Find a vector w with the same direction of u but twice as long as v. u = {0 4 2} v = {2 1 0}.
To find a vector w with the same direction of u but twice as long as v, we can use unit vectors. The magnitude of u is √20 and the magnitude of v is √5. The unit vector parallel to u is (0, 2/√5, 1/√5) and the unit vector parallel to v is (2/√5, 1/√5, 0). Multiplying the unit vector parallel to u by 2 times the magnitude of v gives us the vector w = (4/√5, 2/√5, 0).
Explanation:To find a vector w with the same direction as u but twice as long as v (u = {0 4 2} v = {2 1 0}), we can use the concept of unit vectors. First, let's calculate the magnitudes of vectors u and v. The magnitude of u is √(0^2 + 4^2 + 2^2) = √20. The magnitude of v is √(2^2 + 1^2 + 0^2) = √5.
To find a unit vector parallel to u and v, we divide each vector by its magnitude. The unit vector parallel to u is (0/√20, 4/√20, 2/√20) = (0, 2/√5, 1/√5). The unit vector parallel to v is (2/√5, 1/√5, 0).
To find a vector w with the same direction as u but twice as long as v, we can multiply the unit vector parallel to u by 2 times the magnitude of v. w = 2(2/√5, 1/√5, 0) = (4/√5, 2/√5, 0).
Elements used to make semiconductors for computers include germanium and
A steam catapult launches a jet aircraft (from rest) from the aircraft carrier John C. Stennis, giving it a speed of 200 mi/h in 3.00 s.
(a) Find the average acceleration of the plane.
...?
The radius of a cylinder is 5" and the lateral area is 70 PI sq. in. Find the length of the altitude.
? inches ...?
What is the speed of a wave with a wavelength of 3 m and a frequency of .1Hz?
The correct answer to the question is 0.3 m/s i.e the speed of the wave is 0.3 m/s.
CALCULATION:
As per the question, the wavelength of the wave is given as [tex]\lambda=\ 3\ m.[/tex]
The frequency of the wave f = 0.1 Hz.
We are asked to calculate the speed [ V ] of the wave .
The relation among speed, frequency and wavelength of a wave is given as -
speed = frequency × wavelength
⇒ V = f × [tex]\lambda[/tex]
= 3m × 0.1 Hz
= 0.3 m/s. [ans]
Hence, the speed of the wave will be 0.3 m/s.
Where do plants get energy to live and grow?
Answer:
Sun light and water
Hat is required for a rocket to lift off into space?
a. thrust that is greater than earth���s gravity
b. mass that is greater than earth���s
c. very little air resistance
d. more velocity than friction
A rocket needs thrust greater than Earth's gravity to lift off into space, overcoming air resistance and gravitational pull. Hence, option a is the correct condition for achieving lift-off.
For a rocket to lift off into space, it requires a thrust that is greater than the Earth's gravity. This thrust is provided by the acceleration of the rocket as it ejects high-speed gas through its exhaust nozzles. The opposing forces, such as air resistance and gravitational pull, need to be overcome by this thrust for the rocket to ascend. In the ideal case, without air resistance and neglecting gravity, we could focus solely on the thrust force. However, in reality, rockets must achieve a final velocity great enough to break free from Earth's gravitational influence, which involves reducing the rocket's mass apart from fuel, and producing enough thrust to counteract both gravity and atmospheric drag.
In summary, option a, thrust that is greater than Earth's gravity, is the required condition for a rocket to lift off. Although air resistance and friction are factors that influence the efficiency of the rocket's ascent, achieving a thrust greater than Earth's gravitational pull is the primary necessity.
Which vector best represents the force that could act concurrently with force A to produce force B
2 or second vector best represents the force that could act concurrently with force A to produce force B.
What is force?A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
A resultant force vector is described as a single vector that has the same consequence as several other vectors taken together.To create the resulting force vector, two vectors facing the opposite direction are subtracted from one another. Here, the vector B is pointing in the opposite direction of the vector A, and the resulting force vector is called R.
2 or second vector best represents the force that could act concurrently with force A to produce force B.
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what is Initial temperature and final temperature equations??
...?
Weatherstripping prevents heat loss by
a. lessening evaporation.
b. reducing convection and conduction.
c. preventing condensation.
d. increasing radiation. ...?
Answer: Weatherstripping can refer to either the process or the agent that is used to seal small openings around windows, doors, trunk lids and other areas where a tight seal is desired. Essentially weatherstripping is designed to eliminate a flow or draft from an interior space to an exterior space. Because of this property, weatherstripping is often added to window sashes and doors in order to allow for more efficient heating and cooling of the interior space.
So “B” Is the answer of your question.
Explanation:Weatherstripping can take on several different forms. When it comes to dealing with drafts originating from a small open space between the bottom of a door and the floor, the addition of a small rubber strip along the threshold will often be sufficient to seal the area. The weather stripping will effectively block the airflow between inside and outside, while still allowing the door to be opened and closed with ease. Weatherstripping doors may be accomplished when the door is hung, or added at a later time as the house settles.
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What are some indicators that a chemical reaction is occurring? Check all that apply.
the formation of bubbles
a change in size
a change in color
the formation of a liquid
the formation of a precipitate
The formation of bubbles, a change in color, and the formation of a precipitate (1, 3, & 5) are all indicators that a chemical reaction is occurring.
Indicators that a chemical reaction is occurring -
the formation of bubblesa change in colorthe formation of a precipitateChemical reactions involve the chemical interaction of two or more chemical substances, resulting in a new substance being formed, and are usually irreversible.
The signs of chemical reactions include gas formation, energy release in the form of light or flame, heat absorption, precipitate formation, and color change.
Gas bubbles appear after a chemical reaction has occurred and the mixture becomes saturated with gas.A solid, known as a precipitate, that forms after two solutions are mixed is also a sign of a chemical change. Each chemical compound has a characteristic color. When the compound changes during a chemical reaction, the color may change as well.Thus, Indicators that a chemical reaction is occurring -
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"A copper wire loop is constructed so that its radius, r, can change. It is held near a solenoid that has a constant current through it.
a. Suppose that the radius of the loop were increasing. Use Lenz' law to explain why there would be an induced current through the wire. Indicate the direction of that current.
b. Check your answer regarding the direction of the induced current by considering the magnetic force that is exerted on the charge in the wire of the loop. "
"A copper wire loop is constructed so that its radius, r, can change. It is held near a solenoid that has a constant current through it.
a. Suppose that the radius of the loop were increasing. Use Lenz' law to explain why there would be an induced current through the wire. Indicate the direction of that current.
b. Check your answer regarding the direction of the induced current by considering the magnetic force that is exerted on the charge in the wire of the loop. "
According to Lenz's law, an induced current is generated in a copper wire loop when its radius near a solenoid increases. The direction of this induced current opposes the increasing radius of the loop. This direction can also be determined by considering the magnetic force on the charges in the wire loop.
Explanation:a. According to Lenz's law, when the radius of the copper wire loop near the solenoid increases, an induced current is generated in the loop. This induced current flows in a direction that creates a magnetic field opposing the change in magnetic flux through the loop. Therefore, the direction of the induced current would be such that it opposes the increasing radius of the loop.
b. To check the direction of the induced current, we can consider the magnetic force on the charges in the wire loop. As the radius of the loop increases, the magnetic field due to the solenoid through the loop also increases. By applying the right-hand rule for the direction of the magnetic force on a moving charge, we find that the induced current in the loop would flow in a direction opposite to the increasing radius, in order to resist the change in magnetic field.
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A steel wire of diameter 1 mm can support a tension of 0.24 kn. suppose you need a cable made of these wires to support a tension of 24 kn. the cable should have diameter of what order of magnitude?
To support a tension of 24 kN, a cable made from steel wires that originally have a diameter of 1 mm should have a new diameter of 10 mm, which is one order of magnitude larger.
Explanation:If a steel wire of diameter 1 mm can support a tension of 0.24 kN, to support a tension of 24 kN, we need to determine the required diameter of a cable made of these wires. The tension supported by a wire is directly proportional to the cross-sectional area, which is proportional to the square of the diameter. Therefore, if the tension increases by a factor of 100 (from 0.24 kN to 24 kN), the diameter must increase by a factor of the square root of 100, which is 10.
Hence, the new diameter would be 10 mm, which is a one order of magnitude increase from the original diameter of 1 mm.
Which statement about dwarf planets is true?
a. pluto was the first dwarf planet to be discovered.
b. all dwarf planets likely contain a mixture of rock and ice.
c. dwarf planets lie beyond the outer planets
Answer:
All dwarf planets likely contain a mixture of rock and ice
Explanation:
The true statement about dwarf planets is that Pluto was the first to be discovered. Dwarf planets share common features like orbiting the sun and having a near-spherical shape but have not cleared their orbits of other objects.
The true statement about dwarf planets is that Pluto was the first dwarf planet to be discovered. Dwarf planets are celestial bodies that meet two of the three criteria set by the International Astronomical Union (IAU) for being a planet: they orbit the sun and have sufficient mass for a nearly spherical shape, but they have not cleared their orbits of other objects. While not all dwarf planets are beyond the outer planets (Ceres, for example, is located in the asteroid belt between Mars and Jupiter), all discovered dwarf planets have a mixture of rock and ice, and with the exception of Ceres, they are found beyond Neptune. Pluto, which was initially classified as one of the major planets, became known as a dwarf planet due to the redefinition of what constitutes a planet in 2006.
how does the volume occupied by a cubic centimeter compare with the volume occupied by a millimeter
A car starts from xi = 12m at ti = 0 and moves with the velocity graph shown in figure below. What is the objects position and t=3s and t=4s? Picture in comments below
To find the position of the car at t = 3 s and t = 4 s, we need to find the area under the velocity graph up to those time points.
Explanation:The position of an object at a given time can be determined from the velocity graph. To find the object's position at t = 3 s and t = 4 s, we need to find the area under the velocity graph up to those time points. In the figure, we can see that the displacement at t = 3 s is approximately 5 m and the displacement at t = 4 s is approximately 8 m.
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A 3858 N piano is to be pushed up a(n) 3.49 m frictionless plank that makes an angle of 31.6 ◦ with the horizontal. Calculate the work done in sliding the piano up the plank at a slow constant rate. Answer in units of J.
Answer:
7055.13 J
Explanation:
Step 1: identify the given parameters
Applied force on the piano = 3858NLength of plank = 3.49mangle between the plank and horizontal surface = 31.6⁰Note: frictional force between the piano and horizontal surface is zero since the plank is frictionless.
Step 2: work done in sliding the piano up the plank = applied force X distance moved by the piano.
The distance moved by the piano is equal to the height above ground when the piano reach top of the plank.
make a sketch of right angle trianglelength of the plank is the hypotenuse sideangle between the hypotenuse and the horizontal is 31.6⁰height of the triangle is the height above ground , let it be the unknownHeight of the triangle = 3.49m X sine31.6⁰
Height of the triangle = 1.8287m
Recall, height of the triangle is the height above ground which is equal to the distance moved by the piano
work done in sliding the piano up the plank = applied force X distance moved by the piano.
work done in sliding the piano up the plank = 3858N X 1.8287M
= 7055.13 J
Julie drives 100 mi to Grandmother's house. On the way to Grandmother's, Julie drives half the distance at 33.0 and half the distance at 80.0 . On her return trip, she drives half the time at 33.0 and half the time at 80.0 . What is Julie's average speed on the way to Grandmother's house? What is her average speed on the return trip? ...?
Which of the following describes how an atom becomes negatively charged?
A. electrons are gained when free floating electrons attach to the atom
B. protons are gained when free floating electrons attach to the atom
C. electrons are transferred to the atom from other atoms through direct contact
D. protons are transferred from other atoms through direct contact ...?
Answer:
C. electrons are transferred to the atom from other atoms through direct contact
Explanation:
When an atom is negatively charged then it means that the number of electrons in the atom is in excess in number as compare it to the number of protons
This is possible when an atom will transfer its electron to other atom. Here the transfer of electrons will produce negative or positive charge because electrons are loosely bounded while protons are strongly bounded inside the nucleus.
So here correct answer is given as
C. electrons are transferred to the atom from other atoms through direct contact
An airplane heads northeast at an airspeed of 700 km/hr, but there is a wind blowing from the west at 60 km/hr. In what direction does the plane end up flying? What is its speed relative to the ground?
Final answer:
The plane ends up flying northeast. To find its speed relative to the ground, use vector addition to calculate the resultant velocity as 694 km/hr.
Explanation:
Direction: The plane ends up flying northeast.
Speed Relative to the Ground: To find the speed relative to the ground, we need to calculate the resultant velocity. The plane's velocity relative to the air is northeast at an angle, while the wind blows from the west. Using vector addition, we determine the speed relative to the ground to be 694 km/hr.
Vector Addition: Vector addition is essential to determine the resultant velocity of the plane with respect to the ground, taking into account both the airspeed and the wind speed.
Which of the following best defines mass?
A. The amount of matter in a substance.
B. The amount of water that a substance displaces.
C. The way a sample of matter fills a container.
D. How much space a sample of matter takes up.
Which of the following best defines mass?
A. The amount of matter in a substance.
B. The amount of water that a substance displaces.
C. The way a sample of matter fills a container.
D. How much space a sample of matter takes up.
Answer:
option (A)
Explanation:
The amount of matter contained in the matter is called its mass.
Mass is a scalar quantity and it always remains constant.
The SI unit of mass is kg.
The position of a particle moving along the x axis varies in time according to the expression x = 4t 2, where x is in meters and t is in seconds. Evaluate its position at the following times.
(a)t=2.10s
______m
(b)t=2.10s +Δt
xf=________m
(c)Evaluate the limit of Δx/Δt as Δt approaches zero to find the velocity at t = 2.10 s.
_______m/s ...?
a) The particle's position at t = 2.10 s is 17.64 meters, and the velocity at this time is 16.8 m/s.
b) The position at a later time t = 2.10 s + Δt can be found by squaring the entire term (t + Δt) and multiplying by 4.
c) The limit of Δx/Δt as Δt approaches zero to find the velocity at t = 2.10 s. is 16.8 m/s.
The equation of motion for the particle as it moves along the x-axis is x = 4t² where x is in meters and t is in seconds.
(a) To find the position at t = 2.10 s, we simply plug the value of t into the equation: x = 4(2.10)² = 4(4.41) = 17.64 meters.
(b) The position xf at time t = 2.10 s + Δt is given by x_f = 4(t + Δt)².
(c) To find the velocity at t = 2.10 s, we take the limit of Δx / Δt as Δt approaches zero.
This is equivalent to the derivative of x with respect to t, which gives us the velocity: v = dx/dt = d/dt(4t²) = 8t. Substituting t = 2.10 s gives us v = 8(2.10) = 16.8 m/s.
(a) At t = 2.10 s, the position of the particle is 35.28 m. (b) At t = 2.10 s + [tex]\(\Delta t\)[/tex], the final position [tex](\(x_f\)) is \(4t^2 + 8.4t\Delta t + 4(\Delta t)^2\)[/tex] m. (c) The limit of [tex]\(\frac{\Delta x}{\Delta t}\) as \(\Delta t\)[/tex]approaches zero at t = 2.10 s is 16.8 m/s.
Explanation:(a) Substitute t = 2.10 s into the given expression [tex]\(x = 4t^2\)[/tex] to find [tex]\(x = 4(2.10)^2 = 35.28\)[/tex] m.
(b) For [tex]\(x_f\)[/tex], we use the expression [tex]\(x_f = 4t^2 + 8.4t\Delta t + 4(\Delta t)^2\)[/tex] to account for the change in time [tex](\(\Delta t\)).[/tex]
(c) To find the velocity at t = 2.10 s, evaluate the limit of [tex]\(\frac{\Delta x}{\Delta t}\)[/tex] as [tex]\(\Delta t\)[/tex]approaches zero. Taking the derivative of [tex]\(x = 4t^2\)[/tex] with respect to t gives the instantaneous velocity, which is 16.8 m/s.
Understanding how to evaluate position at specific times and finding instantaneous velocity provides insights into the kinematics of particle motion.
The law of conservation of mass states that _______________________________.
The law of conservation of mass states that mass is neither created nor destroyed in chemical reactions, remaining constant.
The law of conservation of mass states that:
1. Mass cannot be created or destroyed in a chemical reaction or a physical change.
2. The total mass of substances before a reaction must equal the total mass of the substances after the reaction.
3. At the atomic level, this law implies that the number and types of atoms present in the reactants must equal the number and types of atoms in the products.
4. This principle holds true for closed systems where no mass is exchanged with the surroundings, although in nuclear reactions, mass can be converted into energy according to Einstein's famous equation E=mc²..
5. The conservation of mass is a fundamental principle in chemistry and underpins our understanding of chemical reactions and the behavior of matter in various processes.
___________ charges a neutral body by touching it with a charged body.
The process that charges a neutral body by touching it with a charged body is known as charging by contact.
Charging by contact is the process where a charged body touches a neutral body, transferring charge to it, unlike charging by induction which involves no direct touch.
This method requires the charged object, such as a positively charged glass rod, to physically touch the neutral object, transferring charge directly.
For instance, when a positively charged rod touches an electroscope, electrons move to neutralize the positive charges, resulting in the electroscope itself gaining a positive charge. Unlike charging by induction, where a charged object is brought near a neutral object without direct contact causing a redistribution of charges within the neutral object, charging by contact involves direct touch.
according to newton's first law of motion what is required to make an object slow down
According to Newton's first law of motion, an object at rest will remain at rest and an object in motion will continue moving at a constant velocity unless acted upon by an external force. To make an object slow down, an external force in the opposite direction of its motion, such as friction, is required.
Explanation:According to Newton's first law of motion, an object will continue moving at a constant velocity unless acted upon by an external force. To make an object slow down, an external force in the opposite direction of its motion is required. This force is called friction. Friction can be caused by various factors, such as air resistance or contact with a surface.
Learn more about Newton's first law of motionA 60.0- kg dancer leaps 0.32 m high. With what momentum does he reach the ground
The momentum of the dancer is equal to 151 Kg.m/s.
What is momentum?The momentum of a body can be defined as the function of the mass of the body and its velocity. Momentum (p) can be determined as the kinetic energy of the body and is the multiplication of velocity (v) and mass (m).
The mathematical equation to calculate the momentum of the body is equal to:
p = m×v
The momentum can be described as the conserved quantity and will be zero if the velocity of an object is equal to zero.
Given, the mass of the dancer, m = 60 Kg
The height from the ground, h = 0.32 m
The initial velocity of the dancer, u = 0
v² - u² = 2gh
v² - 0 = 2 × 9.8 ×0.32
v² = 6.272
v = 2.53 m/s
The momentum of the dancer does he reach the ground:
p = 60 × 2.53
p = 151 Kg.m/s
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Because cosmologists can't go out into space and test all of their theories, they must depend on the cosmological principle. This principle assumes that _____.
the universe stays at a steady state
any physical laws are the same for the entire universe
the universe is going to eventually collapse
the universe is cooling down
B.) Any physical laws are the same for the entire universe.
Dispersion is the separation of white light into separate colors by
A. differences in wavelength
B. differences in wave amplitude
C. the blocking of light
D. constructive interference
Dispersion is the separation of white light into separate colors based on differences in wavelength.
Explanation:Dispersion is the separation of white light into separate colors based on differences in wavelength. When light passes through a medium, such as a prism or a droplet of water, it is bent or refracted. However, different colors of light have different wavelengths, which causes them to refract at different angles. This results in the dispersion of white light into its constituent colors.
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When the switch is closed, what happens to the current in the circuit? (The intrinsic resistance of the inductor is zero.)
a.The current instantaneously becomes 2 .
b.The current instantaneously becomes 1 .
c.The current gradually increases from zero to 2 and then remains constant.
d.The current gradually increases from zero to 1 and then remains constant.
When a switch is closed in a circuit with an inductor, the current gradually increases from zero to a constant value. This is due to the property of inductors to initially oppose changes in current.
Explanation:The question asks about the behavior of current in a circuit when a switch is closed, specifically in relation to an inductor with zero intrinsic resistance. The correct answer is d. The current gradually increases from zero to 1 and then remains constant. When the switch is closed, establishing an electrical connection, the current does not become instantaneously high. Rather, it gradually increases. This is because the inductor initially opposes the change in current. As current continues to flow, this opposition decreases and the current increases, eventually reaching a constant value.
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Suppose all of the apples have a mass of 0.10 kg and one of the apples in the bowl (C) is 1.0 meter off the ground. If the apple (C) falls from the table, what is the maximum kinetic energy it can gain?