[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Here we go ~
As we have been given, The spring of spring constant " m " was cut to form 2 new springs in ratio of 5 : 3.
we have to find out the spring constant of the longer spring which was formed, and it's given that spring constant of the main spring was " m "
Now, let the length of main spring be " l "
So, lengths of the resultant springs will be :
[tex]\qquad \cal \dashrightarrow \: \dfrac{5l}{8} \: \: and \: \: \dfrac{3l}{8} \: \: \: \: respectively[/tex]
And we know that spring constant is inversely proportional to length of spring so, we infer that :
[tex]\qquad \cal \dashrightarrow \: m\propto \dfrac{1}{l} m \: \: \: \: \: - (1)[/tex]
where, m is spring constant of main spring and l is its length.
[tex]\qquad \cal\dashrightarrow \: m_1 \propto \dfrac{8}{5l} \: \: \: \: \: \: \: - (2)[/tex]
where, m1 is spring constant of longer spring, and 5l/8 is its length.
let's divide (2) by (1), we will get ~
[tex]\qquad \cal \dashrightarrow \: \dfrac{m_1}{m} = \dfrac{8}{5l} \div \dfrac{1}{l} [/tex]
[tex]\qquad \cal \dashrightarrow \: \dfrac{m_1}{m} = \dfrac{8}{5l} \times \dfrac{l}{1} [/tex]
[tex]\qquad \cal \dashrightarrow \: \dfrac{m_1}{m} = \dfrac{8}{5} [/tex]
[tex]\qquad \cal \dashrightarrow \: {m_1}{} = \dfrac{8}{5} m [/tex]
So, the spring constant of equivalent longer strong formed will be 8/5 m
prove:
[tex]m_2 = \frac{8m}{5} [/tex]
Explanation:
Given:
Spring constant of spring= m
The ratio of spring = 5:3
To find:
spring constant of the larger piece of spring?
Solution:
Let the length of larger piece L2 be 5x and smaller piece L1 be 3x with spring constant m2 and m1 respectively.
now,
spring constant (m) inversely proportional to the length of spring i.e.
[tex]m \propto \: \frac{1}{l} {,}\: m_1 \propto \: \frac{1}{l_1} {,}\: m_2 \propto \: \frac{1}{l_2}[/tex]
Also,
The spring is connected in series hence,
[tex] \frac{1}{m} = \frac{1}{m_1} + \frac{1}{m_2} [/tex]
and
[tex] \frac{m_1}{m_2} = \frac{l_2}{l_1} \\ {m_1} = {m_2} \cdot \frac{l_2}{l_1} \\ {m_1} = {m_2} \cdot \frac{5}{3} \\ [/tex]
Substituting above value in,
[tex] \frac{1}{m} = \frac{1}{m_1} + \frac{1}{m_2} \\ \frac{1}{m} = \frac{1}{{m_2} \cdot \frac{5}{3}} + \frac{1}{m_2} \\ \frac{1}{m} = \frac{3}{5m_2} + \frac{1}{m_2} \\ \frac{1}{m} = \frac{3m_2 + 5m_2}{5 {m_2}^{2} } \\ \frac{1}{m} = \frac{8m_2}{5 {m_2}^{2} } \\ \frac{1}{m} = \frac{8 \cancel {m_2}}{5 \cancel{m_2}^{2} } \\ \frac{1}{m} = \frac{8}{5m_2} \\ m_2 = \frac{8m}{5} [/tex]
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If a supernova remnant core has a mass greater than 2.8 solar masses, then what force will be able to stop gravity from collapsing the core
If a supernova remnant core has a mass greater than 2.8 solar masses, then NO force will be able to stop gravity from collapsing the core. (Option C)
What is a Supernova Remnant Core?A supernova Remnant Core is an astronomic structure that is remaining after the explosion of a star in a supernova has occurred.
A supernova is simply the explosion of a star. When the mass of the sun is used as a unit of mass, it is called solar mass. This unit is given as:
1.989 × 1030 kg.
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What is science?
options:
A theory or law
A system or process of acquiring knowledge about the natural world
A subjective study or experiment
A method used to provide answers to all questions
Answer:
all subjective study or experiment if the correct answer of given statement
Answer:
science is a practical yet knowledge based subject based of the way of subtle nature and way everything works . neither theory nor law . science is a thing that constitutes both in a way further understandable and easy . hope it solved you query
Which of the following describes the best strategy for increasing a specific joint's range of motion? a. developing a rigorous whole-body exercise program b. avoiding stretching before vigorous exercise c. applying the principles of overload and progression to exercise the joint d. spending two hours swimming daily please select the best answer from the choices provided. a b c d
Answer:
C
Explanation:
I got it right on edge 2022
Answer:
c
Explanation:
because im hot
everything that you can touch is
Answer:
real
Explanation:
what is the speed of light faster than the speed of sound in air?
Explanation:
The speed of light in air is approximately 300,000,000 meters per second. The speed of sound in air is approximately 343 meters per second. Light is the propagation of electromagnetic waves, while sound is the physical vibration of the medium
What are the similarities between the two models of the solar system?
The similarities between the two models of the solar system are :
Both models are made using the solar system ( including the stars and moon ). Both models explains the revolution of stars and moons and other planets around a central planet. Both models explain the rotation pattern of the solar system. Different models of solar systemThe solar system can be represented using two different models ( the Earth centered model and the sun centered model ) in both model the sun or the earth is kept as a central planet while other planets including the moon and stars revolve round the central planet.
Hence we can conclude that the similaritied between the models are as listed above.
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At the end stages of their lives, most stars will become: (A) Planetary nebulae (B) White dwarfs (C) Neutron stars (D) Black holes (E) Brown dwarfs (F) Both A and B
A star will become a white dwarf when its nuclear fuel is finished because of no more emission of heat and light.
What happen when a star comes to its end stage?When the end of the nuclear burning stage of a star comes, such a star expels most of its outer material creating a planetary nebula until only the hot core remains. When this core settles down, it will become a young white dwarf.
So we can conclude that a star will become a white dwarf when its nuclear fuel is finished because of no more emission of heat and light.
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is the SI unit of heat energy.
Answer:
Joule (J)
Explanation:
Joule (J) is the SI unit of heat energy (any energy - thermal, electrical, mechanical..). It is named after the English physicist James Prescott Joule.
you look up and see a helicopter pass directly overhead. 3.10s later you hear the sound of the engine. if the air temperature is 23.0 degrees c, how high was the helicopter flying?
Answer:
Time,
t
=
3.1
s
Temperature,
T
=
23.0
∘
Speed of the sound at
23.0
∘
can be given as,
{eq...
What is the function of the load in
an electric circuit?
A. The load is the source of the energy.
B. The protons flow through the load.
C. The load is whatever is receiving the energy in
the circuit.
D. The load safely opens and closes the circuit.
The function of the load in an electric circuit is it safely opens and closes the circuit. Thus, the correct option is D.
What is load in an electric circuit?An electrical load is an electrical component or a portion of the electric circuit which consumes electric power, such as electrical appliances and lights inside the house. The electric loads may also refer to the power consumed by a circuit. This is opposite to a power source, such as a battery or a generator, which produces electric power.
The base load power plants typically are the coal-fueled or nuclear plants due to their low-cost fuel and steady state power they can produce in a plant. The hydropower and geothermal power plants can also be used for the purpose of base load electricity generation if those resources are regionally available.
Therefore, the correct option is D.
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Suppose the wavelength in the formula developed by balmer was 410 nm. What is the value of n?.
Answer:
The Balmer series is given by
1 / λ = R (1 / 2^2 - 1 / n^2)
where R is the Rydberg constant of 1.0968E-3 / Angstroms
(1 Angstrom = 1.0E-1 nm = 10E-10m)
Let x = (1 / 4 - 1 / n^2)
x = 1 / (R λ)
Note 410 nm = 4100 A
x = 1 / (1.0968E-3 * 4.1E3) = 1 / (1.0968 * 4.1) = .222
If we write
x = 1/4 - 1/n^2 = .222
1/n^2 = 1/4 - .222 = .0276
n^2 = 36.2
So n = 6
(Since modern terminology gives wavelengths in nanometers - it might be helpful to write R = 1.0968E7 m-1)
Examine table b then read the statement and choose the best responses. as the resistance increased under 25 v, the current . compared to calculated currents, experimental currents proved to be . currents varied proportionally according to resistance: 10 ω of resistance produced a current of a, while 100 ω of resistance produced a current of a.
The best responses to the statements are:
a. the current decreased.
b. The Same.
c. 2.5.
d. 0.25.
What is resistance?In an electrical circuit, resistance is a measure of the resistance to current flow.
The Greek letter omega is used to represent resistance in ohms.
The resistance is inversely proportional to the current.
Thus, the correct options are a. the current decreased.
b. The Same.
c. 2.5.
d. 0.25.
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Answer:
Ye ye answer be below:
Explanation:
~Hope this helps! :)
Order the objects by typical relative size. Smallest first to largest last.
Universe, star, galaxy, moon, planet
Please answer asap!
Answer:
moon planet star galaxy universe
How is the rpm (revolutions per minute) of an actual four-stroke gasoline engine related to the number of thermodynamic cycles
Answer:
The gasoline engine would have:
intake stroke
compression stroke
power stroke
exhaust stroke
This is a total of 2 revolutions and 4 thermodynamic cycles
So the number of thermodynamic cycles is twice the rpm of the engine
(100 points in return)
A baseball is flying through the
air at 40 m/s east. This
measurement represents the
ball's
A. speed
B. velocity
C inertia
D. force
Answer:
[tex] \huge\boxed {\sf Velocity}[/tex]
Explanation:
The unit of measurement is m/s hence it can not inertia or force because the unit of intertia and force are kg m² & kg⋅m/s² respectively, hence Option C and Option D can not be the right answer.
To understand the final answer one must know the difference between velocity and speed.
Velocity is a vector quantity which is direction specific. It's the displacement per unit time, the displacement is an vector quantity.
[tex] \sf \: Velocity = \frac{Displacement }{Time} [/tex]
Velocity can be positive negative or zero!
Speed is a scalar quantity which tells the distance covered in unit time. since it's a scalar it have magnitude only, not direction.
[tex] \sf \: Speed = \frac{Distance }{Time} [/tex]
Speed is always either zero or positive.
In the question it tells the baseball is flying through the air at 40 m/s east,
if it was only 40m/s with no direction then it would be speed. but the east is indicating the direction and velocity includes the direction hence the given measurement represents Velocity.
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Study the scenario. A turbine spins as wind blows across it, generating electricity. The System consists of the wind, turbine, air, generator, and electrical wires. Which image and description best analyzes the flow of energy?
A.) The total energy of the system remains constant due to the law of conservation of energy.
B.) the total energy of the system increases because energy is gained during transformations.
C.) The total energy of the system remains constant due to the law of conservation of energy.
D.) The total energy of the system increases because energy is gained during transformations.
Answer:
The total energy of the system remains constant due to the law of conservation of energy.
The diagram is the one that starts with "wind energy" and breaks up into "heat energy in the turbines and air" and "kinetic energy in moving the turbine"
Explanation:
I just took the test and this was the correct answer.
A solenoid 1.85 m long and 2.20 cm in diameter carries a current of 21.0 A. The magnetic field inside the solenoid is 25.0 mT. Find the length of the wire forming the solenoid.
Answer:
A wire carrying a 30.0-A current passes between the poles of a strong magnet that is perpendicular to its field and experiences a 2.16-N force on the 4.00 cm of wire in the field. What is the average field strength?
Explanation:
hope this helps trying to be brainliest
What is wave? What does a wave carry with it
Answer:
A wave carries energy
Explanation:
Summarize your findings by describing the result of adding various combinations of red, green, and blue primary light colors in equal intensities And explain the result of adding these primary colors in unequal intensities.
White color is the result of adding various combinations of red, green, and blue primary light colors in equal intensities.
What are primary colors?The three primary colors are Red, green, and blue. This implies that by additively combining the colors red, green, and blue in varied proportions the different color is obtained.
Practically all other colors may be made, and when the three primaries are mixed together in equal amounts, white is produced.
Hence white color is the result of adding various combinations of red, green, and blue primary light colors in equal intensities.
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The hertzsprung-russell diagram, for classifying stars based on the relationship between their brightness, temperature and color, is provided below. which type of star would our sun be? question 3 options: white dwarf red giant supergiants main sequence
The Sun is a main-sequence star which is also known as G2V.
How sun is formed?It can also known as yellow dwarf because of its yellow colour. It was formed about 4.6 billion years ago from the gravitational collapse of matter of a large molecular cloud.
So we can conclude that the Sun is a main-sequence star which is also known as G2V.
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What is the force exerted on a charge of 2.5 µc moving perpendicular through a magnetic field of 3.0 × 102 t with a velocity of 5.0 × 103 m/s?
The forces exerted on a charge will be 3.75 N.The force acted on the charge due to the electric field.
What is electric force?The electric force between the two charges is directly propotional to the product of the charge and inversly propotional to the square of the distance between them.
The given data in the problem is;
F is the force exerted
q is the charge = 2.5 µc
[tex]\rm \alpha[/tex] is the angle = 90°
B is the magnetic field = 3.0 × 10² T
v is the velocity = 5.0 × 103 m/s
Force on the moving charge is found as;
[tex]\rm F = q V B sin \alpha \\\\ F = 2.5 \times 10^{-6} \times 3 \times 10^{-2} \times 5 \times 10^3 \\\\ F=3.75 \ N[/tex]
Hence the force exerted on a charge will be 3.75 N
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WILL GIVE BRAINLIEST TO THE FIRST PERSON!!!! Ernest Rutherford performed the "gold foil experiment," in which he bombarded a thin sheet of gold foil with positively charged particles. How was the atomic model he proposed different from the previous model of the atom? Write one or two sentences to describe the evidence on which he based his conclusions. (2 points)
aprx
Answer:
Most alpha particles went right through. This showed that the gold atoms were mostly empty space
a car is 500m behind a truck. if the speed of the car is 80km/h and speed of the truck is 60km/h how long will it take for the car to reach the truck
A child standing on the edge of a freely spinning merry-go-round moves quickly to the center. Which one of the following statements is necessarily true concerning this event and why?
a. The angular speed of the system increases because the moment of inertia of the system has decreased.
b. The angular speed of the system increases because the moment of inertia of the system has increased.
c. The angular speed of the system decreases because the moment of inertia of the system has increased.
d. The angular speed of the system remains the same because the net torque on the merry-go-round is zero n x m.
e. The angular speed of the system decreases because the moment of inertia of the system has decreased
Answer:
The angular speed of the system increases because the moment of inertia of the system has decreased.
Explanation:
Which element is the main component of
steel and the most widely used of all metals
Answer:
iron
Explanation:
A particle's position (in meters) is given by the equation s(t) = 5x sin(2x), on the interval [-1, 4] minutes. What is its instantaneous velocity at t = 0?
You almost certainly meant to say the particle's position is a function of time t, not some other variable x (or vice versa) so that
s(t) = 5t sin(2t)
Differentiate s(t) to get the instantaneous velocity of the particle at time t. By the product rule,
s'(t) = 5 sin(2t) + 10t cos(2t)
Evaluate the derivative at t = 0 :
s'(0) = 0
The instantaneous velocity at t = 0 is 0 m/s.
To find the instantaneous velocity at t = 0, we need to take the derivative of the position function s(t) with respect to time (t). The derivative of s(t) gives us the velocity function v(t), which represents the particle's velocity at any given time t.
Given the position function s(t) = 5t * sin(2t), we find the velocity function v(t) by taking the derivative:
v(t) = d/dt (5t * sin(2t)).
To find the velocity at t = 0, we substitute t = 0 into the velocity function:
v(0) = 5 * 0 * sin(2 * 0) = 0.
Therefore, the instantaneous velocity of the particle at t = 0 is 0 m/s. This means that at t = 0, the particle is momentarily at rest, and its velocity is neither increasing nor decreasing at that specific moment.
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Use the drop-down menu to complete the paragraph. tungsten wire is used as the filament in light bulbs. it glows white-hot as current passes through it. tungsten is used in light bulbs because its high converts electric energy into light and heat.
Answer:
Resistance / Edge 2022
Explanation:
This is late, but just in case someone needs the answer. Hope this helps!
(*^▽^*)
Tungsten metal is used exclusively for making the filament of electric bulbs because it has a very high melting point
What is a tungsten bulb?Tungsten metal is used exclusively for making the filament of electric bulbs because it has a very high melting point. Due to its high melting point, the tungsten filament can be kept white-hot without melting away
Tungsten wire is used as the filament in light bulbs. It glows white-hot as current passes through it.
Tungsten is used in light bulbs because its high resistivity converts electric energy into light and heat.
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An electronic device has a resistance of 20 ohms and a current of 15 A. What is the voltage across the device ?
Question :-
An Electronic Device has a Resistance of 20 Ohm's and a Current of 15 Ampere . What is the Voltage across the Device ?Answer :-
Voltage of the Device is 300 Volt's .[tex] \rule {180pt}{2pt} [/tex]
Given :-
Resistance = 20 Ohm'sCurrent = 15 AmpereTo Find :-
Voltage = ?Solution :-
As per the provided information in the given question, we have been given that the Resistance of the Device is 20 Ohm's. It's Current is given as 15 Ampere . And, we have been asked to calculate the Voltage .
For calculating the Voltage , we will use the Formula :-
[tex] \bigstar \: \: \: \boxed {\sf { \: Voltage \: = \: Current \: \times \: Resistance \: }} [/tex]
Therefore , by Substituting the given values in the above Formula :-
[tex] \Longrightarrow \: \: \: \sf { Voltage \: = \: Current \: \times \: Resistance } [/tex]
[tex] \Longrightarrow \: \: \: \sf { Voltage \: = \: 15 \: \times \: 20 } [/tex]
[tex] \Longrightarrow \: \: \: \bf { Voltage \: = \: 300 } [/tex]
Hence :-
Voltage of Device = 300 Volt's .[tex] \underline {\rule {180pt}{4pt}} [/tex]
Additional Information :-
[tex] \Longrightarrow \: \: \: \sf {Voltage \: = \: Current \: \times \: Resistance} [/tex]
[tex] \Longrightarrow \: \: \: \sf {Current \: = \: \dfrac {Voltage}{Resistance}} [/tex]
[tex] \Longrightarrow \: \: \: \sf {Resistance \: = \: \dfrac {Voltage}{Current} } [/tex]
Answer:
300 volts
Explanation:
now in this question we have been given our resistance which is 20 ohms and our current which is 15A
using ohm's law
V=IR
where v is voltage, I is current and r is resistance
now substitute,
V=15 x 20
V=300
I hope I helped
Identify the COEFFICIENTS in the expression: 13x + 77 +9y +11
Answer:
13 and 9
Explanation:
Coefficients are numbers that are being multiplied by a variable. In this case, 13 and 9 are being multiplied by x and y, so they are the coefficients. 77 and 11 are constants.
What is the speed of light in quartz (n=1.54)? Will light travel faster or slower through ruby (n = 1.76) than quartz?
Explanation:
V=C/n
Quartz: (3×10^8)/(1.54)=1.948×10^8 m/s
The higher the index of refraction the slower light will travel, so light will be slower in ruby.