The law of conservation of energy and Newton's laws are proved
What are Newton's laws of motion?First Law : Unless a force acts upon a body, it stays at rest or in continual straight-line motion.
Second Law : The rate of change of motion of an object is proportional to the force applied and the object will move in the direction of the straight line in which the force is applied.
Third Law : When two bodies exert force on one another, the direction and amount of the force are opposed.
Given data ,
The law of conservation of energy states that it can neither be created nor be destroyed.
Energy, which is observable in the execution of labor as well as in the form of heat and light, is the quantitative quality that is transmitted to a body or to a physical system in physics. Energy is a preserved resource; according to the rule of conservation of energy, energy can only be transformed from one form to another and cannot be generated or destroyed.
Newton's laws of motion are
First Law : Unless a force acts upon a body, it stays at rest or in continual straight-line motion.
Second Law : The rate of change of motion of an object is proportional to the force applied and the object will move in the direction of the straight line in which the force is applied.
Third Law : When two bodies exert force on one another, the direction and amount of the force are opposed.
Hence , the newton's laws are proved
To learn more about newton's laws click :
https://brainly.com/question/27573481
#SPJ1
Child sleds down a 8.5 slope at constant speed. What's the friction coefficient between slope and sled?
The sled's runners experience kinetic frictional force from the snow, which causes the sled to slow down and eventually stop. The amount of kinetic friction is 0.050.
What is friction, and what are some examples?Writing - When writing, the pen's tip comes into touch with the paper, causing rolling friction for ballpoint pens or sliding friction for pencils. During skating.
What force does friction represent?The force that opposes motion when the surfaces of two objects come into contact is known as friction. Friction lessens a machine's mechanical advantage, or, to put it another way, reduces the output to input ratio.
To know more about Friction visit:
https://brainly.com/question/13000653
#SPJ4
The ventricles begin to fill during ventricular diastole.TrueFalseMost ventricular filling happens passively while the atrioventricular valves remain open in between ventricular contractions, a time known as ventricular diastole.
When venous blood enters the left atrium during ventricular Diastole and the left atrial pressure exceeds the left ventricular pressure, the mitral valve opens and passive filling of the ventricle occurs. That's true.
Diastole begins with the closure of the aortic (or pulmonary) valve and ends with the closure of the mitral (or tricuspid) valve. This period includes relaxation and filling of the ventricles. Diastole is when the blood vessels return blood to the heart in preparation for the next ventricular contraction. The cardiac cycle begins with relaxation of the atria and ventricles. During diastole, blood flowing from the central veins fills the atria, partially fills the ventricles, and flows through the venous sinuses, the sinoatrial (SA) duct, and the atrioventricular (AV) duct.
Learn more about Diastole
brainly.com/question/902007
#SPJ4
True. The ventricles of the heart are the two lower chambers responsible for pumping blood to the body and lungs.
During ventricular diastole, the ventricles relax and begin to fill with blood. Most of the filling happens passively while the atrioventricular valves (the mitral valve on the left side and the tricuspid valve on the right side) remain open, allowing blood to flow from the atria into the ventricles. This phase of the cardiac cycle is important for the efficient filling of the ventricles, which helps to ensure an adequate volume of blood is available to be pumped out during the subsequent contraction (systole).
Learn more about ventricle here: brainly.com/question/29564818
#SPJ4
a 1500 kg car rounds a curve on a flat road which has a radius of 25 meters and a coefficient of friction of 0.7. How fast can the car travel around the corner without sliding?
At a top speed of roughly 16.4 m/s, the automobile can navigate the bend without slipping.
How is corner speed determined?The corner speed is the product of the stall speed times the square root of the limiting maximum G loading of the airplane in a certain configuration. Simple. You may find the fuel weight range based on the range of stall speeds using the equation, among other things.
The centripetal force determines the fastest speed at which an automobile can round a curve without sliding,
F_c = m × a_c
The centripetal acceleration is given by:
a_c = v² / r
where v is the velocity of the car and r is the radius of the curve.
F_friction = friction coefficient * F_norm
F_friction = F_c
friction coefficient × F_norm = m × v² / r
v² = r × friction coefficient × g
v = sqrt(r × friction coefficient × g)
v = sqrt(25 m 0.7 × 9.81 m/s²) ≈ 16.4 m/s.
To know more about speed visit:-
https://brainly.com/question/28224010
#SPJ1
magnetic field lines are closest together in areas where
Magnetic field lines are closest together in areas where the magnetic field is strongest. Magnetic field lines represent the direction of the magnetic force and the closer the lines are together, the stronger the magnetic field.
What are magnetic field lines?
In a magnetic field, the direction of the magnetic force experienced by a moving charged particle is perpendicular to both the direction of motion of the particle and the direction of the magnetic field. The magnetic field lines provide a visual representation of the direction of the magnetic force at any given point in space, and the closer the lines are together, the stronger the magnetic field and the greater the force experienced by a moving charged particle.
It is important to note that magnetic field lines never intersect, as the magnetic force at a given point in space has a unique direction. The number of magnetic field lines passing through a given area is proportional to the strength of the magnetic field in that area.
To know more about magnetic field ,visit:
brainly.com/question/14411049
#SPJ4
A car can accelerate from rest to a speed of 28 m/s in 20 s. What is the average acceleration of the car
The acceleration is 1.4 m/s^2
What is acceleration?Acceleration is the rate at which an object's velocity changes over time. In other words, it is the change in velocity per unit time.
We call this;
a = v - u/t
a = 28 - 0/20
a = 1.4 m/s^2
Acceleration can be positive, negative or zero. A positive acceleration means the velocity of an object is increasing, a negative acceleration means the velocity of an object is decreasing and zero acceleration means the velocity of an object is constant (not changing). The unit of acceleration is meters per second squared (m/s^2).
Learn more about acceleration:https://brainly.com/question/12550364
#SPJ1
PLEASE HELP!!
A pendulum swings back and forth 24 times in 8 seconds. What is its period? What is its frequency? Make sure to include your work and units on your answers.
The time period is 0.3 s and frequency is 3 Hz
Step 1 :
Given:
No. of cycles N = 24
Total time take t = 8 s
Step 1 : Calculating the frequency:
The frequency of a wave or oscillation is defined as the number of cycles or completed alternations per unit time.
f = N/t
f = 24/8
f = 3 Hz
Step 2: Calculating the time period:
Frequency and time period are inversely proportional.
The amount of time it takes for something to complete one oscillation is called its time period.
Time period = 1/Frequency
Time period = 1/3 = 0.3 s
So, the time period is 0.3 s and frequency is 3 Hz.
Learn more about Frequency here:
https://brainly.com/question/254161
#SPJ1
In which device do astronomers take advantage of chromatic aberration?
a. the prism b. the primary mirrors of reflecting telescopes
c. the primary lenses of reflecting telescopes
d. both b and c above e. all of the above
Astronomers take advantage of chromatic aberration in the prism. Therefore, the correct answer is option (a) the prism.
A prism is a triangular piece of glass or plastic that can split white light into its constituent colors by refracting the light at different angles as it passes through the prism. This effect is due to the different refractive indices of the prism material for different wavelengths of light, which causes the colors to separate.
Chromatic aberration is actually a type of distortion that can occur in lenses and mirrors, where different wavelengths of light are focused at different distances from the lens or mirror, resulting in color fringing around objects. However, astronomers typically try to minimize chromatic aberration in the lenses and mirrors of telescopes in order to achieve sharper and more accurate images.
Learn more about wavelengths of light here brainly.com/question/27557868
#SPJ4
Look at page three of the USGS recycling data. What percent of your mineral was recycled in the United States in the most recent year? Does that number seem to be increasing, decreasing, or staying about the same?
The percent of minerals recycled in the United States in the most recent year (2018) was 2.3%. This number appears to be staying about the same over the past few years, with a slight increase from 2.2% in 2017 to 2.3% in 2018.
What is Recycle?Recycling is the process of taking used, unwanted or discarded materials and transforming them into new products. It helps to reduce waste and conserve natural resources. Recycling can include the reuse of materials such as glass, paper, plastic, steel, aluminum, and other metals. By recycling, we can reduce the amount of waste that goes into landfills and help protect our environment.
To know more about Recycle
https://brainly.com/question/376227
#SPJ1
How many Mikrometer are in a Millimeter ?
A millimeter (mm) is made up of 1,000 micrometers (µm). That is, one millimeter equals 1,000 micrometers or [tex]10^{-3}[/tex] meters.
Micrometers are typically used to measure very tiny distances, notably in microscopy, whereas millimeters are commonly used to measure greater distances, such as an object's length or breadth.
It is crucial to note that the micrometer is also known as a micron, therefore the conversion may be represented as 1,000 microns in a millimeter at times. Regardless matter whether you use micrometers or microns, the conversion is the same: a millimeter has 1,000 of them.
Learn more about Micrometers and Millimeters at
https://brainly.com/question/15168348
#SPJ4
What is the average force of gravitation between Pluto and the Sun?
Answer:
5.3 x 10^13 N.
Explanation:
The force of gravity between two objects can be calculated using the equation:
F = G * (m1 * m2) / d^2
where F is the force of gravity, G is the gravitational constant (6.67 x 10^-11 N m^2/kg^2), m1 and m2 are the masses of the two objects, and d is the distance between their centers.
To calculate the average force of gravity between Pluto and the Sun, we need to know their masses and the average distance between them.
Pluto has a mass of approximately 1.309 x 10^22 kg, and the average distance between Pluto and the Sun is about 5.9 x 10^9 m.
Plugging these values into the equation, we get:
F = 6.67 x 10^-11 N m^2/kg^2 * (1.309 x 10^22 kg * 1.989 x 10^30 kg) / (5.9 x 10^9 m)^2
F = 5.3 x 10^13 N
So the average force of gravity between Pluto and the Sun is approximately 5.3 x 10^13 N.
The frictional force of air against a moving object. Causes object to slow down.
The frictional force of air against a moving object causes object to slow down is true.
What is frictional force?Frictional force is the force created when two surfaces come into contact as well as slide against each other. These forces are mostly influenced by the surface roughness and the amount of force required when they are combined. The amount of frictional force is affected by the angle and location of the item.
The forces of attraction, defined as adhesion, between both the points of contact areas of the surfaces, that are frequently minutely uneven, are the primary cause of friction between objects. The frictional force of air against a moving object causes object to slow down is true.
Therefore, the frictional force of air against a moving object causes object to slow down is true.
To learn more about frictional force, here:
https://brainly.com/question/19180015
#SPJ9
How are fireworks effects made?
Fireworks effects are made by combining various chemical compounds and powders in specific configurations to produce a wide range of colors, shapes, and patterns.
The specific ingredients and configurations used can vary depending on the desired effect, but some common techniques and ingredients used in making fireworks include:
Color production: Different metal salts are used to produce specific colors when they burn. For example, strontium produces red, copper produces blue, and barium produces green.
Sparkling effects: Aluminum or magnesium powder can be added to create sparkling or glittering effects.
Whistling or popping effects: Salts such as potassium benzoate or potassium oxalate can be used to create whistling or popping sounds.
Smoke effects: Chemicals such as titanium dioxide or zinc oxide can be used to produce smoke or haze effects.
Shaped charges: Fireworks can be shaped in various configurations to produce specific shapes or patterns, such as stars, flowers, or hearts.
To create a specific effect, the different chemicals and powders are carefully combined and packed into the firework's shell. The shell is then ignited, which ignites the chemicals inside and produces the desired effect.
Fireworks displays often involve a combination of different effects and colors, which are choreographed to music or other audio cues. The result is a dazzling and dynamic visual spectacle that is enjoyed by millions of people around the world for various celebrations and events.
For such more questions on Chemical Compounds
https://brainly.com/question/1194814
#SPJ4
An astronaut who fell into a black hole would be stretched because
a. the gravity is so strong.
b. the gravity changes dramatically over a short distance.
c. time is slower near the event horizon.
d. black holes rotate rapidly, dragging spacetime with them.
The correct answer is a. An astronaut who falls into a black hole would be stretched because the gravity near a black hole is incredibly strong. This is due to the enormous mass of the black hole, which creates a gravitational force so powerful that it warps the fabric of space and time.
As the astronaut approaches the event horizon, the difference in gravitational force between their head and feet becomes so great that it stretches their body apart, a process known as "spaghettification." This occurs because gravity is much stronger at the black hole's event horizon than it is further away from the black hole.
The gravitational force changes dramatically over a short distance, causing the astronaut's body to stretch like spaghetti. While time does indeed slow down near the event horizon of a black hole, it is not the reason why the astronaut would be stretched.
To learn more about gravitational force, visit here
https://brainly.com/question/12528243
#SPJ4
Using Models The moon in its orbit around
Earth behaves like a ball at the end of a string
being swung above your head. Explain the
forces involved.
Answer: A gravitational pull is keeping the ball in place and not letting it go flying into the air. so simple answer is gravity
the EROI system of evaluating energy exploitation from various sources is based upon the ratio of energy___ to energy ___ in the extraction process
The EROI system of evaluating energy exploitation from various sources is based upon the ratio of energy output to energy input in the extraction process
The EROI system evaluates the efficiency of energy exploitation by comparing the amount of energy obtained from a given source to the amount of energy required to extract it. In mathematical terms, the EROI ratio can be expressed as follows:
EROI = Energy output / Energy input
The energy output refers to the amount of energy obtained from a particular source, such as oil or wind.
The higher the EROI ratio, the more efficient the energy source is, as it means that more energy is being produced for every unit of energy input.
In conclusion, the Energy Return on Investment (EROI) system provides a useful tool for evaluating the efficiency of different energy sources by comparing the amount of energy obtained to the amount of energy required to extract it.
To know more about energy here
https://brainly.com/question/1932868
#SPJ4
Mutations occur at a rate of 1 per 1010 base pairs per generation. S. aureus has 2.8 x 106 base pairs in its genome. Therefore, approximately 0.0028 mutations will occur per cell in the population.
The number of mutations that will occur in the S.aureus population in foot wounds is 0.0336.
The natural habitat of S. aureus in humans is in the area of the skin, nose, mouth, and large intestine, where under normal immune system conditions, S. aureus is not pathogenic (normal human microflora).
Bacterial genes can mutate quickly. These mutations can make bacteria reproduce faster, become stronger, and kill. The mutation can also be accelerated by the excessive use of antibiotics. As a result, bacteria also become more resistant to antibiotics.
Generations are produced in 12 hours:
12*60/30 = 24 generations.
Mutations in 1 generation are 0.0028.
Then the mutation after 12 hours is 12* 0.0028 = 0.0336
Your question is incomplete but most probably your full question was:
Staphylococcus aureus is a bacterium that can cause infections in broken skin. A single S. aureus cell gets into a wound on someone's foot. An S. aureus cell divides by binary fission approximately every 30 minutes. S. aureus has 2.8 x 106 base pairs in its genome. Mutations occur at a rate of 1 per 1010 base pairs per generation. Therefore, approximately 0.0028 mutations will occur per cell in the population. At the end of 12 hours, how many mutations will be present in the population of S. aureus in the wound on the foot?
Learn more about mutations on bacteria at https://brainly.com/question/3155547
#SPJ4
What is the work kinetic energy theorem formula?
The network executed on a particle equals the trade inside the particle's kinetic electricity: W internet = k B − k A.
Kinetic electricity is a form of energy that an object possesses by using distinctive features of its motion. It is defined as the energy that an object possesses due to its motion, and it is dependent on both the object's mass and velocity. The formula for kinetic energy is KE = 1/2mv^2, where m is the mass of the object and v is its velocity.
When an object is in motion, it has kinetic energy that can be transferred to other objects or converted into other forms of energy, such as potential energy or heat. For example, a moving car has kinetic energy that can be converted into potential energy as it climbs a hill, or into heat energy as its brakes are applied.
To learn more about Kinetic Energy visit here:
brainly.com/question/26472013
#SPJ4
A strip of glass with pieces of paper stuck to it.
The glass is attracting the pieces of paper. What does this tell you about the charges on the glass and the paper?
Answer:
the glass and paper have diffrent charges
Explanation:
if the glass is charged positively then the paper was charged negatively
the to charges were to attract think of it as a magnet
a system containing 1 atm of an ideal gas is doubled in temperature and halved in volume. what is the new pressure?a.2 atm
b.1 atm
c.0.5 atm
d.4 atm
The new pressure is 4 atm.
What is pressure?Pressure is the amount of force applied over a given area it is typically measured in unit of Pascal's PA or pounds per square in each PSI pressure can be caused by a variety of factors including the weight of the atmosphere the weight of liquid and the weight of objects is that is important in many physical phenomena including the flow of liquids the transfer of energy and the propagation of sound in general when pressure is increase the volume of the material decrease.
The ideal gas law states that the pressure of an ideal gas is directly proportional to its temperature and inversely proportional to its volume. Thus, when the temperature is doubled and the volume is halved, the pressure is quadruple. Therefore, the new pressure is 4 atm.
To know more about pressure click-
https://brainly.com/question/28012687
#SPJ4
What will happen to the molecules over time?
Over time, the molecules will undergo various processes, such as diffusion, collision, and chemical reactions. These processes can cause the molecules to change their physical and chemical properties, as well as their spatial arrangement.
For example, diffusion can cause molecules to spread out and move from areas of high concentration to areas of low concentration. Collision can cause molecules to bounce off each other and change their direction of movement. Chemical reactions can cause molecules to form new substances with different properties.
Overall, the behavior of molecules over time is determined by the laws of physics and chemistry, and can be observed and studied using various experimental techniques.
To learn more about molecules refer here:
https://brainly.com/question/19922822#
#SPJ11
what type of electromagnetic wave is involved in communication?
a. Radio wave
b. infrared waves
c. ultraviolet waves
d. gamma rays
The type of electromagnetic wave that is primarily used in communication is radio waves, which have frequencies between about 3 kHz and 300 GHz.
Radio waves are used for various forms of communication, including radio and television broadcasting, cell phone and Wi-Fi communication, and satellite communication. They are preferred for communication because they can travel long distances through the atmosphere and can penetrate walls and other obstacles without significant attenuation. Infrared waves are also used in communication, primarily for short-range wireless communication such as in remote controls and some wireless headphones, but they have limited range compared to radio waves. Ultraviolet waves and gamma rays are not used for communication purposes as they have very high frequencies and can be harmful to living organisms.
To learn more about electromagnetic wave here:
https://brainly.com/question/3101711
#SPJ4
A constant force is exerted on a cart (initially at rest) on an air track. Neglect friction. The force acts for a short time and gives the cart a certain final speed. To reach the same final speed with a force that is only half as big, the force must be exerted on the cart for a time interval ________the stronger force.
A constant force is exerted on a cart (initially at rest) on an air track. Neglect friction. The force acts for a short time and gives the cart a certain final speed. To reach the same final speed with a force that is only half as big, the force must be exerted on the cart for a time interval twice as long as the time interval for the stronger force.
Assuming that the force acts in the same direction as the motion of the cart, we can use the impulse-momentum theorem to relate the force, the time interval it acts for, and the resulting change in momentum of the cart.
To Know more about momentum, here
https://brainly.com/question/20301772
#SPJ4
a car is being pushed 5 M with 15 N of force in 12 S
Answer:
To find the work done on the car, we can use the formula:
work = force x distance x cos(theta)
where force is the applied force, distance is the displacement, and theta is the angle between the force and displacement vectors (assuming the force is applied in the same direction as the displacement, theta is 0 and cos(theta) is 1).
In this case, the force is 15 N, the distance is 5 m, and theta is 0, so we can plug in the values and get:
work = 15 N x 5 m x 1
work = 75 J
Therefore, the work done on the car is 75 joules
Based on what you learned about light, select all of the correct statements from the following list.A)Light can act both as a wave and a particle.B)High frequency photons carry more energy than long wavelength photons.C)All electromagnetic waves travel at the speed of light.D)A photon is a particle of light.
"The correct statements from the following list regarding light are: Light can act both as a wave and a particle. High frequency photons carry more energy than long wavelength photons. All electromagnetic waves travel at the speed of light. A photon is a particle of light." Correct options are A, B, C, D.
Light shows both a particle and a wave characteristic depending on the position, according to the quantum mechanical wave-particle duality hypothesis. Diffraction, polarisation, and interference can be explained if the light is seen as a wave.
A photon's energy rises as its frequency does. In other words, as the wavelength increases, a photon loses energy. Any energy unit can be used to express photon energy.
We say that light travels in waves, and all electromagnetic radiation travels at the same speed which is about 3 × 10⁸ meters per second through a vacuum.
To know more about light:
https://brainly.com/question/30651536
#SPJ4
A ladder rests against a vertical wall. There
is no friction between the wall and the ladder.
The coefficient of static friction between the
ladder and the ground is µ = 0.464 .
(USE THE PICTURE TO DETERMINE THE ANSWER)
Identify the set of equations which is correct.
ANSWER CHOICES:
1. A1, B2, C3
2. A2, B2, C1
3. A1, B1, C1
4. A1, B2, C2
5. A1, B1, C2
6. A2, B1, C3
7. A2, B1, C2
8. A1, B2, C1
9. A1, B1, C3
10. A2, B1, C1
PART TWO
Determine the smallest angle θ for which the
ladder remains stationary.
Answer in units of â¦
The correct answer is option 4: A1, B2, C2
What is the force of friction in this question?A1: The force of friction acting on the ladder is given by:
f_friction = µ * N
where µ is the coefficient of static friction and N is the normal force acting on the ladder, which is equal to the gravitational force acting on the ladder.
B2: The gravitational force acting on the ladder can be expressed as:
f_gravity = m * g
where m is the mass of the ladder and g is the acceleration due to gravity.
C2: The component of the gravitational force acting parallel to the wall can be expressed as:
f_parallel = f_gravity * sin(θ)
where θ is the angle between the ladder and the wall.
The ladder will remain stationary as long as the force of friction acting on it is equal to or greater than the component of the gravitational force acting parallel to the wall. Setting these two forces equal to each other, we get:
f_friction = f_parallel
µ * N = m * g * sin(θ)
The smallest angle θ for which the ladder remains stationary is given by:
sin(θ) = µ * N / (m * g)
θ = sin^-1 (µ * N / (m * g))
Note that the value of µ * N / (m * g) must be less than or equal to 1 for the ladder to remain stationary.
To know more about force of friction , visit:
https://brainly.com/question/24386803
#SPJ4
Vision is blurred if the head is vibrated at 29 {\rm Hz} because the vibrations are resonant with the natural frequency of the eyeball held by the musculature in its socket. If the mass of the eyeball is 7.5 {\rm g}, a typical value, what is the effective spring constant of the musculature attached to the eyeball? (2 sig figs in N/m)
This equation assumes that the eyeball is a simple harmonic oscillator and that the musculature acts as a linear spring. The frequency of the vibration (f) is equal to the natural frequency of the eyeball's oscillation and the mass (m) is the mass of the eyeball.
What is the frequency ?The frequency is the rate or number of occurrences of a particular event or phenomenon with respect to its occurrence within a given period of time. It is typically measured in cycles per second (hertz), or the number of times an event occurs in a given period of time. Frequency can also refer to the rate at which something is repeated, such as the number of times a sound is repeated in a given span of time. Frequency can also refer to the number of times a certain action is performed, such as the number of times a person visits a store in a given month.
The effective spring constant of the musculature attached to the eyeball is equal to the frequency squared (f^2) multiplied by the mass (m) divided by 4pi^2:
k = f^2 m / 4pi^2
k = (29 Hz)^2 (7.5 g) / (4(3.14)^2)
k = 0.395 N/m (2 sig figs)
To learn more about frequency
https://brainly.com/question/30466268
#SPJ4
Equation [tex]\\k = 0.395 N/m (2 sig figs)[/tex] assumes that the eyeball is a simple harmonic oscillator and that the musculature acts as a linear spring.
The frequency of the vibration (f) is equal to the natural frequency of the eyeball's oscillation and the mass (m) is the mass of the eyeball.
What is the frequency ?The frequency is the rate or number of occurrences of a particular event or phenomenon with respect to its occurrence within a given period of time. It is typically measured in cycles per second (hertz), or the number of times an event occurs in a given period of time. Frequency can also refer to the rate at which something is repeated, such as the number of times a sound is repeated in a given span of time. Frequency can also refer to the number of times a certain action is performed, such as the number of times a person visits a store in a given month.
The effective spring constant of the musculature attached to the eyeball is equal to the frequency squared (f^2) multiplied by the mass (m) divided by 4pi^2:
[tex]k = f^2 m / 4\pi^2\\k = (29 Hz)^2 (7.5 g) / (4(3.14)^2)\\k = 0.395 N/m (2 sig figs)[/tex]
To learn more about frequency
brainly.com/question/30466268
#SPJ4
A 25 foot ladder is set against the side of a house so that it reaches up 15 feet. If damian grabs the ladder at its base and pulls it 3 feet farther from the house, how far up the side of the house will the ladder reach now?.
A 25-foot ladder is set against the side of a house so that it reaches up to 15 feet. If Damian grabs the ladder at its base and pulls it 3 feet farther from the house, the distance from the side of the house to which the ladder reaches now is 9.8m.
The total length of the ladder is 25m. The distance the ladder is set up against the side of the house is 15m.
According to the image, apply Pythagoras' theorem, we get,
(25)² = (15)²+(a)²
a²=(25)²-(15)²
a²=625-225 =400
a=[tex]\sqrt{400}[/tex]
a= 20m.
Now, if Damian grabs the ladder at its base and pulls it 3 feet farther from the house, so the total base is (20+3) = 23m.
Applying Pythagoras' theorem again, we get
(25)² = (23)²+(a)²
a²=(25)²-(23)²
a²=625-529 =96
a=[tex]\sqrt{96}[/tex]
a= 9.8m.
The length to which the ladder reaches now is 9.8m.
For further learning about Pythagoras' theorem, refer to the link: https://brainly.com/question/21926466
#SPJ4
(a) Which one of the following properties most fundamentally distinguishes mechanical waves from electromagnetic waves? 0 Mechanical waves have crests and troughs. Mechanical waves require a medium for propagation. O Mechanical waves have well-defined wavelengths. © Mechanical waves move at a finite speed.
Option b. Mechanical waves require a medium for propagation. The most fundamental difference between mechanical waves and electromagnetic waves is that mechanical waves require a medium to propagate, whereas electromagnetic waves do not.
Mechanical waves, such as sound waves and water waves, require a material medium, such as air or water, to travel through. In contrast, electromagnetic waves, such as light and radio waves, can travel through a vacuum. While mechanical waves do have properties like crests and troughs, well-defined wavelengths, and finite speeds, these are not the most fundamental differences between the two types of waves. The requirement for a medium is what fundamentally distinguishes mechanical waves from electromagnetic waves.
Learn more about Mechanical waves here: brainly.com/question/24459019
#SPJ4
Complete question:
Which one of the following properties most fundamentally distinguishes mechanical waves from electromagnetic waves?
a. Mechanical waves have crests and troughs.
b. Mechanical waves require a medium for propagation.
c. Mechanical waves have well-defined wavelengths.
d. Mechanical waves move at a finite speed.
A ferris wheel starts at rest and builds up to a final angular speed of 0. 80 rad/s while rotating through an angular displacement of 2. 5 rad. What is its average angular acceleration?.
The average angular acceleration of the ferris wheel is 0.32 rad/s2.
What is accelaration?Acceleration is the rate it which an object increases its speed velocity or rate of change it is the rate of change of velocity of a time or the rate of change of the position of an object acceleration can be either positive when the speed of an objective increasing or negative in the speed of the object is decreasing.
The average angular acceleration of the ferris wheel can be calculated using the equation:
α = Δω / Δθ
where α is the angular acceleration, Δω is the change in angular speed, and Δθ is the change in angular displacement.
Therefore, the angular acceleration of the ferris wheel is:
α = (0.80 rad/s - 0)/(2.5 rad)
α = 0.32 rad/s2
Therefore, the average angular acceleration of the ferris wheel is 0.32 rad/s2.
To know more about acceleration click-
https://brainly.com/question/605631
#SPJ4
A light wave has a 670 nm wavelength in air. Its wavelength in a transparent solid is 420 nm.
The speed of light in the solid is 1.88 × 10⁸m/s
What are the light's wavelength and frequency?
The distance between equivalent places in two consecutive light cycles is known as the wavelength of light, and the frequency of light is the number of light cycles that pass a specific spot in a second.
The ratio of the speed of light in a vacuum to that in a second medium with a higher density is used to compute the refractive index (also known as the index of refraction). If the solid's wavelength is 420/670, or 0.627 times that of air, then the solid's light speed is also 0.627 times that of air. Bonus: The reciprocal of speed is proportional to refractive index. Given that the refractive index of air is 1, the clear solid's refractive index is 670/420, or 1.60.
The refractive index of a material is,
[tex]n = \dfrac{\lambda_v}{\lambda_m}[/tex]
[tex]n = \dfrac{670 }{420 }[/tex]
n = 1.59
Now,
The speed of light in the solid is,
[tex]\mathrm{v = \dfrac{c}{n} }[/tex]
Here, c is speed of light = 3 × 10⁸ m/s
So,
[tex]\mathrm{v = \dfrac{3 \times 10^8}{1.59} }[/tex]
v = 1.88 × 10⁸ m/s
Thus, The speed of light in the solid is 1.88 × 10⁸m/s
To learn more about refractive index use link below:
https://brainly.com/question/14760207
#SPJ4
Complete question:
A light wave has a 670 nm wavelength in air. Its wavelength in a transparent solid is 420nm.
What is the speed of light in this solid?