Answer:
If the gas is ideal while volume and temperature stay unchanged, there would be a five-fold increase in the pressure of this gas.
Explanation:
Let [tex]V[/tex] denote the volume of this gas, let [tex]P[/tex] denote the pressure of the gas, let [tex]n[/tex] denote the number of particles in this gas, let [tex]T[/tex] denote the temperature of this gas, and let [tex]R[/tex] denote the ideal gas constant.
If this gas is an ideal gas, it would satisfy the ideal gas law:
[tex]P\, V = n\, R\, T[/tex].
Assuming that this gas is uniform. The mass of this gas will be directly proportional to the number of particles [tex]n[/tex] in this gas. Hence, a five-fold increase in the mass of this will increase the number of particles in this gas by five folds.
Rearrange this equation to separate pressure [tex]P[/tex] from the number of particles in this gas [tex]n[/tex]:
[tex]\begin{aligned} P &= \left(\frac{R\, T}{V}\right) \, n\end{aligned}[/tex].
In other words, if the temperature and volume of this gas stays the same, the pressure [tex]P[/tex] of this gas will be proportional to the number of particles [tex]n[/tex] in this gas. Thus, the five-fold increase in the number of particles (from a five-fold increase in mass) will increase the pressure of this gas by five folds.
a 12 kg tire is travelling down a road t 8.0 m/s. what is the numerical value for the magnitude of the tire's forward momentum?
The numerical value for the magnitude of the tire's forward momentum is 96 kg m/s.
What is momentum?Momentum is the measurable quantity of movement in a body or object and is used in science to define the quantity of motion.
Momentum if determined from the product of mass and velocity of a body.
P = mv
where;
m is mass of the objectv is the velocity of the objectThe numerical value for the magnitude of the tire's forward momentum is calculated as follows;
P = 12 kg x 8 m/s
P = 96 kg m/s
Thus, the numerical value for the magnitude of the tire's forward momentum is 96 kg m/s.
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use the equation p=mv to answer the question.
If a 1200-kilogram (kg) car is moving at 9 meters per second (m/s), how much momentum does it have?
The momentum of the body is obtained as 10800 Kgm/s.
What is the momentum?The momentum of the body could be obtained from the equation given as; p=mv
p = momentum
m = mass of the body
v = velocity
m = 1200-kilogram (kg)
v = 9 meters per second (m/s)
p = 1200-kilogram * 9 meters per second
p = 10800 Kgm/s
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A farmer measures the distance around a rectangular field. The length of each long side of the rectangle is found to be 40.44 m, and the length of each short side is found to be 24.0 m. What is the total distance around the field, to the correct number of significant figures?
The distance around the rectangular field is 128.88 m.
What is perimter?Perimeter is the total distance around an object.
To calculate the perimeter/ total distance around the rectangular field, we us the formula below.
Formula:
P = 2(L+W)........... Equation1Where:
P = Total distance around the rectangular field.L = Length of the long sideW = Length of the short side.From the question,
Given:
L = 40.44 mW = 24.0 mSubstitute these values into equation 1
P = 2(40.44+24)P = 2(64.44)P = 128.88 mHence, the distance around the rectangular field is 128.88 m.
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If the temperature of a gas is increased by 8x, what will happen to the volume?
Answer:
P V = N R T ideal gas formula
P2 V2 = N R T2
P1 V1 = N R T1
Dividing equations at constant pressure
V2 / V1 = T2 / T1 = 8 the volume would increase by a factor of 8
An object moves based on the following description:
For 2 seconds, the object has a velocity of 1 m/s.
For 3 seconds, the object has a velocity of -2 m/s.
For 2 seconds, the object has a velocity of 2 m/s.
1. Sketch the velocity-time graph of the object.
2.Sketch the position-time graph of the object.
3.What was the displacement of the object?
4.What was the distance travelled by the object?
Answer:
See sketch below
Explanation:
Displacement = 0
Total distance = 12 m
A car initially traveled and at 20 m/s accelerate at 3 m per 2nd squared for a period of 6 seconds
The total distance travelled by the car is 174 m
What is Average Speed ?Average speed is the total distance travelled by an object per total time taken. It is measured in m/s
Given that a car initially traveled at 20 m/s accelerate at 3 m per second squared for a period of 6 seconds. The total distance travelled can be calculated by the use of below formula.
S = ut + 1/2 at²
Where
Initial velocity u = 20 m/sacceleration a = 3 m/s²Time t = 6 sTotal distance S = ?Substitute all the parameters into the formula
S = 20 × 6 + 1/2 × 3 × 6²
S = 120 + 1.5 × 36
S = 120 + 54
S = 174 m
Therefore, the total distance travelled by the car is 174 m
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A meter movement coil has a resistance of 50 ohms and a full scale deflection is achieved by 0.001 amperes. the total applied voltage to achieve full scale deflection is _____ .
A meter movement coil has a resistance of 50 ohms and a full-scale deflection is achieved by 0.001 amperes. the total applied voltage to achieve full scale deflection is 3950 Ω.
galvanometer, instrument for measuring a small electrical current or a function of the current by deflection of a moving coil. The deflection is a mechanical rotation derived from forces resulting from the current. Principle of working of a Galvanometer: It works on the principle of torque acting on a current carrying coil inside a magnetic field. The torque acting on this coil is directly proportional to the magnitude of electric current flowing in it.
Given: R
G =50Ω
I g =5mA=0.005A V=20 volts
A galvanometer is converted into a voltmeter by connecting a resistor in series with resistance of galvanometer.
Let the resistor to be connected in series with R G be R.
∴ V=I
g (R G+R) Or 20=0.005(50+R)
⟹ R=4000−50
=3950Ω
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We experiences nose bleeding while trekking to high altitude, why?
Explanation:
Atmospheric pressure decreases with increase in altitude,as we go higher the pressure within the blood vessels exceeds the outside pressure. This causes the blood vessels to rupture. As a result, a mountaineer suffer nose bleeding, ear bleeding etc.
A ball is thrown down from a bridge at time t = 0 and strikes the water below.
Which of the following graphs best shows the velocity of the ball after it is thrown?
Assume upward is the positive direction.
A ball is thrown down from a bridge at time t = 0 and strikes the water below. Assuming upward is the positive direction. The option D of the following graphs best shows the velocity of the ball after it is thrown.
What is velocity?Velocity is a term defines that a particles covered distance upward positively and downward negatively in a constant time. It is a vector quantity.
How can we calculate the velocity?According to the question, assuming upward is the positive direction body is thrown downwards so there is an initial velocity in that particle who's velocity is downwards or negative in other words.
So we are using the law, v=u+at
Here we know u is negative from the above discussion and there is also a is negative. where a means the acceleration due to gravity. So it acting downwards so its also negative.
Now the equation becomes,
v=(-u)-at
Or, v=-u-at
So from the above discussion, we can assume that the graph would be like the option D of the question. which is downwards in nature.
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The speed limit on some interstate highways is roughly 75 km/h.
(a) what is this in meters per second? m/s
(b) how many miles per hour is this? mi/h
The speed of 75 km/h expressed in:
(a) meters per second is: 20.83 m/s(b) miles per hour is: 46.59 mi/hTo solve this problem the we have to convert the units with the given information.
Information about the problem:
v = 75 km/hv(m/s) = ?1 h is equivalent to 3600 s1 mile is equivalent to 1609.34 m1 km = 1000 mBy converting the velocity units from (km/h) to (m/s) we have:
v = 75 km/h * 1000 m/ 1km * 1 h/3600 s
v = 20.83 m/s
By converting the velocity units from (m/s) to (mi/h) we have:
v = 20.83 m/s * 1 mile/1609.34 m * 3600 s/ 1h
v = 46.59 mi/h
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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A jogger jogs from one end to the other of a straight track in 1.17 min and then back to the starting point in 1.58 min. What is the jogger's average speed at the following points? (Assume the track is 100 m long.)
(a) in jogging to the far end of the track
m/s
(b) coming back to the starting point
m/s
(c) for the total jog
m/s
A ball thrown horizontally at 14.2 m/s from the roof of a building lands 36.0 m from the base of the building. how high is the building.?
The height is 31.61 m of the building in which ball thrown horizontally.
Calculation :
x(t) = x₀ + v₀t +(1/2) a₀t²
once the ball is thrown it immediately starts falling
so h = (1/2)gt² where g is the gravitational acceleration
t =d/v
d = 36 meters
v= 14.2 m/s
so t = 2.54 seconds
plugging t into h =(1/2)gt²
g = 9.8 m/sec²
h = (1/2)(9.8)(2.54)2 = 31.61 meters
What are components of motion?
What Are the Three Laws of Motion of Newton The Law of Inertia, the Law of Mass and Acceleration, and the Third Law of Motion are Newton's three laws of motion. A body in motion continues to move in a straight line whereas a body at rest stays in its state of rest unless some external force acts to change it.
The phenomenon of an item changing its location with respect to time is known as motion in physics. Mathematically, displacement, distance, velocity, acceleration, and speed are used to explain motion.
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how do the motions of the stars compare to the motion of the moon and Venus
Answer:
Stars move in a direction opposite that of earth because they remain relatively fixed compared to the motion of the earth,
The moon moves in a direction similar to earth because the moon is moving in the same direction as the earth, but in a faster rotation.
The above motions are constant.
Venus is only visible at a relatively small elevation above the horizon at sunrise or sunset because Venus is closer to the sun than the earth - one can never see Venus overhead because Earth would completely block light from the sun from reaching Venus.
A sample of gold has a mass of 15.7 g and displaces 0.81 cm3 of water in a graduated cylinder. what is the density of gold?
The density of gold is 19.38 g/cm³.
We need to know about the density to solve this problem. Density is a unit that measures how dense an object is. Density can be measured by dividing mass by volume. It can be written as
ρ = m / V
where ρ is density, m is mass and V is volume
From the question above, we know that
m = 15.7 grams
V = 0.81 cm³
By substituting the following parameters, we can calculate the density
ρ = m / V
ρ = 15.7 / 0.81
ρ = 19.38 g/cm³
Hence, the density of gold is 19.38 g/cm³.
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What is the index of refraction of a material in which the red-light wavelength is 450 nm?.
The calculated refractive index is 1.38≤n≤1.67.
Thus, through the refractive index n, the wavelength inside the medium and the wavelength in free space are connected.
n=λ/λ₀
The wavelength of red light in free space ranges from 620 nm to 750 nm. To human eyes, each of those wavelengths appears red. Refractive index is given by
n1 =620 nm/450 nm
=1.38
and n2=750 nm/450 nm
=1.67 in the equation above.
According to the details you provided, the refractive index might be any value between 1.38 and 1.67.
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You want to make 30 milliliters of a 1/500 dilution of urine in water. how much diluent will it take?
29.94 mL of diluent is needed to make 30 milliliters of a 1/500 dilution of urine in water.
The dilution factor (or dilution ratio) expresses how much of the original stock solution remains in the entire solution following dilution. It is frequently expressed as a ratio. The dilution factor in the question is 1/500.
To calculate the diluent, the ratio of the diluent must also equal the ratio the original solvent. Hence, if the total volume is 30 mL it must have the same ratio has the 1/500 dilution
1/500 = x/30
X = 0.06 mL
If only 0.06 mL of the 30 mL is urine, then the (30 mL - 0.06 mL) = 29.94 mL is the diluent.
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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: potassium
The symbol of the element Potassium is K, its proton number is 19, its atomic mass is 39, its electron number is 19 and finally Potassium belong to period 4 of the periodic table.
What is an Element?This is defined as a substance cannot be further broken down by any chemical reaction and examples include oxygen, nitrogen etc.
Potassium is an element and has an atomic number of 19 with a mass number of 39 and is present in period 4 in the periodic table.
For all atoms with no charge, the atomic number is equal to the number of proton. The number of proton is also equal to the number of electron which is why they all have the same value of 19.
Neutron = atomic mass - atomic number
= 39 - 19 = 20
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If we ignore air resistance, a falling body will fall 16t2 feet in t seconds. what is the average velocity between t=5 and t=5.3? round your answer to two decimal places if necessary.
The average velocity between t=5 and t=5.3 262.4 m/s
The distance fallen s = 16t^2
The velocity v = [tex]\frac{d_{s} }{d_{t} }[/tex] = 32t
When we apply the values of t to the velocity v, we get
V1 = 32 x 8 = 256 m/s at time t = 8 seconds.
V2 = 32 x 8.4 at time 8.4 equals 268.8 m/s.
(V2 - V1)/2 = (268.8 + 256)/2 = 262.4 m/s is the average speed.
The concept of velocity refers to the rate and direction of motion of a point. For instance, the orientation of a circular path is always perpendicular to the line that connects a point to the centre of the circle. A point always advances down a route that is perpendicular to it (a radius).
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Toss a ball of mass 3 kg up initially with velocity 9.5 m/s. how high does it go in meters? simply enter number here without units or other symbols.
The calculated height is 4.60 m
A projectile is an object that is launched into the air and then moves only in response to the acceleration of gravity. The trajectory of the object is referred to as the projectile's path. Along the x- and y-axes, we must also locate their constituent parts. We'll suppose that all forces, save gravity, are insignificant. Examples include friction and air resistance. So, the formula for acceleration is relatively straightforward:
g=9.80 m/s.
mass= 3kg
velocity= 9.5 m/s
E=1/2* mv² (kinetic energy)
= 1/2 * 3* (9.5) ²
=135.3 J
E=mgh (Potential energy)
135.3 J = 3*9.8*h
h=4.60 m
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Part C: Determine which federal database each piece of evidence is a
part of:
Evidence
bro
22. Bullet casing
23. Vehicle identification
24. DNA sample
25. Fingerprint
26. Blood sample
27. Green carpet fibers
28. Shoe impressions
29. Handwriting characteristics
30. Paint transfer sample
Database
From all the mentioned options only blood samples aren't strict evidence while all the others help significantly towards the case and are considered to be part of evidence by the federal database.
What is evidence according to the federal database?All statements which the Court permits or requires to be made before it by witnesses, in relation to matters of fact under inquiry, such statements are called oral evidence ,all documents including electronic records produced for the inspection of the Court such documents are called documentary evidence.
Now from given options we will look into each one -
1) bullet casing
Yes bullet casing is a part of evidence as it tells which gun was used in the act.
2)Vehicle identification
Yes it is also part of evidence it directly points to the person of the crime.
3) DNA sample
Yes this to is very useful in identifying the person of crime.
4) Blood sample
No, Blood sample though provides data but doesn't point to the crime act.
While all the rest are also part of evidence as they also did it towards the crime and help in providing solid judgment in the case.
Therefore, from all the mentioned options only blood samples aren't strict evidence while all the others help significantly towards the case and are considered to be part of evidence by the federal database.
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A slab of ice (density = 920 kg/m3, volume = 0.725 m3) floats on a freshwater lake. what is the maximum mass that a woman can have in order that she can stand on the ice without getting her feet wet?
Answer:
920 kg / m^3 * .725 m^3 = 667 kg = mass of ice
1000 kg / m^3 * .725 = 725 kg maximum amount of water displaced
725 - 667 = 58 kg maximum mass that ice can support
Note 58 * 2.2 = 128 lb equating kg vs equivalent "weight" in lbs
Which of the five zones shown on the map has the greatest amount of land area suitable for people to live?
I have to get it done right now... I'm not playing no games.. I need help with this ASAP
The zone in the map that has the greatest amount of land area suitable for people to live is zone B.
What is equator?The equator is the imaginary line that divides the earth horizontally into two equal halves of North and South zones.
The countries that are located close to the equator include the following:
Ecuador, Colombia,
Brazil, Sao Tome & Principe, Gabon, Republic of the Congo, Democratic Republic of the Congo,Uganda, Kenya, Somalia, Maldives, Indonesia and Kiribati.From the map, the zone with the greatest amount of land area suitable for people to live is the zone closest to the equator which is zone B.
The temperature of these areas are close to moderate through out the year.
The zone B also contains land mass that is part of the largest continent which is Asia.
Therefore, the zone in the map that has the greatest amount of land area suitable for people to live is zone B.
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A jogger jogs around a circular track with a diameter of 375 m in 16.0 minutes. What was the jogger's average speed in m/s?
m/s
What is the magnitude of the jogger's average velocity (in m/s)?
m/s
How much force is required to stop a 1000 kg Ferrari in 50 m if it is traveling at 30 m/s?
The force required to stop a 1000 kg Ferrari in 50 m that is traveling at 30 m/s is 17.96 KN
v = d / t
a = v / t
F = m a
v = Velocity
d = Distance
t = Time
a = Acceleration
F = Force
m = 1000 kg
s = 50 m
v = 30 m / s
t = 50 / 30
t = 1.67 s
a = 30 / 1.67
a = 17.96 m / s²
F = 1000 * 17.96
F = 17.96 KN
According to Newton's second law of motion, Force required to move an object is directly proportional to the acceleration of the object.
Therefore, the force required to stop a 1000 kg Ferrari is 17.96 KN
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An olympic athlete set a world record of 9.49 s in the 100-m dash. did his speed ever exceed 37 km/hr during the race? explain.
If an Olympic competitor ran the 100-meter dash in 9.49 seconds, that would be faster than 37 kilometers per hour.
What is speed?Speed is the overall distance an object travels in a given amount of time. It is solely based on the size of the moving object.
If an Olympic competitor ran the 100-meter dash in 9.49 seconds, as stated in the problem,
Speed =100 / 9.49
=10.53 meters / seconds
The speed of the athlete in kilometers/hr = 10.53×3600/1000
=37.93 kilometers / hour
Thus, his speed would have exceeded 37 kilometers/hour during the race.
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If you connected the two wires end-to-end what would the resistance of the total length be:_________
If you connected the two wires end-to-end what would the resistance of the total length be R₁ +R₂ as it is a series circuit
What are series circuits?
In circuit . A circuit comprises a path along which the whole current flows through each component. A shunt circuit comprises branches so that the current divides and only part of it flows through any branch
What is the resistance in series?
In a series circuit, the entire resistance across all of the components (the 'net resistance') increases as more components are added. the 2 resistors have the same current through them. The electric potential across them will be different if they have different resistances.The total resistance of a series circuit is equal to the sum of individual resistances." during a series circuit you will need to calculate the total resistance of the circuit in order to figure out the amperage. this is often done by adding up the individual values of each component in series.
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What is true about most of the mass in the universe?
A. It was created in the last 30,000 years. B. It is invisible to astronomers.
C. It has already decayed into pure energy.
D. It is made of nitrogen atoms.
Answer:
B. It is invisible to astronomers.
Explanation:
Most of the mass in the universe exists in the form of dark matter, which is invisible to astronomers.
At what distance from this particle does its electric field have a magnitude of 14.0 n/c?
Distance from this particle does its electric field has a magnitude of 14.0 n/c is 1.63m.
The force operating on a charged body of unit charge placed at that spot is the electric field resulting from a point charge at that location. The external work required to move a unit charge against an electric field by an infinitesimally small distance without experiencing any acceleration is known as the electric potential due to a point charge.
The force that exists between two different electric charges is the subject of Coulomb's law. The basic idea behind an electric field states that an electric charge changes the environment around it by creating an electric field.
[tex]E=kq/d^2[/tex]
E=14N/C
[tex]14=kq/d^2[/tex]
[tex]d^2=(9\times10^9)(5.05\times10^{-9})/14[/tex]
[tex]d^2=\sqrt{(9\times10^9)(5.05\times10^{-9})/14}[/tex]
d=1.63m
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A balloon contains a mixture of 2 gases, j and k. if the pressure in the balloon is 1.75 atm and there are 6 moles of j and 4 moles of k present, what is the partial pressure of each gas?
Rubbing a balloon through dry hair gives the balloon a negative electric charge.
What exactly is static electricity, and how does it affect balloons?
Electrons are transferred from the hair or wool to the balloon by rubbing the balloon against it. The balloon gains a net negative charge due to the electrons negative charge.
Which charge results from dry hair rubbing an air balloon?
Negative electrons are transferred from the hair to the balloon by rubbing a balloon against the hair. The balloon pulls the hair with an alluring electric force as it is released.
The atoms and molecules in your hair transfer their electrons to the balloon when you rub it against your head. Due to the negative charge of electrons, the balloon acquires a negative charge, while your hair retains a positive charge.
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With the concept of Dalton's law of Partial Vapour Pressure we know that the partial pressure of gas j is 1.05 atm and that of gas k is 0.7 atm.
What is Dalton's law of partial vapour pressure?Dalton's law or the law of partial vapour pressure states that the total pressure exerted by a mixture of gases is equal to the sum of the partial pressures of the gases in the mixture. The partial pressure is the pressure that each gas would exert if it alone occupied the volume of the mixture at the same temperature
Here in the question, we have a balloon that contains a mixture of two gases j and k.
The no. of moles of gas j are, Nj = 6 moles.
The no. of moles of gas k are, Nk = 4 moles.
Total no. of moles of the gas mixture are, Nt = 10 moles.
Total pressure of the gaseous mixture is, Pt = 1.75 atm.
Now, according to the Dalton's law of partial vapour pressure,
The partial vapour pressure of gas j and gas k respectively will be given by,
Pj = Xj × Pt
Pk = Xk × Pt
Where Xj and Xk are the mole fractions of gases j and k respectively which are given by,
Xj = Nj / Nt
Xk = Nk / Nt
So,
Xj = 6/10 = 0.6
Xk = 4/10 = 0.4
Now,
Pj = 0.6 × 1.75
Pj = 1.05 atm
Pk = 0.4 × 1.75
Pk = 0.7 atm
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A car travelling at a velocity of 15 m/s undergoes an acceleration of 6.5 m/s^2 in 10 seconds. How fast is it going after that acceleration?
The velocity of the car after acceleration is 80m/s.
What is velocity?To calculate the velocity of the car after acceleration, we use the formula below.
Formula:
v = u+at.............. Equation 1Where:
v = Final velocity of the car after accelerationu = Initial velocity of the car after accelerationa = acceleration of the cart = time.From the question,
Given:
u = 15 m/sa = 6.5 m/s²t = 10 secondsSubstitute these values into equation 1
v = 15+(6.5×10)v = 15+65v = 80 m/sHence, the velocity of the car after acceleration is 80m/s.
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