Vector v is [tex]0,27\sqrt{2},27\sqrt{2}[/tex] for the given magnitude and the same direction as u, magnitude direction v = 93 u = 0, 4, 4.
What is a vector?Vector, in physics, a quantity that has both the magnitude and direction. It is typically represented by an arrow whose direction is same as that of the quantity and whose length is proportional to the quantity’s magnitude. Although vector has magnitude and direction, it does not have position. That is, as long as its length is not changed, vector is not altered if it is displaced parallel to itself.
In contrast to vectors, the ordinary quantities that have a magnitude but not a direction are called scalars. For example, displacement, velocity, and acceleration are vector quantities, while speed (magnitude of velocity), time, and mass are scalars.
To qualify as a vector, a quantity having the magnitude and direction must also obey certain rules of combination. One of these is the vector addition, written symbolically as A + B = C (vectors are conventionally written as boldface letters). Geometrically, vector sum can be visualized by placing the tail of vector B at the head of vector A and drawing vector C—starting from tail of A and ending at the head of B—so that it completes triangle. If A, B, and C are the vectors, it must be possible to perform the same operation and achieve the same result (C) in reverse order, B + A = C. Quantities such as the displacement and velocity have this property (commutative law), but there are quantities (e.g., finite rotations in the space) that do not and therefore are not vectors.
Given that,
|v|= 27 and u= 0,4,4
Now unit vector
u= [tex]\frac{u}{|v|}[/tex]=[tex]\frac{0,4,4}{|0,4,4|}[/tex]
=0,4,4/[tex]\sqrt{0^{2}+4^{2}+4^{2} }[/tex] = 0,4,4/ [tex]\sqrt{32}[/tex]
=0/[tex]4\sqrt{2}[/tex],4/[tex]4\sqrt{2}[/tex],4/[tex]4\sqrt{2}[/tex]
=1/[tex]\sqrt{2}[/tex],1/[tex]\sqrt{2}[/tex]
now the vector v in same direction as u means,
v= |v|.u= 27*([tex]0,1/\sqrt{2}, 1/\sqrt{2}[/tex])
Thus,
v= [tex](0,27/\sqrt{2},27/\sqrt{2})[/tex]
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which four items were invented for moving and working in space This is astrology but it didn't give me an option to put that as the subject.
Answer: Innovations originally designed for space vehicles, including artificial muscle systems, robotic sensors, diamond-joint coatings, and temper foam,
Explanation: make artificial human limbs more functional, durable, comfortable, and life-like.
What is the term for the specific set of equations that describe motion in terms of acceleration, displacement, time, and velocity?
The specific set of equations that describe motion in terms of acceleration, displacement, time, and velocity are given as,
v = u + at.
v² = u² + 2as.
s = ut + ½at²
where, v is final velocity, u is initial velocity, t is time , s is displacement , a is acceleration. The above equation shows the equations of linear motion .
The acceleration is defined as ,the change in velocity (Δv) over the change in time (Δt), The unit is [tex]m/s^{2}[/tex]
acceleration (a) = Δv/Δt.
The velocity is defined as the rate of change of displacement .The unit is given by m/s.
Δv= Δx/Δt
In the above equation, Δv is change in velocity, Δx & Δt are the change in distance and time respectively.
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If an electron begins from rest and is accelerated by a field of 0.060 n/c, what is its speed when it collides with a metal atom?
The speed when it collides with a metal atom = 27.5m/s
What is kinetic energy?A particle or item in motion has a form of energy called kinetic energy. When work, which entails the energy transfer is done on an object by applying a net force, that object acquires kinetic energy.
In the electric field, the electron loses potential energy while gaining kinetic energy. You may calculate the kinetic energy as
[tex]K=\frac{m_e v^2}{2}=e E d[/tex]
Here,
[tex]\text { } m_e=9.11 \cdot 10^{-31} \mathrm{~kg}[/tex] is the mass of the electron;
[tex]e=1.6 \cdot 10^{-19} C[/tex] is the charge of the electron;
E is the electric field;
The distance that an electron travels is called d;
When we solve for the electron's speed, we arrive at:
[tex]v=\sqrt{\frac{2 e E d}{m_e}}[/tex]
Calculate yields:
[tex]v=\sqrt{\frac{2 \cdot 1.6 \cdot 10^{-19} C \cdot 0.060 N / C \cdot 3.6 \cdot 10^{-8} \mathrm{~m}}{9.11 \cdot 10^{-31} \mathrm{~kg}}} \approx 27,5 \mathrm{~m} / \mathrm{s}[/tex]
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An aluminum rod of e = 70 gpa and a diameter of 15mm exhibited a strain value of 0.001 mm/mm when subjected to a load p. the value of the load p is most nearly:_______
a. 15000
b. 12000
c. 10700
d. 12370
By elasticity, the most nearly load is D. 12370 N .
We need to know about elasticity to solve this problem. In elasticity, stress can be determined as
σ = e . δ
where σ is stress, e is elastic modulus and δ is the strain
From the question above, we know that:
e = 70 GPa = 70 x 10⁹ Pa
d = 15 mm = 0.015 m
δ = 0.001 mm/mm
Find the stress
σ = e . δ
σ = 70 x 10⁹ . 0.001
σ = 7 x 10⁷ Pa
Find the surface area of the aluminum rod
A = πR²
A = π(0.015/2)²
A = 1.77 x 10¯⁴ m²
Find the load
F / A = σ
F = σ x A
F = 7 x 10⁷ x 1.77 x 10¯⁴
F = 12375 N
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Use the concept of inertia to explain why Newton’s first law of motion is accepted as true
Elemental phosphorus occurs as tetratomic molecules, p4. what mass (kg) of chlorine gas is needed to react completely with 356 g of phosphorous to form phosphorus pentachloride?
The Mass of chlorine gas is [tex]2.60[/tex] × [tex]10^{3}[/tex] [tex]g Cl_{2}[/tex]
Mass of [tex]P_{4}=455 g[/tex]
Phosphorus and Chlorine gas are the reactants.
Phosphorus pentachloride is the product.
[tex]_P_{4}(S)+_Cl_{2}(g) ------- > _PCl_{5}(S)[/tex]
Place 1,10 and 4 as the coefficients of [tex]P_{4} ,Cl_{2} ,[/tex] and [tex]PCl_{5}[/tex]
[tex]_P_{4}(S)+10Cl_{2}(g) ------- > 4PCl_{5}(S)[/tex]
Multiply the calculated number of moles of [tex]Cl_{2}[/tex] by its molar mass. The molar mass of [tex]Cl_{2}[/tex] is 70.90 g/mol.
Mass of [tex]Cl_{2}[/tex] needed = 36.7232 mol [tex]Cl_{2}[/tex] × [tex]\frac{70.90 g Cl2}{1 mol Cl2}[/tex] = [tex]2.60[/tex]×[tex]10^{3}[/tex] [tex]g Cl_{2}[/tex]
What is elemental phosphorus used for?Fertilizers are the principal application for phosphorus, which is used in the form of concentrated phosphoric acid. Additionally, insecticides, detergents, plasticizers, and baking powder all contain phosphorus-based chemicals.
Phosphate is a key component of fertilisers and supports high crop yields. It is essential to the entire agriculture sector and cannot be easily replaced. Phosphate rock mining, however, is occurring at an unsustainable rate. By utilising microorganisms to precipitate the phosphorus, some researchers are attempting to recover phosphorus from wastewaters.
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The full moon is opposite the sun in the sky, and rises as the sun sets. what is the approximate angular separation of the sun and the full moon?
The approximate angular separation of the sun and the full moon is 180°
The full moon is opposite the sun in the sky, and rises as the sun sets is may be understand as ,the Moon can be seen in the day light sky at any phase except for the new moon, when it's invisible to us, and full moon, when it's below the horizon during the day. The crescent through quarter phases are high in the sky during the day, but the daytime gibbous phases can be glimpsed only just before the Sun sets
In the crescent phase, the lit-up part of the Moon increases from 0.1% to 49.9%. is growing, while crescent refers to the curved sickle shape.
The gibbous moon is the phase of moon in that appears more than half lighted but less than full.
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A wave has an angular frequency of 127 rad/s and a wavelength of 2.62 m. calculate (a) the angular wave number and (b) the speed of the wave.
The angular wave number and (b) the speed of the wave is 522.66 m/s.
What is angular wave?Precise wavenumber is an amount in hypothetical material science that is characterized as the quantity of radians per unit distance. Precise recurrence is the rakish dislodging of any component of the wave per unit time. Likewise, in wave wording for a sinusoidal wave, the rakish recurrence alludes to the precise dislodging of any component of the wave per unit time. It is addressed by A recurrence is a rate, thus, the elements of this amount are radians per unit time. Precise hubs are level planes (or cones) where the likelihood of finding an electron is zero. This implies we can't at any point track down an electron in a rakish (or some other) hub. While outspread hubs are situated at fixed radii, precise hubs are situated at fixed points.
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A fan blows the air and gives it kinetic energy. an hour after the fan has been turned off, what has happened to the kinetic energy of the air?
A fan blows the air and gives it kinetic energy, an hour after the fan has been turned off, the kinetic energy turns into thermal energy.
The fact that all energy is conserved causes a heat flow, which raises internal (or thermal) energy, as the air molecules slow and lose kinetic energy.
Kinetic energy, which may be seen in the movement of an object, particle, or group of particles, is the energy of motion. Any moving item uses kinetic energy, such as a person walking, a baseball being thrown, a piece of food falling from a table, or a charged particle in an electric field.
The energy of a body in motion, or kinetic energy (KE), is essentially the energy of all moving objects. Along with potential energy, which is the stored energy present in objects at rest, it is one of the two primary types of energy.
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a bomb dropped from a balloon reaches the ground in 30 sec determine the height of the balloon if it is at rest in the air
As a result, the balloon was 1,410 meters above the ground when it was dropped.
What is dimension of height?Your height, for instance, is one of your dimensions. With a meter stick or tape measure, you can quantify that. We frequently refer to "three-dimensional space," in which we define an area using two dimensions and measure height using a third dimension.
Calculation:The balloon's initial velocity and the bomb's beginning velocity will be equal. We consider downward velocity to be positive and upward velocity to be negative when falling. The balloon in the issue is moving upward at a speed of 100 m/s. Therefore, the initial velocity of the bomb will be -100m/s
Initial velocity of the bomb
u = -100m/s
We know gravitational acceleration
g = 9.8m/s²
Time t = 30s
Required
height , s = ?
Using the equation we get,
[tex]s=u t+\frac{1}{2} g t^2[/tex]
s=(-100m/s)*(30s)+1/2*(9.8m/s²)*(30s)²
s= 1,410 m
As a result, the balloon was 1,410 meters above the ground when it was dropped.
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The complete question is -
A bomb dropped from a balloon reaches the ground in 30seconds .
Determine the height of the balloon if it is at rest in the air and if it is ascending with a speed of 100m/sec when the balloon is dropped.
A 6 kg object has a speed of 24 m/s. What is its kinetic energy?
Answer:
K.E = 1/2mv²
K.E = 1/2 * 6 * 24²
K.E = 1728J
Explanation:
Collin is doing research on animals that camouflage to see what type of camouflage pattern is best for the military to use. what type of research is this? applied descriptive quantitative experimental
Answer: applied
Explanation:
What type of spectrum, if any, would be produced if the light radiated by a heated atomic gas were to be dispersed through a prism?
Complete Question
What type of spectrum, if any, would be produced if the light radiated by a heated atomic gas were to be dispersed through a prism? A. a continuous band of color B. a continuous band of color with some dark lines (missing wavelengths) C. only blue light D. only red light E. discrete lines of different colors
Discrete lines of different colors
What happens to light when dispersed through prism ?When light passes through a heated atomic gas and then dispersed through the prism, A line spectrum is obtained always. This happens because when, heated atoms of the gas will be in excited state, these excited state atoms t will emit lights of specific frequency particular to the gas. Thus, a spectra containing lines of discrete colors is obtained on the screen.
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There is a bell at the top of a tower that is 40m high. The bell weighs 12kg. The bell has ___________________ energy. Calculate it.
Answer:
Potential
Explanation:
hope this helps
a large armadilo started at 23 meters and ended at 56 meters. It took 33.4 seconds to get there
calculate the change in X:
[tex]Δx[/tex]
calculate the velocity of the armadilo:
The change in distance of the armadillo is 33 m and the velocity of armadillo is 0.99 m / s
We know that,
v = Δx / t
Δx = [tex]x_{2}[/tex] - [tex]x_{1}[/tex]
where,
Δx = Change in distance
v = Velocity
t = Time
[tex]x_{2}[/tex] = Final position
[tex]x_{1}[/tex] = Initial position
Given that,
[tex]x_{2}[/tex] = 56 m
[tex]x_{1}[/tex] = 23 m
t = 33.4 s
Δx = 56 - 23 = 33 m
v = 33 / 33.4
v = 0.99 m / s
Change is distance is the amount of distance between initial and final positions. It is denoted using Δx.
Therefore, the change in distance of the armadillo is 33 m and the velocity of armadillo is 0.99 m / s
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The motion of the rocket labeled a is an example of motion with uniform (i.e., constant) __________. and nonzero
a. acceleration
b. velocity
c. position
d. time
The motion of the rocket labeled a is an example of motion with uniform (i.e., constant) velocity and non- zero acceleration.
A body when covers an equal distance with an equal interval of time, this condition of the velocity is known as uniform velocity. Or, we can say that when the direction and magnitude of speed of a body do not change with time, then the body is said to be at uniform velocity.
Having a non-zero acceleration means having any amount of acceleration whatsoever. This could be either positive acceleration or negative acceleration (a.k.a. deceleration).
An object experiences a non-zero acceleration when it is speeding up, slowing down, or remaining at the same speed while changing direction. Any of these three scenarios would result in an object's velocity changing since velocity is the change in an object's position over time, and a change in velocity means the object is experiencing acceleration.
Conversely, an object has zero acceleration when it either remains stationary or moving at a constant speed in a straight line. In both of these scenarios, the velocity of the object is constant, so there is no acceleration.
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what is sine wave or sinusoidal wave? write the general form of sine wave and define each term. requency and speed of this wave.
sine wave or sinusoidal wave -
sine wave can be described as a geometric waveform that oscillates periodically.
It retains its wave shape when added to the another sine wave of the same frequency.
It is a continuous wave.
the general form of sine wave is
y = asin(bx)
where
a is amplitudeamplitude is the maximum displacement from its mean position to extreme position.
b is periodicityPeriodicity is a repeating continuous pattern which determine its wavelength and frequency.
Frequency of sine wave.
1kHz that is sine wave goes through thousand complete cycle in one second.
Speed of sine wave.
Speed = frequency x wavelength
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The speed of a mortorcycle increases from 10 km/hr in 9 seconds. whats is its acceleration?
Acceleration of motorcycle is 4.44 km/sec².
Given that ,
Starting velocity = 10 km/hr
Final velocity = 50 km/hr
Time taken = 9 second
Acceleration of motorcycle = [Final velocity - Initial velocity] / Time taken
Acceleration of motorcycle = [50 - 10] / 9
Acceleration of motorcycle = [40] / 9
Acceleration of motorcycle = 4.44 km/sec².
In the graph above, how does the acceleration at A compare with the acceleration at B?
a. The acceleration at A is positive and less than the acceleration at B.
b. The acceleration at B is positive and less than the acceleration at A.
c. The accelerations at A and B are each zero.
d. The accelerations at A and B cannot be determined.
Option C would be the response to the afore mentioned inquiry. According to the graph, there are no accelerations at A or B.
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Your friend john is 20.0 meters away from you and he is running away from you at 5.0 m/s. you sprint at 7.0 m/s to catch up. how long will it take you to reach him? _______ s
If John is 20.0 meters away from me and he is running away from me at 5.0 m/s. I sprint at 7.0 m/s to catch up. Then, I will take 10 seconds to reach him.
We know that,
Speed = Distance / Time
Time = Distance / Speed
Given that,
My speed = 7 m/s
John's speed = 5 m/s
Distance I need to cover to catch up John = ( 20 + x ) m
Distance John will cover before I catch up to him = ( x ) m
Since the time taken by both of us to reach that point is same,
( 20 + x ) / 7 = x / 5
100 + 5x = 7x
2x = 100
x = 50 m
Time required = Distance / Speed = 50 / 5
Time required = 10 seconds
It will take me 10 seconds to reach John.
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A record is declared as follows: the first letter in the first name is stored in location 1000. each letter takes one location and an integer takes two locations. what is the address of last[2]?
1012, a record is declared as follows: the first letter in the first name is stored in location 1000. Each letter takes one location and an integer takes two locations.
Multiplication and Division of Integers: the merchandise of a positive integer and a negative integer is negative: the merchandise of two positive integers is positive. The product of two negative integers is positive.
They are important because they assist to facilitate certain calculations by including integer negative numbers. In addition, they also include all negative and positive numbers without a percentage point.
The whole numbers are real numbers that don't have fractions, decimals, and negative numbers. It's neither positive integer nor negative. Zero obeys the rule of whole numbers. Positive numbers are greater than 0 and located to the proper of 0 on the variety line.
Negative numbers are but 0 and located to the left of 0 on the variety line. The quantity zero is neither positive nor negative. Zero is neither positive nor negative. It's the sole number with such characteristics.
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The pendulum is a thin ring with a radius of R 10 cm and a mass of m 500 g, suspended on a weightless thin rod with a length of l 0.4 m. Determine the moment of inertia of the pendulum relative to the axis around which the oscillations occur
The moment of inertia of the pendulum is determined as 0.0025 kgm².
What is moment of inertia?
The moment of inertia of an object is defined as a measurement the rotation of the object around a fixed axis.
The pendulum can be modelled as a circular disk and the moment of inertia is calculated as follows;
I = ¹/₂Mr²
where;
M is mass of the pendulumr is the radius of the pendulumI is the moment of inertia of the pendulumSubstitute the given parameters and solve for the moment of inertia of the pendulum.
I = 0.5 X 0.5 kg x (0.1)²
I = 0.0025 kgm²
Thus, the moment of inertia of the pendulum is determined as 0.0025 kgm².
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A compound held together by ionic bonds is called a
a. diatomic molecule
b. polar compound
c. salt
d. covalent molecule
Answer:
its probably covalent compound
The postal service had a special deal. You could ship up to 2 kg for five dollars for a
limited time. For Amy's friend's birthday, Amy wanted to ship her sweets and candy,
and she wanted to get the best bang for her buck. She first made her cookies. They
had a mass of 400 grams. How many kilogram (s) of sweets and candy could Amy
still ship if only the cookies were in the box for the five dollar special?
weight of sweets and candy is 1.6kg
It is given that a total weight of 2 kg is allowed by the postal service
The weight of cookies is given to be 400gm
we know that 1kg =1000gm
400gm= 400/1000 gm =0.4kg
Therefore weight of sweets and candy that Amy can send=
total weight- weight of cookies
=2kg - 0.4kg
=1.6kg
Therefore, weight of sweets and candy is 1.6kg
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Diiodine pentaoxide is used as an oxidizing agent that converts carbon monoxide to carbon dioxide. what is its chemical formula?
The chemical formula of diiodine pentoxide is I2O5.
The chemical compound with the formula I2O5 is known as iodine pentoxide. The only stable iodine oxide is this one, which is the anhydride of iodic acid. It is made by dehydrating iodic acid in a stream of dry air at 200 °C.
2HIO3 = I2O5 + H2O.
At ambient temperature, iodine oxide (I2O5), which is created by dehydrating iodic acid (HIO3), is a white, crystalline solid that is stable up to 300°C (573K). I2O5 is a potent oxidizer. Its structure is described below. Iodine pentoxide is an oxidizing agent that transfers oxygen atoms to substrate. It functions as an oxidizing agent and speeds up the oxidation process by transferring oxygen atoms.
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A certain sample of the mineral galena (lead sulfide) weighs 12.4 g and has a volume of 1.64 cm3 . what is the density of galena?
The density of galena is 7.56 g/cm³.
We need to know about the density to solve this problem. Density can be described as how much the mass is in a volume unit. It can be written
ρ = m / V
where ρ is density, m is mass and V volume
From the question above, we know that
m = 12.4 g
V = 1.64 cm³
By substituting the given parameter, we can calculate the density
ρ = m / V
ρ = 12.4 / 1.64
ρ = 7.56 g/cm³
Hence, the density of galena is 7.56 g/cm³.
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The recommended adult dose of elixophyllin, a drug used to treat asthma, is 6.00 mg/kg of body mass. calculate the dose in milligrams for a 166-lb person.
For a 166-lb person, a dose of 452 milligrams is prescribed to treat asthma.
How would you define asthma?Lung damage is a side effect of asthma. Repeated episodes of coughing, dyspnea, chest tightness, and wheezing are also brought on by it. By taking medication and avoiding the triggers that can set off an attack, asthma can be managed. Outdoor allergens, such as pollen from grass, trees, and weeds, are common asthma triggers. Different allergens and irritants might function as triggers for different people. Dust mites, cockroaches, mold, and pet dander are examples of indoor allergies. Air irritants like smoke, chemical fumes, and powerful scents.
Mass = 166 lb×(453.59 g/1 lb)×(1kg/1000g)=75.30 kg
Dose = 75.30 kg ×(6.00 mg/1 kg)=452 mg
Elixophyllin has a 452 mg dose for a 166 lb person with asthma.
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Explain why the properties of polycrystalline materials are most often isotropic?
Most polycrystalline materials consist of randomly arranged crystals or "grains." Although individual grains have different orientations and behave anisotropic ally by themselves that's why the properties of polycrystalline materials are most often isotropic.
What are polycrystalline materials?Polycrystalline materials, or polycrystals, are solids that are made out of numerous crystallites of shifting size and direction. Most materials are polycrystalline, made of countless crystallites kept intact by meager layers of shapeless strong. Most inorganic solids are polycrystalline, including all normal metals, numerous earthenware production, shakes, and ice. The crystallite size can be determined from the full width at half most extreme force (FWHM) estimated on the adjusted diffraction profile. The guideline of crystallite size estimations by x-beam diffraction depends on the way that the Fourier change of various size crystallites shifts contrarily with the size of the crystallite.
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What is the difference between contact forces and non-contact forces?
Here is the difference between contact forces and non-contact forces:
Contact forces are forces that result from two objects coming into physical contact with each other. Non-contact forces are forces that result from the interaction of objects that are not in contact with each other.
A schematic can tell an electrician that the switches are normally
until the sensor senses smoke.
a. locked
b. open
c. closed
d. charged
The correct answer is Option B) Open.
A schematic can tell an electrician that the switches are normally open
until the sensor senses smoke.
What is a schematic diagram?A simple, understandable graphical representation of a plan or model is called a schematic diagram. Simple lines and symbols are used in schematics to convey details like what, how, and where. A schematic diagram's primary role is to highlight circuit components and the relationships between them. Schematics are a very useful tool for troubleshooting since they show which parts are connected in series or parallel and how.
An example of an electrical switch is one that is normally open. A typically open switch remains "off" when it is not compressed. The inside electrical connections are to blame for this. In a typically open switch, the contacts are open when the switch is off. This indicates that the switch is "off" because the electrical connection is damaged.
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One-half second after starting from rest, a freely falling object will have a speed of about:_________
a. 20 m/s.
b. 10 m/s.
c. 5 m/s.
d. 2.5 m/s.
e. none of these
One-half second after starting from rest, a freely falling object will have a speed of about 5 m/s.
What do you mean by falling object?Falling things include goods, tools, garbage, and rubbish that are blown, dropped, or displaced from heights.
Physical science research frequently involves the study of gravity. Of course, what makes things fall is the force of gravity. A force of attraction between two objects is constant. This pulling force is similar to the pull of gravity.
given free fall from rest i.e.
initial velocity u=0 m/s
acceleration a = 10m/s2
time t=0.5 seconds
we know final velocity v = u + at = 0 + (10 *0.5) = 5m/s
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