The derived formulas for the final velocity of the carts in elastic collisions are as follows:
Suppose you have a cart of mass m1 and velocity v1i colliding with a cart of mass m2 and velocity v2i, with motion confined to one dimension. If the collision is perfectly elastic, then both momentum and energy are conserved. in this case, the final velocities are:
Calculations;
v1f = (2m1/m1 + m2) × v1i - ( m1 - m2/m1+m2) × v2i .... (1)
v2f = (m1 - m2/m1 + m2) ×v1i + ( 2(m2)/ m1 + m2) × v2i .... (2)
If the collision is totally inelastic, then only momentum is conserved; energy is lost. in this case, the carts end up moving together with one common final velocity:
vf= (m1/ m1 + m2) × v1i + (m2/ m1 + m2) v2i .... (3)
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at what distance from a 27 mw point source of electromagnetic waves is the electric field amplitude 0.090 v/m ?
The distance from the point source is 8,100m
What is distance?
Distance is a measurement of the distance apart two objects or points are, either numerically or occasionally qualitatively. Distance can be a physical length in physics or to an estimate based on other factors in everyday language (e.g. "two counties over"). The term is also frequently used metaphorically to denote a measurement of the degree of separation between two similar objects (including such statistical distance between probabilistic or edit distance between strings of text). This is because spatial cognition is indeed a rich source of conceptual metaphors in human thought. he concept of a metric space is used in mathematics to formalise the majority of these notions of distance, both literal and figurative.
The electric field intensity at a distance from a point source depends on the inverse square of the distance from the source. Therefore, the distance from the point source can be calculated using the following equation:
Distance (d) = (1/ (E/E0))2 x 27m
Where E is the electric field intensity (0.090 V/m) and E0 is the electric field intensity at a distance of 27m (27mW).
Therefore, the distance from the point source is:
d = (1/ (0.090/27))2 x 27m = 8,100m
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The average energy flux of sunlight incident on the top of the earth's atmosphere is 1.4×103W/m2. What are the corresponding amplitudes of oscillation of the electric and magnetic fields? a) 3.4 x 10^-6 T; b) 2.4 x 10^-6 T; c) 1.4 x 10^-6 T; d) 0.4 x 10^-6 T
The magnitude of oscillation of the electric and magnetic field is 3.4 × 10⁻¹⁰ when the average energy flux of the sunlight incident on top of earth's atmosphere is 1.4 × 10³ W/m².
Energy flux of sunlight on top of earth's atmosphere (I) = 1.4 × 10³ W/m²
Using the equation of energy flux of sunlight,
= I = 1/2 × ε × ∈ × c
= ∈ = √ (2 × I) / (c × ε)
= ∈ = √ (2 × 1.4 × 10³ ) / ( 8.85 × 10⁻¹² × 3 × 10⁸ )
= ∈ = 1.03 × 10³ v/m
and, ∈ = c × B
= B = ∈ / c
= B = 1.03 × 10³ / 3 × 10⁸
= B = 3.4 × 10⁻⁶ T
Therefore, the corresponding amplitudes of electric and magnetic fields is 3.4 × 10⁻⁶ T.
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which of the following individuals is in energy balance (equilibrium)? multiple choice question. kirstie consumes 2200 kcal per day and expends 1800 kcal per day. sam consumes 3200 kcal per day and expends 3600 kcal per day. ray consumes 2400 kcal per day and expends 2400 kcal per day.
Ray consumes 2400 kcal per day and expends 2400 kcal per day is the following individuals is in energy balance (equilibrium).
What is energy balance?Energy balance is the condition that is reached when energy intake and energy usage are equal. This idea can be used to show how variations in energy intake and expenditure will cause changes in body weight over time. Bodyweight is steady when the body is in a state of energy balance.
What is Equilibrium?
In physics, a system is said to be in equilibrium when neither its internal energy state nor its state of motion tend to vary over time. If a simple mechanical body experiences neither linear acceleration nor rotational acceleration, it is said to be in equilibrium. If this state is not disturbed by an external force, it will persist unbrokenly.
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What is the range of the electronegativity scale?.
The most electronegative element is fluorine, which has a value of 4, while the least electronegative element is francium, which has a value of 0.07.
Additionally, if there is a significant difference in electronegativity between two atoms, the bond type tends to be more ionic; on the other hand, if the difference is minimal, the bond type is a nonpolar covalent connection.It essentially represents the final consequence of atoms' propensities to attract electron pairs that form bonds in various elements. On several scales, we quantify electronegativity. Linus Pauling created the most widely used scale.
Based on studies of the strengths of covalent connections between various elements, Linus Pauling (1901–1994) created the initial electronegativity scale in the 1930s.
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suppose you could float in space just a few meters above saturn's rings. what would you see as you looked down on the rings?
If you could float in space just a few meters above saturn's rings, as you looked down on the rings you would see countless icy specks, from small dust grains to large boulders.
Write a short note on the planet Saturn.
Saturn is the second-largest planet in our solar system and is located six planets from the Sun. Saturn is an enormous ball primarily composed of hydrogen and helium. There are other planets that have rings, but none are as beautiful or intricate as Saturn's. Numerous moons orbit Saturn.The Saturn system is a rich source of scientific discovery and still holds many mysteries, from the water jets that spray from Saturn's moon Enceladus to the methane lakes on smoggy Titan.Clouds that resemble faint stripes, jet streams, and storms cover Saturn. The planet has a wide range of yellow, brown, and gray hues.
The equatorial region experiences winds that can reach 1,600 feet per second (500 meters per second) in the high atmosphere. The highest hurricane-force winds on Earth, however, only reach a maximum speed of roughly 360 feet per second (110 meters per second). And because of the intense pressure, which is similar to that experienced while diving deep underwater, gas is compressed into liquid.
An intriguing atmospheric phenomenon on Saturn's north pole is a six-sided jet stream. The hexagon, a wavy jet stream with winds of 200 miles per hour (322 kilometers per hour), is around 20,000 miles (30,000 kilometers) broad and has a large rotating storm at the center.
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a force of 10 n holds an ideal spring with a 20-n/m spring constant in compression. the potential energy stored in the spring is:
The potential energy stored in the spring of force constant 20 N/m is 2.5 J.
What is potential energy?This is the energy of a body a virtue of its position.
To calculate the potential energy stored in the spring, we use the formula below.
Fromula:
P.E = F²/2K............. Equation 1Where:
P.E = Potential energy of the springK = Spring constantF = Force on the springFrom the question,
Given:
F = 10 NK = 20 N/mSubstitute these values into equation 1
P.E = 10²/(2×20)P.E = 2.5 JHence, the potential energy stored in the spring is 2.5 J.
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which of the following is not a process that leads to heating the interiors of terrestrial planets? group of answer choices accretion differentiation radioactive decay volcanism
In general, planets produce warmness in keeping with their size. Radioactive atoms decay withinside the indoors, and conduction and convection delivery this warmness from the indoors to the surface.
Bigger planets have greater gravity, and the stress because of gravity enables to create a molten indoors which can power geological activity. What procedure keeps to warmness the terrestrial planets
Radioactive decay is maximum essential warmness supply today. Convection transports warmness as warm cloth rises and funky cloth falls. Conduction transfers warmness from warm cloth to chill cloth. Radiation sends electricity into space.
The maximum essential procedures in heating the interiors of the terrestrial worlds are: (1) Heat deposited with the aid of using the procedure of formation; (2) warmness launched with the aid of using radioactive decay.
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projectile a is launched horizontally at a speed of 20 meters per second from the top of a cliff and strikes a level surface below. 3 seonds later projectile b launched horizontally from the same location at a speed of 30 meters per second. the time it takes projectile b to reach the level surface is
The time taken for projectile b to reach the level surface is 3 seconds.
Calculations:
According to the question;
Initial velocity = 0 m/s
Acceleration due to gravity = 9.81 m/s²
Time-taken for projectile A = 3s
Initial velocity of projectile B = 0 m/s
The height will be:
= 0.5 × a × t²
= 0.5 × 9.81 × 3²
= 44.145m.
The time is taken to projectile b:
44.145 = 0.5 × 9.81 × t²
t² = 44.145 / (0.5 × 9.81)
t² = 44.145 / 4.905
t² = 9
t = ✓9
t = 3 seconds
A projectile is any object thrown into space upon which the simplest appearing force is gravity. The number one pressure performing on a projectile is gravity.
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listed following is a set of statements describing individual stars or characteristics of stars. match these to the appropriate object category.
The set of statements describing individual stars or characteristics of stars are matched to the appropriate object category as shown below.
Red Giant or Supergiant Starts:
Very cool but very luminousFound in the upper right of the H-R diagramMain-sequence stars:
The majority of stars in our galaxyThe Sun, for exampleA very hot and very luminous starWhite dwarfs:
Not much larger in radius than EarthVery hot but very dimTherefore, the set of statements describing individual stars or characteristics of stars are matched to the appropriate object category as shown above.
The given question is incomplete. The complete question is:
Listed following is a set of statements describing individual stars or characteristics of stars. Match these to the appropriate object category.
a. Red Giant or Supergiant Starts.
b. Main-sequence stars
c. White dwarfs
1. Very cool but very luminous
2. Found in the upper right of the H-R diagram
3. The majority of stars in our galaxy
4. The Sun, for example
5. A very hot and very luminous star
6. Not much larger in radius than Earth
7. Very hot but very dim
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A steam-driven turbine is one major component of an electric power plant. Why is it advantageous to increase the temperature of the steam as much as possible?.
The ideal steam engine efficiency is at its most optimistic limit.
What is an electric power plant?A power generation plant is a structure created to create electricity from another source of energy, such as heat energy (thermal energy) produced from coal and other fossil fuels.
Efficiency. The steam's high and low temperatures can be used to determine this: ec = Th - T c /Th =1 Tc /Th
The engine will operate most effectively when both the low and high temperatures are exceptionally high. The temperature and pressure of the environment, however, are restricted in how much the steam can expand and how low the lower temperature can be because the electric power plant is normally located on the Earth's surface. Therefore, increasing the temperature of the system is the only option to further boost the efficiency.
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TRUE/FALSE. if a force always acts perpendicular to an object's direction of motion, that force cannot change the object's kinetic energy.
Answer: True
Explanation:
g the collision in the previous question is group of answer choices elastic inelastic there is not enough information to determine whether the collision is elastic or inelastic perfectly inelastic
Assessment of initial kinetic energy and last kinetic energy. If the kinetic energies are the equal the collision is elastic.
Most regular collisions are categorized as inelastic collisions because some of the kinetic electricity is transformed into other forms including inner energy. Inelastic collisions are collisions in which kinetic strength is lost. despite the fact that the momentum of the system is conserved in inelastic collisions, now not kinetic power.
This is because some of the kinetic power changed into transferred to every other. Elastic collisions have longer interplay instances and lower maximum forces. Inelastic collisions showed some interesting consequences. A issue in appearing this experiment lies in the use of substances that produce inelastic collisions.
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The graphical representation of a vector has its tail at the origin of a two-dimensional coordinate system. Both the horizontal and vertical components are negative. The tip of the vector lies in the ______________ quadrant.
C. ) third
The graphical representation of a vector has its tail at the origin of a two-dimensional coordinate system. Both the horizontal and vertical components are negative. The tip of the vector lies in the third quadrant.
A vector quantity represents two independent quantities. They are magnitude and direction. It can be represented as a directed line segment, whose length is the magnitude of the vector and an arrow that indicates the direction. The direction is generally represented from its tail to the head.
The cartesian coordinate system has four quadrants. In first quadrant, the components of both x and y are positive. In second quadrant, the component of x is negative and y is positive. In third quadrant, the component of x is negative and y is negative. In fourth quadrant, the component of x is positive and y is negative.
Here, it is said that both horizontal and vertical components are negative. This means that the vector lies in the third quadrant.
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solve your equations for the moment of inertia of the disk ring system as a function of the mass of the hanging weight, the acceleration of the hanging weight, and the radius of the wheel. start with the equation containing the quantity you want to know, the moment of inertia of the disk ring system. identify the unknowns in that equation and select equations for each of them from those you have collected. if those equations generate additional unknowns, search your collection for equations that contain them. continue this process until all unknowns are accounted for. now solve those equations for your target unknown.
MR² is the moment of inertia of the disk ring system.
The term "moment of inertia" refers to a physical quantity that quantifies a body's resistance to having its speed of rotation along an axis changed by the application of a torque (turning force). The axis might be internal or exterior, fixed or not. But the moment of inertia (I), which is always expressed in relation to that axis, is calculated by adding the results of multiplying each particle's mass by the square of its distance from the axis in a particular body. The moment of inertia is comparable to mass in linear momentum when calculating the angular momentum of a rigid body.
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What is a realistic fiction setting?.
Realistic fiction creates imaginary characters and conditions that depict our world and society.
It specializes in subject matters of developing and confronting private and social troubles. This style portrays characters coming to understand themselves and others.
The setting is an accurate portrayal of the arena as we know it. The placing ought to exist; it's miles a brilliant and correct depiction. It consists of believable testimonies as the author uses ordinary occurrences and/or excessive realism; the story isn't genuine but it can be.
Realistic Fiction is divided into two components: historic and cutting-edge fiction. historic fiction takes place in a time far off enough to be taken into consideration records, rather than present-day fiction which takes vicinity today or within the current beyond.
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How do you identify the infinitive in each sentence and tell how it is used?.
Whenever to in a sentence is followed by a verb in its base form it is an infinitive.
Look at the word or words that appear after the word is in the sentence to make sure you are looking at the infinitive and not the prepositional clause. Whenever to in a sentence is followed by a verb in its base form, it is an infinitive. An infinitive is a verb consisting of the word to and a verb that can function as a noun, adjective, or adverb.
The term verb indicates that the infinitive like her other two verbs is based on a verb and thus expresses a state of action or being. Infinitives in English are preceded by to. These verbs are called infinitives because they are not tied to a tense like the concept of infinity. From the infinitive, we derive the verb conjugation also known as the finite form of the verb.
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ncreasing the tidal volume while keeping everything else constant increases the inspiratory capacity alveolar co2 tension (pco2) functional residual capacity (frc) alveolar ventilation dead space ventilation
On increasing the tidal volume while keeping everything else constant increases the alveolar ventilation.
What is tidal volume?Tidal volume refers to the volume of air that enters or exits the lungs during every respiratory cycle. Every breath a person takes is essentially a tidal volume. It is a key factor in determining both alveolar and overall ventilation. Physiological dead space is considered in alveolar ventilation. It stands for the amount of air that passes through the respiratory zone each minute.
How change in tidal volume changes alveolar ventilation?
During periods of activity, tidal volume changes because the body is breathing deeper into the lungs, changing the volume displaced. This deeper breathing raises the rate of alveolar ventilation, increasing the quantity of oxygen available for tissue utilisation.
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Consider the two electron arrangements for neutral atoms a and b. Are atoms a and b the same element? a - 1s2, 2s2, 2p6, 3s1 b - 1s2, 2s2, 2p6, 5s1.
The two neutral atoms A and B have the same number of electrons and atomic number 11. So, the two elements are said to be same.
The electronic configuration of the element is the arrangement of the electrons in the atom of the element in energy levels, orbitals around the nucleus.
The electrons in the atoms of the element with lowest energy are written first before those with higher energy levels. Thus, the electronic configuration shows the electrons in the atoms of the element arranged in order of increasing energies.
The electronic configuration of atoms are given as
A = 1s² 2s² 2p⁶ 3s¹
B = 1s² 2s² 2p⁶ 5s¹
The number of electrons in both the elements is 11. Therefore, their atomic number is also the same i.e, 11. So, both the elements are the same.
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two members are bonded together at b and loaded as a beam with a pin support at a and a roller support at c. the composite member has a rectangular cross section with a height, h, and width, b. determine the normal and shear stress acting at point d on the bond plane as a result of the loading. also determine the principal stress, maximum in-plane shear stress, average normal stress and the rotation angles for the principal stresses and maximum in-plane shear stress at this point in the member. show all stresses on stress elements.h
We are given the following Important parameters or information or data which is going to assist us in order to solve this question effectively and efficiently.
Jy = 500 Nm, Jb = 10 KNm, wy = 60 KN, wx = -80 KN.
Thus, I(bb) = 10/12 × 100 × (200 + 2 × 20)^3 - 1/2 (100 - 20) × 200^3.
l(bb) = 6.19 × 107 mm^4.
l(yy) = 1/12 × 20 × 240^3 × 2 + 1/2 × 200 × 20^3.
l(yy) = 4.62 × 10^7 mm^4.
Thus, the bending stress due to Jy = Jy × y / l(bb)
=> 500 × 10^ 3 × 0 /l(yy) = 0 MPa.
The bending stress due to Jb;
=> 500 × 10^ 6 ×( 200/2)/ 6.19 × 10^7 = 16.16 MPa.
The bending stress due to wx = wx/A= -80/800 = 10 MPa.
Transverse shear stress = 60 × 10^3 × 220000/ 6.19 × 10^ 7 × 20 = 10.66 MPa.
Principal stresses= T1 - T3/ 2 +/- ( T1 - T3/)^2 + c^2.
=> 16.16 - 10/2 +/- (16.16 -10)^2 + 10.66^2.
=> 3.08 +/- 11.1.
=> = 14.18 MPa and -8.02 MPa.
Therefore, the maximum in-plane shear stress = ( T1 - T3/)^2 + c^2 = 16.16 -10)^2 + 10.66^2. = 11.1 MPa.
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as the viewing screen is moved away from the double slit, what happens to the separation between the interference fringes on the screen? it increases. it decreases. it remains the same. it may increase or decrease, depending on the wavelength of the light. more information is required.
The separation between the interference fringes on the screen increases.
What is interference of light?When two coherent light waves from different sources collide, the energy distribution caused by the first wave is disturbed by the second. The term "interference of light" refers to this alteration in the distribution of light energy brought on by the superposition of two light waves.
The formula of the separation between the interference fringes in double slit experiment is: x = λD/d.
where,
λ = wavelength of light wave
D = separation between slits and the screen.
d = separation between two slits.
So, if the viewing screen is moved away from the double slit, the separation between the interference fringes on the screen increases.
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What is the velocity of a wave of frequency 200 Hz and wavelength 2 m?.
Answer:
[tex] \huge{\boxed{400 m/s}} [/tex]
Explanation:
The velocity of the wave given it's wavelength and frequency can be found by using the formula
[tex] \large{v = f \times \lambda}[/tex]
where
f is the frequency in Hz
[tex] \lambda [/tex] is the wavelength in m
From the question
f = 200 Hz
[tex] \lambda [/tex] = 2 m
We have
[tex] \large{v = 200 \times 2 = 400}[/tex]
We have the final answer as
400 m/sA stone of mass 10kg fall from the height of 2m.calculate the workdone
The work done is 196 J.
The amount of work done upon an object depends upon the amount of force (F) causing the work, and the displacement (d) experienced by that object.
The mass of the stone is m=10kg
It is falling from the height of 2m i.e. its displacement is 2m.
Work done by an object is given by:
W=Fs
Where 'F' is the force and 's' is the displacement.
As the body moves in the direction of force, therefore work done by gravitational force will be positive.
W = Fs
= mgh
= 10 × 9.8 × 2
= 196 J
Hence, the work done is 196 J.
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What happens when two same poles of a permanent magnet are near each other?.
Like poles push away from one another. Different poles are drawn together. Examples of non-contact forces include the attraction and repellence between two magnetic poles.
Magnets' oppositely polarized poles attract and repel one another. That the magnets repel one another is a known. We may conclude from this that the poles facing one another would be north-north or south-south. The north pole and the south pole are the two poles that make up a magnet. The identical poles of two separate magnets repel one another when they are brought near to one another. The opposite poles also attract one another when they are brought near to one another. Like poles push apart from one another. Different poles are drawn together. Examples of non-contact forces include the attraction and repellence between two magnetic poles. At the magnet's poles, the field is greatest.
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An element with a mass of 550 grams decays by 6. 5% per minute. To the nearest minute, how long will it be until there are 240 grams of the element remaining?.
Answer: 12
Explanation:
Answer:12
Explanation: Verified through 3rd party.
the berkeley studies found that the most stable aspects of personality included all of the following, exceptSelf-control(self-confidence, intellectual orientation, openness to new experiences)
The berkeley studies found that the most stable aspect of the persobalities included are intellectual orientation, self confidence, and openness to new experiences.
what was the berkeley studies ?
Online repository. Berkeley Studies (Berkeley Newsletter until December 2007) was founded in 1977 as an annual online academic journal. It publishes scholarly essays on everything George Berkeley-related. The publication also provides information on recent happenings in Berkeley scholarship, such as book reviews, information on upcoming relevant conferences, and abstracts from reports made at such conferences.
Berkeley Studies Berkeley Studies (Berkeley Newsletter until December 2007) is an annual online academic publication that was founded in 1977. It publishes scholarly publications on anything linked to George Berkeley.
The berkeley studies found that the most stable aspect of the persobalities included are intellectual orientation, self confidence, and openness to new experiences.
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suppose you heat an oven to 400 f and boil a pot of water. which of the following explains why you would be burned by sticking your hand briefly in the pot but not by sticking your hand briefly in the oven?
The water can transfer heat to your arm more quickly than the air when we heat an oven to 400 f and boil a pot of water.
Heat is defined in thermodynamics in a way that is significantly different from how we typically use the word. Heat is the thermal energy that is transmitted when two systems with different surface temperatures come in contact. Heat is denoted by the letters q or Q and is quantified in joules.
Since heat is defined in the context of a process that allows energy to be transferred, it is occasionally referred to as a process quantity. While the heat that a hot cup of coffee imparts to your hand may be discussed, the heat that the cup of coffee itself holds is not. Heat is yet another notable characteristic.
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find the gravitational force exerted on each black object below by other objects around it. what is the resultant gravitational force
The resultant gravitational force in each case is:
Fa= 2.1 x 10 ⁻⁶ NFb= 2.8E-6 N (right 73° down)Let's remember that to calculate the gravitational force exerted on a body, we must use Newton's law of gravitation, which states:
Fg = G (m1*m2/r²)
Calculation of the gravitational force of option "a":Fa = F1-F2
Fa = 6,67384(80) x 10-11 m3 kg-1 s-2 (1500 kg * 1400 kg/ (7m)²) - 6,67384(80) x 10-11 m3 kg-1 s-2 (800 kg * 1400 kg/(10m²))
Fa= 2.1 x 10 ⁻⁶ N
Calculation of the gravitational force of option "b":Fb = F1-F2
Fb = 6,67384(80) x 10-11 m3 kg-1 s-2 (1500 kg * 1300 kg/ (7m)²) (-j) - 6,67384(80) x 10-11 m3 kg-1 s-2 (800 kg * 1500 kg/(10m²)) (i)
Fb= 2.8E-6 N (right 73° down)
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a red ball, initially at rest, is simultaneously hit by a blue ball traveling from west to east at 3 m/s and a green ball traveling east to west at 3 m/s . all three balls have equal mass. afterward, the red ball is traveling south and the green ball is moving to the east.
The red ball is traveling south and the green ball is moving to the east, they both form an angle of 45°
Using the law of conservation of momentum
Pf= Pi
m[Vrf+Vgf+Vbf ]=m[Vri+Vgi+Vbi] ……………………………………..Vectorial
Along the x-axis (horizontal),
m[Vrfx+Vgfx+Vbfx ]=m[Vrix+Vgix+Vbix]
[Vrfx+Vgfx+Vbfx ]=[Vrix+Vgix+Vbix]
0+ 5+ Vbfx = 0-5+5
Vbfx = - 5m/s-------------------(1)
Along the y-axis (vertically),
m[Vrfy+Vgfy+Vbfy ]=m[Vriy+Vgiy+Vbiy]
[Vrfy+Vgfy+Vbfy ]=[Vriy+Vgiy+Vbiy]
-5+0+ Vbfy = 0+0+0
Vbfy = 5m/s ……………………(2)
q= tan^-1(Vbfy/Vbfx) = tan^-1(-5/5) = 45°
Mass is the quantity depending on a physical frame. it is also a measure of the frame's inertia, the resistance to acceleration whilst a net pressure is carried out. An object's mass also determines the electricity of its gravitational enchantment to different our bodies.
Mass in movement is a statewide motion that promotes possibilities for healthful eating and lively living inside the locations people stay, analyze, work and play.
Mass spectrometry is an analytical device useful for measuring the mass-to-rate ratio (m/z) of 1 or more molecules found in a pattern.
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How fast would a light beam appear to einstein if he were traveling in the same direction at 90% of the speed of light?.
A 460-loop circular armature coil with a diameter of 9.0 {\rm cm} rotates at120 {\rm rev/s} in a uniform magneticfield of strength 0.45 {\rm T}.1.What is the rms voltage output of the generator?2.What would you do to the rotation frequencyin order to double the rms voltage output?
The rms voltage output of the generator is 226.64 V and the frequency of rotation should be double in order to doubled the rms voltage output.
Number of loops (N) = 450
Diameter of coil (d) = 9.0 cm
Frequency at which the coil rotates (f) = 120 rev/s
Strength of magnetic field (B) = 0.45 T
Area = π × (d/2)²
= a = 3.14 × (0.09/2)²
= a = 0.0021 m²
The rms voltage output of the generator is =
= (N × ω × A × B ) / √2
= (N × 2 × π × f × A × B ) / √2
= ( 450 × 2 × 3.14 × 120 × 0.0021 × 0.45) /√2
= 226.64 V
The rotation frequency should also be doubled in order to double the rms voltage output as frequency is directly proportional to the rms voltage output.
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