Answer: The final velocity will be 30 m/s
Explanation:
[tex]v_{i} = 10 m/s\\a = 2.0m/s^{2} \\t = 10s\\v_{f} = ?\\\\a = \frac{v_{f} - v_{i}}{t} \\2.0 = \frac{v_{f} - 10}{10} \\20 = v_{f} - 10\\v_{f} = 30[/tex]
Answer:
30 m/s
Explanation:
[tex]\boxed{\begin{array}{c} \text{\underline{The Constant Acceleration Equations (SUVAT)}}\\\\\begin{aligned}v&=u+at\\\\s&=ut+\dfrac{1}{2}at^2\\\\ s&=\left(\dfrac{u+v}{2}\right)t\\\\v^2&=u^2+2as\\\\s&=vt-\dfrac{1}{2}at^2\end{aligned}\end{array}}[/tex]
[tex]\boxed{\begin{minipage}{9 cm}s = displacement in m (meters)\\u = initial velocity in m/s (meters per second)\\v = final velocity in m/s (meters per second)\\a = acceleration in m/s$^{2}$ (meters per second per second)\\t = time in s (seconds)\\\\When using SUVAT, assume the object is modeled\\ as a particle and that acceleration is constant.\end{minipage}}[/tex]
Given:
u = 10 m/sv = a = 2.0 m/s²t = 10 sSubstitute the given values into v = u + at and solve for v:
[tex]\begin{aligned}v & = u+at\\\implies v & = 10 + 2(10)\\& = 10 + 20\\& = 30\; \sf m/s\end{aligned}[/tex]
Therefore, the final velocity of the vehicle is 30 m/s.
You drive a car 1500 ft to the east, then 2500 ft to the north. if the trip took 3.0 minutes, what were the direction and magnitude of your average velocity?
The velocity of the car was 4.93m/s and the direction was northeast.
CalculationIt is given,
time of the trip = t = 3 minutes = 180 seconds
1st distance A = 1500ft = 457.2m east
2nd distance B = 2500ft = 762m north
We are asked to find the average velocity.
First, we get the resultant distance magnitude by applying Pythagoras theorem to find the hypotenuse.
[tex]A^{2} + B^{2} =C^{2} \\C=\sqrt[]{A^{2} +B^{2} } \\C=\sqrt{457.2^{2} +762^{2} } \\C= 888.63m[/tex]
Then we have
Velocity = Distance/time
Velocity = 888.63/180
Velocity = 4.93 m/s
Then the direction is northeast.
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A ladybug crawls up the wall, moving 1 meter in 10 seconds. What is the ladybug's average velocity? show your setup, work, signs, and units. Explain your answer.
The average velocity of ladybug crawling up the wall, v = 0.1 m/s.
Equation :To find average velocity using the formula,
v = dx / dt
where,
v is average velocity
dx is distance
dt is time
So, putting the values
We have,
v = 1m / 10s
v = 0.1 m/s
What is average velocity?The difference between the change in position or displacement (x) and the time intervals (t) during which the displacement occurs is known as average velocity. Depending on how the displacement is displaced, the average velocity may be positive or negative. Meters per second (m/s or ms-1) is the standard international unit for average velocity.
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A force F has components Fx = 100 Newtons, and Fy= 153.2 Newtons. Express F in terms of unit
vectors and find its magnitude and angle
The magnitude of the unit vector of the forces is 182.92 N and the direction is 56.87⁰.
What is a unit vector?A unit vector is a type of quantity that has both magnitude and direction.
A unit vector can also be described as a single vector that can represent two vectors in terms of magnitude and direction.
What is resultant vector?A resultant vector is defined as a single vector that produces the same effect as is produced by a number of vectors collectively.
The unit vector of the two forces is calculated as follows;
R² = Fx² + Fy²
where;
Fx is the force in horizontal directionFy is the force in vertical directionR is the resultant vectorR = √( Fx² + Fy²)
R = √( 100² + 153.2²)
R = 182.95 N
What is the direction of the vector?The direction of the vector is calculated as follows;
θ = arc tan (Fy/Fx)
θ = arc tan (153.2 / 100)
θ = 56.87⁰
Thus, the magnitude of the unit vector of the forces is 182.92 N and the direction is 56.87⁰.
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How does a chef use science.
Answer:by cooking
Explanation: because he use energy and everything like transfer
What is the magnitude of the electric field e(r) at a distance r>rb from the center of the ball?
The magnitude of the electric field e(r) at a distance r>rb from the center of the ball is [tex]E = p \frac{r_{b}^{3} }{3E_{0} r^{2} }[/tex].
Gauss's law, often referred to as Gauss's flux theorem, is a principle of physics and electromagnetic that establishes a connection between the distribution of electric charge and the consequent electric field.
Applying gauss law,
[tex]E = \frac{q}{E_{0}(4\pi R^{2}) }[/tex]
[tex]q =p(\frac{4}{3} \pi r_{b}^{3} )[/tex]
Now, plugging in the values of [tex]q =p(\frac{4}{3} \pi r_{b}^{3} )[/tex] in the equation: [tex]E = \frac{q}{E_{0}(4\pi R^{2}) }[/tex]
[tex]E = \frac{p(\frac{4}{3}\pi r_{b} ^{3}) }{E_{0}(4\pi R^{2}) }[/tex]
[tex]E = p \frac{r_{b}^{3} }{3E_{0} r^{2} }[/tex]
Therefore, the magnitude of the electric field e(r) at a distance r>rb from the center of the ball is [tex]E = p \frac{r_{b}^{3} }{3E_{0} r^{2} }[/tex].
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If the current in a wire is tripled, what effect does this have on the electron drift velocity in the wire?
The effect after the current is tripled is changing the drift velocity by a factor 3.
We need to know about drift velocity of electrons to solve this problem. The drift velocity can be determined as
v = I / (n . A . q)
where v is drift velocity, I is current, n is atom number density, A is surface area and q is the charge.
From the question above, we know that
I2 = 3 . I1
According to drift velocity formula, the drift velocity is proportional to current
v ~ I
Hence, the ratio of drift velocity and current is
v1 / v2 = I1 / I2
substitute the final current (I2)
v1 / v2 = I1 / (3.I1)
v1 / v2 = 1 / 3
v2 = 3v1
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An artificial channel or large pipe for bringing water from a distance is called a(n):________
Answer:
aqueduct- as opposed to an aquifer which is a geological formation
The extension of an elastic object is __________ proportional to the force applied, as long as the limit of proportionality is not exceeded. What word completes the sentence?
Answer:
Directly
Explanation:
The extension of the elastic object is directly proportional to the force applied.
I hope this is the answer you are looking for and I hope this helps!
What is the symbol, atomic number, # of protons, # of electrons, atomic mass, rounded atomic mass, # of neutrons (show work), and period of: nitrogen
The symbol of the element Nitrogen is N, its proton number is 7, its atomic mass is 14, its neutron number is 7 and finally Nitrogen belong to period 2 of the periodic table.
What is an Element?This is defined as a substance cannot be further broken down by any chemical reaction and examples include oxygen, nitrogen etc.
Nitrogen is an element and has an atomic number of 7 with a mass number of 14 and is present in period 2 in the periodic table.
For all atoms with no charge, the atomic number is equal to the number of proton. The number of proton is also equal to the number of electron which is why they all have the same value of 7.
Neutron = atomic mass - atomic number
= 14 - 7 = 7
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This kind of research allows the researcher to either describe a situation or phenomenon or the relationship between two or more variables without any interference from the proponent.
Fez loves team sports and gets abundant exercise through team activities. When Fez engages in team activities such as running or passing the ball, what is happening to Fez’s muscles?
When Fez engages in team activities such as running or passing the ball, they are maintaining tension with an equal force on all sides.
What does tension mean ?Any physical object that is in contact with another one can apply forces to that object. The pulling force transmitted axially by a string, cable, chain, or other similar object, or by each end of a rod, truss member, or other similar three-dimensional object is referred to as tension. The action-reaction pair of forces acting at each end of said elements can also be referred to as tension.
The force produced when a load is applied at one or more of the ends of a material in a direction away from the material's cross-section is known as the tension force. It's common to describe a tension force as a "pulling" force. To exert a tension force on the material, the load must be applied axially.
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What do dependent and independent variables mean in science?
Answer:
Independent variable: These are the factors or conditions that you manipulate in an experiment.
Dependent variables: These are the factor that you observe or measure.
Microwaves, such as those used for radar and to heat food in a microwave oven, have wavelengths greater than 3 mm. What is the corresponding frequency of radiation of a wavelength of 13. 4 mm?.
The frequency of electromagnetic waves is 22.32 x 10⁹ Hz or 22.32 GHz.
We need to know about electromagnetic waves to solve this problem. Electromagnetic waves can propagate without media. The speed of electromagnetic in vacuum media is equal to the speed of light. Hence, the wavelength and frequency can be determined as
c = λ . f
where c is the speed of light (3 x 10⁸ m/s), λ is wavelength and f is frequency.
From the question above, we know that
λ = 13.44 mm = 0.01344 m
By substituting the given parameter, we can calculate the frequency of microwaves
c = λ . f
f = c / λ
f = 3 x 10⁸ / 0.01344
f = 22.32 x 10⁹ Hz
f = 22.32 GHz
Hence, the frequency of radiowaves is 22.32 x 10⁹ Hz or 22.32 GHz.
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What is the total distance travelled by an object travelling at an average speed of
0.0470 km/h for 2 min 33 s?
Total distance traveled by an object traveling at an average speed of
0.0470 km/h for 2min 33s is 1.99 m.
Distance is defined as an object's entire movement without regard for direction. Distance may be defined as how much ground an item has traversed regardless of its starting or finishing place.
The following equation can be used to determine the distance traveled by an object traveling at an average speed:
distance traveled = average speed * time
When is this:
Meters are used to measure distance traveled (m)Meters per second (m/s) is a unit of measure for average speed.Seconds are used to measure time (s)Given,
average speed = 0.0470 km/h
converting average speed from km/h to m/s
= 0.01305556 m/s
time = 2min 33s
converting time in seconds
= 153s
thus, we know that
distance traveled = average speed * time
= 0.01305556 * 153
= 1.99 m
Therefore, the Total distance traveled by the object is 1.99m.
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A pollster calls 500 randomly selected people, and all 500 respond to her first question. because the subjects agreed to respond, is the sample a voluntary response sample?
No. Since the people selected were randomly, the responders constituted random sample from the population.
What is voluntary response sample?Voluntary response sample is a sample which is made up of individuals who can volunteer to be included in response sample.
For example, If a radio host asks her listeners to conduct an online survey on her website about peoples opinion of her show. Each individual listener is voluntarily deciding to take part in survey or not.
The major drawback of sampling method is that these individuals who voluntarily respond is likely to have a stronger opinion which can be positive or negative from the rest of the population which eventually makes them an un-representative sample.
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What is the thickness of an anti-reflective coating (n = 1.3) that must be put on a lens (n = 1.5) in order to minimize reflection at a wavelength of 550 nanometers?
The thickness of an anti-reflective coating is 96 nm.
Define Wavelength?
The wavelength in waves is defined as the distance between the crests and troughs. It can be calculated in the meter in the SI system. The crest is the upper part of the wave, and the trough is the lower part.
Given that,
The index of the anti-reflective coating is n = 1.3
The wavelength is denoted as λ = 500 nm = 500×[tex]10^{-9}[/tex]m
The expression for interference can be written as
2t = (m+½)λf
m=0 is the minimum reflection order.
λf is referred to as the wavelength of the film.
By substituting the values in the above expression we get,
2t = (m+½)λf
2t = (0+½)λf
t = λf/4 (this will noted as equation 1 for more clarity )
The wavelength of the light in a medium with refractive index can be expressed as
λf = λ/n
By substituting the values in equation1 we get,
t = λf/4
t = (λ/n)/4
t = λ/4n = 500/(4×1.3) = 96 nm.
Therefore , the thickness of an anti-reflective coating is 96nm.
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How are Molecules different from Atoms?
A. They consist of one or more atoms bonded together.
B. They do not contain neutrons.
C. They do not have nuclei.
D. Their particles do not have electrical charges.
ubat
Answer:
A. They consist of one or more atoms bonded together.
Explanation:
Gay-lussac's law assumes that __________.
a) the temperature is held constant
b) the volume is held constant
c) the number of moles is held constant
Gay-lussac's law assumes that the volume is held constant and the number of moles is held constant.
What is Gay-lussac's law?Gay-Lussac's law states that : The pressure and the temperature of an ideal gas are directly proportional, held mass and volume remains constant.
When the volume is kept as constant, the pressure of a gas will be directly proportional to its temperature.
The law is named after the French physicist and chemist Joseph Gay-Lussac. In 1802, Gay-Lussac formulated this law. It was a formal statement which shows the relationship between temperature and pressure which was described by French physicist, Guillaume Amonton in late 1600’s.
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Explain: to steer an airboat, rudders sit behind the fan. When the air passes through the turned rudders, it turns the boat. Use Newton's third law to construct an explanation on how the rudders turn the boat
The explanation on how the rudders turn the boat is by redirecting the fluid which results in an opposite force aiding the motion of the boat.
What is Newton's third law of motion?This law was coined by Isaac Newton and it states that when object X exerts a force on another object Y, the object Y must exert a form of counter force which has the same magnitude but opposite in direction.
In the case of the rudder, it redirects the fluid which then exerts an equal force of the same magnitude and an opposite direction. This thereby results in the motion of the boat and is therefore the most appropriate choice.
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Which type on manometer must take the atmospheric pressure into account to calculate the pressure exerted by a gas?
A closed end manometer is manometer must take the atmospheric pressure into account to calculate the pressure exerted by a gas.
in closed end manometer, the pressure of gas is measured by measuring the height 'h' and there is no use of atmospheric pressure here.
what is manometer?
A manometer could be a device that we utilize to measure the pressure of the pipelines (cab be of gas, water, fluid, etc.) Moreover, it is usually referred to as a U-shaped tube that's filled with a liquid. In this point, to examine what is it and how it works.
Types of manometer
U-Tube Manometer.
Enlarged-Leg Manometer.
Well-Type Manometer.
Inclined-Tube Manometer.
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Imagine that you could build a telescope of any size in your backyard. Ultimately, the smallest angular size that could be resolved by this telescope would be governed by the?.
The blurring effects of the Earth's atmosphere would decide the smallest angular size that this telescope could resolve.
The term "angular size" refers to an object's apparent size as seen from an observer on Earth. The least angular size can be affected by the magnitude of lights received by telescopes, which can be changed by the earth's hazy atmosphere. Telescopes collect and amplify light from distant objects. Earth's atmosphere substantially limits astronomical observations for two basic reasons.
First, not all atmospheric wavelengths are equally transparent, and some wavelength regimes are completely out of range for ground-based telescopes. Therefore, while developing a telescope with a specific angular size, the earth's atmosphere must be considered.
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there was once a crab name mr crabs who had to go to the docter one day . mr crabs is a an animal in the ____ phylum which was not surpising since he has 10 jointed legs
there was once a crab name mr crabs who had to go to the docter one day . mr crabs is a an animal in the arthropods phylum which was not surpising since he has 10 jointed legs
What five classes make up the phylum Arthropoda?Traditional classifications of arthropods place them in the Trilobitomorpha (Trilobites), Chelicerata, Crustacea, Myriapoda, and Hexapoda subphyla.
Arthropod species make up more than 80% of all known extant animal species, with estimates ranging from 170,000 to 5–10 million.
On Earth, arthropods are regarded as the most successful creatures.
Arthropods, however, are also in charge of a number of helpful human functions, including crop pollination, honey production, devouring or parasitizing insect pests, garbage decomposition, and serving as food for various birds, fish, and mammals. Beneficial arthropods flourish in agricultural areas.
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For each method - sometimes used a s heuristic, what is the distance from start to end? (ignore any coloring in the boxes)
Manhattan distance is a popular heuristic function for sliding-tile puzzles. It is calculated by tallying the number of moves along the grid that each tile takes to move away from its intended position.
What is the Manhattan distance heuristic?Manhattan distance is a popular heuristic function for sliding-tile puzzles. It is calculated by tallying the number of moves along the grid that each tile takes to move away from its intended position. The obvious option for a heuristic function is the Euclidean (straight-line) distance, which, as far as we are aware, can never underestimate the distance but might do so if there is a target obstacle to avoid on the way there.
Any problem-solving strategy that employs a practical approach or numerous short cuts in order to provide answers that might not be ideal but are adequate given a constrained timeline or deadline is known as a heuristic, or heuristic technique.
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A jet airliner moving initially at 701 mph to the east where there is no wind moves into a region where the wind is blowing at 848 mph in a direction 13◦ north of east.
What is the new speed of the aircraft with respect to the ground? (b)What is the direction of the aircraft (use coun- terclockwise from due East as the positive an- gular direction, between the limits of −180◦ and +180◦)? HELP WITH PART B
(a) The new speed of the aircraft with respect to the ground is 1,539.13 mph.
(b) The direction of the aircraft is 7⁰ north east.
Resultant speed of the aircraft
The new speed of the air craft is the resultant speed of the aircraft and it is calculated as follows;
R² = A² + B² - 2AB cos(R)
where;
θ is the direction of the air craft measured counter clock wiseSum of the speed in the horizontal directionA = 701 mph + 848 cos(13)
A = 1,527.266 mph
Sum of the speed in the vertical directionB = 848 x sin(13)
B = 190.76 mph
Resultant speedR = √(A² + B²)
R = √[(1,527.66²) + (190.76²)]
R = 1,539.13 mph
Direction of the aircraftθ = arc tan (y/x) = arc tan (B/A)
θ = arc tan (190.76/1527.66)
θ = 7⁰ north east (measured anticlockwise)
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(choose )
Ramy covered a distance 3080 cm on foot. This distance is equivalent to.........
a) 0.03Km + 80cm
b) 0.3Km +8cm
c) 3Km + 8cm
d) 30Km + 80cm
Answer:
a) 0.03km + 80 cm is the right answer
A baseball goes from zero to 32 m/s in 0.164 s.
What is its average acceleration?
Answer in units of m/s².
Answer: Доброе утро, ответ 5+5="4
Explanation:
Would the coefficient vary if you tied the string to a similar object of different masses, but on the same surface? Explain
No. it will not change.
The coefficient varies only with the surface texture and not with the area of contact and mass of the object.Here, the objects are of identical texture as the description states that the objects are similar.Also, it says that they are placed on the same surface.So, the 2 surfaces that are touching do not vary and hence the coefficient remains unchanged.Different masses have nothing to do with the coefficient as mentioned early and it only deals with the change in the maximum possible friction force between the surfaces.This fact can be viewed as follows.[tex]\begin{aligned}f &= \mu R\\R &= mg \cdots (\text{from vertical equilibrium})\\\therefore\,\,\,f &= \mu.mg \\f &= (\mu g). m \cdots(\text{friction varies with mass})\\\end{aligned}[/tex]
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I NEED HELP ASAP. I dont understand it
Answer:
I don't have the full details so... Position 1 + Position 2
That's if "0" doesn't count as a position.
Explanation:
"What was the distance traveled" is basically "how much did you travel?"
e.g. Position 1 was 12 miles, and Position 2 was 7. 12 + 7 = 19.
Amy and ellie left school at the same time, but she and ellie arrived at their homes at the same time. compare the girls speeds. use evidence of the distance each girl travels at the time it takes to travel that distance to support your claim. explain your reasoning.
The amplitude of a sound wave is measured in terms of its maximum gauge pressure. by what factor does the amplitude of a sound wave increase if the sound intensity level goes up by 40.0 db?
If the sound intensity goes up by 40 db, the amplitude of wave as measured gets increases by a factor of 100.
CalculationThe sound level in decibels can be formulates as
[tex]\beta[/tex] = (10dB) log (I/Io)
Here Io = 10⁻¹²W/m² is specified as the reference intensity
If we assume β₁ as initial sound intensity and β₂ as final sound intensity. Therefore, change in sound intensity can be formulated as
β₁-β₂=40 dB
(10dB) log (I2/Io) - (10dB) log (I1/Io) = 40 dB
(10dB) [log (I2/Io) - log (I1/Io)] = 40dB
log( (I2/Io) / (I1/Io) ) = 40/10 dB
log (I2/I1) = 4dB
I2/I1 = 10^4
The intensity of sound is said as directly proportional to the amplitude of wave squared.
Therefore,
I ∝ A²
I1/I2 = (A1/A2)^2
A2/A1 = [tex]\sqrt{I2/I1}[/tex]
A2/A1 = 100
Therefore, the amplitude of wave increases by a factor of 100.
What exactly is sound amplitude?A sound wave’s amplitude measures the height of the wave. When a sound is made, the maximum displacement of the medium’s vibrating particles from their mean position determines the amplitude of the sound wave.
In physics, amplitude refers to the greatest displacement or distance that a point on a vibrating body or wave can move relative to its equilibrium location. It is equivalent to the vibration paths half-length.
What do sound frequency and amplitude mean?The maximum displacement of a sound wave’s constituent particles is its amplitude. The number of vibrations a sound wave makes per second is known as frequency.
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