Roll both a 10-sided fair die with an ace side and a 12-sided fair die with an ace side.
The chance that one, and only one, of the dice will land ace is 1/6.
Fair dice are those that have an equal chance of falling face-up on the table. When each face of a conventional 6-sided die has the same probability of 1/6, it can be said that the die is "fair."
.Probability is the possibility of rolling one die and getting a finite number (1, 2, 3, 4, 5, and 6). The fundamental principle of probability is to calculate it by dividing the number of outcomes that are possible by the result that you are anticipating. Therefore, a die has six faces or sides, and there are six equivalent likelihoods for each roll. Regardless of which number you select, there is only one result you are hoping for.
P (only one Ace) =[tex](1/10)(11/12)+(9/10)(1/12)[/tex]
[tex]=20/120[/tex]
[tex]=1/6[/tex]
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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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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
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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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 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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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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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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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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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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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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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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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 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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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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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.
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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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
Anyone in AP physics, I'm a freshman and need a bit of help understanding this problem
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 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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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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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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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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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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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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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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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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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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