Answer:
Every magnet has both a North and a South pole. When you place the North pole of one magnet near the South pole of another magnet, they are attracted to one another. When you place like poles of two magnets near each other (North to North or South to South), they will repel each other.
Answer:
All magnets, regardless of their shape or application, must have two poles, the north pole (N) and the south pole (S), which are called magnetic poles.
Explanation:
Magnets are ferromagnetic materials that have the property of attracting or repelling other magnets. In addition, it is characteristic for materials of this nature (ferromagnetic) to be strongly magnetized in the presence of a magnetic field.
All magnets, regardless of their shape or application, must have two poles, the north pole (N) and the south pole (S), which are called magnetic poles. Another important characteristic of magnets is the inseparability of the magnetic poles, that is, it is not possible to find a magnet with only the north pole or only with the south pole. Thus, when a magnet is broken, it will give rise to two new magnets and the polarity of these new magnets will depend on the way in which it partitioned.
During a workout, a football player pushes a blocking dummy a distance of 30 m. While pushing the dummy the same distance a second time, what would the player need to change to be certain that power output increases?
Explanation:
Power = work / time
Work = force × distance
Therefore:
Power = force × distance / time
Since the distance is the same, he would have to either increase the force he exerts or decrease the time (increase his velocity) in order to increase the amount of work done.
Answer:
The correct answer is B) The player would need to use a greater force and take less time.
Explanation:
hope this helps :)
can i get brainliest plz
A baseball is launched straight up (vertically) next to a tall building with an initial velocity of 30.0 m/s[up]. The ball continues upward to a stop, and then falls until caught by a player leaning out of a window 14.0 m above the ground. How long is the ball in the air before the player catches it?
Answer:
5.61 seconds
Explanation:
Given:
y₀ = 0 m
y = 14.0 m
v₀ = 30.0 m/s
a = -9.8 m/s²
Find: t
y = y₀ + v₀ t + ½ at²
14 = 0 + 30t − 4.9t²
4.9t² − 30t + 14 = 0
Solve with quadratic formula:
t = [ -b ± √(b² − 4ac) ] / 2a
t = [ 30 ± √(900 − 274.4) ] / 9.8
t = 0.509, 5.61
t = 0.509 is the time when the ball first reaches the height of 14.0 meters on the way up. t = 5.61 is the time when the ball reaches the height of 14.0 meters on the way down.
Since we know the ball reaches its maximum height and begins falling again, we want the second time. t = 5.61 seconds.
A force of 32.5N stretches a spring of 0.500cm. What force will stretch a similar spring 1.60 cm?
Answer:
104 N
Explanation:
Calculate the spring stiffness:
F = kx
32.5 N = k (0.500 cm)
k = 65 N/cm
Find the force for the new length:
F = kx
F = (65 N/cm) (1.60 cm)
F = 104 N
A _________ is a satellite or other spacecraft designed to explore space and transmit data back to Earth.
Answer:
Space Probe
Explanation:
It is actually a type of satellite to explore space considering the useful dimensions for discoveries and observations that are useful for existence of life. It collects data and returns back to the base with records that are purpose of flight.
The Voyager is a designed robotic spacecraft as a part of space technology to explore space and sends data to Earth.
Explanation:
The voyager has been designed as an integral part of the space program known as the VOYAGER, which explores space. This program has been launched into the space by the NASA.
The satellite has been communicating and sending various space informational data to the space information base positioned in NASA known by the name of DEEP SPACE NETWORK. This program was launched in the year of 1977.
which letter represents the wavelength of the wave?
A: a
B: b
C: c
D: d
Answer:
D
Explanation:
Shows the distance between each new wave.
The letter in the image, that represents the wavelength or the distance traveled by the wave is letter d.
What is wavelength?The wavelength of a wave is the distance traveled by the wave. This distance can be from one crest to another or from crest of a wave to the trough of a wave.
When the distance is between two successive crest or trough, it becomes one wavelength.
From the given image, the letter that represents the wavelength of the wave is letter d.
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What happens to incoming light rays that are parallel to the principal axis of a convex lens? A. They converge at the focal point. B. They diverge away from the principal axis. C. They converge beyond the focal point. DO. They diverge from the focal point.
Answer:
D. They diverge from the focal point.
Explanation:
Incoming light rays diverge from the focal point is they are parallel to the principal axis of a convex lens.
Answer:
They diverge from the focal point.
Explanation:
A convex lens is also called as converging lens. If the rays of light are parallel to the principal axis of a convex lens, it passes through the focal point of the lens.
For a converging lens, the ray of light diverge from the focal point of the lens. The image formed by a convex lens is real and inverted. When the object is placed between the focus and the optical center, the image is virtual and erect.
So, the correct option is (d) "They diverge from the focal point".
3.
A traffic light is suspended by two cables. What
should be the angle between the cables (0) so that the
tension in each cable will be equal to the weight of the
traffic signal light (W=T, = T)?
Answer:
120°
Explanation:
Draw a free body diagram. There are three forces acting on the traffic light. Two tension forces acting along the cables, and weight.
The tension forces have an angle θ between them. That means each tension force forms an angle of θ/2 with respect to the vertical. So the y component of each tension force is:
Ty = T cos (θ/2)
Sum of the forces in the y direction:
∑F = ma
Ty + Ty − W = 0
2 Ty = W
Substituting:
2 T cos (θ/2) = W
If W = T, then:
2 W cos (θ/2) = W
2 cos (θ/2) = 1
cos (θ/2) = 1/2
θ/2 = 60°
θ = 120°
The angle between the cables Ф so that the tension in each cable will be equal to the weight of the traffic signal light is 120°
Let
Ф = the angle between the cables.T = the tension in cable 1, T' = the tension in cable 2 and W = the weight of the traffic lightNow, the angle between the tension and the vertical is α = Ф/2.
Net force on vertical force on traffic lightThe net force vertical force on the traffic light is F = Tcosα + T'cosα - W
Since the traffic light is in equilibrium, we have that F = 0
So, F = Tcosα + T'cosα - W
Tcosα + T'cosα - W = 0
Tcosα + T'cosα = W
Now, since the tension in each cable equals the weight of the traffic light, T = T' = W.
So, Tcosα + T'cosα = W
Wcosα + Wcosα = W
2Wcosα = W
cosα = W/2W
cosα = 1/2
α = cos⁻¹(1/2)
α = 60°
Angle between the cablesSince α = Ф/2
Ф = 2α
Ф = 2(60°)
Ф = 120°
So, the angle between the cables Ф so that the tension in each cable will be equal to the weight of the traffic signal light is 120°
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Sierra did 500 J of work to move her couch. If she exerts 250 N of force on the couch, how far did she move it?
Answer:
2 m
Explanation:
Work = force × distance
500 J = 250 N × d
d = 2 m
She moved the couch 2 meters.
Gravity is the force that keeps us on the Earth. It pulls us towards the center of the Earth. If you were to move from the surface of the Earth to a point higher up, away from the Earth, what type of energy would be gained? A. Chemical potential energy B. Gravitational potential energy C. Gravitational kinetic energy D. Kinetic potential energy
Explanation:
The gravitational potential energy is the energy that a body or object possesses, due to its position in a gravitational field.
That is why this energy depends on the relative height of an object with respect to some point of reference and associated with the gravitational force.
In the case of the Earth, in which the gravitational field is considered constant, the value of the gravitational potential energy [tex]U_{p}[/tex] will be:
[tex]U_{p}=mgh[/tex]
Where [tex]m[/tex] is the mass of the object, [tex]g[/tex] the acceleration due gravity and [tex]h[/tex] the height of the object.
As we can see, the value of [tex]U_{p}[/tex] is directly proportional to the height.
3. A nail salon has looked up the melting and boiling point of alcohol (ethyl). This means there's enough energy to change the state of matter. This change where a switches states is known as the
A. freezing point.
B. critical temperature.
C. fusion point.
D. condensation point.
Explanation:
critacal temperature
Why is Earth considered to be an inner planet?
A- It is located between the sun and the Kuiper Belt.
B- It is located between the sun and the main asteroid belt.
C- It is the closest planet to the main asteroid belt.
D- It is the closest planet to the sun.
Earth is considered an inner planet because it lies between the Sun and the main asteroid belt, along with the other terrestrial planets Mercury, Venus, and Mars.
Explanation:Earth is considered to be an inner planet because it is located between the sun and the main asteroid belt. This asteroid belt is the region of the solar system between the orbits of Mars and Jupiter, where most asteroids are found. Earth, along with Mercury, Venus, and Mars, falls into the category of terrestrial or inner planets, which are closer to the Sun and primarily composed of rock and metal with solid surfaces that have geological features.
Correct answer to the student's question: B- It is located between the sun and the main asteroid belt.
the pressure of 20cm of mercury is a.27200 n/m2 b.27500n/m2 c.28000n/m2 d.29000n/m2
Answer:
im note too sure
Explanation:
please ask again later
some fuel cells are powered by hydrogen scientists are looking into the decomposition of water to make hydrogen fuel with the help of the sun's energy what challenge do scientists face with this task
A) Decomposing water requires high activation energy
B) The sun isn't a renewable resource
C) Decomposing water results in toxic byproducts
D) Scientists are uncertain what to do with the excess oxygen
Answer:
A) Decomposing water requires high activation energy
Explanation:
The sun is a renewable resource, because the solar energy we use is less than the solar energy being created. Decomposing water produces hydrogen gas and oxygen gas, which aren't toxic. The oxygen is used in the combustion of the hydrogen gas. However, splitting water molecules into hydrogen and oxygen takes a lot of energy.
Answer:
A Decomposing water requires high activation energy
Explanation:
Chris is about to do an experiment to measure the density of water at several temperatures. His teacher has him prepare and sign a safety contract before beginning the experiment.
Which item is most likely part of the safety contract?
The safety contract will include basic lab safety guidelines such as:
Remove all flammable materials from the work station. Avoid leaving the heating set-up unattended. Fold long sleeves, tie back long hair, remove all accessories that may catch on fire. Wear proper lab attire.Avoid horse-playing in the lab.Report any injuries to the teacher, no matter how minor, as soon as possible. Avoid working alone inside the lab. Make sure you are aware of the location of the safety equipment and features of the lab especially the first aid kit, fire exit, fire blanket, and fire extinguisher.Follow instructions carefully.Dispose materials properly.Report any faulty equipment as soon as possible.Avoid touching hot surfaces with bare hands. Wash all used glassware.Keep workstation clean and tidy to avoid accidents.Avoid eating and drinking inside the lab.Put away unnecessary things. Only materials needed for the investigation must be on the workstation.Further Explanation:
In his safety contract, Chris will find statements that has him agreeing that he will behave appropriately inside the lab especially since they will be working with an open fire (Bunsen burner) or a heating equipment (hot plate) to change the temperature of the water. Proper behavior and basic expectation inside a lab are in the items listed above.
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Answer:
th
Explanation:
Use the data provided to calculate the gravitational potential energy of each cylinder mass. Round your answers to the nearest tenth.
3 kg: ____kJ
6 kg: ____kJ
9 kg: ____kJ
Answer: 14.7kJ, 29.4kJ, 44.1kJ
Explanation:
The gravitational potential energy is the energy that a body or object possesses, due to its position in a gravitational field.
In the case of the Earth, in which the gravitational field is considered constant, the value of the gravitational potential energy [tex]U_{p}[/tex] will be:
[tex]U_{p}=mgh[/tex]
Where [tex]m[/tex] is the mass of the object, [tex]g=9.8m/s^{2}[/tex] the acceleration due gravity and [tex]h=500m[/tex] the height of the object.
Knowing this, let's begin with the calculaations:
For m=3kg
[tex]U_{p}=(3kg)(9.8m/s^{2})(500m)[/tex]
[tex]U_{p}=14700J=14.7kJ[/tex]
For m=6kg
[tex]U_{p}=(6kg)(9.8m/s^{2})(500m)[/tex]
[tex]U_{p}=29400J=29.4kJ[/tex]
For m=9kg
[tex]U_{p}=(9kg)(9.8m/s^{2})(500m)[/tex]
[tex]U_{p}=44100J=44.1kJ[/tex]
if the ball rises with a force of 150 N, what pressure did the patient apply to his side of the tube?
The following formula relates applied force to pressure:
P = F/A
P is the pressure, F is the applied force, and A is the area over which the force is applied.
Unfortunately we cannot calculate the pressure if we don't know the area of contact between the ball and the tube.
a bike can climb the inclined road at uniform speed of 72 km/hr by applying force 500N what will be the power applied by the bike ?
Answer:
10 kW
Explanation:
First convert km/hr to m/s.
72 km/hr × (1000 m / km) × (1 hr / 3600 s) = 20 m/s
The power is:
P = Fv
P = (500 N) (20 m/s)
P = 10000 W
P = 10 kW
The power applied by the bike is 10 kW.
The power applied by the bike climbing the inclined road at a constant speed with a force of 500 N is calculated as 10000 watts or 10 kW using the formula Power = Force x Velocity.
The problem at hand involves calculating the power applied by a bike when it ascends an inclined road at a uniform speed while applying a force. To find the power, we need to use the formula for power in the context of mechanical systems, which is Power (P) = Force (F) × Velocity (v). Here, force is given as 500 N and the velocity can be converted from 72 km/hr to meters per second (m/s) by multiplying it with (1000 m/km) / (3600 s/hr), which gives us 20 m/s.
Therefore, the power applied by the bike is P = 500 N × 20 m/s = 10000 watts or 10 kW.
This is the instantaneous power delivered by the force that the bike exerts on the road to overcome resistant forces like friction and air resistance while moving uphill. It's important to note that the power can change if any of the variables, such as speed or the force, change.
Hybrid seeds are deliberately crossbred for particular traits, such as growth pattern or disease resistance. They have been hand-pollinated and are patented, often sterile, and genetically identical within food types. These plants are usually grown in a monocultural environment and are cultivated for mass production and sale. They must be sturdy to withstand mechanical picking and cross-country shipping. They do not compare to the quality and taste of heirloom plants, but they do produce large, healthy fruit that appeals to most shoppers. Unlike heirloom seeds, if one saves a hybrid seed, one will not get the same plant again.
Which statement can be removed and not affect the excerpt’s reliability?
Answer:
Unlike heirloom seeds, if one saves a hybrid seed, one will not get the same plant again.
Explanation:
The statement that can be removed without affecting the reliability of overall paragraph is, "unlike heirloom seeds, if one saves a hybrid seed, one will not get the same plant again". This is because even if we remove this line, the paragraph still looks completely understandable, reliable and in a flow.
If we talk about hybrid plants, we know that they are produced through cross pollination of the crops with desired traits. Although they are sterile and cannot produce offspring, however the plants which are raised from these seeds are edible and quite healthy. This is why these plants have better yield and a better resistance against environmental constraints like diseases and stresses. After the production, hybrid seeds are stored and they are able to produce plants of similar types.
Hope it helps!
Answer:
C on edg
Explanation:
A 225 kg block is pulled by two horizontal forces. The first force is 178 N at a 41.7-degree angle and the second is 259 N at a 108-degree angle. What is the x and y component of the total force acting on the block?
Answer:
52.9 N, 364.7 N
Explanation:
First of all, we need to resolve both forces along the x- and y- direction. We have:
- Force A (178 N)
[tex]A_x = (178 N)(cos 41.7^{\circ})=132.9 N\\A_y = (178 N)(sin 41.7^{\circ})=118.4 N[/tex]
- Force B (259 N)
[tex]B_x = (259 N)(cos 108^{\circ})=-80.0 N\\B_y = (259 N)(sin 108^{\circ})=246.3 N[/tex]
So the x- and y- component of the total force acting on the block are:
[tex]R_x = A_x + B_x = 132.9 N - 80.0 N =52.9 N\\R_y = A_y + B_y = 118.4 N +246.3 N = 364.7 N[/tex]
Answer:
x: 52.9
y: 364.7
Explanation:
identify the type of synthetic material used in each object. is it alloy, ceramic, polymer?
tuba -
paper -
Pot -
Answer: tuba- alloy
paper-polymer
pot- ceramic
Explanation:
Answer:
Tuba - Alloy
Paper - Polymer
Pot - Ceramics
Explanation:
Alloy : An alloy is a substance which made up of two more than two types of metal.It is uniform solid substance. For example : brass, steel etc
Ceramics: Articles , figures made up of clay which are hardened by the action of heating. For example : pots, crockery etc.
Polymer: These are the substance composed repeating units of of same chemical units which held together by covalent bonds.The single chemical unit is known as monomer. For example : plastic , rubber etc.
Tuba is an musical instrument similar made up of brass. And brass is an alloy of copper and zinc. Hence, an alloy.
Paper is majorly made up of wood pulp.And Wood pulp consists cellulose which is a polymer of glucose molecule.Hence, polymer.
Pot is made up of clay and heated to hardened them.Hence, ceramics.
2 Points
What was a Democratic Party argument against the building of transportation
systems by the federal government?
O
A. The plan would result in the loss of farming jobs.
O
B. The plan would result in the loss of city jobs.
O
C. The plan would result in domination of the country by special
interests.
O
D. Only state governments could afford the large costs of the plan.
S
Answer:
The plan would result in domination of the country by special interests. - C.
A student drives her car at 54.0 km/h along a level (horizontal) curve. The combined mass of the car is 1250 kg. If the
curve has a radius of 70.0 m, what centripetal force must be supplied by friction to keep the car from skidding?
Answer:
4020 N
Explanation:
First convert km/h to m/s.
54.0 km/h × (1000 m / km) × (1 h / 3600 s) = 15.0 m/s
Sum of the forces in the radial direction:
∑F = ma
F = m v² / r
F = (1250 kg) (15.0 m/s)² / 70.0 m
F ≈ 4020 N
Starting from rest on a frictionless floor you move 160 kg crate accelerated by a net force of 60N applied for 4s. Enter units for acceleration as m/s^2.
What is the acceleration of the crate from Newton’s 2nd law?
If it starts from rest, how far does it travel in time of 4 s?
How much work is done by the 60N net force?
What is the velocity of the crate at the end of 4s?
What is the kinetic energy of the crate at this time?
1. Acceleration: [tex]0.375 m/s^2[/tex]
Newton's second law states that the net force on an object is equal to the product between the object's mass and its acceleration:
F = ma
where
F is the net force
m is the mass
a is the acceleration
For the crate in this problem we have
F = 60 N
m = 160 kg
Re-arranging the equation, we can find the acceleration of the crate:
[tex]a=\frac{F}{m}=\frac{60 N}{160 kg}=0.375 m/s^2[/tex]
2. Distance: 3 m
For this problem we can use the following SUVAT equation:
[tex]S=ut+\frac{1}{2}at^2[/tex]
where
S is the distance travelled by the crate
u = 0 is the initial velocity, since it starts from rest
t = 4 s is the time elapsed
[tex]a=0.375 m/s^2[/tex] is the acceleration
Substituting all numbers into the equation,
[tex]S=0+\frac{1}{2}(0.375)(4)^2=3 m[/tex]
3. Work done: 180 J
The work done by a force, assuming that the force is parallel to the displacement of the object, is given by
W = F d
where
W is the work done
F is the magnitude of the force
d is the displacement
Here we have
F = 60 N
d = 3 m
So the work done is
[tex]W=(60 N)(3 m)=180 J[/tex]
4. Final velocity: 1.5 m/s
The final velocity of the crate can be found by using the following SUVAT equation:
[tex]v^2 = u^2 +2ad[/tex]
where here
u = 0 is the initial velocity
[tex]a=0.375 m/s^2[/tex] is the acceleration
d = 3 m is the distance covered
Substituting all the numbers that we have, we found:
[tex]v=\sqrt{u^2 +2ad}=\sqrt{0^2+2(0.375)(3)}=1.5 m/s[/tex]
5. Kinetic energy: 180 J
The kinetic energy of an object is given by
[tex]K=\frac{1}{2}mv^2[/tex]
where
m is the mass of the object
v is the velocity
Here we have
m = 160 kg is the mass of the crate
v = 1.5 m/s is its final velocity
So the kinetic energy of the crate is
[tex]K=\frac{1}{2}(160)(1.5)^2=180 J[/tex]
the initial velocityof a particle along x axis is u at t=0 x=0 and its acceleration is given by a =2x then whats the correct equation for v^2= u^2 +2as
Answer:
v² = u² + 2x²
Explanation:
v² = u² + 2as is only valid for constant acceleration. Here, the acceleration is a function of position. We can find the function of velocity by integrating. Acceleration is the derivative of velocity with respect to time:
a = 2x
dv/dt = 2x
Apply chain rule:
dv/dt = dx/dt × dv/dx
dv/dt = v × dv/dx
Therefore:
v dv/dx = 2x
Separate the variables and integrate:
v dv = 2x dx
½ v² |ᵤᵛ = x² |₀ˣ
½ (v² − u²) = x²
v² − u² = 2x²
v² = u² + 2x²
12. A boy of mass 50 kg running 5m/s jumps on to a 20kg trolley
travelling in the same direction at 1.5m/s. Find their common
velocity. Assume that there is no external unbalanced force
working in the horizontal direction.
Answer:
4 m/s
Explanation:
Momentum is conserved.
m₁ v₁ + m₂ v₂ = (m₁ + m₂) v
(50)(5) + (20)(1.5) = (50 + 20) v
v = 4
The final velocity is 4 m/s.
A man holding 7N weight moves 7m horizontal and 5m vertical , find the work done
The work done by the man is 35 joules. This work is only done in the horizontal direction because work is the product of force and displacement in the direction of the force.
Work done is calculated by the formula Work (W) = Force (F) imes Distance (d) imes cos( heta), where heta is the angle between the force and the direction of the displacement. Since the force is in the horizontal direction and the displacement is also horizontal, heta is 0 degrees and therefore, cos( heta) = 1. For the vertical movement, the force exerted by the man does not contribute to the work done on the weight since the displacement is perpendicular to the force applied. Hence, the work done while moving vertically is zero. The total work done is then the sum of the work done horizontally and vertically, which is 35 joules + 0 joules = 35 joules.
What is the resistance of a circuit with a voltage of 10 volts (V) and a current of 5 amps (A)? Use Ohm’s law to calculate the resistance.
Answer: 2Ω
Explanation:
V = IR
R = V/I
R = 10/5 = 2Ω
Hope it helped!
11. If a bar magnet's neutral region is broken in two, what will most likely occur?
Answer:
When the neutral point of a magnet is broken into two each part gains polarity opposite to each other. This is because the broken parts of this magnet become a complete magnet as the Original magnet with complete poles N and S.
When the neutral region of a bar magnet is broken into two, the broken two parts of the magnet becomes a whole magnet in itself, that is from one magnet, two new magnets are formed.
Explanation:
The neutral region exists in the mid of the magnet as the magnet is only polarized at the end on whole. Thereby the broken pieces on its ends acquires the polarity on the two end sides.
This occurs in both the broken parts. With the acquirement of the polarity, one side becomes the North Pole and the other side becomes the South pole. Therefore, the broken bar magnets becomes a magnet in itself.
A satellite with a mass of 5.6 E 5 kg is orbiting the Earth in a circular path. Determine the satellite's velocity if it is orbiting at a distance of 6.8 E 5 m above the Earth's surface. Earth's mass = 5.98 E 24 kg; Earth's radius = 6.357 E 6 m.
6,800 m/s
7,200 m/s
7,500 m/s
7,900 m/s
Answer:
7500 m/s
Explanation:
Centripetal acceleration = gravity
v² / r = GM / r²
v = √(GM / r)
Given:
G = 6.67×10⁻¹¹ m³/kg/s²
M = 5.98×10²⁴ kg
r = 6.8×10⁵ + 6.357×10⁶ = 7.037×10⁶ m
v = √(6.67×10⁻¹¹ (5.98×10²⁴) / (7.037×10⁶))
v = 7500
The orbital velocity is 7500 m/s.
The orbital velocity is 7500 m/s.
What is orbital velocity ?Orbital velocity is defined as the minimum velocity a body must maintain to stay in orbit.
Given
h = 6.8 E 5 m = 6.8 * [tex]10^{5}[/tex] m
mass of satellite = 5.6 * [tex]10^{5}[/tex] kg
Earth's mass : m(e) = 5.98 E 24 kg
Earth's radius ; R(e) = 6.357 E 6 m
orbital velocity :v(orbiting ) = [tex]\sqrt{Gm(e) / R(e) + h}[/tex]
R(e) + h = 6.8×10⁵ + 6.357×10⁶ = 7.037×10⁶ m
v = √(6.67×10⁻¹¹ * (5.98×10²⁴)) / (7.037×10⁶))
v = 7500 m/s
The orbital velocity is 7500 m/s.
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I will make you brainliest! Very Easy question!!!!
How can you define synthetic material and natural material?
Answer:
Synthetic Materials are man-made; natural materials are only warmer than synthetic materials, if the natural material is obtained from an animal. Wool is warmer than any synthetic material available, but polyester (a synthetic material) can be warmer than cotton (a natural plant-based material).