Both the X- and Y-components of a vector are doubled. Which of the following describes what happens to the resulting Vector?
a) Magnitude increases by √(2
b) Magnitude increases by √(2, and the direction changes
c) Magnitude increases by 2
d) Magnitude increases by 2, and the direction changes
Answers
Answer: C. Magnitude increases by 2
Explanation:
If the magnitudes of X and Y vectors are increased, then the resultant vector will increase by a factor of 2 but the direction does not changes. Hence, option c is correct.
What is a vector ?A vector is a physical quantity having both magnitude and direction. For example, force, velocity, work done, momentum, velocity etc. are vector quantities. The quantities which does not have direction are called scalar quantity.
The resultant vector R of vectors in X and Y direction can be written as follows:
\(\rm R = \sqrt{x^{2} + y^{2}}\)
If the x and y components are doubled to 2x and 2y then the resultant vector becomes,
\(\rm R = \sqrt{(2x)^{2} + (2y)^{2}}\\\\ R = \sqrt{4 (x^{2} + y^{2})\\\\\\ R = 2 \sqrt{x^{2} + y^{2} \\ \\ \\ \\\)= 2R
Therefore, the resultant vector will increases by 2 times. However the direction will not change. Hence, option c is correct.
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Related Questions
Advanced Wireless Services (AWS) is a wireless telecommunications spectrum band used for mobile voice and data services, video, and messaging. The AWS band uses frequencies in several segments: from 1695 to 2200 MHz. a) Determine the corresponding range of wavelengths used by the AWS mobile devices. b) To what region/band of electromagnetic spectrum does the range belong
Answers
Given data
*The given frequency is
\(f_1_{}=1695\text{ MHz}=1695\times10^6\text{ Hz}\)*The another given frequency is
\(f_2=2200\text{ MHz=}2200\times10^6\text{ Hz}\)*The given speed of light is c = 3.0 × 10^8 m/s
(a)
The formula for the wavelength is given as
\(\lambda_1=\frac{c}{f_1}\)Substitute the known values in the above expression as
\(\begin{gathered} \lambda_1=\frac{(3\times10^8)}{(1695\times10^6)^{}} \\ =0.176\text{ m} \end{gathered}\)The another wavelength for the another frequency is calculated as
\(\begin{gathered} \lambda_2=\frac{c}{f_2} \\ =\frac{(3.0\times10^8)}{(2200\times10^6)} \\ =0.136\text{ m} \end{gathered}\)(b)
Radio spectrum is an electromagnetic spectrum where the frequency range belongs of wireless telecommunication.
the fundamental of an organ pipe that is closed at one end and open at the other end is 261.6 hz (middle c). the second harmonic of an organ pipe that is open at both ends has the same frequency.what is the length of the pipe that is that is open at both ends?
Answers
The length of the organ pipe is twice the length of the closed pipe, so it is 1.0 meters long.
The frequency of an organ pipe is related to the speed of sound and the length of the pipe. For an open-open pipe, the fundamental frequency occurs when the wavelength of the sound wave fits exactly twice into the length of the pipe. This means that the second harmonic has a frequency that is twice that of the fundamental and fits exactly one wavelength into the length of the pipe. Since we know that the second harmonic has the same frequency as the fundamental of the closed-open pipe, we can conclude that the length of the open-open pipe is twice that of the closed-open pipe. Using the formula for the wavelength of a sound wave, λ = 2L/n, where L is the length of the pipe and n is the harmonic number, we can solve for the length of the open-open pipe: L = λn/2 = (343 m/s) / (2 x 2 x 261.6 Hz) = 0.2616 m. Therefore, the length of the open-open pipe is 0.2616 m.
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A circuit has a voltage of 10 V and a current of 5 A. What must the resistance be?
0.5 ohms
50 ohms
2 ohms
15 ohms
Answers
Answer:
R=V/I
R= 2
Explanation:
R = 10V/5A
R = 2ohms
If a 0.3% decrease in the price of a good causes its quantity supplied to decrease by 1%, then the supply is: A. Unit elastic B. Elastic C. Inelastic D. Perfectly inelastic
Answers
If a 0.3% decrease in the price of a good causes its quantity supplied to decrease by 1%, then the supply is C. Inelastic.
In this scenario, the supply of the good is considered inelastic. The elasticity of supply measures the responsiveness of the quantity supplied to changes in price. When the price of a good decreases, and the quantity supplied decreases by a larger percentage, it indicates that the supply is relatively unresponsive to price changes.
To determine the elasticity of supply, we compare the percentage change in quantity supplied to the percentage change in price. In this case, a 0.3% decrease in price results in a 1% decrease in the quantity supplied. Since the percentage change in quantity supplied (1%) is greater than the percentage change in price (0.3%), the supply is considered inelastic.
Inelastic supply means that producers are less responsive to price changes, and a small change in price leads to a proportionally smaller change in quantity supplied. In such cases, producers may find it challenging to adjust their output levels quickly in response to price fluctuations.
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which detection method was used by the kepler mission?
Answers
The Kepler mission was launched by NASA in 2009 with the primary goal of discovering Earth-sized planets orbiting other stars in our Milky Way galaxy. It used the transit method to detect exoplanets.
The transit method involves observing a star and looking for small, periodic dips in its brightness caused by a planet passing in front of it. The amount of light blocked by the planet gives information about its size, and the period of the transit gives information about its orbit.
Kepler monitored over 150,000 stars in a fixed field of view for over four years, resulting in the discovery of thousands of exoplanet candidates. The mission concluded in 2018, but its data continues to be analyzed to learn more about the distribution and characteristics of exoplanets.
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as water begins to boil in the kettle the hotter water at the bottom of the kettle closest to the stove begins to rise and the cooler water a above sinks warms. why does the occur?
Answers
Answer:
condensation?
Explanation:
this occurs because the hotter water is atoms are expanding and becoming lighter or in other words less dense but the cold water is still the same and it’s not expending instead its atoms are closer together because it’s cold so it’s denser or heavier then the hot water so the denser cold water would sink and the lighter hot water should float on top of the cold water
SUMMARY
SO ITS MOSTLY BECAUSE OF THE DIFFERENCE IN DENSITY IN THE HOT AND COLD WATER WITH THE HOT WATER BEING LESS DENSE THEN THE COLD SO IT FLOATS
3. Label the parts of each wave.
Please help me!!!
Answers
Answer:
D is the wavelength
A is the crest
C is amplitude
B is trough
G is wavelength
H is compression
I is rarefaction
What causes the spinning tube of air created by winds moving in opposite directions to tip upwards and become vertical?
A
The updraft of wind in a supercell
B
Dust and debris picked up by a mesocyclone
C
The increasing speed of the tube’s rotation
D
A lack of gravity during stormy weather
Answers
The spinning tube of air created by winds moving in opposite directions to tip upwards and become vertical because of the updraft of wind in a supercell. Hence, option (A) is correct.
What is supercell?As a deep, continuously revolving updraft known as a mesocyclone, a supercell is a type of thunderstorm. This causes these storms to occasionally be called spinning thunderstorms.
Supercells, which are the least frequent and have the potential to be the most severe of the four types of thunderstorms (supercell, squall line, multi-cell, and single-cell), are the least common overall.
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1. What claim does the author make about climate change and global warming?
2. What reasons and examples does the author provide to support his claim?
(List them in your own words.)
3. Does each of these reasons support the author’s claim? For reasons that you listed above
in question 2, explain how the example relates to the claim.
Answers
Climate change and global warming are inter-connected to each other.
What is global warming and climate change?Global warming is the unusually rapid increase in Earth's average temperature due to the release of greenhouse gases while on the other hand, climate change refers to the change that occur in the temperatures and weather pattern.
The happening of global warming causes the climate change around the world so we can conclude that climate change and global warming are inter-connected to each other.
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How to do p=hdg
I don’t understand it all please help
Answers
The Moon's appearance as seen from Earth changes
during the 28-day lunar cycle. You can see how the
changes happen by looking at the Sun-Earth-Moon system.
This diagram shows the relative positions of the Sun,
Earth, and the Moon at each point in the cycle.
Last quarter
New
moon
Full
moon
First quarter
Which statement best describes how the phase of the Moon changes from a
full moon to a new moon?
A. Earth moves around the Sun until the Moon is between the Sun
Answers
Answer:
C is correct
Explanation:
The statement that best describes how the phase of the Moon changes from a full moon to a new moon is as follows:
The Moon moves around the Earth until the Moon is between the Sun and the Earth.Thus, the correct option for this question is C.
What are the different phases of the Moon?The different phases of the moon may significantly include the new Moon, waxing crescent, first quarter, waxing gibbous, full Moon, waning gibbous, third quarter, and waning crescent. This cycle of phase change of the moon repeats once a month.
The Earth completes its one rotation around the sun in 365.25 days. While the moon completes its one rotation around the Earth in 29.5 days. The rotation of the moon around the earth leads to phase change of it. This is because when the moon rotates around the sun, it directly or indirectly causes its exposure to the sun where its phase changes.
In the diagram above, when there is a full moon, the earth is present between the sun and the moon. But when a new moon arises, the moon is present between the earth and the sun.
Therefore, the correct option for this question is C.
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Una bola de ping pong de 10 g. de masa rueda a 10 m/s hacia una bola de pool de 250 g de masa, inicialmente quieta. Luego del choque la pelota rebota hacia la izquierda con una velocidad de 5 m/s. Calcular la velocidad que adquiere la bola de pool, si esta pelota se movía hacia la izquierda con una velocidad de 0.4 m/s antes del choque
Answers
Which of the following is NOT true about noon in the Northern Hemisphere, on January 1?
A. The sun has reached its highest altitude for that day.
B. Your shadow is the shortest it will be that day.
C. Your shadow points due north.
D. The Sun is directly overhead.
Answers
Answer:
The answer is D
Explanation:
A box is 2 cm long, 3 cm wide, and 4 cm high. How many cubic centimeters of water can it hold?
(In other words, what is the volume? Don’t forget UNITS!)
Answers
Answer:
Explanation:
What potential difference, acting over a distance of 2.5 cm, would be needed to balance the downward force of gravity so that an electron would remain stationary
Answers
The potential difference, acting over a distance of 2.5 cm is 1.4*10^-12V.
What are the effects of distance on potential difference?The potential actually grows as you get farther away from the charge, becoming less negative as you get closer to it and eventually reaching zero. The potential for both positive and negative charges is zero at infinite distances from the charge.
Exactly what is potential energy?The energy that a body has because of its location or deformation is known as potential energy. Both the body's bulk and the height to which it is lifted play a role.
Given:
Distance (d) = 2.5cm = 0.025 m
For an electron,
\(m= 9.109*10^-31kg\)
\(q=1.602*10^-19C\)
We isolate the electric field:
\(E=\frac{mg}{q}\)
\(g=9.8 m/s^2\)
\(E=\frac{(9.109*10^-31kg)(9.8m/s^2)}{1.602*`10^-19C}\)
\(E=5.5723*10^-11V/m\)
Electric potential,
\(E=\frac{V}{d}\)
\(V=Ed\)
\(V= (5.5723*10^-11V/m)(0.025m)\)
\(V=1.4*10^-12V\)
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what is the difference between a galaxy and a star
Answers
The main difference between a galaxy and a star lies in their size, composition, and structure.
A star is a luminous sphere of plasma held together by its own gravity. Stars generate energy through nuclear fusion in their cores, primarily converting hydrogen into helium. They emit light and heat, appearing as individual points of light in the night sky. Stars come in various sizes, ranging from relatively small ones like our Sun to massive giants.
On the other hand, a galaxy is a vast collection of stars, gas, dust, and other celestial objects bound together by gravitational forces. Galaxies can be enormous, containing billions or even trillions of stars. They come in different shapes and sizes, such as spiral, elliptical, or irregular. Galaxies also contain other components like nebulae, stellar clusters, and dark matter.
While stars are found within galaxies, galaxies themselves are distinct entities that contain numerous stars. Galaxies are often considered as separate systems with their own structures and dynamics, while stars are individual celestial bodies that are part of these larger galactic systems.
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Police invetigator, examining the cene of an accident involving two car, meaure 64-m-long kid mark of one of the car, which nearly came to a top before colliding. The coefficient of kinetic friction between rubber and the pavement i about 0. 70. Etimate the initial peed of that car auming a level road
Answers
The initial speed of the car with a length of the skid mark of about 64 m long and kinetic friction of 0.70 is 29.63 m/s.
A force that acts between moving surfaces is referred to as kinetic or sliding friction. It is the frictional force that prevents relative motion between surfaces in contact. The formula to calculate this kind of friction is, \(f _k =\mu_kN\) where uk is the coefficient of friction and N is the normal force.
Given the length of the skid mark (Δd) is 64 m and the coefficient of kinetic friction is 0.70. The final velocity vf is 0 because the car stops.
Let us assume the initial velocity vi, mass m, and deceleration a. Then, the normal force acting on the car is N = mg. The kinetic friction will be,
\(f _k =\mu_kN\\f_k=\mu_kmg\)
Let's assume the only force acting on the system is kinetic friction, then friction force=ma. Solve this equation with the above equation,
\(\begin{aligned}ma&=\mu_kmg\\a&=\mu_kg\end{aligned}\)
Then, the initial speed is calculated as follows
\(\begin{aligned}v_f^2&=v_i^2-2a\Delta d\\0&=v_i^2-2\mu_kg\Delta d\\v_i^2&=\mathrm{2\times0.70\times9.80\;m/s^2\times64\;m}\\v_i^2&=\mathrm{878.08\;m^2/s^2}\\v_i&=\mathrm{29.63\;m/s}\end{aligned}\)
The answer is 29.63 m/s.
The complete question is -
Police investigators, examining the scene of an accident involving two cars, measured 64 m long skid marks on one of the cars, which nearly came to a stop before colliding. The coefficient of kinetic friction between rubber and the pavement is about 0.70. Estimate the initial speed of that car, assuming a level road.
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a plane flies directly between two cities, a and b, which are separated by 2300 km. from a to b, the plane flies into a 65 km/hr headwind. on the return trip from b to a, the wind velocity is unchanged. the trip from b to a takes less than the trip from a to b. what is the airspeed of the plane, assuming it is the same in both directions?
Answers
The airspeed of the plane can be any positive value.
To solve this problem, let's assume the airspeed of the plane is denoted by V (in km/hr). We need to find the value of V.
When the plane flies from city A to city B, it is flying against a headwind. The effective ground speed of the plane is reduced by the speed of the headwind. Given that the headwind has a velocity of 65 km/hr, the ground speed of the plane from A to B is (V - 65) km/hr.
On the return trip from city B to city A, the wind velocity is unchanged. Since the plane is now flying with the wind, the effective ground speed of the plane is increased by the speed of the wind. Therefore, the ground speed of the plane from B to A is (V + 65) km/hr.
We are given that the trip from B to A takes less time than the trip from A to B. This means that the ground speed from B to A is greater than the ground speed from A to B. Mathematically, we can express this as:
(V + 65) > (V - 65)
Simplifying the inequality, we get:
V + 65 > V - 65
130 > 0
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d. Is this reaction endothermic or exothermic? Explain your answer in two ways: first,
using the energy values, and second, by referring to the shape of the graph.
Answers
The reaction exhibited an exothermic reaction.
Why is this reaction exothermic?Considering the energy values: The energy of the resulting products is lower compared to that of the initial reactants, indicating the liberation of energy throughout the reaction. This exemplifies the characteristic behavior of an exothermic reaction.
Analyzing the shape of the graph: If we were to plot the energy of the reaction as a function of time, the graph would display a downward trajectory, signifying a decrease in the system's energy. This aligns with the typical features associated with an exothermic reaction.
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Complete question:
In a particular chemical reaction, the energy of the reactants is 30 kJ and the energy of the products is 5 kJ. The maximum energy of the system is 40 kJ.
D. Is this reaction endothermic or exothermic? Explain your answer in two ways: first, using the energy values, and second, by referring to the shape of the graph.
What is the lowest possible value that can be configured as a replication interval for site links?10 minutes5 minutes15 minutes30 minutes.
Answers
The lowest possible value that can be configured as a replication interval for site links is 15 minutes.
Site links are used to define the replication schedule between Active Directory sites in a domain. The replication interval is the amount of time between each replication cycle for the site link. The default replication interval for site links is 180 minutes (3 hours), but this value can be modified to meet specific business requirements.
Although the Active Directory Sites and Services console allows you to set a replication interval as low as 10 minutes, the minimum effective value for the replication interval is 15 minutes due to the way replication scheduling works in Active Directory.
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Where would the net force acting on a charge placed in a system of like charges be zero?
Answers
Answer:
If an object is electrically neutral it has no net charge becuase it has the same number of protons as it does electrons, which are opposite charges that offset each other. No, that just means that the sum of all its positive and negative amounts of charge equals zero.
Is 40 mph possible to run?
Answers
NO.The likelihood of reaching 40 miles per hour is very slim
Several factors are related to how quickly somebody can run, which is why only one person has ever run 28 miles per hour.Catch a sprinter smashing a speed record and they look like they could keep up with a car chase. 40 MPH: The fastest speed humans can run. The current fastest human in the world is Usain Bolt, who can run at nearly 28 miles per hour.Steve in Davis, Calif. So far, the fastest anyone has run is about 27½ miles per hour, a speed reached (briefly) by sprinter Usain Bolt just after the midpoint of his world-record 100-meter dash in 2009.
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In 2.8s, a car increases its velocity from 20 m/s to 25 m/s what is the acceleration of the car?
Answers
Answer:
I’m so sorry I tried solving it but I don’t understand it can you explain the question a little bit more ty
Explanation:
Anyone knows this please help me
Answers
Answer:
True
Explanation:
a block is released from rest at point p and slides along the frictionless track shown. at point q, its speed is:
Answers
Without any friction (= the force that makes it difficult for an object to slide across or move through something):
Is an air track frictionless?Regardless of any internal changes that may occur, including energy dissipating in one form and reappearing in another, the total energy of an isolated system remains constant.A friction drive belt, as implied by its name, is a track that is tensioned to smooth rubber wheels much like a conveyor belt. The tractive force generated for propulsion is the friction between the drive wheels and the roller path of the track.happening very easily without anything to make it slower or more difficult: We need completely frictionless trade, without tariffs or border checks. The application offers frictionless downloading and sharing.An air track is a scientific device used to study motion in a low friction environment. Its name comes from its structure: air is pumped through a hollow track with fine holes all along the track that allows specially fitted air track cars to glide relatively friction-free.Block is released from point p
Track is frictionless
height travels from p to q
(h1-h2 )
(optional energy ) p =Q ( kinetic energy)
mg( h1 - h2) = 1/2mv^2
2g(h1-h2) = v^2
###
(√2g ( h1-h2 ) = v )
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How much power is used if it takes frank a 450 N boy 3 seconds to run 2 meters
Answers
Answer:
300 Watt
Explanation:
power=(450/3)*2
How far must one travel to get away from the Earth's gravitational field?
a. To a region above the Earth's atmosphere
b. To a region well beyond the moon
c. To a region beyond the solar system
d. Forget it; you can't travel far enough.
Answers
To get away from the Earth's gravitational field, one must travel to a region well beyond the moon. Option B is the correct answer.
Escaping the Earth's gravitational field requires reaching a point where the gravitational pull of other celestial bodies, such as the Moon, becomes more dominant than Earth's gravity. This point is typically considered to be "well beyond the moon." Traveling to a region beyond the moon allows an object to overcome the gravitational force exerted by Earth and enter a trajectory influenced more by other celestial bodies or even venture into space beyond the Earth-Moon system.
Option B is the correct answer.
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What does a larger interquartile range mean.
Answers
Larger values indicate that the central portion of your data spread out further.
What process is represented by this redox equation ? 6H 2 O+6CO 2 C 6 H 12 O 6 +6O 2
Answers
Answer:
C. Photosynthesis
Explanation:
Photosynthesis is a process by which plants and photosynthetic bacteria obtain their food in presence of sunlight from water and carbon dioxide. They produce glucose as the food and oxygen is emitted as the byproduct. The equation for photosynthesis is - 6H2O+6CO2 → C6H12O6 + 6O2
Thus, the correct answer is 'C.Photosynthesis.'
Which is true of the sizes of these "stellar remnants" left behind when a star dies?
White Dwarf: the size of a proton, Neutron Star: the size of a neutron, Black Hole: the event horizon has no size at all (a single point)
White Dwarf: Size of a mountain, Neutron Star: Size of a planet, Black Hole: the size of a solar system
White Dwarf: the size of the Sun, Neutron Star: the size of the Earth, Black Hole: the size of the event horizon depends on the mass
White Dwarf: Size of Earth, Neutron Star: Size of a city, Black Hole: depends on its mass
Answers
The correct answer is White Dwarf: the size of the Sun, Neutron Star: is the size of the Earth, Black Hole: the size of the event horizon depends on the mass.
To provide more details:
A white dwarf is a dense stellar remnant composed mostly of electron-degenerate matter. It is about the size of the Earth.
A neutron star is an incredibly dense remnant composed mainly of neutrons. It is typically a few kilometers in diameter, comparable to the size of a city.
A black hole is a region in space where gravity is so strong that nothing, including light, can escape from it. Black holes do not have a physical size themselves, but they have an event horizon, which is a boundary beyond which nothing can escape. The size of the event horizon, known as the Schwarzschild radius, depends on the mass of the black hole.
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