of sphere is mathematically given as
I = mr²
mgh = mv²
h = v²/g
therefore h = 10gh/7
g
h = 57.14 cm
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If the swimmer starts at rest, slides without friction, and descends through a vertical height of 2.41 m
, what is her speed at the bottom of the slide?
Answer:
6.88 m/s
Explanation:
The Conservation of Energy states that:
Initial Kinetic Energy + Initial Potential Energy = Final Kinetic Energy + Final Potential Energy
So we can write
[tex]mgh_{i}+\frac{1}{2}mv_{i} ^{2}=mgh_{f}+\frac{1}{2}mv_{f} ^{2}[/tex]
We can cancel the common factor of [tex]m[/tex] which leaves us with
[tex]gh_{i}+\frac{1}{2}v_{i} ^{2}=gh_{f}+\frac{1}{2}v_{f} ^{2}[/tex]
Lets solve for [tex]v_f[/tex]
[tex]gh_{i}+\frac{v_{i} ^{2}}{2}=gh_{f}+\frac{v_{f} ^{2}}{2}[/tex]
Subtract [tex]gh_f[/tex] from both sides of the equation.
[tex]gh_{i}+\frac{v_{i} ^{2}}{2}-gh_{f}=\frac{v_{f} ^{2}}{2}[/tex]
Multiply both sides of the equation by 2.
[tex]2(gh_{i}+\frac{v_{i} ^{2}}{2}-gh_{f})={v_{f} ^{2}[/tex]
Simplify the left side.
Apply the distributive property.
[tex]2(gh_{i})+2\frac{v_{i} ^{2}}{2}+2(-gh_{f})={v_{f} ^{2}[/tex]
Cancel the common factor of 2.
[tex]2gh_{i}+v_{i} ^{2}-2gh_{f}={v_{f} ^{2}[/tex]
Take the square root of both sides of the equation to eliminate the exponent on the right side.
[tex]{v_{f}=\sqrt{2gh_{i}+v_{i} ^{2}-2gh_{f}}[/tex]
We are given [tex]g,v_{i},h_{i},h_{f}[/tex].
We can now solve for the final velocity.
[tex]{v_{f}=\sqrt{(2*9.81*2.41)+(0^{2})-(2*9.81*0)[/tex]
Anything multiplied by 0 is 0.
[tex]{v_{f}=\sqrt{2*9.81*2.41[/tex]
[tex]{v_{f}=\sqrt{47.2842[/tex]
[tex]v_f=6.88[/tex]