The work done on the object moving in the xy-plane that is subjected to the given applied force is determined as (2ab²i + 3b²j) J.
Magnitude of the force on the objectThe magnitude of the force on the object is calculated as follows;
f = (2xyi + 3yj)
when;
x = a, and y = b
f = (2abi + 3bj)
Work done by the forceThe work done the applied force is the product of force and displacement of the object.
W = fΔs
where;
Δs is displacement of the objectΔx = a - a = 0
Δy = 0 - b = -b
Δs = √(Δx² + Δy²)
Δs = √(-b)²
Δs = b
W = (2abi + 3bj) x b
W = (2ab²i + 3b²j) J
Thus, the work done by the applied force on the object is (2ab²i + 3b²j) J.
The complete question is below;
An object moving in the xy-plane is subjected to the force f = (2xyi + 3yj), where x and y are in m. The particle moves from the origin to the point with coordinates (a, b) by moving first along the x-axis to (a, 0), then parallel to the y-axis. How much work does the force do?
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The work done on an item moving in the xy-plane that is subjected to a particular force is found as (2ab²i + 3b²j) J.
What is work done?Work done is defined as the product of applied force and the distance through which the body is displaced on which the force is applied.
Work may be zero, positive, and negative.it depends on the direction of the body displaced. if the body is displaced in the same direction of the force, it will be positive.
The given data in the problem is;
F is the force applied; f⃗ = (2xyi + 3yj)
Work done is found as the product of force and the body displacement;
[tex]\rm W = F \triangle S[/tex]
As the object is moving in the xy- plane. Displacement in the x direction;
[tex]\rm \triangle x = a-a \\\\ \triangle x =0[/tex]
Displacement in the y direction;
[tex]\rm \triangle y = 0-b \\\\ \rm \triangle y = -b \\\\[/tex]
The net displacement in the xy plane is;
[tex]\rm \triangle s= \sqrt{(\triangle x)^2+(\triangle y)^2 } \\\\\ \rm \triangle s= \sqrt{(0)^2+(-b)^2 } \\\\\ \triangle s= \sqrt{b^2} \\\\ \triangle s=b[/tex]
The work done is found as;
[tex]\rm W= F \triangle S \\\\ W=( 2 ab \vec i+3b \vec j) \triangle S\\\\ W= W=( 2 ab \vec i+3b \vec j) b \\\\\ W=(2ab^2 \vec i + 3b^2 \vec j)\ J[/tex]
Hence, the work done on an item moving in the xy-plane will be,[tex]\rm W=(2ab^2 \vec i + 3b^2 \vec j)\ J[/tex]
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two cars have the same mass, but one is traveling 3 times as fast as the other. how much more kinetic energy does the faster car have
Answer:
9 times the KE
Explanation:
KE = 1/2 mv^2 now triple 'v'
KE = 1/2 m 9 v^2
Which Tesla would be faster?
(A) Stock 2022 Tesla Roadster
(B) Tesla Model S PLAID with space X package
Hello, I need help. Due right now
A 1383-kg car moving south at 11.2m / s is struck by a 1732-kg car moving east at 31.3m/s. After the collision, the cars are stuck together. How fast and in what direction do they move immediately after the collision? Define the system as the two cars.
Answer: See below
Explanation:
[tex]\\ \mathrm{Given:} \\\mathrm{Mass \ of \ first \ car}$\left(m_{1}\right)=1383 \mathrm{~kg}$ \\ Velocity $\left(\overrightarrow{V_{1}}\right)=-11.2\ {\math} \mathrm{m} / \mathrm{s}$\\ Mass of second car -$\left(m_{2}\right)=1732 \mathrm{~kg}$\\ Velocity $\left(\vec{v}_{2}\right)=31.3 {\math} \mathrm{m} / \mathrm{s}$[/tex]
[tex]m_{1} \vec{v}_{1}+m_{2} \vec{v}_{2}=\left(m_{1}+m_{2}\right) \vec{v} \\1383(-11.2 {\math})+1732(31.3 {\math}) \\=(1383+1732) \vec{v} \\-15489.6 {\math}+54211.6 {\math}=3115 \vec{v} \\ \vec{v}=(17.4 {\math}-4.972 {\math}) \ \mathrm{m/s}[/tex]
[tex]\text { So magnitude } \vec{|v|} =\sqrt{(17.4)^{2}+(-4.972)^{2}} \\ =\sqrt{327.605} \\ =18.099 \mathrm \ {m/s} \\[/tex]
[tex]\text { Direction } \\\theta=\tan ^{-1}\left(\frac{-4.972}{17.4}\right) \\\theta=-15.945^{\circ}\end{gathered}[/tex]
Therefore, both cars move with a velocity of 18.099 m/s in the direction of 15.945° downward from the x-axis (east)
Answer:
Explanation:
Apply conservation of momentum in N-S direction:
Initial momentum: 1383*(-11.2) + 1732*(0) = -15490
Final momentum: (1383 + 1732) * Final N-S velocity = -15490
Final velocity = 1549/(1383+1732) = -4.97 m/s (-ve means South)
Repeat the same for E-W direction:
Initial momentum: 1383*(0) + 1732*(31.3) = 54211.6
Final momentum: (1383 + 1732) * Final E-W velocity = 54211.6
Final velocity = 54211.6/(1383+1732) = 17.4 m/s (+ve means East)
Combining, the final velocity = sqrt (-4.97^2 + 17.4^2) = 18.10 m/s
at direction of arctan(17.4/4.97) = 74 degree South of East.
Don’t actually comment on this unless you are willing to help!
Describe how we receive colors from the various object observed in our world. Discuss how we receive colors from objects... https://brainly.com/question/27082331
Cars enter a car wash at a mean rate of 33 cars per half an hour. What is the probability that, in any hour, exactly 22 cars will enter the car wash? round your answer to four decimal places
Answer:Cars enter a car wash at a mean rate of 4 cars per half an hour.
Explanation:
The probability that, in any hour, exactly 22 cars will enter the car wash will be 0.0920.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1.
Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
The mean rate of car is,[tex]\rm \lambda = 66 \ car/hour[/tex]
[tex]P(x=K) = \frac{8^k e^{-8}}{k\!}\\\\P(x=22) = \frac{66^{22} e^{-22}}{22\!}\\\\ P(x=22)=\frac{0.000000000000691\times 1.07\times 10^{40}}{22} \\\\\ P(x=22)=0[/tex]
Hence the probability that, in any hour, exactly 22 cars will enter the car wash will be 0
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Red light has a wavelength of (7. 21x10^7)m. What is the frequency of this light?
Answer:
TO answer this question i need wave speed
Explanation:
While on an ice-fishing trip, you find yourself holding a 10 kg fish but stuck in the middle of
the lake. The ice is perfectly smooth and you cannot walk or shuffle your feet towards the
shore. But because you understand Newton's Laws, you are still able to make it back to shore. A
Briefly explain what did you did. Why did it worked? (Please include directional words such as
up/down, towards/away from shore, left/right, etc.)
The forward force you exert on the fish and your backward action will allow you to reach the shore.
Newton's third law of motionNewton's third law of motion states that for every action, there is an equal and opposite reaction.
Fa = -Fb
Let's assume the fish is held in the hook, this will give you the opportunity to throw the fish forward while still holding it.
When the the fish is thrown forward, you will move backwards with an equal force based on Newton's third law. Your backward momentum towards the shore will help to maintain equal linear momentum between you and the fish.
Thus, this forward force of the fish and your backward action will allow you to reach the shore.
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A 1000 kg rocket carrying 25 kg of fuel and oxygen rises at a velocity of 305 m/s. If all the mass of fuel and oxygen is burned to form gases of combustion, what is the downward velocity of these gases?
If all the mass of fuel and oxygen is burned to form gases of combustion, the downward velocity of these gases would be 12,505 m/s.
Conservation of linear momentumThe principle of conservation of linear momentum states that, the total momentum of an isolated system is constant.
The downward velocity of thes gases is calculated as follows;
v1(m1 + m2) = v2(m2)
305(1000 + 25) = v2(25)
312,625 = 25v2
v2 = 312,625/25
v2 = 12,505 m/s
Thus, If all the mass of fuel and oxygen is burned to form gases of combustion, the downward velocity of these gases would be 12,505 m/s.
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The voltage across the primary winding is 6000 v. if the primary winding has 50 coils and the secondary winding has 20 coils, what is the secondary voltage? 120 v 2400 v 15,000 v 120,000 v
if the primary winding has 50 coils and the secondary winding has 20 coils then the secondary voltage will be equal to 2400V
What is voltage?Voltage is defined as the potential difference which apply a force on the charge to flow in the circuit.
This is a question on transformer. A transformer is a device used to step up or step down current and voltage. It consists of the primary windings and secondary windings. Each windings possesses both coil and amount of voltage across each coil.
The transformer formula is
[tex]\dfrac{V_S}{V_P}=\dfrac{N_S}{N_P}[/tex]
Where;
Vs is the voltage across the secondary coil
Vp is the voltage across the primary coil
Ns is the number of turn in the primary coil
Np is the number of turns in the primary coil.
According to the question,
Vs is unknown
Vp is 6000V
Ns is 20turns
Np is 50turns
Substituting the values in the formula given
[tex]\dfrac{V_S}{6000}=\dfrac{20}{50}[/tex]
Vs = 2400V
Therefore the secondary voltage is 2400V
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Answer:
2400
Explanation:
edge 2022
HELP
1. Which of the following is most useful in determining the kinetic energy of a 50 g battery- powered car
traveling a distance of 10 m?
A) Beaker
B) Voltmeter
C) Thermometer
D) Stopwatch
The stopwatch will be the most useful in determining the kinetic energy of a 50 g battery- powered car traveling a distance of 10 m.
What is kinetic energy?Kinetic energy is the energy of a body possessed due to motion.
This means that for an object to possess kinetic energy, it must be in motion.
The kinetic energy is measured in Joules, which is a product of the mass of the substance and the time taken to travel a distance.
A stopwatch is an instrument used to measure time as one of the components of kinetic energy.
Therefore, the stopwatch will be the most useful in determining the kinetic energy of a 50 g battery- powered car traveling a distance of 10 m.
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how can you say metre cube is a derived unit
Answer:
The newton (lowercase n!) is a derived unit because its definition consists of multiplication of three defined base units and nothing else. Its meaning is thus derived, not independently defined.
Identify the names, charges, and location of three types of subatomic particles that make up an atom.
Answer:Proton (charge of +e, in the nucleus), Neutron (0 charge, in the nucleus), and Electron (charge of –e, outside the nucleus).Nov 13, 2015
Explanation: YA
Protons are positive and in the center ( nucleus)
Neutrons have no charge and are also in the center (nucleus)
Electrons are negative and orbit around the nucleus
explain why the age of the ocean floor bedrock increases as the distance from the mid-atlantic ridge increases?
Answer:
The age of the bedrock increases the further you get away from the mid atlantic ridge because it is at the ridge that the new bedrock is formed. At the Ridge, the diverging plates cause magma to rise up and harden, forming new bedrock. As this happens, the older bedrock is pushed outwards, further and further away from the Ridge.
Explanation:
Hope it helps.
What resource is used to make fertilizers and other products such as toothpaste and insecticides?
Coal
Limestone
Phosphate
Silica
Answer:
Silica
Explanation:
The most commonly used abrasives are hydrated silica (softened silica), calcium carbonate (also known as chalk), and sodium bicarbonate (baking soda).
amy bought 3 body lotions and 7 body spray for 80 jessica bought 6 body lotion and 3 body spray for 63.75 how much does one body spray cost
Answer:
Each body spray cost $ 21.25
Explanation:
where is A what is the answer?
What state of matter (solid, liquid or gas) are most metals?
Answer:
solid
Explanation:
Solid is the most common state of matter in most metals at room temperature.
please hurry I will be forever grateful <3
List some advantages and disadvantages of series and parallel circuits.
Advandages:
1. Every unit that is connected in a parallel circuit gets equal amount of voltage.
2. It becomes easy to connect or disconnect a new element without affecting the working of other elements.
3. If any fault happened to the circuit, then also the current is able to pass through the circuit through different paths.
Disadvantages:
1. It requires the use of lot of wires.
2. We cannot increase or multiply the voltage in a parallel circuit.
3. Parallel connection fails at the time when it is required to pass exactly same amount of current through the units.
Do u think heaven is real?
Answer:
Yes, heaven is for real – and it is heaven, indeed, because we have the hope and assurance of meeting Jesus face-to-face. In the meantime, let’s not just read books and watch movies about the reality of heaven – let’s tell as many people as we can, as often as we can, about the place that will be greater than we can possible imagine.
A uniform solid sphere has mass m= 7 kg and radius r= 0. 4 m. What is its moment of inertia about an axis tangent to its surface?
The moment of inertia of a uniform solid sphere is equal to 0.448 [tex]kgm^2[/tex].
Given the following data:
Mass of sphere = 7 kg.
Radius of sphere = 0.4 meter.
How to calculate moment of inertia.Mathematically, the moment of inertia of a solid sphere is given by this formula:
[tex]I=\frac{2}{5} mr^2[/tex]
Where:
I is the moment of inertia.m is the mass.r is the radius.Substituting the given parameters into the formula, we have;
[tex]I=\frac{2}{5} \times 7 \times 0.4^2\\\\I=2.8 \times 0.16[/tex]
I = 0.448 [tex]kgm^2[/tex].
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What is the speed of a wave that has a frequency of 173 Hz and a wavelength of 2. 59 meters? Express your answer to the nearest whole number. M/s.
The speed of the wave will be v= 448.07 m/s
What is speed of the wave?The speed of the wave is defined as the distance traveled by the wave with respect to the time.
The frequency is defined as the number of cycles per seconds it is calculated in hertz
The distance between two successive troughs or crests is known as the wavelength. The peak of the wave is the highest point, while the trough is the lowest.
Now frequency = 173 hertz
wavelength = 2.59 m
The velocity will be given by the formula:
[tex]v=\lambda\times f[/tex]
[tex]v=173\times 2.59=488.07 \ \frac{m}{s}[/tex]
Thus the speed of the wave will be v= 448.07 m/s
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Suppose that it takes a simple pendulum 1.2 seconds to swing from its leftmost point to its rightmost point. what is the period of the pendulum
The time period of the simple pendulum is 2.4 seconds.
Given the data in the question;
Time taken to swing from leftmost point to rightmost point; [tex]t = 1.2s[/tex]Period of the pendulum; [tex]T = \ ?[/tex]What is Period?Period is the time needed for a complete cycle of vibration to pass a given point.
Period of a pendulum is the of time needed for it to complete one full back-and-forth motion. It is the time required to for the pendulum to swing from leftmost point to rightmost point and back to leftmost point.
Now, if it took the pendulum [tex]1.2s[/tex] to swing from leftmost point to rightmost point, it will also take the pendulum [tex]1.2s[/tex] to swing back to its original position( leftmost point )
Hence,
[tex]T[/tex] = time taken to swing from leftmost to rightmost + time taken to swing from rightmost point to leftmost point.
[tex]T = 1.2s + 1.2s\\\\T = 2.4s[/tex]
Therefore, the time period of the simple pendulum is 2.4 seconds.
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Water has a heat capacity or 4.184 j/g C. If 50 g of water has a temperature of 30C and a piece of hot copper is added to the water causing the temperature to increase to 70C. What is the amount of heat absorbed by the water.
Answer:
Ethanol C2H5OH or propane C3H8 have more energy
Explanation:
Pure substances can be made of atoms that are attracted to each other or atoms that are not attracted to each other. Which type of pure substance can create elaborate structures? (1 point)
Atoms that are attracted to each other because the bonds that form between them can support the creation of the structure.
Atoms that are attracted to each other because they will mix together to form a mixture with a different structure.
Atoms that are not attracted to each other because they will form bonds with each other and create a larger structure.
Atoms that are not attracted to each other because they will stay still and end up laying on top of each other.
The type of pure substances that can create elaborate structures is :
( D ) Atoms that are not attracted to each other because they will stay still and end up laying on top of each other.
What is an Elaborate structure ?An elaborate structure is a complex structure formed by the combination of different unrelated parts. Atoms that are un attracted to each other are made of different parts therefore when they come together they will lay on each other, forming an elaborate structure which is complex in nature.
Hence we can conclude that the type of pure substance that can create elaborate structures is Atoms that are not attracted to each other because they will stay still and end up laying on top of each other.
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Velocity of an object of mass 5 kg increases from 3 m/s to 7 m/s on applying a force continuously for 2 s. Find out the force applied. If the duration for which force acts is extended to 5 s, what will be the velocity of the object then?
Answer:
Force=10N
Velocity=13m/s
Explanation:
Given,
Mass = 5kg
initial velocity=3m/s
Final velocity=7m/s
Time=2s
Now acceleration= v-u/t
=7-3/2
=4/2
=2m/s²
So, acceleration=2m/s²
Now,
F=ma
=5*2
=10N
What is the equation for finding the amount of inertia in forces and motion? Explain how you solve that equation.
Answer:
Inertia = angular momentum / angular velocity
Is an electron cloud bigger than an atom?
Answer:
no
Explanation:
An electron is one of the components of an atom, so it cannot be larger than that.
Answer:
No, it's not.
Explanation:
The tightly packed nucleus is 100,000 times smaller than the electron cloud.
The key differences between rotational kinematics and translational kinematics is: A. Rotational kinematics must specify an axis of rotation and objects return to their initial position with successive revolutions. B. Rotational kinematics must specify an axis of rotation and is only applied to rigid objects, not particles. C. Rotational kinematics analyzes both the tangential acceleration as well as the centripetal acceleration and translational kinematics analyzes only the tangential acceleration. D. Rotational kinematics must specify an axis of rotation and uses only dimensionless units
In Translational motion, the body moves in a straight line whereas in Rotational motion, the body moves in a circular path.
Differences between rotational kinematics and translational kinematicsIn Translational motion, the body moves in a straight line and the body same displacement in equal interval of time while on the other hand, in Rotational motion, the body moves in a circular path and the body travels same angular displacement in equal interval of time..
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Consider the following statements. A. Heat flows from an object in liquid state to an object in solid state; B. Heat flows from an object with higher thermal energy to one with lower thermal energy; C. Heat flows from an object at higher temperature to an object at lower temperature. Which statements are true? 1. A and B only 2. C only 3. None is true. 4. All are true. 5. A and C only 6. A only 7. B and C only 8. B only
The following statements regarding heat transfer are true:
Heat flows from an object with higher thermal energy to one with lower thermal energyHeat flows from an object at higher temperature to an object at lower temperatureWhat is heat transfer?Heat transfer is the movement of heat from one body to another due to difference in temperature between the bodies and its surroundings.
Heat transfer occurs in every body which is made up of atoms and molecules.
However, heat can only be transferred from regions of higher temperature to lower temperature.
Therefore, the following statements regarding heat transfer are true:
Heat flows from an object with higher thermal energy to one with lower thermal energyHeat flows from an object at higher temperature to an object at lower temperature.Learn more about heat transfer at: https://brainly.com/question/13433948
what does the word Cala stands for
Answer:
Caribbean and Latin America Region
Explanation: