A side of any triangle is less than the sum of the other two sides so the third side must be less than 24cm.
What is a triangle?A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.
The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.
There are many types of triangles such that right-angle triangles, equilateral triangles, and much more.
In any triangle, the sum of two sides is always greater than the third side.
If the third side is equal to the sum of two sides then it will be a straight line rather than a triangle.
It means 10 + 14 > third side
24 cm > third side
Hence "A side of any triangle is less than the sum of the other two sides so the third side must be less than 24cm".
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Quiet inspiration will ________ thoracic and lung volume and ________ intrapulmonary pressure.
Quiet inspiration will increase thoracic and lung volume and decrease intrapulmonary pressure.
Boyle's Law is the law that determines the relationship of the pressure of a gas with respect to the volume of the container. Here the pressure of gas exists as inversely proportional to the volume of the particular container.
This is one of the major principles which is important for understanding various processes of events occurring during pulmonary ventilation. If there is an increase in the volume of a container takes place, the pressure will gradually decrease.
Quiet inspiration will result in increasing thoracic as well as lung volume and is likely to decrease intrapulmonary pressure. Since the inspiratory muscles get contract to increase the thoracic cavity volume as this will cause an increased volume of the lungs as well. Then gradually there will be an increase in the volume of the lungs that lowers the intrapulmonary pressure which exists below atmospheric pressure.
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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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L
What are the disadvantages of driverless cars? Check all that apply.
They always drive slower than surrounding traffic to avoid accidents.
They cannot tell the difference between people and other objects.
They will wait for crossing pedestrians even if signaled to keep driving.
They may unexpectedly drive off the road to avoid potential hazards.
They will not allow the human driver to take control while in motion.
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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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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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 symbol, atomic number, # of protons, # of electrons, atomic mass, rounded atomic mass, # of neutrons (show work), and period of: hydrogen
1.Write the definition of each term in the definition column. Then decide whether that force produces motion and write either yes, no or it depends in the motion column. 2.For each diagram, determine the net force acting on the object. Follow the format for showing your work shown in (a). Then, write whether or not there will be a change in motion. If yes, write the direction the object will move in.
Answer:
UN balanced force to applied on that object
If the electric flux through a closed surface is zero, the electric field at points on that surface must be zero. True or false?.
True. If E=0, at all points of a closed surface that means there is no electric field present. Therefore, electric flux should also be zero.
What happens when electric flux is zero?
This leads us to the Gauss's Law, which says that the electrical flux going through a closed surface, is that the sum of all charges Q inside that closed surface, divided by permittivity of free space E₀. If that flux is zero, meaning there is no net charge inside the shape.
What is a electric flux in closed surface?The net flux through a closed surface is a quantitative measure of the net charge inside a closed surface. 2. the web electric flux through any closed surface surrounding a net charge 'q' is independent of the shape of the surface.
For which surface electric flux will be zero?The flux of an electrical field through a closed surface will be always zero if and only if there is no net charge in the volume enclosed by the surface. the quantity of electric flux is always proportional to the charges inside the surface
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The decay rate of a radioactive sample decreases from 175 kbq to 12.4 kbq in 18.3 s.What is the decay constant of this sample?
By the half-life of radioactive, the decay constant is 0.144 /s.
We need to know about the half-life of the radioactive elements to solve this problem. The radioactive element will decay over time and follow the equation
N = No(1/2)^(t/t'')
λ = ln2 / t''
where N is the final quantity, No is the initial quantity, λ is the decaying constant, t is time and t'' is the half-life of a radioactive element.
From the question above, we know that
t = 18.3 s
No = 175 kbq
N = 12.4 kbq
Calculate the half-life
N = No(1/2)^(t/t'')
12.4 = 175(1/2)^(18.3/t'')
(1/2)^(18.3/t'') = 62/875
18.3/t'' = ⁰'⁵log(62/875)
18.3/t'' = 3.82
t'' = 4.79 seconds
Determine the decay constant
λ = ln2 / t''
λ = ln2 / 4.79
λ = 0.144 /s
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In order to store fourfold as much energy, how much charge should it have on its plates?
2Q charge should it have on its plates.
What is the electric field of a plate?The electric field between plates is the area or space where the plates' charge influences can be seen.
For example, if a charged particle is placed near any charged plate, the plate exerts an electric force to attract or repel the charged particle.
Either positive or negative charges are present in charged particles.
Since electrons are always negatively charged, a negatively charged particle carries more electrons (negative charges) than protons (positive charges).
Therefore, there must be fewer electrons than protons in order for charged particles to be positive.
A plate becomes positively or negatively charged when charged particles are placed on it, and a charged plate generates an electric field all around it.
Gauss's law is shaped by the surface.
Calculating the area of shapes with a defined geometry is simple.
The Gauss's law equation can be written as the surface charge density divided by the medium's electric permittivity in the case of a sphere or rectangular plate.
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What is the difference between rotation and revolution in relation to the Earth. How long does each take on Earth?
Answer:
rotation is a day and revolution is 365 days
Fez loves team sports and gets abundant exercise through team activities. When Fez engages in team activities such as running or passing the ball, what is happening to Fez’s muscles?
A.
They are not stretching, bending, shortening, or lengthening.
B.
They are maintaining tension with an equal force on all sides.
C.
They are lengthening to resist a greater force.
D.
They are producing enough force to lift large weights.
Answer:
They are maintaining tension with an equal force on all sides.
Fez engages in team activities such as running or passing the ball, then muscles maintain tension with an equal force on all sides. Hence, option B is correct.
What is exercise?Exercise is the training of the body to increase fitness and function.
Although the phrases physical activity and exercise are sometimes used synonymously, this article will make a distinction between the two. Physical activity is a broad phrase that refers to any energy expenditure caused by skeletal muscle action. As a result, it encompasses the full range of activity, from deficient resting levels to maximal exertion. Physical activity includes exercise.
Exercise stands apart because it is a systematic activity designed with physical fitness development and maintenance in mind. Physical fitness growth through the body's and its various systems' adaptation to a workout regimen is referred to as physical conditioning.
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Anyone in AP physics, I'm a freshman and need a bit of help understanding this problem
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 depiction of a famous scientific experiment is given. Consider how the beam changes when the magnet is off compared to when the magnet is on.
The beam used is a negatively charged electron beam with a velocity of
v = E / B where E is the electric field and B is a magnetic field.
Now indicates that the electric field and the magnetic field are contracted and that the beam passes without deviating, so the electric and magnetic forces must be balanced
Fe = Fm
q * E = q * v * B
v = E / B
this configuration is called speed selector.
The beam used is a negatively charged electron beam with a velocity of v = E / B.
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Although part of the question is missing the complete question is A depiction of a famous scientific experiment is given. Consider how the beam changes when the magnet is off compared to when the magnet is on. A bell-shaped evacuated glass tube with a narrow end and a wide end is connected to a battery at the narrow end. In the center of the tube there is a negatively charged plate above the tube, a positively charged plate below the tube, and a magnet with the field turned off. A beam originating at the narrow end of the tube travels toward the wide end of the tube. With the magnetic field turned off, the beam path bends toward the positively charged plate and ends at the lower half of the wide end of the tube. A bell-shaped evacuated glass tube with a narrow end and a wide end is connected to a battery at the narrow end. In the center of the tube there is a negatively charged plate above the tube, a positively charged plate below the tube, and a magnet with the field turned n. A beam originating at the narrow end of the tube travels toward the wide end of the tube. With the magnetic field turned on, the beam path travels in a straight path to the center of the wide end of the tube. What type of beam was used in this experiment?
roseeldavis
2 hours ago
Physics
High School
answered
Please help me with this question soon.
Block A - 19.3 Kg/L
Block B - 0.64 Kg/L
Block C - 0.70 Kg/L
Block D - 0.917 Kg/L
Block E - 3.53 Kg/L
1) Which block has the greatest density?
Block A
Block B
Block C
Block D
Block E
2) Which block has the lowest density?
Block A
Block B
Block C
Block D
Block E
3) Submit your data table and identify the substance each block is made of.
Answer: Block A - 19.3
Block B - 0.64
Block C - 0.70
Block D - 0.917
Block E - 3.53
Explanation: i hope this helps you a little
How would you have to change the applied voltage in a circuit if you want to increase the power by a factor of 4 while keeping the resistance constant?
The increase by a factor of 2 is sufficient to change the applied voltage in a circuit if we want to increase the power by a factor of 4 by keeping the resistance constant.
Simple formula is:
Voltage (V) = Current (I) X Resistance (R)
Thu if R is constant and V is increased I will reduce
Thus assuming a constant Resistance , increasing the Voltage will reduce the current in the circuit.
Applied voltage :
Voltage applied to a circuit is equal to the sum of the individual voltage drops. The drop across a resistor in a series circuit is directly proportional to the size of the resistor. If the circuit is broken at any point, no current will flow.
What happens when voltage is applied to a resistor?
Therefore, if the voltage is increased, the present will increase provided the resistance of the circuit does not change. Similarly, increasing the resistance of the circuit will lower the present flow if the voltage is not changed
Why is voltage applied?
When a voltage is applied, it's energetically preferable for an electric charge to move towards the point of lowest voltage in the wire; that's a fancy way of saying that a positive electric charge gains energy when going from a point of high voltage to a point of low voltage.
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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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Which of the forces applied to the block perform nonconservative work on the system?
The friction force applied to the block performs nonconservative work
on the system.
What is Friction force?The force preventing sliding against one another of solid surfaces, fluid layers, and material components is known as friction. There are various kinds of friction: Two solid surfaces in contact are opposed to one another's a relative lateral motion by dry friction.Friction between two surfaces causes kinetic energy from moving surfaces to be converted into thermal energy (that is, it converts work to heat). As demonstrated by the use of friction produced by rubbing pieces of wood together to start a fire, this property can have dramatic effects. Every time there is motion with friction, such as when a viscous fluid is stirred, kinetic energy is transformed into thermal energy. Wear is a significant side effect of many types of friction that can result in deteriorated performance or component damage. The discipline of tribology includes friction.The formula of the friction force F = μN
where,
F = friction force
μ = coefficient of friction
N = normal force
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According to faraday's law, if the rate of flux change quadruples, what happens to the induced voltage?
a. it increases by a factor of eight.
b. it quadruples.
c. it doubles.
d. it halves.
Answer:
E = - dΦ / dt
(b) would be the correct answer
A photon of wavelength 200. nm strikes a metal and ejects an electron with a velocity of 3.4 x 105 m/s. what is the threshold frequency of the metal?
According to photoelectric effect, the threshold frequency of metal is 1.42 x 10¹⁵ Hz.
We need to know about the photoelectric effect to solve this problem. The photoelectric effect is electron ejected from metal because of light source. The kinetic energy of the ejected electron is
K = h(f - fo)
where K is kinetic energy, h is Max Planck constant (6.6 x 10¯³⁴ Js), f is the frequency of light source and fo is the threshold frequency of the metal.
From the question above, we know that
λ = 200 nm = 200 x 10¯⁹ m
v = 3.4 x 10⁵ m/s
me = 9.1 × 10¯³¹ kg
Find the frequency of light source
f = c / λ
f = 3 x 10⁸ / (200 x 10¯⁹)
f = 1.5 x 10¹⁵ Hz
Find the threshold frequency
K = h(f - fo)
1/2 . me .v² = 6.6 x 10¯³⁴ (1.5 x 10¹⁵ - fo)
1/2 . 9.1 × 10¯³¹ . (3.4 x 10⁵)² = 9.9 x 10¯¹⁹ - 6.6 x 10¯³⁴fo
9.9 x 10¯¹⁹ - 6.6 x 10¯³⁴fo = 5.26 x 10¯²⁰
6.6 x 10¯³⁴fo = 9.37 x 10¯¹⁹
fo = 1.42 x 10¹⁵ Hz
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True or false: the period of a pendulum clock decreases if you increase the length of the pendulum.
It is false. The period of a pendulum clock increases if you increase the length of the pendulum.
The time period of a pendulum clock is directly proportional to the square root of the length.
The formula of the time period of a simple pendulum is:
T = 2π√(l/g)
According to the formula, time period T is directly proportional to the square root of length and inversely proportional to gravity. The time period will increase if we increase the length of the pendulum clock.
For example, the time period will increase by two times if we increase the length of the pendulum by four times.
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False, the period of a pendulum clock does not decreases if you increase the length of the pendulum. Their variation is directly proportional.
The square root of the length of a simple pendulum determines its period in a direct proportion. In other words, as length grows, so does the amount of time.
The relationship between two values where their ratio equals a constant number is known as a direct proportion or direct variation. In our case, the two values are.
1. Square root of the length of the pendulum
2. Period of a pendulum
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Which type of characteristics are demonstrated by the unique pattern of bullets fired from every gun model?
Individual characteristics are demonstrated by the unique pattern of bullets fired from every gun model
There are two types of characteristics. They are class characteristics and individual characteristics. Class characteristics helps to place an evidence into a group of objects whereas individual characteristics narrows down the evidence to a particular object.
For example, a type of blood group is a class characteristic because it belongs to a group of humans. But DNA taken from the blood is a individual characteristic because it belongs to only one human on the entire planet.
Therefore, Individual characteristics are demonstrated by the unique pattern of bullets fired from every gun model
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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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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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A particular load is rated to use 2.2 kw at 240 volts. this load is connected to a 2-pole breaker in a panel using 12 awg conductors. how much current will this load draw?
The current drawn by the load is 9.17 A.
What is current?Current can be defined as the rate of flow of electric charge round a circuit.
To calculate the current drawn by the load, we use the formula below.
Formula:
I = P/V............................Equation 1Where:
I = Current drawn by the loadP = Power of the loadV = VoltageFrom the question,
Given:
P = 2.2 kW = 2200 WV = 240 VSusbtitute these values into equation 1
I = 2200/240I = 9.17 AHence, the current drawn by the load is 9.17 A.
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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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The average diameter of an atom is 2 x 10-8 m. what if the average diameter of an atom was 1 cm? how tall would you be? (10)
The tall would be 2 x [tex]10^{-6}[/tex] m
Explanation:
Given
Use D1 and D2 to represent the old and new diameters.
D1 = 2 x [tex]10^{-8}[/tex]
D2 = 1cm
To determine how tall you'd be, we need to divide D2 by D1:
Ratio = [tex]\frac{D2}{D1}[/tex]
Substitute values for D2 and D1
Ratio = [tex]\frac{2*10^{-8} }{1cm}[/tex]
Convert cm to m
Ratio = [tex]\frac{2*10^{-8} }{0.01}[/tex]
Convert denominator to exponents
Ratio = [tex]\frac{2*10^{-8} }{10^{-2} }[/tex]
Apply the Law of indices
Ratio = [tex]2*10^{-8} *10^{2}[/tex]
Ratio = [tex]2*10^{-8+2}[/tex]
Ratio = [tex]2*10^{-6}[/tex]
Therefore [tex]2*10^{-6}[/tex]m time falls.
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how much is the mass of a ball that is rolling down down a ramp at 4.6m/s, with a momentum of 3.22 kg-m/s?
Answer:
[tex]0.70\; {\rm kg}[/tex].
Explanation:
If an object of mass [tex]m[/tex] is travelling at a velocity of [tex]v[/tex], the momentum [tex]p[/tex] of that object would be [tex]p = m\, v[/tex].
In this question, both momentum [tex]p[/tex] and velocity [tex]v[/tex] are given, and mass [tex]m[/tex] needs to be found. Hence, rearrange the equation [tex]p = m\, v[/tex] and solve for [tex]m\![/tex]:
[tex]\begin{aligned} m &= \frac{p}{v} \\ &= \frac{3.22\; {\rm kg \cdot m \cdot s^{-1}}}{4.6\; {\rm m\cdot s^{-1}}} \\ &= 0.70\; {\rm kg}\end{aligned}[/tex].
Therefore, the mass of this ball would be [tex]0.70\; {\rm kg}[/tex].
