0.3m/s² is the acceleration of the ball.
What is stated by Newton's second law of motion?
The formal formulation of Newton's second law of motion is as follows: The acceleration of an item caused by a net force is inversely proportional to the mass of the object and directly proportional to the magnitude of the net force in the same direction.
Newton's second law provides a precise explanation of the modifications that a force can make to a body's motion. According to this, a body's momentum changes at a rate that is equal to the force acting on it over time in both magnitude and direction.
F = ma
Mass of ball = 1.5kg = 1500g
Force = 450N
a =?
a = F/m = 450/1500
a = 0.3m/s²
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how do we know what the surface of venus looks like?
A few ways that scientists have been able to study the surface of Venus are:
Radar imaging: This involves sending radar signals from a spacecraft and measuring the time it takes for the signals to bounce back.Spacecraft missions: These missions have used a variety of instruments, including cameras, spectrometers, and radar, to gather data about the planet.Ground-based observations: Astronomers have used telescopes to study the planet's brightness and other features, as well as to map its surface.How does surface of Venus look ?The surface of Venus is a fascinating and unique environment, with a number of unique features and conditions. Here are some of the most notable characteristics of the surface of Venus:
Volcanoes: Venus has a large number of volcanoes, many of which are still active. Some of the largest volcanoes on Venus are among the largest in the solar system.Plains: Much of the surface of Venus is covered by vast, flat plains, which are thought to have formed from volcanic eruptions.Mountains: There are also a number of mountain ranges on Venus, including the Maxwell Mountains, which are some of the tallest in the solar system.Craters: The surface of Venus is also dotted with impact craters, which are the result of collisions with asteroids and other objects.Extreme conditions: The surface of Venus is characterized by extreme conditions, including high temperatures, a toxic atmosphere, and crushing atmospheric pressure. These conditions make it difficult for spacecraft to operate and for life to exist.The various methods have allowed scientists to learn a great deal about the surface of Venus, including its geological features, such as its numerous volcanoes and vast plains, as well as its extreme atmospheric conditions, such as its thick and toxic atmosphere.
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3. A baseball player leads off the game and hits a long home run. The ball leaves the bat at
an angle of 30.00 from the horizontal with a velocity of 40.0 m/s. How far will it travel in
the air?
A baseball player launches a big home run to start the game. The ball leaves the bat with a speed of 40.0 m/s and an angle of 30.0° from the horizontal.
What is Projectile Motion?An item or particle that is propelled into a gravitational field, for example from the surface of the Earth, and moves across a curved route only under the influence of gravity is said to be experiencing projectile motion. Most calculations make the assumption that the effects of air resistance are passive and insignificant in the specific instance of Earth projectile motion. The curving path of objects in projectile motion was proved by Galileo to be a parabola, but it could also be a straight line in the specific situation when it is hurled directly upwards. One such trajectory is a ballistic trajectory, which is the study of such motions.
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Is NOCl Polar or Nonpolar?
NOCl is a polar molecule due to its trigonal pyramidal shape and polar covalent bond between nitrogen and chlorine.
NOCl (Nitrosyl chloride) is a polar particle because of its sub-atomic calculation and the extremity of its bonds. The particle has a three-sided pyramidal shape with a solitary sets of electrons on the nitrogen iota and a polar covalent connection between the nitrogen and chlorine molecules.
The electronegativity distinction among nitrogen and chlorine makes a dipole second in the NOCl particle, with the nitrogen iota conveying a fractional negative charge and the chlorine molecule conveying a halfway sure charge. This extremity permits NOCl to show intermolecular powers, for example, dipole associations and hydrogen holding.
As a polar particle, NOCl has a higher limit and is more dissolvable in polar solvents contrasted with nonpolar solvents. The extremity of NOCl makes it valuable in different modern applications like in the creation of colors and drugs.
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Question 2 of 10
A scientist adds different amounts of salt to 5 bottles of water. She then
measures how long it takes for the water to boil. What is the responding
variable in this experiment?
A. The kind of bottles used
B. The brand of salt used
C. The time it takes for the water to boil
D. The amount of salt added to the water
The responding variable in this experiment on adding salt to bottles of water is C. The time it takes for the water to boil.
How to find the responding variable ?The responding variable in this experiment is the time it takes for the water to boil, which is being measured and recorded by the scientist. This variable is dependent on the independent variable, which in this case is the amount of salt added to each bottle of water.
The scientist is manipulating the independent variable (the amount of salt added) to observe the effect it has on the responding variable (the time it takes for the water to boil).
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how does wind speed help predict severe weather?
Answer:
Higher winds mean the possibility of severe weather.
Explanation:
High winds blow low pressure systems into our area, giving us bad weather.
Una pelota de plástico de 12. 3 g cuelga de un hilo de 28. 6 cm que esta sujeto a una pared vertical. Un campo eléctrico se encuentra en el cuarto. Cuando se le da a la pelota una carga de -1. 11 mC, se observa que permanece suspendida haciendo un ángulo de 17. 4° entre el hilo y la pared. ¿Cuál es la magnitud del campo eléctrico y su dirección?
La magnitud del campo eléctrico es de 4.03 x 10⁶ N/C y su dirección es perpendicular a la pared y hacia arriba.
How to determine Campo electricoEl campo eléctrico es de 12,29 N/C con dirección hacia arriba. Esto se calcula usando el principio de conservación de la energía, el cual afirma que el trabajo realizado para cargar la pelota de plástico de 12,3 g con una carga de -1,11 mC es igual al trabajo necesario para sostenerla en un ángulo de 17,4° con el hilo de 28,6 cm.
Así, la magnitud del campo eléctrico se calcula usando la siguiente fórmula:
E = W/q
= (mgh x sin(θ))/q
= (0,0123 x 9,81 x 28,6 x sin(17,4°))/(-1,11x10⁻³)
= 12,29 N/C
La magnitud del campo eléctrico se puede encontrar utilizando la ley de Coulomb y la trigonometría. La ley de Coulomb establece que la fuerza eléctrica entre dos cargas es igual a la constante de Coulomb (k) multiplicada por el producto de las dos cargas dividido por la distancia entre ellas al cuadrado.
En este caso, la fuerza eléctrica es igual a la fuerza gravitacional, ya que la pelota permanece suspendida. Por lo tanto, podemos escribir:
Fe = Fg
k x q₁ x q₂ / r² = m x g
Donde Fe es la fuerza eléctrica, Fg es la fuerza gravitacional, q₁ y q₂ son las cargas, r es la distancia entre ellas, m es la masa de la pelota y g es la aceleración debida a la gravedad.
Utilizando la trigonometría, podemos encontrar la distancia entre la pelota y la pared, que es igual a la longitud del hilo multiplicada por el coseno del ángulo entre el hilo y la pared. Por lo tanto, r = 28.6 cm x cos(17.4°) = 26.9 cm.
Sustituyendo los valores conocidos en la ecuación y resolviendo para q_2, obtenemos:
q₂ = (m x g x r²) / (k xq1)
q₂ = (12.3 g x26.9 cm²) / (9 x 10⁹ N x m²/C² x -1.11 x 10⁻³ C)
q₂ = -2.99 x 10⁻⁶ C
La magnitud del campo eléctrico es igual a la fuerza eléctrica dividida por la carga, por lo que:
E = Fe / q₂
E = (m x g) / q₂
E = (12.3 g x 9.8 m/s²) / (-2.99 x 10⁻⁶ C)
E = -4.03 x 10⁶ N/C
La dirección del campo eléctrico es perpendicular a la pared y hacia arriba, ya que la pelota está suspendida y la fuerza eléctrica es igual a la fuerza gravitacional.
En conclusión, la magnitud del campo eléctrico es de 4.03 x 10⁶ N/C y su dirección es perpendicular a la pared y hacia arriba.
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what is third variable problem?
The third variable problem refers to the possibility that a correlation between two variables may be caused by a third variable that is related to both of them.
In research, it is common to find a correlation between two variables, but it is important to consider the possibility that another factor may be influencing the relationship between those variables. This is where the third variable problem arises.
For example, if researchers find a correlation between ice cream consumption and crime rates, it would be erroneous to conclude that eating ice cream causes crime. It is possible that a third variable, such as temperature, could be influencing both ice cream consumption and crime rates.
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A long, straight wire lies along the xx-axis and carries current II = 65. 0 AA in the +xx-direction. A small particle with mass 4. 00×10−6kg4. 00×10−6kg and charge 8. 00×10−3C8. 00×10−3C is traveling in the vicinity of the wire. At an instant when the particle is on the yy-axis at yy = 8. 00 cmcm, its acceleration has components ax=−5. 00×103m/s2ax=−5. 00×103m/s2 and ay=+9. 00×103m/s2ay=+9. 00×103m/s2
The magnetic flux (B) is calculated to be -6.15×10^-5 T in the -xx-direction.
The magnetic force on a charged particle moving in a magnetic field is given by:
F = qvBsinθ
where q is the charge of the particle, v is its velocity, B is the magnetic field, and θ is the angle between the velocity and the magnetic field.
In this problem, the particle is moving parallel to the yy-axis, so its velocity vector is in the +yy-direction. The magnetic field is in the +xx-direction due to the current in the wire. Therefore, the angle between the velocity and the magnetic field is 90 degrees, and sinθ = 1.
The magnetic force on the particle is given by:
F = qvB
The acceleration of the particle is related to the net force acting on it by:
F = ma
where m is the mass of the particle and a is its acceleration.
Combining these equations, we have:
qvB = ma
Solving for B, we get:
B = (ma)/(qv)
Substituting the given values, we get:
B = [(4.00×10^-6 kg) × (-5.00×10^3 m/s^2)] / [(8.00×10^-3 C) × (65.0 A)]
B = -6.15×10^-5 T
The negative sign indicates that the magnetic field is in the opposite direction to the +xx-direction of the wire, which means that it is in the -xx-direction.
Therefore, the correct answer is -6.15×10^-5 T in the -xx-direction.
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Replace the loading acting on the beam by a single resultant force. specify where the force act, measured from B
The question is incomplete but the resultant force would act along the straight lines that were holding the beam.
What is the resultant force?
The resultant force, also known as the net force, is the single force that has the same effect as all of the individual forces acting on an object. It represents the overall effect of all forces on an object, taking into account their magnitude, direction, and type (compressive, tensile, frictional, etc.).
The concept of the resultant force is important in mechanics and engineering, as it determines the motion of an object. For example, if the net force acting on an object is zero, the object is said to be in a state of equilibrium and will not accelerate or change its velocity. On the other hand, if the net force on an object is not zero, the object will accelerate in the direction of the net force.
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the iris, or the colored part of your eye, controls the amount of light passing through. from there, it then hits the lens. this is the clear structure inside the eye that focuses light rays onto the retina. (T/F)
True - the iris, or the colored part of your eye, controls the amount of light passing through. from there, it then hits the lens. this is the clear structure inside the eye that focuses light rays onto the retina.
The iris is the colored part of the eye and it is made up of two layers of muscles. These muscles control the amount of light that passes through the pupil, which is the black dot in the center of the iris.
The iris opens and closes to allow more or less light to enter the eye. When it is bright outside, the iris closes and when it is darker outside, the iris opens.
The light that passes through the pupil then hits the lens. The lens is a transparent structure inside the eye that is curved and helps to focus the light onto the retina. The lens is flexible and can change shape to help focus the light.
This focused light is then sent to the retina, which contains light-sensitive cells called rods and cones. These cells convert the light into electrical signals, which are then sent to the brain where they are interpreted as images.
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a gamma ray of wavelength 1.00 × 10–8 cm has enough energy to remove an electron from a hydrogen atom. True or false?
This statement is True, a gamma ray of wavelength 1.00 × 10–8 cm has enough energy to remove an electron from a hydrogen atom.
Gamma rays are produced in the disintegration of radioactive atomic nuclei and in the decay of sure subatomic particles. The normally ordinary definitions of the gamma-ray and X-ray regions of the electromagnetic spectrum encompass a few wavelength overlap, with gamma-ray radiation having wavelengths which can be usually shorter than a few tenths of an angstrom (10−10 metre) and gamma-ray photons having energies which are extra than tens of hundreds of electron volts (eV).
There's no theoretical top limit to the energies of gamma-ray photons and no decrease limit to gamma-ray wavelengths; located energies currently expand up to 3 trillion electron volts—those extraordinarily excessive-power photons are produced in astronomical sources via currently unidentified mechanisms.
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Rank each pendulum on the basis of the maximum kinetic energy it attains after release_ Rank from largest to smallest To rank items as equivalent; overlap them View Available Hint(s) Reset Help h -60 cm m = 2 kg h = 30 cm m=4kg h =30 cm m =2kg h =60 cm m =lkg h =45 cm m=3kg h=I5 cm m = 8 kg largest smallest The correct ranking cannot be determined_
Ranking the pendulums based on the maximum kinetic energy they attain after release, from largest to smallest, is not possible with the information provided.
What is its maximum kinetic energy ?The amplitude of the swing, the mass of the pendulum, and the height at which it is released are some of the variables that affect a pendulum's maximum kinetic energy. The height and mass of each pendulum are mentioned in the material; the there is no obvious pattern in the mass and height combinations of the pendulums that would permit a ranking based only on those variables.As a result, with the information provided, it is impossible to determine the pendulums' proper ranking.
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occurs in what month is halfway between the winter solstice and the spring equinox
Halfway between the winter solstice and the spring equinox is the month of February in the Northern Hemisphere and August in the Southern Hemisphere.
When is Winter Solstice & Spring Equinox?The winter solstice occurs on December 21st or 22nd and marks the shortest day and longest night of the year. The spring equinox occurs on March 20th or 21st and marks the start of spring, when the day and night are roughly equal in length.
Halfway between these two events is approximately February 10th in the Northern Hemisphere and August 10th in the Southern Hemisphere. This is when the days start to get noticeably longer and the sun starts to rise higher in the sky, signaling the end of winter and the beginning of spring.
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If a car moves 12km north,19km east, and 12km south, what is its displacement?
is the wave nature of matter significant for bullets?
The wave nature of matter is generally not significant for bullets, which are macroscopic objects composed of many particles.
The wave-particle duality of matter is a fundamental property of subatomic particles, such as electrons and photons, and is observed at the quantum level. For larger objects, including bullets, classical mechanics provides a sufficient framework for describing their behavior. However, in some cases, such as the diffraction of electrons or neutrons passing through small openings, the wave nature of matter can have practical applications. In general, though, the wave nature of matter is not a significant factor in the behavior of bullets.
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What is electric boogaloo meaning?
The term "electric boogaloo" originated from the 1984 movie "Breakin' 2: Electric Boogaloo."
The movie is a sequel to the 1984 film "Breakin'" and features street dancers battling a developer who wants to tear down their community center.
The term "electric boogaloo" has since been used to refer to a sequel or a continuation of something, often in a humorous or satirical way. For example, someone might say "The Hangover 2: Electric Boogaloo" to refer to the sequel of the movie "The Hangover." It is often used in internet memes and on social media as a way to poke fun at sequels or continuations of events.
Since the release of the movie, the phrase "Electric Boogaloo" has been used in various ways in popular culture, including as a humorous way to indicate a sequel, a way to mock or criticize a sequel or follow-up, or simply as a way to add emphasis to a statement.
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when placed inside of a magnetic field, nmr active nuclei act in what way?
NMR active nuclei act in a way that causes them to absorb and emit electromagnetic radiation when placed inside of a magnetic field. This allows them to be used to measure the magnetic properties of the sample.
What is the radiation ?Radiation is a form of energy that is released from an atom in the form of electromagnetic waves or particles. It occurs naturally, such as from the sun, and can also be generated artificially, such as through medical or industrial processes. Radiation is all around us, and takes many forms. It can be either ionising or non-ionising radiation. Ionising radiation has enough energy to remove electrons from atoms, thus creating ions. This type of radiation is known to be hazardous and can damage living tissue, such as cells in the body. Non-ionising radiation, on the other hand, does not have enough energy to damage tissue and is therefore considered less hazardous. Examples of non-ionising radiation are radio waves, microwaves and visible light.
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If the tides are caused by the gravitational pull of the Moon, why are there multiple tide cycles within one rotation of the moon?
Answer:
Because the sun attracts the earth, and there will be a high tide when the sun is about overhead and a low tide when the earth is between the sun and the water causing the tide.
How can I find a solution for Science Fiction Energy Rays That Might Suck Up Earthly Bodies, As Depicted Three Times In This Puzzle?
Unfortunately, there is no definitive answer to this puzzle as it is based on science fiction and is not a real-world phenomenon. However, there are several creative solutions that could be explored.
What is the fiction ?Fiction is a form of imaginative storytelling that can be found in books, movies, plays, television shows, and other creative works. It is based on the creative imagination of the writer, artist, or filmmaker, and is often set in a fictional world or universe separate from our own. Fiction can be thought of as an escape from reality, allowing the reader or viewer to explore different characters, settings, and situations, and to experience a story in a way that is not possible in real life. Fiction can range from the fantastical and magical to the mundane and ordinary, and can explore a wide range of topics, themes, and ideas. It can be used to entertain, to teach, to inspire, and to provoke thought.
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The probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring.A. True
B. False
Answer:
A. true
Suppose A = probability of a day occurring on the weekend
B = probability of day occurring last half of weekend
A int B = 2/7 * 1/2 = 1/7
obviously a Sun can occur only 1/7 of the time
Determine whether an interference pattern is observed on other side of the slits in each of the following experiments. a. An electron beam is aimed at two closely spaced slits. The beam is attenuated to produce only 1 electron per minute. b. An electron beam is aimed at two closely spaced slits. A light beam is placed at each slit to determine when an electron goes through the slit. c. A high-intensity light beam is aimed at two closely spaced slits. d. A gun is fired at a solid wall containing two closely spaced slits.
Two slits with close spacing are the target of an electron beam. It is possible to tell when an electron passes through a slit by placing a laser beam at each one. (Position b)
What does intensity look like?The amount of physical power the body consumes during an activity is known as its intensity and is expressed as a percentage of the maximal oxygen consumption. To walk a mile in 20 minutes, for instance, a certain amount of exercise intensity is required.
How do people behave with intensity?Arousal, dedication, effort, assertiveness, and attentional concentration are just a few of the traits that can be used to measure how well a person does in a given activity or sector. additionally known as performance intensity.
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What two things must you know to describe the motion of an object?
Both the direction and the speed of an object's motion must be included when describing motion. You also have to reveal its location at a specific time.
What are some ways to describe how an object moves?Position, direction, speed, and acceleration are used to characterise an object's motion. Motion is the gradual alteration of a body's position or orientation. Translational motion is defined as the movement of an object along a line or a curve.
Which two numbers are appropriate to use when describing motion?Scalars or vectors are the two types of variables that are typically employed to describe motion. A quantity whose magnitude and direction may both be used to fully describe it is referred to as a vector. Any quantity whose magnitude alone can adequately explain it is referred to as a scalar.
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what condition is necessary for heat to flow between two objects?
Temperature difference, Material separating the objects, Heat transfer mechanism, Contact area & Time are the conditions necessary for heat flow.
What are conditions for heat flow?The following conditions are necessary for heat to flow between two objects:
Temperature difference: Heat always flows from an object with a higher temperature to an object with a lower temperature, so a temperature difference between the two objects is necessary for heat to flow.
Material separating the objects: Heat can only flow between two objects if there is a material that separates them. The type of material and its thermal conductivity will affect the rate at which heat flows.
Heat transfer mechanism: Heat can be transferred between objects through conduction, convection, or radiation. The specific heat transfer mechanism will depend on the conditions of the objects and the material separating them.
Contact area: The larger the contact area between the two objects, the greater the heat transfer will be.
Time: Heat transfer is a process that occurs over time, so a sufficient amount of time must be allowed for heat to flow from one object to the other.
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What is the Lewis structure for PF6?
The Lewis structure for PF6 has a central phosphorus atom with six surrounding fluorine atoms. Each fluorine atom is bonded to the phosphorus atom by a single bond and has a lone pair of electrons.
PF6 is a polyatomic ion, which means it has a charge. In this case, the charge is -1. The Lewis structure shows how the atoms in the ion are connected and how the electrons are distributed.
The six fluorine atoms form a symmetric octahedral arrangement around the phosphorus atom. Each fluorine atom contributes one electron to form a single bond with the phosphorus atom. The lone pairs on each fluorine atom are not involved in bonding and are localized on the atom.
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imagine a planet moving in a perfectly circular orbit around the sun. is this planet experiencing acceleration?
Yes, the planet is experiencing acceleration. If we imagine a planet moving in a perfectly circular orbit around the sun. is this planet experiencing acceleration?
Acceleration is defined as the rate of change of velocity, and since the planet is moving in a circular orbit, it is constantly changing its direction, resulting in an acceleration towards the center of the orbit. This is known as centripetal acceleration, and it is what keeps the planet in its circular path and prevents it from flying off into space. The magnitude of this acceleration depends on the speed of the planet, its distance from the sun, and the mass of the sun.
In conclusion, even though the planet is moving in a circular path and its speed may not be changing, its direction is constantly changing, causing it to experience acceleration. This centripetal acceleration ensures that the planet remains in its orbit around the sun.
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When you encounter a new or frightening situation, your body launches a stress response commonly known as
When you encounter a new or frightening situation, your body launches a stress response commonly known as "fight-or-flight” response.
What is "fight-or-flight” response?This is referred to as a physiological reaction that occurs in response to a perceived harmful event, attack, or threat to survival.
It involves the body responding to stress through different types of changes in the body system such as the heart pounding faster, muscles tighten, blood pressure rises, breath quickens, and your senses become sharper which is therefore the reason why it was chosen as the correct choice.
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Q2. People say, "magnetic north pole of the earth is present in the geographical south pole Using a compass and the knowledge of attraction between magnets, can you prove this theory?
We can prove this fact using a compass. The compass needle's north is always pointed towards the geographic north. It is because the geographic north of earth is its magnetic south pole and will attracts the north pole of compass.
What are magnetic poles ?A magnet have its strongest field strength at it poles. A magnet is having two poles namely magnetic south and magnetic north poles. The magnetic field lines at south pole is inwards whereas, it is outwards at north pole.
Two unlike poles of a magnet attracts each other and two like poles will repel each other as in the case of charges. The magnetic north pole of a compass will be always pointed towards the geographic north.
This fact is clearly observable with a compass. It is because, the magnetic south of the earth's magnetic field is located in its geographic north pole. That is why the compass north pole is attracted towards the south pole of earth's magnet that is at the north of earth.
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A bowling ball weighs 645 N.
What is the mass of the
bowling ball?
n = [?] kg
m
Answer:
Explanation:
To find the mass of an object, we can use the formula:
mass (m) = force (f) / acceleration (a)
Since the force on an object is equal to its weight, which is the force of gravity acting on it, we can use the equation:
mass (m) = weight (f) / acceleration (a)
where weight (f) = 645 N and acceleration (a) is the acceleration due to gravity, which is approximately 9.8 m/s^2 on the surface of the Earth.
So, we have:
mass (m) = 645 N / 9.8 m/s^2 = 66 kg
Therefore, the mass of the bowling ball is 66 kg.
A bowling ball weighs 645 N. then the mass of the bowling ball is 65.8 kg. Weight is gravitational force acting on the ball.
Given,
Weight W = 645 N
Acceleration due to gravity g = 9.8 m/s²
mass m = ?
The weight of the object is given by,
W = mg
645 = m*9.8
m = 65.8 Kg
Hence mass of the ball is 65.8 kg
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suppose that you lift an object by exerting an upward force of 12 newtons on it. if gravity exerts a force of 10 newtons downward on the object, what is the total force on the object?
a. 12 newtons.
b. 10 newtons.
c. 2 newtons.
d. 22 newtons.
The total force on the object is 2 newtons.
What is upward force?
Upward force is a force that acts in an upward direction. It is a force that opposes the downward force of gravity. It is the force that allows an object to rise upwards and resist the pull of gravity. This upward force can be generated by air resistance, buoyancy, or a combination of both. Upward force is also known as lift. It is commonly used in aerodynamics and propulsion systems. Examples of upward force include the lift generated by a plane’s wings, the thrust of a rocket engine, and the buoyancy of a balloon.
The upward force is 12 newtons.
The gravity is exerting a force of 10 newtons downward on the object.
Then Subtract because they are in opposite directions.
12 - 10 = 2 newtons.
Therefore, 2 newtons is the correct answer.
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A spring of k=500 N/m that is initially compressed 2m is used to launch a 100N load of bricks up a 2 m tall
hill. Find the speed of the bricks at the top of the hill.
e. What would the speed at the top of the hill be with 2m of initial compression if 15% of the energy is
dissipated through friction?
Speed of the bricks at the top of hill is calculated as 6.26 m/s. e) speed of the bricks at top of hill with 2 m of initial compression and 15% energy dissipation is calculated as 13.04 m/s.
What is energy?The capacity or power to do work, like the capacity to move any object by the application of force is called energy.
Initial potential energy of compressed spring:
Ep = 1/2 kx^2 = 1/2 * 500 N/m * (2 m)^2 = 1000 J
Here, k is spring constant, x is compression of the spring, and J is unit of energy in joules.
Final potential energy of the bricks:
Ep = m g h = 100 N * 9.81 m/s^2 * 2 m
= 1962 J
As, Ep = Ep
1/2 kx^2 = m g h
v = sqrt(2gh) = sqrt(2 * 9.81 m/s^2 * 2 m) = 6.26 m/s
Therefore, speed of the bricks at the top of the hill is 6.26 m/s.
e. If 15% of energy is dissipated through friction, final kinetic energy of the bricks at the top of hill will be 85% of initial potential energy of compressed spring.
0.85 * 1000 J = 1/2 mv^2
v = sqrt(170 / 1)
= 13.04 m/s
Therefore, speed of bricks at the top of the hill with 2 m of initial compression and 15% energy dissipation is 13.04 m/s.
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