The solution that satisfies the initial condition y(0) is y(t) = -6e^(-2t)+15 .
The general solution is actually a set of solutions, namely the set of ALL solutions of the Differential Equation. Often the general solution will be a linear combination of several functions involving some arbitrary constants.
Now,
The solution is:
y(t)=Ce^(-2t)+15
putting the initial condition, i.e., y(0) = 9. ( it actually means y(t=0) = 9 )
y(0) = Ce^(0) + 15
9 = C + 15 (since e^0 = 1)
9-15 = C
or, C = -6
Substituting this in the general solution:
y(t) = -6e^(-2t)+15
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Kam is pushing a cart using 5 N. Jayln is helping him push using 8N. What is the Net Force?
The correct answer 13 N.
Force causes an object to come to rest when it accelerates and causes a body to accelerate when it is at rest. Force is therefore the result of mass times acceleration. The overall force applied on a body is known as the net force. The total of all forces exerted on an object is known as the net force. There are two different types of forces: balanced forces and imbalanced forces. The term "balanced force" refers to an object that is balanced on both of its sides. Unbalanced force is defined as the movement of an item caused by an excessive force applied to one side.
Force exerted by Kam = 5N
Force exerted by Jaylan = 8N
Thus the net force = 5N + 8N
= 13 N
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Julia tosses a water balloon straight up at time t = 0.
Which of the following graphs best shows the velocity of the water balloon after it is tossed?
Assume upward is the positive direction.
Assume upward is the positive direction. Julia tosses a water balloon straight up at time t = 0.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. Julia tosses a water balloon straight up so there is a initial velocity in the balloon.
So the curve starts from the positive vertical axis of v-t curve.
we are using the formula; v=u+at
Now we know from discussion, there is a positive initial velocity. But There is a acting of acceleration due to gravity. That acceleration acting the on ball from the beginning. So after some time the velocity of the ball become zero and then it start to moving downwards.
Then the formula becomes,
v=u+(-a)t
Or, v=u-at
So, from the above discussion we can say that the nature of graph (d) is similar to our discussion. The option D of the following graphs best shows the velocity of the ball after it is thrown.
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Which involves the emission of less energy in the h atom, an electron moving from n = 4 to n = 2 or an electron moving from 3 to n = 2?
By transition energy, the emission of less energy in the h atom is an electron moving from n = 4 to n = 2.
We need to know about transition energy to solve this problem. Electrons in a hydrogen atom can move to another level of energy. It is also called a transition. In this process, electrons will absorb or release their energy to move. The transition energy can be determined as
ΔE = E2 - E1
where ΔE is transition energy, E2 is the final state of energy and E1 is the initial state of energy.
The state energy of a hydrogen atom can be calculated by
E = -(13.6) / n² eV
E = h.c / λ
where n is the number of energy states, h is Planck constant (4.136 x 10¯¹⁵ eV/Hz), c is speed of light (3 x 10⁸ m/s) and λ is wavelength.
From the question above, we know that
ΔE1 from n =4 to n = 2
ΔE1 from n =3 to n = 2
From the equation, we know that the transition energy is depends on the level state where
ΔE ~ (1/n2² - 1/n1²)
Hence
ΔE1 / ΔE2 = (1/n2² - 1/n1²) / (1/n2² - 1/n1²)
ΔE1 / ΔE2 = (1/2² - 1/4²) / (1/2² - 1/3²)
ΔE1 / ΔE2 = (3/16) / (5/36)
ΔE1 / ΔE2 = (3/16) / (5/36)
ΔE1 / ΔE2 = 1.35
ΔE1 = 1.35 ΔE2
Hence, the emission of less energy in the h atom is an electron moving from n = 4 to n = 2.
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What is the full path to the directory that contains data files that change constantly, including email, print jobs, and proxy cache files?
/var is the full path to the directory that contains data files that change constantly, including email, print jobs, and proxy cache files.
The full set of information required to find a file or folder, beginning with the root element and concluding with all further subdirectories, is referred to as an absolute path. Websites and operating systems both employ absolute paths to find files and folders. An absolute path may also be referred to as a full path or an absolute pathname.
A full pathname, also known as a "absolute pathname," originates at the root directory and travels via a specific order of directories to reach a specific directory or file. A full pathname's leading character is always an underscore (/), since it always begins at the file system's root (slash).
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With what speed must a ball be thrown vertically from ground level to rise to a maximum height of 33 m? (b) how long will it be in the air?
By using uniform motion, with an initial speed 25.43 m/s and 2.60 seconds the ball will rise maximum height.
We need to know about the uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule
vt = vo + a . t
vt² = vo² + 2a . s
s = vo . t + 1/2 . a . t²
where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.
From the question above, we know that
h = 33m
vt = 0 m/s
g = 9.8 m/s²
The gravitational acceleration will be negative, hence
vt² = vo² - 2g . h
0² = vo² - 2. 9.8 . 33
vo² = 646.8
vo = √646.8
vo = 25.43 m/s
Use the first equation to get the time taken
vt = vo - g . t
0 = 25.43 - 9.8t
9.8t = 25.43
t = 2.60 second
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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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To be effective, why must agreement aimed at preventing or reducing ozone depletion be international?
I have to get it done.. it's pass due
To be effective, there must be must agreement aimed at preventing or reducing ozone depletion by the international government and the various international organizations.
What is pollution?
It can be defined as the origination of the contaminant substance that poisonous or harmful to our natural environment.
The Montreal Protocol is an international agreement that was established to safeguard the earth's atmosphere by gradually banning the manufacturing and use of chemicals that damage the ozone layer (ODS).
Thus, For an agreement between the different international organizations and the international government to be effective, it must be targeted at avoiding or mitigating ozone depletion.
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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
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.
Someone pls help! If you are given values for Δx, v⃗ , and Δt, which kinematic equation could be used to find v⃗ 0?
A. Δx =(v⃗ +v⃗ 02)Δt
B. v⃗ = v⃗ 0 + a⃗ Δt
C. v⃗ 2=v⃗ 0 2+ 2a⃗ Δx
D. Δx=v⃗ 0Δt + 12a⃗ (Δt)2
The kinematic formula will be used to find V₀ if one is given Δx, v, and Δt is Δx = (v + v₀/2)* Δt; option A
What kinematic formula will be used to find V₀ if one is given Δx, v, and Δt?Kinematics equations refer to the equation of motion of objects.
The equations of motion are used to describe, the velocity, distance, acceleration, and time is taken for the motion of an object.
The kinematics equations are given below:
Δx = (v + v₀/2)* Δtv = v₀ + atv² = v₀² + 2a*ΔxΔx = v°*Δt + ¹/₂a*Δt²Given that the values of Δx, v, and Δt are given and we are to find v, the kinematics equation to be used is Δx = (v + v₀/2)* Δt.
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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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When recording an adjustment for the use of equipment during the current accounting period, which two accounts are affected?
Accumulated Depreciation and Depreciation Expense are the two accounts that are affected when recording an adjustment for the use of equipment during the current accounting period.
Accumulated depreciation is the overall amount of a company's asset depreciation, whereas depreciation expenditure is the amount depreciated for a single period. Depreciation is an accounting item that indicates the decrease in the cost of an asset over its useful life.
Accumulated depreciation is a contra asset that lowers an asset's book value. The natural credit balance of accumulated depreciation (as opposed to assets that have a natural debit balance). However, cumulative depreciation is reflected in the balance sheet's asset column. An adjusting entry for depreciation expenditure, on the other hand, is a journal entry made at the end of a period to reflect the expense in the income statement and the decline in the balance sheet value of the fixed asset. Depreciation expenditure is normally debited, while cumulative depreciation is credited.
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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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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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Silver wire has a resistance of 1.25 ohms at 0 c. at what temperature is the resistance 2 ohms?
At 65.7K temperature is the resistance 2 ohms.
A conductor's resistance is influenced by its temperature, and a conductor's initial resistance and temperature change are directly inversely correlated. It has been noted that a conductor's resistance increases as temperature rises.
i.e., ΔR ∝ R₀ΔT
R is the temperature coefficient of resistance and T is the temperature.
⇒ R - R₀ =R₀αΔT
⇒ R = R₀(1 + αΔT)
R0 = starting resistance in this case = 1.25
0.00375°C is the temperature coefficient.
2 = 1.25[1 + 0.00375(0-[tex]T_{f}[/tex])]
2 = 1.25 + 1.25× 0.00375(0-[tex]T_{f}[/tex])
0.75 = 0.0046875(0-[tex]T_{f}[/tex])
65.7K = [tex]T_{f}[/tex]
Therefore, at 65.7K temperature is the resistance 2 ohms.
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which two phenomena make up electromagnetism
Answer:
Electricity and Magnetism
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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A concrete section of a bridge has a length of 10.0 m at 10.0 °C. By how much will the length of the section increase if its temperature increases to 40.0 °C?
Answer:
20
Explanation:
this this is because the temperature setting please the brains concentrate section increases
How does a Pharmacist use science
Answer:
Pharmaceutics
Explanation:
Pharmaceutics are medicinal chemistry , and pharmacology became established and as the foundation sciences .
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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For horizontally-launched projectiles, which of the following describes acceleration in both directions with a⃗ x=0 and a⃗ y=−9.8 m/s2.
A. Acceleration is −9.8 m/s2
in both directions.
B. Acceleration is constant in both directions.
C. Acceleration is equal in both directions.
D. Acceleration is zero in both directions.
The motion of projectiles shows that acceleration is constant in both directions; option B.
What is projectile motion?Projectile motion refers to the motion of projectiles in a curved path or parabola under the influence of gravity.
Projectiles are objects which are launched into the air and allowed to fall freely under the effect of the gravitational force of the earth.
For a horizontally-launched projectile with acceleration in the x-axis or x-direction equal to zero and acceleration u=in the y-axis equal to -9.8 m/s², the object is moving with a constant acceleration in both directions.
In conclusion, the motion of objects which are being launched into the air and allowed to fall freely under the effect of the gravitational force of the earth is known as projectile motion. Projectiles move with constant acceleration in both the x and y directions.
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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
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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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 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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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.
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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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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what is stopping potential.
How does the potential difference across the bulb compare to the potential difference across the battery?
The potential difference across the battery when compared to the bulb is the same amount of volts because the charge from the batteries moves through the closed circuit to the lightbulb and then back to the batteries.
The difference in potential between two points, which symbolizes the labor or energy expended in moving a unit amount of electricity from one point to the other. For every Coulomb of charge, a battery's electric potential difference, also known as voltage, is the potential energy difference across its terminals.
Sole if the battery and the bulb are the only components in the circuit will the voltage across a bulb equal the voltage across the battery in a series circuit. The voltage across a bulb is NOT the same as the battery voltage in a series circuit if there are any additional loads connected in series with the bulb.
The sum of the potential differences across each resistor equals the total potential difference throughout the battery. The potential difference will be greater for a resistor with a higher resistance.
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