Answer:
repel each other
Explanation:
The magnitude of the charge of an electron is called... ... If a positively-charged glass rod is suspended so that it turns easily and another positively-charged glass rod is brought close to it, the two rods will... Repel each other.
Which of the following is not a component of soil? a. Organic material b. Minerals c. Gases d. None of the above Please select the best answer from the choices provided A B C D.
Answer:
It's D: None of the above.
Explanation:
I looked up the components of soil and all of them were, and I also took the test and got it correct.
If the cone and the hemisphere faced the other way, i.e. the open section away from the jet, what would the ideal force be? why does momentum theory not predict the actual results?
If the cone and the hemisphere faced the other way, the ideal force would still be the same, but its direction would be opposite. This is because the ideal force is determined by the change in momentum of the fluid as it flows through the jet. When the cone and hemisphere face towards the jet, they redirect the fluid flow, causing it to change direction and generate a force on the surfaces.
However, momentum theory does not predict the actual results accurately in this scenario. This is because momentum theory assumes that the fluid flows uniformly and does not consider the effects of turbulence and boundary layer separation. In reality, when the cone and hemisphere face away from the jet, the flow becomes more turbulent and boundary layer separation occurs, causing a loss of momentum and reducing the force generated.
To accurately predict the actual results, more complex theories, such as computational fluid dynamics, need to be used. These theories take into account the turbulent nature of the flow and the effects of boundary layer separation, providing a more accurate prediction of the force generated.
In summary, if the cone and hemisphere faced the other way, the ideal force would be the same but in the opposite direction. However, momentum theory does not predict the actual results accurately due to its simplifying assumptions. More complex theories, like computational fluid dynamics, are needed to account for turbulence and boundary layer separation.
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Which of the following statements correctly summarizes the events in the early universe according to the Big Bang theory?A. The Big Bang began with the initiation of what we call inflation, which gradually slowed to the current expansion rate of the universe. Forces came to exist for a different reason, having to do with quantum fluctuations in the space-time continuum. Particles came to exist as a result of cracks made when forces froze. Once there were particles, gravity brought them together to make stars, and the stars then turned the particles into hydrogen, helium, and other elements.B. An episode of what we call inflation initiated the event of the Big Bang. Once the Big Bang got underway, particles and forces began to appear one by one. The forces produced protons, which fused to make hydrogen and helium until the universe was about 380,000 years old. Then gravity began to act, turning the hydrogen and helium into galaxies.C. Forces and various subatomic particles began to appear during the first second after the Big Bang. For reasons not understood, the particles were all made of ordinary matter and none were made of antimatter, thus explaining why we live in a universe made of matter. The particles underwent some fusion for the first 380,000 years after the Big Bang, at which time the first stars were born.D. The universe began with the forces unified. During the first fraction of a second, the forces separated and there was a brief but important episode of inflation. Subatomic particles of both matter and antimatter then began to appear from the energy present in the universe. Most of the particles annihilated to make photons, but some became protons, neutrons, electrons, and neutrinos. The protons and neutrons underwent some fusion during the first three minutes, thereby determining the basic chemical composition of the universe.
The correct statement summarizing the events in the early universe according to the Big Bang theory is option D.
After the forces of the cosmos came together, there was a time of inflation. Then subatomic matter and antimatter particles appeared, the majority of which annihilated to produce photons. Protons, neutrons, electrons, and neutrinos were among the particles that did not decay, though. During the first three minutes, protons and neutrons fused, revealing the universe's basic chemical make-up.
All of the fundamental forces of nature were combined in the early moments of the Big Bang. But the forces split into various interactions as the cosmos grew and contracted. This trend was accompanied by inflation, a rapid expansion. After inflation, a hot, thick soup of energy flooded the entire cosmos.
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When using a universal indicator, if a substance has a pH of 5 it is
Basic
Acidic
Neutral
Answer:
Acidic
Explanation:
pH 1 to 6 = acidic
pH 7 = neutral
pH 8 to 14 = basic
Answer: Acidic
Explanation: Lower than 7 on the pH scale is acidic, higher than 7 is basic. A 5 on the pH scale is less than 7, so it is acidic.
______ is a simple movement in which two opposing surfaces slide slightly back-and-forth or side-to-side with respect to one another.
Answer:
Flashcards
Explanation:
Make me brainlist
Re word this paragraph; so Its 'put in my own words' try to mix up the places of each sentences too please!
-
The sun creates three different types of electromagnetic radiation, which is considered harmful to humans. The light created includes X-rays, gamma rays, and ultraviolet light. These rays are harmful because of their high energy values, which are caused by their large frequencies. The gases of Earth's atmosphere absorb the high energy radiation, causing their molecules to move faster, but none of the light radiation reaches Earth's surface. Luckily for us, the high frequency of gamma rays and X-rays, as well as most ultraviolet light, cannot penetrate Earth's atmosphere and does not reach Earth's surface. If those harmful rays did reach Earth's surface it would make the planet plain to earth's
-
Answer:
here you go -
Explanation:
try using the paraphrasing tool website!
The sun makes three unique sorts of electromagnetic radiation, which is considered hurtful to people. The light made incorporates X-beams, gamma beams, and bright light. These beams are unsafe as a result of their high energy esteems, which are brought about by their enormous frequencies. The gases of Earth's air assimilate the high energy radiation, making their atoms move quicker, yet none of the light radiation arrives at Earth's surface. Fortunately for us, the high recurrence of gamma beams and X-beams, also as most bright light, can't enter Earth's environment and doesn't arrive at Earth's surface. In the event that those hurtful beams arrived at Earth's surface it would make the planet plain to earth's
Revenue on account amounted to $6,600. Cash collections of accounts receivable amounted to $6,300. Cash paid for expenses was $4,300. The amount of employee salaries accrued at the end of the year was $2,100. Cash flow from operating activities was
The cash flow from operating activities is $5,600, this figure indicates the net amount of cash generated or used by the company's core operations during the specified period.
Determine the cash flow?To calculate the cash flow from operating activities, we need to adjust the revenue and expenses for non-cash items and changes in working capital. Here's how we derive the answer:
Revenue on account: $6,600 (non-cash item)
Cash collections of accounts receivable: $6,300 (cash received from accounts receivable)
Change in accounts receivable: $6,600 - $6,300 = $300 (increase in accounts receivable)
Cash flow from operating activities = Revenue on account - Change in accounts receivable + Cash paid for expenses - Amount of employee salaries accrued at the end of the year
Cash flow from operating activities = $6,600 - $300 + $4,300 - $2,100
Cash flow from operating activities = $5,600
Therefore, the cash flow from operating activities is $5,600.
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what is the SI unit of charge and how is this related to the fundamental unit of charge? How is this different for an electron and a proton
The SI unit of charge is the coulomb (C). It is related to the fundamental unit of charge, which is the charge of an electron or proton. The magnitude of the charge of an electron is equal to -1.602 x 10^-19 C, while the magnitude of the charge of a proton is equal to +1.602 x 10^-19 C.
This means that an electron has a negative charge and a proton has a positive charge. The charge of an object is determined by the number of electrons and protons it has. If an object has an equal number of electrons and protons, it is said to be neutral and has a charge of zero.
The charge of an object can be measured using an instrument called an electrometer. Conductors, such as metals, have a high degree of conductivity and can easily transfer charge. In contrast, insulators have a low degree of conductivity and do not easily transfer charge.
The SI unit of conductance is the siemens (S), which is the reciprocal of resistance (ohms). The conductance of a material is determined by its ability to allow the flow of electric current. The concentration of charged particles in a material can affect its conductivity. For example, increasing the concentration of ions in an electrolyte solution can increase its conductivity.
A lump of metal was placed in a liquid whose temperature is held constant at 80oF. The initial temperature of the lead block was 30oF. After 10 minutes, the temperature of the lead block was 60oF. Assuming that the temperature of the lump obeys Newton's Law of Cooling, determine the temperature T of the lump after t minutes.
The temperature T of the lump of metal after t minutes, assuming it obeys Newton's Law of Cooling, can be expressed as T = -30kt + 30. However, the value of the cooling constant k is not provided, so it is not possible to determine the exact temperature without additional information.
Newton's Law of Cooling states that the rate of change of temperature of an object is directly proportional to the temperature difference between the object and its surroundings. Mathematically, this can be expressed as:
dT/dt = -k(T - Ts)
where dT/dt is the rate of change of temperature with respect to time, T is the temperature of the object, Ts is the temperature of the surroundings, and k is the cooling constant.
In this case, we can use the given data to find the value of k. After 10 minutes, the temperature of the lead block was 60oF, and the temperature of the surroundings was held constant at 80oF. Plugging these values into the equation, we have:
dT/dt = -k(60 - 80)
Simplifying the equation, we get:
-30k = dT/dt
Integrating both sides, we have:
∫-30k dt = ∫ dT
-30kt + C1 = T
Since the initial temperature of the lead block was 30oF, we can substitute t = 0 and T = 30 into the equation:
-30k(0) + C1 = 30
C1 = 30
Therefore, the equation for the temperature of the lump after t minutes is:
T = -30kt + 30
To determine the temperature T after a specific time t, we need to know the value of k.
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define balanced force
Answer:
two forces are acting on an object but both forces are equal making the object still
Explanation:
Answer:
When two forces acting on an object are equal in size but act in opposite directions, we say that they are balanced forces . If the forces on an object are balanced (or if there are no forces acting on it), this is what happens: ... a moving object continues to move at the same speed and in the same direction.
Explanation:
What is your displacement if you travel 5 miles north to the store
Answer:
5miles North
Explanation:
The displacement to the store is 5miles northward.
Displacement is the distance traveled in a specific direction. Displacement is a vector quantity.
A vector has both magnitude and direction.
The magnitude is the amount of that quantity
The direction is its orientation from a reference.
Therefore, the displacement is 5miles north
what is meant by si unit?
Answer:
The SI base units are the standard units of measurement defined by the International System of Units (SI) for the seven base quantities of what is now known as the International System of Quantities: they are notably a basic set from which all other SI units can be derived.
Explanation:
A new ride being built at an amusement park includes a vertical drop of 70.0 meters. Starting from rest, the ride vertically drops that distance before the track curves forward. The velocity at the bottom of the drop is 12.0 m/s and the mass of the cart and passengers is 3.5 x 104 kg.
a. Calculate the potential, kinetic and total energy at the top.
b. Calculate the potential, kinetic and total energy at the bottom.
c.Is the total energy at the top equal to the total energy at the bottom? Justify your observation.
The potential, kinetic and total energy at the top are 2.38 x 10⁷ Joule, 0 Joule, 23.8 x 10⁶ Joule respectively and the potential, kinetic and total energy at the bottom are 0 Joule, 2.448 x 10⁶ Joule, 2.448 x 10⁶ Joule respectively. moreover the total energies are not same as not all potential energy converting into Kinetic energy of vertically drop of ride as the ride moves straight afterwards so that also need some energy which is again coming from potential energy.
Energies at the top:-
Potential energy = mgh
Potential energy = 3.4 x 10⁴ × 10 × 70 Joule
Potential energy = 2.38 x 10⁷ Joule
Kinetic Energy = (1/2) mv²
Kinetic Energy = (1/2) × 3.4 x 10⁴ × 0²
Kinetic Energy = 0 Joule
Total Energy = Potential Energy + Kinetic Energy
Total Energy = ( 23.8 x 10⁶ Joule ) + ( 0 Joule )
Total Energy = 23.8 x 10⁶ Joule
Energies at the bottom:-
Potential energy = mgh
Potential energy = 3.4 x 10⁴ × 10 × 0 Joule
Potential energy = 0 Joule
Kinetic Energy = (1/2) mv²
Kinetic Energy = (1/2) × 3.4 x 10⁴ × 12²
Kinetic Energy = 2.448 x 10⁶ Joule
Total Energy = Potential Energy + Kinetic Energy
Total Energy = ( 0 Joule ) + ( 2.448 x 10⁶ Joule )
Total Energy = 2.448 x 10⁶ Joule
The total energies are not the same since not all potential energy is converted into Kinetic energy of the vertical drop of the ride as the ride travels straight thereafter thus that also requires some energy which is again derived from potential energy.
So we have calculated the potential, kinetic and total energy at top and bottom both, and also stated the reason of why total energy at the top is not equal to the total energy at the bottom.
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Hi :)
Does anyone know the phases of an lunar eclipse
Pls answer quickly
x Methane, has a molar mass of 16.03 grams per mole. How many particles o of methane are present in 120 grams?
In order to determine the number of particles of methane, use the following expression:
number of particles = (mass /molar mass ) x Avogadro's number
in this case, you have:
molar mass = 16.03 grams/mole
mass = 120 grams
Avogadro's number = 6.02*10²³ particles/mol
replace the previos values of the parameters into the formula for the number of particles:
number of particles=(120 grams/ 16.03 grams/ mol)x(6.02*10²³particles/mol)
= (7.46 mol) x (6.02*10²³ particles/mol)
= 4.50*10²⁴ particles
Hence, the number of particles of methane, in 120 grams, is 4.50*10²⁴
An object is thrown upwards with a velocity of 15 m/s. How long will the ball take to reach it’s starting point ?
Answer:
about 2s or 3s,
Explanation:
15 m/s - 9.8 m/s = 5.2 m/s (1 sec)
5.2 m/s - 9.8 m/s = -4.6 m/s (2 sec)
the ejected gases have a mass that is small compared to the mass of the spacecraft. you then continue coasting with the rocket engines turned off. what will be the components of your position vector an hour later? start by finding the x component, rf,x
The final position of the rocket after 1 hour is (2.64 × 10⁴, 3.5 × 10⁴, 0).
Initial velocity, = (0, 2× 10⁴, 0)
Initial location, = (1.2× 10⁴, 1.5 × 10⁴, 0)
Net force acting, F₁ = (6× 10⁴, 0, 0) N
Mass of the rocket, m₁ = 1.5 × 10⁴
Initial momentum, p₁ = mv₁ = (1.5 × 10⁴) × (0, 2× 10⁴, 0)
p₁ = (0, 3 × 10⁸, 0)
Final momentum after 1 hour(3600 sec), P₂ = p₁ + F₁×Δt
P₂ = (0, 3 × 10⁸, 0) + (6× 10⁴, 0, 0)×3600
P₂ = (2.16 × 10⁸, 3 × 10⁸, 0)
Final position of this time,
r₂ = r₁ + (P₂)/m₁
r₂ = (1.2 × 10⁴, 1.5 × 10⁴, 0) + (2.16 × 10⁸, 3 × 10⁸, 0)/(1.5 × 10⁴)
r₂ = (2.64 × 10⁴, 3.5 × 10⁴, 0)
--The given question is incomplete, the complete question is:
"Suppose that you are navigating a spacecraft far from other objects. The mass of the spacecraft is 1.5 × 10⁴ kg. The rocket engines are shut off, and you're coasting along with a constant velocity of (0, 2× 10⁴, 0) m/s. As you pass the location (1.2× 10⁴, 1.5 × 10⁴, 0) you briefly fire side-thruster rockets, so that your spacecraft experiences a net force of (6× 10⁴, 0, 0) N for 1 hour. After turning off the thrusters, you then continue coasting with the rocket engines turned off. The ejected gases have a mass that is small compared to the mass of the spacecraft. you then continue coasting with the rocket engines turned off. what will be the components of your position vector an hour later? start by finding the x component, rf,x?"
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Un trozo de hielo de 70 g se introduce en 450 g de agua a 23 ºC. ¿Cuál es la temperatura final de equilibrio suponiendo que no hay intercambio de calor entre el sistema y el ambiente?
Answer:
the answer is 250
Explanation: took the test
In what ways is thermal energy transferred during physical and chemical changes
Explanation:
chemical changes
>produce new substances w/ different chemical structure/ properties
> thermal energy can be used to BREAK bonds (endothermic)
>thermal energy can be transferred to a chem rxn to help form new products (endothermic)
> heat can be released by an exothermic chemical reaction (excess energy- the total energy used to break bonds is less than energy released in forming new bonds)
physical changes
>does not result in new substances (typically changes in state- solid, liquid, gas)
> thermal energy can be transferred to EVAPORATE water (add thermal E... water (liquid) to steam (gas)) or FREEZE water (remove thermal E... water (liquid) to ice (solid))
Find a unit vector in the direction of the vector [−56/105]. A unit vector in the direction of the given vector is [. (Type integers or simplified fractions.)
The unit vector in the direction of the given vector is [-1, 1/2].
A unit vector in the direction of the given vector [−56/105], we need to normalize the vector by dividing each component by its magnitude.
The magnitude of the vector [−56/105] can be calculated as:
|[-56/105]| = \(\sqrt {((-56/105)^2)\) = \(\sqrt {(3136/11025)\) =\(\sqrt {(56^2 / 105^2\)) = 56/105
Normalize the vector, we divide each component by the magnitude:
[-56/105] / (56/105) = [-56/105] * (105/56) = [-1, 1/2]
a unit vector, we divide each component of the vector by its magnitude.
Dividing [-56/105] by (56/105) yields [-56/105] * (105/56) = [-1, 1/2].
A unit vector in the direction of the given vector is [-1, 1/2]. This means that the vector [-1, 1/2] has the same direction as the original vector [-56/105], but its length or magnitude is equal to 1.
Unit vectors are useful as they represent only the direction of a vector, allowing for easy comparison and calculation without concerns for the vector's scale or magnitude.
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A passenger weighing 500N is inside an elevator weighing 24500 N that rises 30 m every minute. How much power is needed for the elevator’s trip?
A passenger weighing 500N is inside an elevator weighing 24500 N that rises 30 m every minute is 12500 W (12.5 kW).
What is Power?
Power is the amount of work that is done per unit of time. It can be associated with the speed of a change of energy within a system, or the time it takes to perform a job.
There are different types of power,
Mechanical power: is that work performed by an individual or a machine in a certain period of time.
Electric power: which is the result of the multiplication of the potential difference between the ends of a load and the current flowing there.
P= W/t
Where, P- Power,
W- Work
T- Time
The total weight of the passenger + elevator is
Fg = 500+24500
= 25000
The total work done to rise the elevator + passenger is equal to the product between the total weight and the distance covered during the trip (d = 30 m):
W = Fgd
= 25000×30
=7,50,000 J.
The power needed for the trip is equal to the ratio between the work done (W) and the time taken (t):
P = W/t
Since the time taken is t = 1 min = 60 s, the power needed is
P = 750000 / 60
= 12,500 W
P = 12.5 kW
Thus, Power was calculated as P = 12.5 kW.
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battery is connected to rod 1, whose length is l and cross-sectional area a. the drift speed of electrons in this rod is vd. an identical battery is connected to rod 2, which is made of exactly the same material as rod 1, of length 3l and cross-sectional area a/2. what is the drift speed of electrons in rod 2?
The drift speed of electrons in rod 2 is 6 times the drift speed in rod 1 when an identical battery is connected.
The drift speed of electrons in a conductor is given by the formula:
\(v_d = (I / n \times A \times q)\)
where I is the current, n is the number of charge carriers per unit volume, A is the cross-sectional area of the conductor, q is the charge on the electron and \(v_d\) is the drift speed.
Since both rods are made of the same material, they have the same number of charge carriers per unit volume, n.
Let's consider the circuit with the battery connected to rod 1 first. The current \(I_1\) flowing through rod 1 is given by:
\(I_1 = V / R_1\)
where V is the voltage of the battery, and \(R_1\) is the resistance of rod 1.
The resistance of rod 1 is given by:
\(R_1 = \rho \times l / A\)
where ρ is the resistivity of the material.
Substituting this into the expression for \(I_1\), we get:
\(I_1 = V \times A / (\rho \times l)\)
Now, let's consider the circuit with the battery connected to rod 2. The current \(I_2\) flowing through rod 2 is given by:
\(I_2 = V / R_2\)
where \(R_2\) is the resistance of rod 2.
The resistance of rod 2 is given by:
\(R_2 = \rho \times 3l / (A/2) = 2\rho \times 3l / A\)
Substituting this into the expression for \(I_2\), we get:
\(I_2 = V \times A / (2\rho \times 3l)\)
We can equate the expressions for \(I_1\) and I2 since they are in series and have the same voltage source:
\(V_{d_1} \times A / (\rho \times l) = V_{d_2} \times A / (2\rho \times 3l)\)
Simplifying this expression, we get:
\(v_{d_2} = v_{d_1} \times 6\)
Therefore, the drift speed of electrons in rod 2 is 6 times the drift speed in rod 1.
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stars of lower mass have deeper convection zones outside their cores than stars of higher mass. True or False
True, stars of lower mass have deeper convection zones outside their cores than stars of higher mass. This is because lower-mass stars have lower temperatures and pressure in their cores, leading to a more extensive outer convection zone.
Convection is the process by which heat is transported in a fluid (or gas) by the motion of the fluid itself. In stars, convection occurs in the outer layers of the star, where the energy generated by nuclear fusion in the core is transported to the surface.
The depth of the convection zone in a star depends on the mass and temperature of the star. Stars of lower mass have lower temperatures and hence, a deeper convection zone than stars of higher mass. This is because convection is more efficient at transporting energy in cooler fluids. In addition, the structure of the convection zone can also be influenced by other factors, such as the metallicity of the star and its rotation rate.
Therefore, the statement "stars of lower mass have deeper convection zones outside their cores than stars of higher mass" is generally true, although there can be some variations depending on other factors.
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A man starts his motion from rest with uniform acceleration of 1 m/s2, then his
velocity equals 1 m/s during
from starting his motion.
averag
I need the formula please
Explanation:
can u pls ask the question again? No full information! I mean are you required the time it takes or what ?
You arrive in science class 45 seconds after leaving math which is 90 meters to the south. What is your velocity?
Explanation: Well, If you arrive in my class 45 seconds after leaving math, which is 90 meters away. you traveled 2m/s ( I hope this helped <3)
When you use your senses to gather information you are
An observation is information we gather about something by using the senses.
We have a toy gun with a spring constant of 50 N/m. The spring is compressed by 0.2 m. If you neglect friction and the mass of the spring, at what speed will a 2 g projectile be ejected from the gun
Answer:
\(31.6\:\mathrm{m/s}\)
Explanation:
The elastic potential energy of a spring is given by \(Us=\frac{1}{2}kx^2\), where \(k\) is the spring constant of the spring and \(x\) is displacement from point of equilibrium.
When released, this potential energy will be converted into kinetic energy. Kinetic energy is given by \(KE=\frac{1}{2}mv^2\), where \(m\) is the mass of the object and \(v\) is the object's velocity.
Thus, we have:
\(Us=KE,\\\frac{1}{2}kx^2=\frac{1}{2}mv^2\)
Substituting given values, we get:
\(\frac{1}{2}\cdot 50\cdot 0.2^2=\frac{1}{2}\cdot 0.002\cdot v^2,\\v^2=\frac{50\cdot 0.2^2}{0.002},\\v^2=1000,\\v\approx \boxed{31.6\:\mathrm{m/s}}\)
The crew will plug portable equipment into a UOP (Utility Outlet Port). Each UOP has two connections that can be used for 120-volt power. One portal is used to power a complex circuit of total resistance of 10 Ω. The complex circuit consists of 3 different resistors of which two are in parallel and the third is in series. One of the resistors that is in parallel has a resistance of 4 Ω. The product of the other two resistors is 28.25. Determine the possible resistances. Draw a model of the circuit.
We have that for the Question the possible resistances are and the diagram displaying the model of the circuit is attached below
R2=3,469ohmsR3=8.142ohmsFrom the question we are told
The crew will plug portable equipment into a UOP (Utility Outlet Port). Each UOP has two connections that can be used for 120-volt power. One portal is used to power a complex circuit of total resistance of 10 Ω. The complex circuit consists of 3 different resistors of which two are in parallel and the third is in series. One of the resistors that is in parallel has a resistance of 4 Ω. The product of the other two resistors is 28.25. Determine the possible resistances. DResistancesFrom the description we have
R_2R_3=28.25
Generally the equation for the Total R is mathematically given as
\(R_t=R_3+\frac{R1+R_2}{R_1+R_2}\\\\Therefore\\\\10=R_3+\frac{R1+R_2}{R_1+R_2}\\\\2R3-3R2=5.875 \\\\\)
Hence
From the two distinct equations
\(R2=\frac{28.35}{R3}\)
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Who am I answer key
Answer:
huh
Explanation:
32. If a ball is given a push so that it has an initial velocity of 2 m/s down a certain inclined plane, then the distance it has rolled after t seconds is s = 2t + t2. How long does it take for the velocity to reach 24 m/s? (a) 2 seconds (b) 4 seconds (c) 5 seconds (d) 11 seconds (e) 12 seconds
If a ball is given a push so that it has an initial velocity of 2 m/s down a certain inclined plane, then the distance it has rolled after t seconds is s = 2t + t². Then it takes 11 seconds for the velocity to reach 24 m/s. The correct option is D.
To find the time it takes for the velocity of the ball to reach 24 m/s, we need to solve for the time when the velocity function equals 24 m/s.
The velocity function is the derivative of the distance function, so we'll first find the derivative of the distance function s = 2t + t² with respect to time t:
ds/dt = d/dt(2t + t²)
ds/dt = 2 + 2t
Now we can set the velocity function equal to 24 m/s and solve for t:
2 + 2t = 24
Subtracting 2 from both sides:
2t = 22
Dividing both sides by 2:
t = 11
Therefore, it takes 11 seconds for the velocity to reach 24 m/s.
The correct answer is (d) 11 seconds.
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