Answer:
through b
Explanation:
it will be identical
A transformer for a laptop computer converts a 220-V input to a 10-V output. Write down the equations that show that the primary coil has twenty two times as many turns as the secondary coil.
The transformer operates based on the principle of electromagnetic induction this equation shows that the primary coil has twenty-two times as many turns as the secondary coil.
Let's denote the number of turns in the primary coil as Np and the number of turns in the secondary coil as Ns.
The transformer operates based on the principle of electromagnetic induction, which states that the ratio of the number of turns in the primary coil to the number of turns in the secondary coil is equal to the ratio of the input voltage to the output voltage. Mathematically, this can be expressed as:
Np / Ns = Vin / Vout
In this case, the input voltage (Vin) is 220 V and the output voltage (Vout) is 10 V. Substituting these values into the equation, we get:
Np / Ns = 220 / 10
Simplifying further:
Np / Ns = 22
This equation shows that the primary coil has 22 times as many turns as the secondary coil.
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How far should the center of gravity of the clamp be from the left-hand end of the rod in order for the center of gravity of the composite object to be 1. 30 m from the left-hand end of the rod?.
Using the concepts of centre of mass,we got that 1.525m should the center of gravity of the clamp be from the left-hand end of the rod in order for the center of gravity of the composite object to be 1. 30 m from the left-hand end of the rod.
Let the clamp be at x distance from the left hand end of rod.
Taking left hand as origin , the formula for centre of mass is in x co-ordinates is given by the summation of product of masses and their displacement .
We are given that mass of rod is 1.80Kg and mass of clamp is 2.40kg.
So, applying the formula
x ( cm ) =(m₁ .x ₁+m₂ .x₂)/(m₁+m₂)
We are given that Centre of gravity of the composite object to be 1.30 m
So, we need to find x₁.
After putting the values,
1.30=[(2.4×x₁)+(1.8×1)] / [(2.4+1.8)]
=>1.30×(2.4+1.8)=(2.4×x₁+1.8)
=>1.30×4.2=2.4×x₁+1.8
=>2.4×x₁=1.30×4.2-1.8
=>2.4x₁=5.46-1.8
=> x₁=3.66/2.4
=>x₁=1.525m
Hence, the center of gravity of the clamp be from the left-hand end of the rod in order for the center of gravity of the composite object to be 1. 30 m from the left-hand end of the rod should be far about 1.525m
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(Complete question) is:
A uniform rod is 2.00 m long and has a mass of 1.80 kg. A 2.40-kg clamp is attached to the rod. How far should the center of gravity of the clamp be from the left-hand end of the rod in order for the center of gravity of the composite object to be 1.30 m from the left-hand end of the rod?
What is the speed of a wave that has a wavelength of 0.579 m, an amplitude of 0.733 m, and frequency of 4.00 Hz?0.145 m/s6.91 m/s2.93 m/s2.32 m/s
v(speed) = wavelenght x frequency
v = 0.579 m x 4 hz = 2.32 m/s
Haile's plane travels forward for a few feet and then begins to fall. What would explain the plane's ability to travel forward for a few feet without falling?
Answer:
Aircraft never crash because of one single issue. It's almost always a combination of factors that lead to an accident. Whilst flying is extremely safe, typical reasons why planes crash include pilot error, technical failures, bad weather, terrorism, and pilot fatigue.
Answer The force of the air pushing up on the plane is
equal to the force of gravity pulling down on the
plane.
Question 4 An ambulance with its siren on moves away, at constant velocity, from a person standing next to the road. The person measures a frequency which is 90% of the frequency of the sound emitted by the siren of the ambulance. 4.1 Name the phenomenon observed. 4.2 If the speed of sound in air is 340 m.s¹, calculate the speed of the ambulance.
The phenomenon observed is doppler effect and the speed of the ambulance would be 374 m/s.
Speed calculation using Doppler effectThe Doppler effect equation for sound waves is given by:
f' = f(v ± v₀) / (v ± vᵢ)
Where f is the frequency of the emitted sound wave, f' is the observed frequency, v is the speed of sound in air, v₀ is the velocity of the observer relative to the air, and vᵢ is the velocity of the source relative to the air.
In this case, the person standing next to the road is the observer, and the ambulance is the source. The observed frequency f' is 0.9f, and the speed of sound in air v is 340 m/s.
Substituting these values into the equation, we get:
0.9f = f(v + v₀) / (v - vᵢ)
Simplifying and rearranging, we get:
v₀ = (0.1v + vᵢ)
The ambulance is moving away from the observer, so v₀ is negative. Substituting the known values, we get:
v = 340 m/s
v₀ = -0.1v
v - v₀ = v + 0.1v = 1.1v
Therefore, the velocity of the ambulance is:
vᵢ = v(1 - v₀/v) = v(1 + 0.1) = 1.1v
vᵢ = 1.1(340 m/s) = 374 m/s
So the speed of the ambulance is 374 m/s.
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True or False: The variables in the equation 4x-(5y)2=64x-(5y)2=6 are 4, 5, and 6
Answer:
true
Explanation:
Answer:
true
Explanation:
a force of 20 n is directed at an angle of 609 above the x-avis. a second force of 20 n is directed at an angle of 60 below the x-axis. what is the vector sum of these toro forces?
20 N , in +x direction is the vector sum of these Toro forces.
What is force?The word "force" has a specific meaning in science. At this level, calling a force a push or a pull is entirely appropriate. A force is not something an object "has in it" or that it "contains." One thing experiences a force from another. There are both living things and non-living objects in the concept of a force.Force is used to describe a body's tendency to modify or change its state as a result of an external cause. When force is applied, the body can also alter its size, shape, and direction. kicking a ball, pushing and pulling on the door, or kneading dough are a few examples. The newton, abbreviated N, is the SI unit of force.To learn more about forces from the given link :
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If the wavelength of a wave is quadrupied then what happens to the frequency of the wqve(Assume speed is constant)
Answer:
What happens to the wavelength of a wave if you double the frequency?
If the frequency of a wave is increased, what happens to its wavelength? As the frequency increases, the wavelength decreases. 2. If the frequency is doubled, the wavelength is only half as long.
Explanation:
A bowling ball is dropped off of the side of a building. Ignore the effects of air resistance. As the ball continues to fall freely, the kinetic energy of the ball.
The ball continues to fall, its kinetic energy will increase.
What is kinetic energy?Kinetic energy is the energy an object possesses due to its motion. It is the energy associated with an object’s speed and mass, and is the energy that an object has because of its movement. Kinetic energy can be converted into other forms of energy, such as heat, light, or sound. It can also be used to do work, such as moving objects or powering machines. Kinetic energy is a form of mechanical energy, which is energy that is associated with the motion or position of an object. Kinetic energy is related to the work done on an object, and it increases as the object’s speed increases. Kinetic energy can be calculated using the formula KE = ½mv2, where m is the mass of the object and v is the velocity of the object.
The kinetic energy of the ball will increase as it falls, because it is gaining speed due to gravity.
As it falls, it accelerates at a rate of 9.8 m/s^2, and its kinetic energy is equal to its mass multiplied by the square of its velocity.
Therefore, as the ball continues to fall, its kinetic energy will increase.
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the form of coulomb's law is very similar to that for newton's law of universal gravitation. what are the differences between these two laws? compare also gravitational mass and electric charge.
Coulomb's law and Newton's law of universal gravitation are both fundamental laws of physics that describe the interactions between objects.
What iS Coulomb's Law?
Coulomb's law is a fundamental law of electrostatics that describes the interaction between electric charges. It states that the electrostatic force between two point charges is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.
The mathematical form of Coulomb's law is:
F = kq₁q₂ / r²
Although they are similar in form, there are some key differences between these laws:
Nature of the Force: The most obvious difference is that Coulomb's law describes the electrostatic force between electric charges, while Newton's law of universal gravitation describes the gravitational force between objects with mass.
Magnitude of the Force: The electrostatic force between two charged particles is generally much stronger than the gravitational force between two massive objects. This is because the electric charge has a stronger fundamental force than mass.
Type of Interaction: Electric charges can be either positive or negative, and like charges repel while opposite charges attract. In contrast, all masses attract each other through gravity, with no repulsion.
Inverse-Square Relationship: Both laws have an inverse-square relationship, which means that the force decreases with the square of the distance between the objects. However, the constant of proportionality is different for the two laws, reflecting the differences in the nature of the force.
Gravitational Mass vs Electric Charge: Gravitational mass and electric charge are two different properties of matter. Gravitational mass determines the strength of an object's gravitational attraction to other objects, while electric charge determines the strength of the object's interaction with other charged objects.
Overall, while the forms of Coulomb's law and Newton's law of universal gravitation are similar, the differences between the two laws reflect the fundamentally different nature of the forces and properties they describe.
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the distance between the eyepiece and the objective lens in a certain compound microscope is 24.5 cm. the focal length of the eyepiece is 2.15 cm and that of the objective is 0.405 cm. what is the overall magnification of the microscope?
Overall magnification of the microscope is -70.34
Overall magnification of compound microscope is given by formula
M = - l/f₀ × 25/fₐ where L = distance between the eyepiece and the objective lens,
f₀ and fₐ are focal lengths of objective lens and eyepiece lens respectively.
M = - 24.5/0.405 × 25/2.15
M = -70.34
The microscope, an essential tool in many fields such as biology, geology, and material science, gives researchers fresh viewpoints. The operation and application of microscopes must be understood by several scientists and students. By enlarging a small-scale field of view and zooming in on the world's microscopic processes, microscopes work.
On a microscope, the term "magnification" describes the extent or degree of visual enlargement of an observed item. Multiples, such as 2x, 4x, and 10x, indicate an object has been magnified to a size that is, respectively, twice as big, four times bigger, and ten times bigger.
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please type any energy transformation it will help a lot i would really appreciate it
prize: brainliest
Answer:
in electric lamp
Electric Energy to Heat and Light Energy
Explanation:
Answer:
Ex: an electric fan transforms electric energy to kinetic energy
Or
Chemical energy to heat and light energy
Explanation:
Hope this helps
Date:
Page:
# Excercise.
7.
A very short answer questions.
what is acceleration due to gravity? what is
value of 'g’ on equatorial region and
polar region of the earth?
the
Answer:
See the answer below
Explanation:
Acceleration due to gravity (g) is the accelerational force experienced by a body as a result of the influence of the earth's gravitational force. It is a vector quantity, that is, it has both magnitude and direction.
The acceleration due to gravity is inversely proportional to the square of the radius of the earth. Hence, g at the equatorial region is slightly lesser (9.780 m/s2) than that of the polar regions (9.832 m/s2) of the earth because the earth bulges at the equator leading to a higher radius than at the poles.
which one of the following statements is true concerning a magnifying glass? group of answer choices the object must be placed outside the focal point of the lens. it produces an inverted image. it produces a virtual image. the image distance will be less than the object distance. it can be made from a diverging lens.
The statements is true concerning a magnifying glass is it produces a virtual image.
A virtual image is what exactly?A divergent lens or a convex mirror are used to create a virtual image. Finding a virtual image involves tracking actual rays that leave an optical tool back to their observed or apparent sources. A virtual image cannot be projected onto a screen because the rays never truly converge.
The mirror reflection is the best illustration of a virtual image. Real images are made when rays connect, but virtual images are made when rays diverge. On a screen, real images can be projected but virtual ones cannot. Two opposing lenses, concave and convex, are used to create real images.
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Which test should the golf pro use to determine if titleist pro v1 golf balls travel a longer average distance than callaway chrome soft golf balls?.
Test which should the golf pro use is a)paired t-test for means. So, correct option is a.
A paired t-test is the test performed to check whether the mean of two unique arrangements of perceptions is equivalent or the distinction between them is zero. It is otherwise called a reliant or related t-test. A matched t-test is one of the two sorts of test t-tests which are utilized to look at the normal or mean of two populaces.
The distinction in two examples that might happen while ascertaining the mean is a direct result of the irregular opportunity or testing blunder. The two examples on which the matched t-test is tried is connected by some quality like similar number of individuals or things or conditions. The utilizations of this test are in the exploration areas of science, business and brain research.
Hence, correct option is a.
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(Complete question) is:
A golf pro wants to determine if Titleist Pro V1 golf balls travel farther, on average, than Callaway Chrome Soft golf balls . A robot hits 9 of each ball, selected at random, and the distance traveled is measured. Assume the distances traveled are normally distributed. The average distance traveled by the 9 Titleist Pro V1 golf balls is 261.1 yards with standard deviation 10 yards, and the average distance traveled by the 9 Callaway Chrome Soft golf balls is 249.3 yards with standard deviation 12 yards.
Which test should the golf pro use to determine if Titleist Pro V1 golf balls travel a longer average distance than Callaway Chrome Soft golf balls?
a. paired-t test for means
b. paired-z test for means
c. Ottest for proportions
d. test for means
A particle of mass 5kg is supported by two strings which makes angles 60° and 30° with the horizontal. Determine the tension of each string [take acceleration due to gravity to be 10m/s^2]
Answer: the tension in the first string is 25N and the tension in the second string is 43.3N.
Explanation:
T1
/\
/ \
/ \
/60° \
/ \
/ \
/_________\
O 5kg T2
30°
The present discussion considers the tensions T1 and T2 acting upon two strings, with a particle denoted as "O" possessing a mass of 5kg under scrutiny.
One may employ Newton's second law to calculate the magnitudes of the tensions present in a system, as it states that the overall force acting upon an object is proportional to the product of its mass and acceleration. In this instance, the particle remains at rest as the net force acting upon it is equal to zero. Henceforth, it follows that the equilibrium of tension in every string is contingent upon the equivocation of the weight of the particle along the corresponding string direction.
By means of trigonometry, it is feasible to ascertain the constituents of the particle's weight with respect to each directional axis.
weight = m * g = 5kg * 10m/s^2 = 50N
weight_x = weight * sin(30°) = 25N
weight_y = weight * sin(60°) = 43.3N
Find the horizontal magnitude of a velocity vector of 125 m/s at an angle of 70°.
______ m/s (round to tenths place)
Answer:
please find attached file
Explanation:
A sphere of pure U-235 will explode if it is A) hot enough. B) shaken hard enough. C) big enough. D) none of the above
The correct answer is D) none of the above.
A sphere of pure U-235 will explode if it is none of the above.
A sphere of pure U-235 will not explode simply by being hot enough, shaken hard enough, or big enough. The explosive potential of U-235 is related to its ability to undergo a nuclear chain reaction. For an explosion to occur, a critical mass of U-235 needs to be present, and the conditions for a sustained nuclear chain reaction must be met.
In a nuclear explosion, the critical mass of U-235 is achieved by bringing together enough fissile material within a short period, typically achieved through processes like implosion or gun-type assembly. External factors such as temperature or physical disturbance alone cannot trigger a nuclear explosion in a pure U-235 sphere.
Therefore, the correct option is D) none of the above.
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factorise x^3 - 3x^2 - 9x - 5
Answer:
(x +1), (x -5) and (x +1)
Explanation:
The computation of the factorization is shown below
Data provided in the question
\(X^3 - 3x^2 - 9x - 5\)
Based on the above information, the factors are
Now we have to open these equations in order to get the factors which are as follows
\(= x^3 + x^2 - 4x^2 - 4x - 5x - 5\)
\(= x^2( x + 1) - 4x ( x + 1) - 5(x + 1)\)
\(= (x + 1) (x^2 - 4x - 5)\)
\(= (x + 1)(x^2 -5x + x - 5)\)
So,
= (x + 1) (x - 5) (x + 1)
Therefore the (x +1), (x -5) and (x +1) are the factors of the mention polynomial give in the question
what are the advantages of fusion over fission for electricity generation? what are the advantages of fusion over fission for electricity generation? the products of the reaction are not radioactive. this is a cheap and widespread type of fuel. it provides ten times more energy per gram of fuel than fission reactions. ease of construction of the reactor.
Ongoing research and advancements in fusion technology continue to bring us closer to realizing the potential benefits of fusion for electricity generation.
Advantages of Fusion over Fission for Electricity Generation:
1. Non-Radioactive Waste: One of the significant advantages of fusion reactions is that the products of the reaction are not radioactive. Unlike fission, which produces long-lived radioactive waste that needs to be stored and managed for thousands of years, fusion reactions generate minimal radioactive waste. This reduces the environmental and health risks associated with handling and disposing of radioactive materials.
2. Abundance of Fuel: Fusion reactions utilize isotopes of hydrogen, specifically deuterium and tritium, as fuel. Deuterium can be extracted from seawater, which is a virtually limitless source, and tritium can be bred within the fusion reactor from lithium, which is also abundant. This makes fusion a cheap and widespread type of fuel, ensuring a long-term energy supply.
3. High Energy Output: Fusion reactions release a significantly higher amount of energy per gram of fuel compared to fission reactions. In fact, fusion reactions have the potential to provide about ten times more energy per gram of fuel than fission reactions. This high energy output makes fusion an extremely efficient energy source, allowing for more electricity generation from a smaller amount of fuel.
4. Safety: Fusion reactions inherently have a safer profile compared to fission reactions. Fusion reactors operate at relatively low pressures and temperatures, and the fusion process is self-limiting. If there is any disruption or failure, the reaction naturally stops without a runaway chain reaction or risk of a meltdown. This reduces the potential for accidents and the associated risks.
5. Ease of Reactor Construction: Fusion reactors are easier to construct compared to fission reactors. While there are significant engineering challenges involved, fusion reactors do not require the complex systems for controlling nuclear reactions and dealing with radioactive waste that are necessary for fission reactors. Additionally, fusion reactors do not rely on a critical mass of fuel, simplifying the design and operation of the reactor.
It's important to note that while fusion shows immense promise as a clean, sustainable, and abundant energy source, practical fusion power plants are still under development and face significant technical challenges. However, ongoing research and advancements in fusion technology continue to bring us closer to realizing the potential benefits of fusion for electricity generation.
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An uncharged object becomes charged without direct contact.
What method of charging is occurring?
Answer:
chargeing by induction
Explanation:
this is the answer have a great day
Difference between Pascal’s law and law of flotation
about how long does one day last at the north pole on uranus? one day is defined as the time from sunrise to sunset.
On the north pole, one day for about 17 hours on uranus.
Its call is a reference to the Greek god of the sky, Uranus, who, in step with Greek mythology, was the extremely good grandfather of Ares, grandfather of Zeus, and father of Cronus.
Uranus is the only planet whose equator is sort of at a proper attitude to its orbit, with a tilt of 97.77 degrees – likely the end result of a collision with an Earth-sized item lengthy in the past.
The blue-inexperienced color effects from the absorption of crimson light by way of methane gas in Uranus' deep, cold, and remarkably clean surroundings.
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Using the image below, figure out the kinetic energy of each vehicle. Formula, Ke=1/2mxv^2
The kinetic energy of the truck is approximately 1,964,180 Joules. The kinetic energy of the car is approximately 250,003 Joules.
How to determine kinetic energy?To calculate the kinetic energy of each vehicle, use the formula:
Kinetic Energy (KE) = 1/2 × mass × velocity²
Given the mass and velocity of each vehicle, plug in the values and calculate the kinetic energy.
For the truck:
Mass = 6,000 kg
Velocity = 92 km/h
= 92,000 m/3600 s
≈ 25.56 m/s
Using the formula:
KE = 1/2 × 6,000 kg × (25.56 m/s)²
Calculating the result:
KE = 1/2 × 6,000 kg × 655.3936 m²/s²
KE ≈ 1,964,180 Joules
Therefore, the kinetic energy of the truck is approximately 1,964,180 Joules.
For the car:
Mass = 1,200 kg
Velocity = 100 km/h
= 100,000 m/3600 s
≈ 27.78 m/s
Using the formula:
KE = 1/2 × 1,200 kg × (27.78 m/s)²
Calculating the result:
KE = 1/2 × 1,200 kg × 771.6884 m²/s²
KE ≈ 250,003 Joules
Therefore, the kinetic energy of the car is approximately 250,003 Joules.
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Jupiter takes 9.9259 hours to rotate on its axis and has a tangential speed of 12,293 m/s. What is the radius of Jupiter? 7,781.6 km 19,420 km 48,893 km 69,912 km
The radius of Jupiter is 11.37 × 10^6 km (approx).
The correct answer to the given question is option D.
Jupiter is a giant planet in our solar system and takes 9.9259 hours to rotate on its axis. The tangential speed of Jupiter is given to be 12,293 m/s. We are required to find out the radius of Jupiter.
Given Data:
Rotation period of Jupiter, T = 9.9259 hours
Tangential speed of Jupiter, v = 12,293 m/s
Formula Used:
Radius of Jupiter, r = v × T / (2π)
Calculation:
We can find the radius of Jupiter using the above formula.
Substituting the given values in the formula, we get:
r = 12,293 × 9.9259 × 60 × 60 / (2π)r = 71,492,602.68 / (2π)r = 11,371,641.26 km ≈ 11.37 × 10^6 km.
Therefore, the radius of Jupiter is 11.37 × 10^6 km (approx).
Hence, the correct option is 69,912 km.
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A 1200-kg car moving at suddenly collides with a stationary car of mass if the two vehicles lock together, what is their combined velocity immediately after the collision?.
To determine the combined velocity of the two vehicles immediately after the collision, we need to find the momentum of each vehicle before the collision and the total momentum after the collision.
The momentum of the first car before collision = mass x velocity = 1200 kg x v₂
The momentum of the second car before collision = mass x velocity = m₂ x 0 (because it is stationary)
Total momentum before collision = momentum of first car + momentum of second car = 1200 kg x v₁
After the collision, the two vehicles lock together and form a combined mass of (1200 kg) + (m₂) = 1200 + m₂ kg
Combined velocity after collision = total momentum / combined mass = (1200 kg x v₁) / (1200 + m₂ kg)
Unfortunately, the velocity of the first car (v₁) is not given in the problem. Therefore, it is not possible to determine the combined velocity of the vehicles immediately after the collision without more data.
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Two protons enter a region of the transverse magnetic field. What will be the ratio of the time period of revolution if the ratio of energy is 2√2 : √3 ?
Given:
ratio of energy is 2√2 : √3
Apply:
\(T=2\pi\sqrt[\frac{}{}]{\frac{mr}{qBv}}\)Where:
q = charge of proton
v= speed of proton
r= radius of circular path
T= time period of revolution
Kinetic energy (K)
K= 1/2mv^2
From both equations:
Tα1/k
K1:K2 = 2√2 : √3
T1:T2 = √3:2√2
Answer: √3:2√2
Calculate the acceleration of a mobile that at 4s is 32m from the origin, knowing that its initial speed is 10m / s.
Answer:
5.5 m/s^2
Explanation:
I believe this is the answer > using the formula a= v-v0/t
Hope this helps!
Answer:
-1 m/s²
Explanation:
Given:
Δx = 32 m
v₀ = 10 m/s
t = 4 s
Find: a
Δx = v₀ t + ½ at²
32 m = (10 m/s) (4 s) + ½ a (4 s)²
a = -1 m/s²
If a 6kg bird is pushed by the wind with a force of 10 N. how fast does the bird
accelerate?
Answer:
a=1.667 m\(s^{-2}\)
Explanation:
F=ma, here force is given as 10N and mass of bird is 6kg, so using the formula acceleration can be calculated as follows
∴ F=ma
1N= 1 kg m\(s^{-2}\)
\(a=\frac{F}{m}\)
\(a=\frac{10 kg ms^{-2} }{6 kg}\)
∴ a= 1.667 m\(s^{-2}\)
a force of 15 Newton stretches a spring to a total length of 30 cm and additional force of 10 Newton's stretches to Spring of 5 cm find the natural length of the spring
A force of 15 Newton stretches a spring to a total length of 30 cm and an additional force of 10 Newton's stretches to a Spring of 5 cm, the natural length of the spring is 58.5 cm
To find the natural length of the spring, we can use Hooke's law, which states that the force applied to a spring is directly proportional to the displacement of the spring from its natural length.
Let's denote the natural length of the spring as L.
According to the problem, a force of 15 Newton stretches the spring to a total length of 30 cm. This means that the displacement of the spring is 30 cm - L.
Using Hooke's law, we can set up the following equation:
Force = k * Displacement
where k is the spring constant.
For the first scenario, we have:
15 N = k * (30 cm - L)
Next, we are given that an additional force of 10 Newton's stretches the spring to a length of 5 cm. This implies that the displacement of the spring is 5 cm - L.
Using Hooke's law again, we can set up the following equation:
10 N = k * (5 cm - L)
Now we have two equations:
15 N = k * (30 cm - L)
10 N = k * (5 cm - L)
We can solve this system of equations to find the value of L, the natural length of the spring.
By dividing the second equation by 10, we get:
1 N = k * (0.5 cm - 0.1L)
Rearranging the equation, we have:
1 N = 0.5 k - 0.1kL
Now, let's substitute the value of k from the first equation into this equation:
1 N = 0.5 (15 N / (30 cm - L)) - 0.1 (15 N / (30 cm - L)) * L
Simplifying the equation, we get:
1 = 0.75 / (30 cm - L) - 1.5L / (30 cm - L)
Combining the terms on the right side of the equation, we have:
1 = (0.75 - 1.5L) / (30 cm - L)
Cross-multiplying, we get:
30 cm - L = 0.75 - 1.5L
Simplifying the equation, we have:
L - 1.5L = 0.75 - 30 cm
Combining like terms, we get:
-0.5L = -29.25 cm
Dividing both sides of the equation by -0.5, we get:
L = 58.5 cm
Therefore, the natural length of the spring is 58.5 cm.
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