The energy obtained when 44 g of carbon is irradiated is 5.89 × [tex]10^{5}[/tex] J if each carbon atom emits one photon.
E = h ν = h c / λ
n = m / Mol * Avogadro's constant
E = Energy
h = Planck's constant
c = Speed of light
λ = Wavelength
n = Number of atoms
m = Mass
mol = Molar mass
h = 6.626 * [tex]10^{-34}[/tex] J s
λ = 745 nm = 7.45 * [tex]10^{-7}[/tex] m
c = 3 * [tex]10^{8}[/tex] m / s
m = 44 g C
mol = 12.01 g C
Avogadro's constant = 6.022 * [tex]10^{23}[/tex]
Energy emitted per photon, [tex]E_{1}[/tex] = ( 6.626 * [tex]10^{-34}[/tex] * 3 * [tex]10^{8}[/tex] ) / 7.45 * [tex]10^{-7}[/tex]
[tex]E_{1}[/tex] = 2.67 × [tex]10^{-19}[/tex] J
Total energy emitted, E = [tex]E_{1}[/tex] * n
E = ( 2.67 × [tex]10^{-19}[/tex] * 44 * 6.022 * [tex]10^{23}[/tex] ) / 12.01
E = 5.89 × [tex]10^{5}[/tex] J
Therefore, the energy obtained when 44 g of carbon is irradiated is 5.89 × [tex]10^{5}[/tex] J
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If an additional 0.133 molmol of gas is added to the balloon (at the same temperature and pressure), what will its final volume be?
Its final volume be 1.76 Liters. The term "Final Volume" refers to the amount of Water Allocation (expressed as a whole number of Megaliters) that was determined in line with section 3.3 and was included in an Offer.
What is Avogadro's Law?An experimental gas law known as Avogadro's law or Avogadro-hypothesis Ampère's connects the volume of a gas to the amount of gas material present. The law is an instance of the ideal gas theory. With the aid of the following formula, one may determine how much more space a gas takes up when its quantity is increased: V1/n1 = V2/n2 (= k, according to Avogadro's law).
Given the following data:
Initial volume = 2.46 LInitial number of moles = 0.158 molFinal number of moles = 0.113 molTo find the final volume of the gas, we would apply Avogadro's Law:
Avogadro's Law is provided by the formula:
v/n=7
[tex]v_{1} /n_{1}[/tex] = [tex]v_{2} /n_{2}[/tex]
Where:
V is the volume of a gas.n is the number of moles of a gas.Substituting the given parameters into the formula, we have;
[tex]2.46/0.158=v_{2}/0.113[/tex]
[tex]2.46*0.113=0.158v_{2[/tex]
0.27798=[tex]0.158 v_{2[/tex]
[tex]v_{2[/tex]= 0.27798/0.158
Hence, Final volume = 1.76 Liters.
The complete question is,
A balloon contains 0.158 mol of gas and has a volume of 2.46 l. if an additional 0.113 mol of gas is added to the balloon (at the same temperature and pressure), what is its final volume?
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A caiman swims 190 meters at a speed of 10 m/s. it then enters a stream and slows to 2 m/s for 270 meters. what is the average speed of this cousin of the crocodile? quizlet
A caiman swims 190 meters at a speed of 10 m/s and it then enters a stream and slows to 2 m/s for 270 meters and then the average speed of this cousin of the crocodile is 2.98 m/s.
What is the speed on average?The overall distance the object covers in a given amount of time is its average speed.
A scalar value represents the average speed thus it means that it has no direction and is thus by the magnitude.
How are average speeds determined?The distance travelled is divided by the time taken and it is the formula for calculating average speed.
The alternative formula is to add into the initial and final speeds altogether and divide by two if you have the values.
Give an example of average speed.The entire distance travelled is then divided by the total time interval to determine the average speed.
d1 = 190m
d2 = 270m
v1 = 10m/s
v2 = 2m/s
average speed = total distance/total time
t1 = 190/10 = 19s
t2 = 270/2 = 135s
so average speed = (190+270)/ (19+135)
= 460/154
=2.98 m/s
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A physics student drops a vibrating 440-hz tuning fork down the elevator shaft of a tall building. when the student hears a frequency of 400 hz, how far has the tuning fork fallen?
1. The speed of the source is 34m/s, using Doppler effect.
2. The location of the source at that time ([tex]t_{1}[/tex]) is 3.466s.
3. The time ([tex]t_{2}[/tex]) for sound to travel 58.92 m is 0.173s.
4. Tthe distance the source has fallen in time ([tex]t_{1} + t_{2}[/tex]) is 65m.
A wave's frequency changes in response to an observer moving in respect to the wave source, which is known as the Doppler effect or Doppler shift. It has the name of Christian Doppler, an Austrian physicist who first reported the phenomena in 1842.
Mathematically it is written as;
[tex]f' = \frac{(v+v_{0}) }{(v -v_{s}) } f[/tex]
1. Using doppler effect,
u = 340(440/440-1) m/s
u = 34m/s
Therefore, the speed of the source is 34m/s.
2. y = [tex]u^{2}[/tex]/2g
y = [tex]34^{2}[/tex]/2×9.8
y = 58.92m
So, [tex]t_{1}[/tex] = u/g (Using u obtained above from Doppler effect)
[tex]t_{1}[/tex] = 34/9.8
[tex]t_{1}[/tex] = 3.466s
Therefore, the location of the source at that time ([tex]t_{1}[/tex]) is 3.466s.
3. [tex]t_{2}[/tex] = 58.92 / 340
[tex]t_{2}[/tex] = 0.173s.
Therefore, the time ([tex]t_{2}[/tex]) for sound to travel 58.92 m is 0.173s.
4. d = [tex]\frac{1}{2}gt^{2}[/tex]
d = [tex]\frac{(9.81)(3.639^{2}) }{2}[/tex]
d = 65m.
Therefore, the distance the source has fallen in time ([tex]t_{1} + t_{2}[/tex]) is 65m.
The complete question is: A physics student drops a vibrating 440-hz tuning fork down the elevator shaft of a tall building. when the student hears a frequency of 400 hz, how far has the tuning fork fallen?
1.Find the speed of the source from Equ. 15-332.
2.Find the location of the source at that time ([tex]t_{1}[/tex])
3. Find the time ([tex]t_{2}[/tex]) for sound to travel 58.92 m.
4.Find the distance the source has fallen in time ([tex]t_{1} + t_{2}[/tex])
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The o-h bond energy in water is approximately 467 kj mol^-1. The photon with just enough energy to break one o-h bond has a wavelength (in nm) of?
The frequency ()of photons to break the O-H bond is 1.1704 ✕ 1015 Hz.
Here, it is given that
The bond energy of O-H per mole=E =467 kJ/mol
Convert the unit of bond energy from kJ to J by using a conversion factor:
1kJ =1000 J
467 kJ/mol = 467 ✕ 103 J /mol
Determine the bond energy for 1 molecule of water (H2O) as:
E = Bond energy per mole / Avogadro’s number (NA)
E = (467 ✕ 103 ) / (6.022 ✕ 1023 )
= 77.55 ✕ 10-20 J
Thereby, the energy required to break 1 molecule of H2O is 77.55 ✕ 10-20 J
Now, determine the frequency in Hz by using a relation:
E=h
Where ‘’ is the frequency of the photon and ‘h’ is the Planck’s constant whose value is 6.626 ✕ 10-34 J/s.
Putting all the values we get,
(77.55 ✕ 10-20 J) = (6.626 ✕ 10-34 J/s) ✕
= (77.55 ✕ 10-20 J) / (6.626 ✕ 10-34 J/s)
= 11.704 ✕ 1014 s-1
= 1.1704 ✕ 1015 s-1
So, =1.1704 ✕ 1015 Hz
Therefore, the frequency ()of photons to break the O-H bond is 1.1704 ✕ 1015 Hz.
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A plane traveling north at 200 m/s turns and then travels south at 200 m/s. the change in its velocity is:_________
A plane traveling north at 200 m/s turns and then travels south at 200 m/s. the change in its velocity is 400 m/s in the south direction.
What is velocity?A particle or object's movement with respect to time is expressed vectorially as velocity.
The meter per second (m/s), usually referred to as speed, is the accepted unit of velocity magnitude.
As an alternative, the velocity magnitude can be expressed in centimeters per second (cm/s).
The rate of something moving in a specific direction is called its velocity. Using an automobile driving north on a highway as an example, or a rocket after it has launched, as an example of speed.
Scalar implies that the velocity vector's absolute value magnitude will always equal the motion's speed.
ΔV = V1 - V2
ΔV = 200 - (-200)
ΔV = 200+200 = 400 m/s
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What is the symbol, atomic number, # of protons, # of electrons, atomic mass, rounded atomic mass, # of neutrons (show work), and period of: Oxygen, helium, carbon, aluminum, calcium, sodium, potassium, nitrogen, silicon, iron, and hydrogen? Need help soon!
The atom is the smallest part of a substance that can take part in a chemical reaction.
What is an atom?The atom is the smallest part of a substance that can take part in a chemical reaction. Let us now address the atoms individually.
Oxygen;
Mass number = 16
Atomic number = 8
Number of protons = 8
Number of electrons - 13
Number of neutrons = 16 -8 = 8
Helium
Mass number = 4
Atomic number = 2
Number of protons = 2
Number of electrons - 13
Number of neutrons = 4 -2 = 2
Carbon
Mass number = 12
Atomic number = 6
Number of protons = 6
Number of electrons - 6
Number of neutrons = 12 - 6 = 6
Aluminum
Mass number = 27
Atomic number = 13
Number of protons = 13
Number of electrons - 13
Number of neutrons =27 - 13 = 14
Calcium
Mass number = 40
Atomic number = 20
Number of protons = 20
Number of electrons - 20
Number of neutrons =40 - 20=20
Sodium
Mass number = 23
Atomic number = 11
Number of protons = 11
Number of electrons - 11
Number of neutrons =23 - 11 = 12
Potassium
Mass number = 39
Atomic number = 19
Number of protons = 19
Number of electrons - 19
Number of neutrons =39 - 19 = 10
Nitrogen
Mass number = 14
Atomic number = 7
Number of protons = 17
Number of electrons - 7
Number of neutrons =14 - 7 = 7
Silicon
Mass number = 28
Atomic number = 14
Number of protons = 14
Number of electrons - 14
Number of neutrons =28 - 14 = 14
Iron
Mass number = 56
Atomic number = 26
Number of protons = 26
Number of electrons - 26
Number of neutrons =56 - 26 = 30
Hydrogen
Mass number = 2
Atomic number = 1
Number of protons = 1
Number of electrons - 1
Number of neutrons =2 - 1 = 1
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What is the overall reaction order for the reaction that has the rate law: rate = k[o2] [no ]2?
The overall reaction order for the reaction that has the rate law: rate = k[o2] [no ]2 is 3.
The rate law (also known as the rate equation) for a chemical reaction is an expression that provides a relationship between the rate of the reaction and the concentrations of the reactants participating in it.
Now,
The Rate equation is
Rate= K[A]^m [B]^n
K = Rate constant.
m = order with Respect To A
n = order with Respect To B.
m +n = over all order of Reaction
R = K[NO2]^2 [O2]^1
Overall order = 2+1 =3 .
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An inorganic compound, when placed in water, dissociates 99orming cations and anions neither of which are:______
Neither are Strong acid.
What does “strong acid” mean?In the solution, solid acids entirely separate into ions. For instance, hydrochloric acid is a solid acid.
It totally ionizes, forming hydrogen and chloride ions. Nitric acid and sulfuric acid are also components of strong acids.
A solid or strong acid is one that has completely dissociated into ions. It is a weak acid if it does not dissociate completely.
What is an example of a strong acid?Chloric acid, hydrobromic acid, hydrochloric acid, hydroiodic acid, nitric acid, perchloric acid, and sulfuric acid are the seven major acids that make up strong acids. These are referred to as strong acids since they can totally dissociate in water.
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Two spaceships are heading toward each other at a mutal speed of 0.999c. both ships shine a laser beam at one another. how will each ship see the other light?
Both the ships will see the other ship with the same velocity i.e, 0.999c m/s.
To calculate the velocity of one ship as seen by the other ship, we need to use the velocity transformation formula derived from Lorentz transformation:
V = {v1 - v2/1-(v1)(v2)} x c
Here v1 and v2 are the velocities of the two ships
As the ships are heading towards each other v1 = -v2 = 0.999c
Putting this value in the above equation
V = 0.999c + 0.999c/1 - (0.999c)(0.999c) x c = 0.999c m/s
Hence, both the ships will see the other ship with the same velocity i.e, 0.999c m/s.
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If a horse weighs 2891 N on earth then what is its mass
Considering the definition of weight, the mass of the horse is 295 kg.
Definition of mass and weightMass is the amount of matter that a body contains and weight is the action exerted by the force of gravity on the body.
The mass of an object will always be the same. Instead, the weight of the object will vary according to the force of gravity acting on it.
Weight is calculated as the product of the object's mass and the value of the gravitational acceleration:
W= m×g
Mass of the horseIn this case, you know:
W= 2891 Ng= 9.8 m/s² gravity of EarthReplacing in the definition of weight:
2891 N= m× 9.8 m/s²
Solving:
m=2891 N÷ 9.8 m/s²
m= 295 kg
Finally, the mass of the horse is 295 kg.
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A 30 gram string is under 30 newtons of tension. a pulse travels the length of the string in 100 milliseconds. how long is the string?
The length of the string is 100 m.
Mass of the string = 30 gm = 0.003 kg
Tension on the string = 30 N
Time = 100 ms = 0.1 s
The wave speed of the string is,
[tex]Wave \: speed = \frac{ Tension \: force}{ Linear \: density}[/tex]
[tex]v = \sqrt{ \frac{T}{μ } } [/tex]
[tex]v = \sqrt{ \frac{TL}{m } } [/tex]
The velocity of the string is,
[tex]V = \frac{L}{t} [/tex]
The length of the string is,
[tex] \frac{L}{t} =\sqrt{ \frac{T}{μ } } [/tex]
[tex]L = \frac{T \times t ^{2} }{m } [/tex]
[tex]L = \frac{30 \times (0.1) ^{2} }{0.003} [/tex]
L = 100 m.
Therefore, the length of the string is 100 m.
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please please help.. Im really strugging.
A phase change occurs when energy and pressure are added from a system. The phase most often found in nature are solid, liquid, and gas or vapor. Evaporation is the process by which liquid converts into vapor and it is also known as boiling. This happens at the boiling point of a liquid.
What is evaporation?
Evaporation is defined as the process by which liquid or water converts into the form of gas or vapor. A physical property is said to be the characteristic of a substance or compound that has been observed without any the change in the identity of that particular substance. The physical properties are considered as substance's colour, hardness, density, and melting point as well as boiling points.
Evaporation is the process by which liquid converts into vapor and it is also known as boiling. This happens at the boiling point of a liquid.
Therefore, A phase change occurs when energy and pressure are added from a system. The phase most often found in nature are solid, liquid, and gas or vapor. Evaporation is the process by which liquid converts into vapor and it is also known as boiling. This happens at the boiling point of a liquid.
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What must the charge (sign and magnitude) of a 1.45 gg particle be for it to remain stationary when placed in a downward-directed electric field of magnitude 530 n/cn/c ?
The charge on the particle must be 2.68 x 10^5 C.
Electric force and Force of gravity
The given mass of the particle, m = 1.45 g = 0.00145 kg
Acceleration due to gravity = 9.8m/s²
Electric field strength, E = 530 N/C
The electric force on the particle is therefore given by;
F = qE, where,
q =charge,
F= force = mg
E is the electric field
For a particle to be stationary this force must be equal to force due to gravity, that is mg force
Hence, qE = mg
q = mg/E.
q = (0.00145 ×9.8)/530
The charge on the particle is, therefore; 2.68 x 10^5 C.
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SI units for mass length and tempature
Answer: GoodMorning: ) ✨
kilogram (kg)
The SI unit of mass is the kilogram (kg).
Explanation:
Hope this helps: )
Calculate the power used in the problem above if to took one minute to lift the load.
The power used in the problem above if to took one minute to lift the load is W / 60 Watts
W = F * d
P = W / t
W = Work done
F = Force
d = Distance
t = Time
P = Power
t = 1 min
t = 60 seconds
P = W / 60 ( or ) F * d / t
Power is the work done rate with respect to time. Its unit is Watts. 1 watt = 1 Joule / Second. It is denoted by P.
Therefore, the power used is W / 60 Watts
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A girl of mass 48.0 kg is rescued from a building fire by leaping into a
firefighters' net. The window from which she leapt was 12.0 m above the net.
She lands in the net so that she is brought to a complete stop in 0.45 s. During
this interval (a) What is his change in momentum? (b) What is the impulse on the
net due to the girl? (c) What is the average force on the net due to the girl?
(a) 736.32 kg m s' (UP)
(b) 948 kg m s¹ (DOWN)
(c)2106.7 kg m s'(DOWN)
(a) The change in momentum of the girl is 736.32 Kg-m/s ( Downwards).
(b) The Impulse in the net is 736.32 Kg-m/s.
(c) The Average force on the net is 1635.86 N.
(a) Let us say, the mass of the girl to be M.
The height of the window is 12m.
When the girl jumps out of the window it becomes a case of free fall so we can apply the equations of motion because downward acceleration as constant. The initial velocity U of the girl is zero.
The final velocity of the girl on reaching the ground is V.
V = √2gH
V = √2x9.8x12
V = √235.2
V = 15.33 m/s.
Now, we know that.
Change in momentum (Δp) = M(V-U)
Δp = 48(15.33-0)
Δp = 736.32 Kg-m/s (Downwards).
(b) The impulse on the net will be equal to the change in momentum of the girl i.e. 736.32 Kg-m/s, because the net was initially at rest and the final velocity of the net is same as that of the girl. Impulse is nothing but change in momentum.
(c) From the Impulse-Momentum theorem, We know that,
Average net force (F) = Δp/Δt
Here change in momentum is 736.32 Kg-m/s.
total change in time is 0.45 seconds.
So, the net average force will be,
F = 736.32/0.45
F = 1635.86 N.
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A rectangular field in a park is 58.5 ft wide and 114 ft long. what is the area of the field in square meters?
By unit conversion, the area of rectangular field park is 619.59 m².
We need to know about unit conversion to solve this problem. The unit conversion can be used to convert a unit to another unit. It can be defined as
a = xb
where a is unit a, b is unit b and x is the constant of conversion.
From the question above, we know that
w = 58.5 ft
l = 114 ft
Convert the width and length to meter (1 ft = 0.3048 m)
w = 58.5 ft
w = 58.5 x 0.3048 m
w = 17.83 m
l = 114 ft
l = 114 x 0.3048 m
l = 34.75 m
Find the area
A = w x l
A = 17.83 x 34.75
A = 619.59 m²
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protons are the subatomic particles that are ..... charged and found in the centre of the atom.
neutrons are the subatomic particles that are ..... charged and found in the centre of the atom.
fill in the blanks
proton are the subatomic particles that are _positive_ charged and found in the centre of the atom. neutron are the subatomic particles that are _neutral_ charged and found in the centre of the atom .
What is the dominant intermolecular force that determines the solubility of the amine hydrochloride salt of ethyl 4-aminobenzoate in water?
Amine hydrochloride salt of ethyl amino benzoate will be ionic in nature
water is polar in nature so ion-dipole Will be dominant intermolecular force what is intermolecular force?The forces that draw atoms, molecules, and ions together when they are positioned near to one another are referred to as "Intermolecular forces."This differs from Intramolecular forces, similar term for the covalent bonds that exist inside molecules.A positive (+) charge on one particle is drawn to a negative (-) charge on the other particle when two particles interact through an intermolecular interaction.Atoms, molecules, or ions are strongly attracted to one another and move toward one another when intermolecular interactions are high. These are more frequently encountered in states that are condensed, like liquid or solid.Atoms, molecules, or ions do not have a significant attraction to one another and move widely apart when intermolecular interactions are weak.To know more about intermolecular force visit:
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The correct question is:
What is the dominant intermolecular force that determines the solubility of the amine hydrochloride salt of ethyl 4-aminobenzoate in water?
a)ion-ion
b)ion-dipole
c)London dispersion
d)hydrogen bonding
A 50-kg stunt diver is falling at a speed of 20 m/s. When she is stopped by sinking into a cushion, the cushion exerts an average force of 2500 n on her. Approximately how much time did it take her to stop moving once she hit the cushion?.
The approximately time that takes to stop the stunt driver once she hit the cushion is: 0.4 s
To solve this exercise, the formulas and procedures to be applied are:
F = m * at = (vf – vi) / aWhere:
m = massF = Forcea = accelerationt= timevf= final velocityvi = initial velocityInformation about the problem:
m = 50 kgvi = 20 m/sF= -2500 NVf = 0 m/s1 N = kg * m/s²a= ?t =?Applying the force formula and isolating the acceleration, we get:
F = m * a
a = F/m
a = -2500 N /50kg
a = -2500 kg * m/s² / 50 kg
a = -50 m/s²
Applying the time formula we get:
t = (vf – vi) / a
t = (0 m/s – 20 m/s) / 50 m/s²
t = (– 20 m/s) / -50 m/s²
t = 0.4 s
What is force?It is the physical magnitude that expresses the effort necessary to move the mass of one kilogram with an acceleration of one meter per second squared, this is expressed in units of the international system in Newton.
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To verify proper temperature of the refrigerator, dod guidelines requires all vaccine storage devices be visually monitored a minimum of ___________.
At least twice a day, the storage of vaccines must be checked.
The recommended range for refrigerator temperatures is 2°C to 8°C (36°F to 46°F). All vaccine storage containers must be visually checked at least twice a day to ensure that the temperature is being maintained or verified as appropriate. In order to safeguard people and communities from illnesses that can be prevented by vaccination, proper vaccine storage and handling procedures are crucial. From the time a vaccine is made until it is given out, everyone is accountable for its quality.
Thus, twice a day, the vaccine storage devices must be monitored.
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Consider the cms core measures, and the data used to support their reporting. which do you believe are the easiest to collect and which do you think are the most difficult to collect?
Through accountability and open disclosure, CMS's core measures lessen the load on providers and enhance patient care in an effective and efficient manner.
What is CMS?Eligible professionals (EP), critical access hospitals, and eligible hospitals offer healthcare services that are measured and tracked by electronic clinical quality measures (eCQMs), which are produced by a provider's electronic health record (EHR). Reporting and tracking eCQMs enables the health care system to deliver timely, patient-centered, effective, safe, efficient, equitable treatment. Health care providers electronically submit eCQMs, which measure high quality treatment using information from EHRs and other health IT systems.
Health care providers follow up with the eCQMs and needs that the CMS quality programme has identified. Regulatory reporting is an efficient instrument that ensures correct, on-demand reporting by gathering reports and submitting data to CMS in accordance with regulatory requirements. Reduced provider workload and expense due to the CMS metric introduced to NQF. It might be challenging to achieve the patient regulatory criteria for meaningful use (eCQMs) reporting. Its primary metrics don't entirely correspond to requirements for high-quality healthcare.
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in the description of the features for a new car model it says that it can reach a maximum speed of 180 km/h. If it moves at that speed, how far will the car travel in 3 h?
If it moves at given speed, the car travels, d = 540 km in 3 hours.
Equation :s = d / t
where,
s is speed
d is distance
t is time
So given data are :
s = 180km/h
t = 3 hour
d = ?
Now putting values,
speed = distance / time
180km/h = d / 3 h
d = 180 km/h x 3 h
d = 540 km
Speed :A scalar quantity, speed is defined as the size of the change in an object's position over time or the size of the change in an object's position per unit of time. Speed is calculated as Distance x Time. Time is calculated as Time = Distance / Speed. Distance is calculated as Distance = Speed x Time.
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The mass spectrum of an amine shows a parent peak with an odd mass for the molecular ion. what does this tell you about the amine?
The amine contains an odd number of N atom because the mass spectrum of an amine shows a parent peak with an odd mass for the molecular ion.
The m/z ratios of the ions contained in a sample displayed against their intensities form a mass spectrum. The mass spectra of amines are dominated by alpha-cleavage, which results in an alkyl radical on a resonance stabilized nitrogen containing cation.
Each peak in a mass spectrum shows a component of unique m/z in the sample, and heights of the peaks denote the relative abundance of the various components in the sample. Multiple alpha-cleavages are possible for secondary and tertiary amines.
Therefore, the amine contains an odd number of N atom because the mass spectrum of an amine shows a parent peak with an odd mass for the molecular ion.
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By measuring the length of the skid marks, an accident investigator determines that the distance a car travelled between the brakes being applied and stopping was 22 m.
The investigator used a sled to determine the friction. The investigator then calculated that the car decelerated at 7.2 m / s2.
Calculate the speed of the car just before the brakes were applied.
Please help, i’m so confused!!
The initial velocity of the car just before the brakes were applied is 17.80 m/s
Given parametersFrom the question given above, the following data were obtained:
Distance (s) = 22 mDeceleration (a) = -7.2 m/s²Final velocity (v) = 0 m/sInitial velocity (u) = ?How to determine the initial velocity of the carThe initial velocity of the car can be obtained as illustrated below:
v² = u² + 2as
0² = u² + (2 × -7.2 × 22)
0 = u² + (-316.8)
0 = u² - 316.8
Collect like terms
u² = 0 + 316.8
u² = 316.8
Take the square root of both side
u = √316.8
u = 17.80 m/s
Thus, we can conclude that the initial velocity of the car before the brakes were applied is 17.80 m/s
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A light-rail commuter train accelerates at a rate of 1.40 m/s2. how long does it take to reach its top speed of 76.5 km/h, starting from rest?
It takes 15.17s time to reach its top speed.
CalculationVo = 0m[tex]s^{-1}[/tex]
Its top speed v = 76.5 km/h
= 21.25 m/s
acceleration of the train = 1.4 m/[tex]s^{2}[/tex]
Then
V = Vo +at
21.25 = 0+ 1.4t
t = 21.25/ 1.4 = 15.17 s
AccelerationThe rate at which an object’s velocity with respect to time changes is referred to as acceleration in mechanics. They are vector quantities, accelerations.
The direction of the net force applied on the item determines the object’s acceleration.
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if your parents slam the brakes while they are driving at 22.0 M/S for 2.0 seconds and your new velocity is 14 M/S what acceleration did you experience?
The acceleration experienced is -4 m/s.
Acceleration is the rate of change of an object's velocity with respect to time. Acceleration is a vector quantity. The direction of an object's acceleration is given by the direction of the net force acting on that object. Acceleration is the name we give to the process of changing velocity. Velocity is both speed and direction, so there are only two ways to accelerate.
Velocity is the rate of change of displacement. Acceleration is the rate of change of velocity. Velocity is a vector quantity because it consists of both magnitude and direction. Since acceleration is the rate of change of velocity, it is also a vector quantity.
initial velocity = 22.0 M/S
final velocity = 14 m/s
time to change the velocity = 2 second
v = u + at
at = u - v
a= - [tex]\frac{u - v}{t}[/tex]
a = - [tex]\frac{22 -14}{2}[/tex]
a = -8/2
a = -4 m/s
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A calculator is found to have a volume of 0.154 liters show using analysis what the volume of the calculator is in gallons?
The volume of 0.154 liters expressed in gallons is: 0,0406 gallons
To solve this problem the we have to do the conversion of units with the given information.
Information about the problem:
v = 0.154 litersv = expressed in (gallons) = ?1 gallon = 3.785 litersBy converting the volume units from (liters) to miles per hour (gallons) we have:
v = 0.154 liters * 1 gallon/3.785 liters
v = 0,0406 gallons
What is unit conversion?It is the transformation of a value expressed in one unit of measurement into an equivalent value expressed in another unit of measurement of the same nature.
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An alternating current runs through a circuit. after a long time, how much charge has passed through the circuit?
Option C) Infinite charge has passed through the Circuit
How does alternating current work?Alternating current, also known as AC, is an intermittent electric charge flow.
It might begin at zero, increase to a maximum, decline to zero, turnabout, reach a maximum in the opposite direction, return to the starting value once more, and repeat this cycle indefinitely.
What three alternating current examples can you give?Both the current we receive from our home power outlets and the current generated by generators or turbines are AC currents. Most electrical appliances, including fans, bulbs, air conditioners, and motors, operate on AC current.
What does the name “alternating current” mean?In contrast to direct current (DC), which only travels in one direction and cannot sporadically shift, alternating current (AC) is an electric current that periodically reverses direction.
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How many combinations total would you observe for this individual heterozygous for 3 genes on 3 differnt chromsomes?
It is feasible for a human to be heterozygous for the following gametic combinations if three genes on three distinct chromosomes are involved:
If chromosome 1 is present, the person can create 2 different types of gametes. Regarding chromosome number 2, there are also two types. The resulting equation is:
There are 2n different types of gametes, where n is the total number of chromosomes. So,
2^3 = 8.4X10^6 different gametes.
The thread-like components known as chromosomes are found in the nucleus of both animal and plant cells.
Protein and a single molecule of deoxyribonucleic acid make up each chromosome (DNA). DNA is passed down from parents to children and contains the precise instructions that give each kind of living thing its individuality.
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