The speed of the block with respect to the cart after the spring becomes unreformed is 0.321 m/s.
Find speed of block on cart.We can solve this problem using the conservation of energy principle. The potential energy stored in the spring when it is compressed is converted into kinetic energy of the system when it is released.
The potential energy stored in the spring is given by:
[tex]U = (1/2) k x^2[/tex]
where k is the spring constant and x is the compression of the spring.
In this case, U = (1/2)(320 N/m)[tex](0.2 m)^2[/tex] = 6.4 J.
When the system is released, the potential energy of the spring is converted into kinetic energy of the system. The total kinetic energy of the system can be expressed as:
K = (1/2) m_total[tex]v^2[/tex]
where m_total is the total mass of the system (block + cart) and v is the speed of the block with respect to the cart.
Since the system starts from rest, the initial kinetic energy is zero. Therefore, the total kinetic energy of the system when the spring becomes unreformed is equal to the potential energy stored in the spring:
K = U = 6.4 J
Substituting the values, we get:
(1/2)(40 kg + 84 kg)[tex]v^2[/tex] = 6.4 J
Simplifying:
[tex]v^2[/tex] = (2 x 6.4 J) / 124 kg
[tex]v^2[/tex]= 0.1032
v = √ (0.1032) = 0.321 m/s
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A group of friends wants to go to the amusement park. They have no more
than $325 to spend on parking and admission. Parking is $11, and tickets cost
$39.25 per person, including tax. Use the drop-down menu below to write an
inequality representing p, the number of people who can go to the
amusement park.
Answer:
4x + 3
Explanation:
The number of people who can go to the amusement park is 8.
What is meant by mathematical inequality ?The mathematical expressions with inequalities are those with unequal sides on both sides. Unlike equations, we compare two values when we work with inequality.
Here,
The total amount they have, z = $325
Amount of parking charge, x = $11
Amount for ticket cost, y = $39.25
Let the number of people who can go to the amusement park be p.
So, the expression for the inequality can be written as,
x + yp = z
Applying the values of x, y and z,
11 + 39.25p ≤ 325
39.25p ≤ 325 - 11
39.25p ≤ 314
Therefore, the number of people who can go to the amusement park,
p ≤ 314/39.25
p ≤ 8
Hence,
The number of people who can go to the amusement park is 8.
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Two worlds in the outer solar system that seem remarkably similar to each other are:
Two worlds in the outer solar system that seem remarkably similar to each other are: Triton and Pluto
The outer solar system comprises the next four planets and everything beyond the planet Neptune but within the gravitational pull of the Sun. The Kuiper Belt and the Oort Cloud are also parts of the outer region.
Triton is only slightly larger than Pluto. Both worlds have similar surface materials, such as nitrogen, methane and carbon monoxide. Their diameters, masses and densities are also similar. Both Triton and Pluto may also have originated within the Kuiper Belt. Triton is thought to be originally a Kuiper Belt Object that was captured by Neptune's gravity.
Because Triton and Charon-Pluto are both from the Kuiper belt they are both made of similar materials such as nitrogen, methane, carbon dioxide and water ice. Both have large cores that are made primarily of rock with mantles of water ice and crusts made of frozen nitrogen. Neither of them have a magnetic field.
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2. What is the structure of electric circuits? Can a branch of a circuit contain three elements? Can there be a branch which doesn’t contain any circuit elements21?
First electric circuit means, the circuit has elements like resistors, capacitors, and inductors along with sources. Any electric circuit comprises nodes, branches, and meshes.
The joining point of two elements is called a node. The element between two nodes is called a branch. In branch, only one series element is possible to connect but in parallel, it can have N number of elements. No branch without elements in electric circuits.
A resistor is an electrical aspect that limits or regulates the go with the flow of electrical modern-day in a digital circuit. Resistors can also be used to offer a selected voltage for an energetic device together with a transistor.
The resistor is described as. A passive electrical issue with two terminals that can be used for both limiting or regulating the glide of electric contemporary in electric circuits. the main cause of the resistor is to lessen the modern-day go with the flow and to lower the voltage in any unique part of the circuit.
A resistor works by using proscribing the float of current, it may try this in one in all 3 approaches: first off, by using a much less conductive cloth, secondly by making the conductive fabric thinner, and sooner or later by making the conductive fabric longer.
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A 5.0-kg bar of lead is placed inside a 12-L chamber filled with helium gas. The temperature of the lead and helium is the same. How do the average kinetic energies of the lead atoms and helium atoms compare
As the temperature of the lead and helium is the same. Thus the average kinetic energy is also the same for lead and helium.
Reason:
It is given that a 5.0-kg bar of lead is placed inside a 12-L chamber filled with helium gas. The temperature of the lead and helium is the same. It is required to compare the average kinetic energy of the lead atoms and helium atoms.
The average kinetic energy is calculated as, [tex]K=\frac{3}{2} \frac{R}{N} T[/tex].
Here K is the average kinetic energy, R is the gas constant, N is the Avogadro's number, and T is the temperature.
As the temperature is the same for both lead and helium. As a result, the average kinetic energy is also the same for lead and helium.
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you are the person in charge of building a nuclear power plant in florida. your first choice is to select a
Answer: you are the person in charge of building a nuclear power plant in Florida. your first choice is to select a site for building the power plant.
Explanation: To find the answer, we need to know more about the nuclear power plants and the criteria to select the site for power plant.
What you mean by nuclear power plants?Nuclear power can be defined from the nuclear fission reaction.These power plants will heat the water to produce steam and this steam is used to spin large turbines and thus generates electricity.How to select the site for nuclear power plant?We have to consider the following things,keep distance from populated area.distance from load center.Accessibility to site.Water availability and fuel availability.waste disposal.Thus, we can conclude that, before building a nuclear power plant, our first choice should be to select a site.
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If the freezing point of all ices was at a much lower temperature, what change would that imply for the formation of our solar system?
The gas giants would have to form at a larger distance from the sun this change would that imply for the formation of our solar system.
Why do gas giants form further from the Sun?The larger gas and ice giants have a tendency to form further from the Sun because the regions closer to the Sun are too warm for the lighter gases to condense there. The gas giants' primary characteristic is their extreme distance from the Sun. Because of this, these planets kept the majority of the gas and volatiles that made up the majority of the proto-solar nebula throughout the formation of the Solar System.
In the gas-rich debris disk that envelops a newborn star, gas giants may form. Asteroids and comets collide to form a core, and once this core reaches a certain mass, its gravitational pull quickly pulls gas from the disk to form the planet.
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Describe 4 criteria you would use to compare energy sources.
The 4 criteria you would use to compare energy sources are;
1. It is necessary to assess whether or not they are renewable.
2. It is necessary to be aware of the amount of energy that is provided per energy source unit.
3. You have to be aware of how risky it is to utilize different types of energy sources.
4. It is necessary to be aware of the effects that various types of energy sources have on the surrounding environment.
This is further explained below.
What are energy sources.?Generally, A source from which energy that may be used can be collected or recovered, either directly or by means of a process of conversion or transformation
In conclusion, 1. You must decide if they are renewable or not.
2. You must be aware of the amount of energy provided per unit of energy source.
3. You must be aware of the safety of using various energy sources.
4. Need to understand how various energy sources affect the environment.
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If the lens in a person's eye is too highly curved, this person is suffering from?
If the lens in a person's eye is too highly curved, this person is suffering from: nearsightedness.
lens is a piece of transparent material (such as glass) that has two opposite regular surfaces either both curved or one curved and the other plane and that is used either singly or combined in an optical instrument for forming an image by focusing rays of light.
The lens is used to form an image of an object by focusing rays of light from the object.
Various types of lenses are :
Concave lens.Convex lens.Plano lens.learn more about lens here
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At the end of a quiet inspiration, an additional volume of air can be inhaled. What is this additional amount of air called
Inspiratory reserve volume is the additional amount of air that can be inhaled at the end of quiet inspiration.
Inhalation : The act of drawing air into the lungs during inspiration, also known as inhalation.
By establishing a pressure differential between the lungs and the atmosphere, it is accomplished.
The diaphragm contracts toward the abdominal cavity as air enters the lungs, creating more room in the thoracic cavity for the air to fit.
Inspiratory reserve volume is the additional volume of air that can be maximally inspired after finishing a typical, quiet inspiration.
Or the volume of air that can be inhaled following a regular breath is known as the inspiratory reserve volume.
It is denoted by IRV.
In men average IRV is 3.3 L whereas in women it is about 1.9 L
Hence, Inspiratory reserve volume is the additional amount of air that can be inhaled at the end of quiet inspiration.
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A crate with a mass of 44.0 kg is pushed with a horizontal force of 150 N. The crate moves at a constant speed across a level, rough floor a distance of 5.50 m.
Work done will be 825 N*m
Given:
mass of crate = 44.0 kg
horizontal force = 150 N
distance moved by crate = 5.50 m
To Find:
Work done
Solution: Work is done whenever a force moves something over a distance. You can calculate the energy transferred, or work done, by multiplying the force by the distance moved in the direction of the force.
First we want to find the work, it is given by the force applied times the distance moved, so the work is just:
W = Force x displacement
W = 150N*5.50m
W = 825 N*m
So, work done will be 825 N*m
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Which type of fire suppression system is designed to work in areas where electrical equipment is used and contains pressurized air?
In a dry pipe sprinkler system, pressurized air or nitrogen, rather than water, is used to fill the pipes. This air maintains the closed position of a remote valve, also referred to as a dry pipe valve.
The dry-pipe valve, which is situated in a hot area, keeps water from flowing into the pipe until a fire triggers the operation of one or more sprayer. When this occurs, the dry pipe valve releases and the air leaves. After that, water enters the pipe and pours onto the flames through open sprinklers.
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What is the lowest acceptable overvoltage category rating for an ammeter that will be used to test outdoor conductors
CAT IV is the lowest acceptable overvoltage category rating for an ammeter.
What is CAT IV rating?According to IEC 1010 and UL61010-1 standards, the overvoltage installation categories for low voltage systems of less than 1000 Volts test equipment are described by the CAT III & IV ratings. This describes a component's capacity to withstand transient or impulsive voltage. Our voltage indicators meet the necessary standards to be utilized as permanently mounted test equipment for fixed installations such switchgear, MCCs, bus and feeder in industrial plants, and low voltage connections to utility power.
A component can be positioned or utilized further downstream from the voltage source the lower the number, which also indicates how much less impulse it can withstand. Installation at the origin or at the utility level falls under CAT IV, the highest classification. Our products have a 600V at CAT IV.
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The weight of a hydraulic barber's chair with a client is 2000 N. When the barber steps on the input piston with a force of 40 N, the output plunger of a hydraulic system begins to lift the chair. Determine the ratio of the radius of the output plunger to the radius of the input piston.
Answer: The weight of a hydraulic barber's chair with a client is 2000 N. When the barber steps on the input piston with a force of 40 N, the output plunger of a hydraulic system begins to lift the chair. Then the ratio of the radius of the output plunger to the radius of the input piston will be 7.07.
Explanation: To find the answer, we have to know more about the Pascal's law and the hydraulic lift.
What is pascal's law and how it is used in case of hydraulic lift?The law states that, the pressure exerted at any point on an enclosed liquid is transmitted equally in all directions.A hydraulic lift consists of two cylinders connected to each other by pipe.If the force F1 applied on the smaller piston of area A1, the pressure exerted will be,[tex]P_1=\frac{F_1}{A_1}[/tex]
By pascal's law, the pressure transmitted to the large piston of large area A2 will be,[tex]P_2=\frac{F_2}{A_2}[/tex]
Then,[tex]\frac{F_2}{A_2} =\frac{F_1}{A_1}[/tex]
How to solve the problem?We have to find the ratio of the radius of the output plunger to the radius of the input piston.We have the equation for this as,[tex]\frac{A_{Plunger}}{A_{piston}} =\frac{F_{Plunger}}{F_{piston}}[/tex]
[tex]\frac{R_{Plunger}}{R_{piston}}=\sqrt{ \frac{F_{Plunger}}{F_{piston}}}=\sqrt{\frac{2000}{40} } =7.07[/tex]
Thus, we can conclude that, the ratio of the radius of the output plunger to the radius of the input piston will be 7.07.
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When a car driving up a hill with constant speed: I. its kinetic energy is decreasing. II. its potential energy is constant. III. its total mechanical energy is constant. Group of answer choices II I III none of the above
A car driving up a hill at a constant speed experiences no change in its kinetic energy while it's potential energy increases with increasing height, thus none of the options are correct.
Understanding the concept
Consider a car moving up the hill at a constant speed as shown in the figure below. The following forces act on the car:
N is the normal reaction force acting in an upward directionf_s is the static friction force exerted due to friction between the road and the tires of the carf_k is the rolling friction force in the direction opposing that of the tiremg is the force acting in a downward direction.θ is the angle of inclination.Here as the car is moving up the hill at a constant speed, the net force exerted on the car is zero. Also, the kinetic energy of the car will not change as its velocity is constant and the potential energy will change with increasing height. Thus, none of the given options are correct.
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convert 14 mg to kg ....
14mg = 14 × 10^-3 g
= 14 × 10^-3 / 10^3 kg
= 14 × 10^-6 kg
= 0.014 kg
☆...hope this helps...☆
_♡_mashi_♡_
Answer:
0.000014 kg
Explanation:
Calculate the “index of refraction” of a medium where the speed of light through it is 1.24 x 108 m/s. Use the GRASS method, write your solution on paper and insert an image of it below
The index of refraction of the medium where the speed of light is 1.24× 10⁸m/s, is 2.42.
To find the answer, we need to know about the relation between the refractive index and velocity of light.
What's the the expression of refractive index of a medium in term of velocity of light?Refractive index of any medium (n)= C/VC= speed of light in vaccum which is 3×10⁸ m/s , V = velocity of light in the mediumWhat's the refractive index of a medium in which speed of light is 1.24 x 10⁸ m/s?Refractive index of the medium =
3×10⁸/1.24 x 10⁸
= 2.42
Thus, we can conclude that the refractive index of the medium is 2.42.
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what is coulomb law explain it
Coulomb law depicts the mathematical relationship between the electric force and the charged objects.
What is Coulomb law?This law states that the electric force is directly proportional to the product of the charged objects.
The electric force is also inversely proportional to the square of the distance between the charges and is denoted below:
F= kq1q2/ r²
where :
F=electric force
k=Coulomb constant
q1, q2=charges
r=distance of separation
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The ___________ is a plane perpendicular to the optic axis through the focal point.
The focal plane is a plane perpendicular to the optic axis through the focal point.
What is focal plane?
The focal plane is the distance between your camera lens and the perfect point of focus in an image. This area is located a certain distance in front of your camera lens, and spans horizontally, left to right across your frame.What is focal plane and lens?
The focal plane is the one in which each focus is most likely to be located. The focal plane houses the lens' focus. The primary axis of the lens and the focus plane are perpendicular. The focal length of the lens determines how far the focal plane is from the lens.Learn more about focal plane
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Example of a solid that sunlines is ( ? )
An example of a solid that sunlines is a billboard.
What is a billboard?A billboard simply refers to a very large board which is usually, frequently and most of the time used for displaying advertisements
So therefore, an example of a solid that sunlines is a billboard
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Write an expression for the x-component of acceleration of the given velocity field as a function of x, y, z, and/or t.
Write an expression for the x-component of acceleration of the given velocity field as a function of x, y, z, and/or t.
v={4yti-2xtj}m-s
what is acceleration vector?We frequently wish to know an object's acceleration vector at any point along its trajectory in addition to its displacement and velocity vectors. This acceleration vector, which represents the instantaneous acceleration, may be found by taking the velocity function's derivative with respect to time, as we saw in the previous chapter. The fact that these are now vector quantities is the only variation in two or three dimensions. The same approach that was demonstrated in the previous chapter for one-dimensional motion can be used to tackle multidimensional motion with constant acceleration. As we previously demonstrated, motion in three dimensions is comparable to motion in three one-dimensional space along axes that are all perpendicular to one another.
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A see-saw is balanced on its
midpoint. A 22.4 kg kid sits on the left, 1.75 m from the axis. A second kid sits on the other side, 1.22 m from the axis. What is the mass of the second kid?
Answer:
W1 L1 = W2 L2 equation for balancing torques
M1 g L1 = M2 L2 g
Or M2 = M1 * 1.75 / 1.22 = 1.43 M1 = 32.1 kg
In an MRI, the magnetic field B is generated by a solenoid of length 100 cm and diameter of 90 cm. The B field generated is one (1) T. The largest current the wire can carry is 76 A. _____ turns of solenoid is needed.
Given,
L=100 cm=0.1 m
D=90 cm
B=1 T
I=76 A
B*L=μnI
1 *0.1= 4π*[tex]10^{-7}[/tex]*n*76
n= 1047
So the turns of solenoid needed is 1047.
SolenoidA solenoid with infinite length but finite diameter is said to be infinite. In this abstraction, the solenoid is frequently seen as a cylindrical sheet of conductive material. The term "continuous" refers to the fact that the solenoid is not made up of discrete coils with finite widths but rather numerous infinitely thin coils joined together without any gaps. An indefinitely long solenoid has a homogenous magnetic field inside of it that is independent of the cross-sectional area or the distance from the axis. This is a long enough derivation of the magnetic flux density surrounding a solenoid that fringe effects may be disregarded.
In an MRI, the magnetic field B is generated by a solenoid of length 100 cm and diameter of 90 cm. The B field generated is one (1) T. The largest current the wire can carry is 76 A. 1047 turns of solenoid is needed.
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deidre walked her dog a distance of 95 meters to the north. the walk took 45 seconds. what was their velocity
Velocity of Deidre and her dog is 2.11m/s.
What is velocity?Velocity is the rate of change of position of an object in a particular frame of reference Mathematically, velocity of an object = Displacement of the object/time taken What is velocity of Deidre and her dog ?The distance covered by Deidre and her dog is 95 meter towards north.The time taken to cover the distance is 45 second.So velocity of Deidre and her dog =95/45=2.11m/s
Thus , we can conclude that the velocity of Deidre and her dog is 2.11 m/s towards north .
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A car travels around an unbanked highway curve (radius 0.15 km) at a constant speed of 25 m/s. What is the magnitude of the resultant force acting on the driver, who weighs 0.80 kN
The magnitude of the resultant force acting on the driver, who weighs 0.80 kN
What is resultant force:The total amount of force acting on the object or body along with the direction of the body.
The formula for the resultant force vector is given by Newton's Second law. F=ma.
here
speed, v = 25 m/s
radius, r = 0.15 km = 150 m
weight, w = 0.80 kN = 800 N
we know that,
W = m*g
800 = m * 9.8
m = 800 / 9.8
m = 81.63 kg
magnitude of the resultant force:
F = m*v^2 / r
F = 81.63 * 25^2 / 150
F = 340.13 N
F = 0.34 kN
hence,
The magnitude of the resultant force acting on the driver, who weighs 0.80 kN
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The position of a car at time t is given by the function p(t)=t2 2t−4. What is the velocity when p(t)=11? assume t≥0
The velocity when function p(t)=11 is 8 .
According to the question
The position of a car at time t represented by function :
[tex]p(t)=t^{2} +2t-4[/tex]
Now,
When function p(t) = 11 , t will be
[tex]p(t)=t^{2} +2t-4[/tex]
11 = t²+2t-4
0 = t² + 2t - 15
or
t² +2t-15 = 0
t² +(5-3)t-15 = 0
t² +5t-3t-15 = 0
t(t+5)-3(t+5) = 0
(t-3)(t+5) = 0
t = 3 , -5
as t cannot be -ve as given ( t≥0)
so,
t = 3
Now,
the velocity when p(t)=11
As we know velocity = [tex]\frac{position}{time}[/tex]
therefore to get the value of velocity from function p(t)
we have to differentiate the function with respect to time
[tex]\frac{d(p(t))}{dt} =\frac{d}{dt} (t^{2} +2t-4)[/tex]
v(t) = 2t + 2
where v(t) = velocity at that time
as t = 3 for p(t)=11
so ,
v(t) = 2t + 2
v(t) = 2*3 + 2
v(t) = 8
Hence, the velocity when function p(t)=11 is 8 .
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The kinetic energy of a 23.2-g object moving at a speed of 81.9 km/hr is ________ j.
Taking into account the definition of kinetic energy, the kinetic energy of a 23.2 g object moving at a speed of 81.9 km/hr is 6.004 J.
Kinetic energyKinetic energy is a form of energy. It is defined as the energy associated with bodies that are in motion and this energy depends on the mass and speed of the body.
This is, kinetic energy is defined as the amount of work necessary to accelerate a body of a certain mass and in a position of rest, until it reaches a certain speed. Once this point is reached, the amount of accumulated kinetic energy will remain the same unless there is a change in speed or the body returns to its state of rest by applying a force.
Kinetic energy is represented by the following formula:
Ec = ½ mv²
Where:
Ec is kinetic energy, which is measured in Joules (J).m is mass measured in kilograms (kg). v is velocity measured in meters over seconds (m/s).Kinetic energy in this caseIn this case, you know:
Ec= ?m= 23.2 g= 0.0232 kg (being 1 g= 0.001 kg)v= 81.9 km/h= 22.75 m/s (being 1 km/h= 0.277778 m/s)Replacing in the definition of kinetic energy:
Ec = ½ 0.0232 g×(22.75 m/s)²
Solving:
Ec= 6.004 J
Finally, the kinetic energy of a 23.2 g object moving at a speed of 81.9 km/hr is 6.004 J.
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A total electric charge of 4.00 nC is distributed uniformly over the surface of a metal sphere with a radius of 26.0 cm. The potential is zero at a point at infinity.
for what we can get from our side then we will see if they are being made in a letter or something which is leading enormous growth in cities with brick and its own way that it will not on the market and its not a good life for us to stay in and
It's a duty of the AHJ to
A. make revisions to the Code.
B. interpret NEC rules.
C. review installation designs and determine if they fall under Code jurisdiction
D. ensure the suitability of installations for future expansion.
The duty of the AHJ is to: (C). review installation designs and determine if they fall under Code jurisdiction
Meaning of AHJAHJ can be defined as that means Authority Having Jurisdiction
AHJ can be defined as an organization, office, or individual that are responsible for the issuance of permits, enforcing the requirements of a code or standard and approving materials or a procedure.
In conclusion, The role of the AHJ are outlined in the paragraph above.
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Four identical lab carts each have a mass of 200 kg. different masses are added to the carts and the velocities are measured. all carts move to the right. an illustration with four carts labeled cart a, cart b, cart c, and cart d. cart b has a 20 kilogram mass in it, cart c has a 40 kilogram mass in it, and cart d has a 60 kilogram mass in it. there are labels under each cart. under cart a is v = 4.8 meters per second, under cart b is v = 4.0meters per second, under cart c is v = 3.8 meters per second, and under cart d is v = 3.5 meters per second. which cart has the greatest momentum? cart a cart b cart c cart d
Cart A has the greatest momentum.
What is momentum?The definition of momentum is "mass in motion." Since every item has mass, if it is moving, it must have momentum because its mass is in motion. Mass and velocity are two factors that affect momentum. According to an equation, an object's momentum is determined by multiplying its mass by its velocity.
p = mv
p = momentum
m = mass
v = velocity
Calculation:Cart A
m₁ = 200 kg
v₁ = 4.8 m/s
p₁ = 200 × 4.8
p₁ = 960 kg-m/s
Cart B
m₂ = 200 + 20 = 220 kg
v₂ = 4 m/s
p₂ = 220 × 4
p₂ = 880 kg-m/s
Cart C
m₃ = 200 + 40 = 240 kg
v₃ = 3.8 m/s
p₃ = 240 × 3.8
p₃ = 912 m/s
Cart D
m₄ = 200 + 60 = 260 kg
v₄ = 3.5 m/s
p₄ = 260 × 3.5
p₄ = 910 kg-m/s
Hence concluded, cart A has the greatest momentum.
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If we wanted to improve the efficiency of technology to reduce electrical power consumption. The sectors we would choose are?
If the efficiency of technology was to be improved in other to reduce electrical power consumption, the sectors which would be chosen is referred to as residential and commercial.
What is Technology?This is defined as the application of science to the practical aims and activities of human life. Power on the hand is defined as the amount of energy which is transferred per unit time and the S.I unit is referred to as Watts.
It can be inferred that electric power consumption is most abundant in residential and commercial sectors due to the number of appliances and hours which are present and used in this area.
It is therefore appropriate to focus on these two sectors so as to achieve the aim of an efficient technology in reduction of electrical power consumption.
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