For a simple harmonic oscillator, which of the following pairs of vector quantities always point in the same direction throughout the motion? (Note: the position vector defines the object's displacement from equilibrium.)a. restoring force and accelerationb. position and accelerationc. position and velocityd. velocity and acceleration
Answers
The correct answer is D: velocity and acceleration. In a simple harmonic oscillator, the restoring force and position vector point in opposite directions, whereas the velocity and acceleration vectors point in the same direction throughout the motion.
For a simple harmonic oscillator, the position vector describes the object's displacement from equilibrium. The restoring force vector always points back toward equilibrium. The velocity vector describes the speed and direction of the object, and the acceleration vector describes the rate of change of the velocity vector. Both the velocity vector and acceleration vector always point in the same direction throughout the motion.
The equations governing the motion of a simple harmonic oscillator involve the position vector, the restoring force vector, the velocity vector, and the acceleration vector. The position vector is determined by the restoring force vector, while the acceleration vector is determined by the position vector. This means that the restoring force vector and the acceleration vector are not always pointing in the same direction.
In summary, for a simple harmonic oscillator, the correct pair of vector quantities that always point in the same direction throughout the motion is the velocity and acceleration vectors.
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Related Questions
When you put your hands on a cold object, like
a glass of ice water, your hands become____________
The glass of water______________becomes
___________if you leave your hands on it for a long time. If you
leave the glass of ice water out in the sun, the
ice will start to ____________________.
Answers
Answer:
cold, warm and melt
Explanation:
A 7.50 kg bowling ball moving6.42 m/s strikes a 1.60 kg bowlingpin at rest. After, the pin moves14.8 m/s at a -47.0° angle. Whatis the y-component of the ball'sfinal velocity?y-component (m/s)Enter
Answers
let the bowling ball initially is moving along the x-axis,
The whole process can be represented as,
Before the collision the net kinetic energy of the balls is,
\(K_{iy}=\frac{1}{2}\times m_1\times(v_1\cos (90^o))^2+\frac{1}{2}\times m_2\times(0)^2\)where the values of the variables are given as,
\(\begin{gathered} m_1=7.5\text{ kg} \\ v_1=6.42ms^{-1} \\ m_2=1.6\text{ kg} \end{gathered}\)As the value of cos(90) is zero.
Substituting the known values,
The value of the net kinetic energy with the velocity along the y-axis before the collision is,
\(K_{iy}=0\)The velocity of the second ball is at rest in the initial state, thus its value is taken as zero.
After the collision of the balls, the net kinetic energy is,
\(\begin{gathered} K_{fy}=\frac{1}{2}\times m_1\times(v^{\prime}_1\sin (\alpha))^2+\frac{1}{2}\times m_1\times(v^{\prime}_2\sin (-47^o))^2 \\ K_{fy}=\frac{1}{2}\times m_1\times(v_{1fy})^2+\frac{1}{2}\times m_1\times(v^{\prime}_2\sin (-47^o))^2 \end{gathered}\)Negative sign here indicating the direction of the final balls motion will be opposite to the each other.
The values of the variables are given as,
\(v^{\prime}_2=14.8ms^{-1}\)Substituting the known values,
The value final kinetic enegry of the balls with velocity along the y-axis is,
\(\begin{gathered} K_{fy}=\frac{1}{2}\times7.5\times(v_{1fy})^2+\frac{1}{2}\times1.6\times(14.8\times\sin (360^o-47^o)^2 \\ K_{fy}=3.75\times(v_{1fy})^2-93.72 \end{gathered}\)Here 360 degree is used because the pin ball direction is downward of the positive x-axis.
Then by the law of conservation of energy along the y-axis,
\(\begin{gathered} K_{iy}=K_{fy} \\ 0=3.75\times(v_{1fy})^2-93.72 \\ (v_{1fy})^2=\frac{93.72}{3.75} \\ (v_{1fy})^2=25 \\ v_{1fy}=5ms^{-1} \end{gathered}\)Thus, the y component of the final velocity of the bowling ball of mass m1 is 5 meter per second.
Use the drop-down menu to complete the statement. Based on the data in the line graph, you can predict there will likely be visitors in December compared to October.
Answers
Answer:
Fewer
Explanation
Just did it on edge
Based on the data provided in the line graph, one can predict there will likely be less or fewer visitors in December compared to October.
What is line graph?The graph between two physical quantities in which the curve is a straight line. The line may be going upwards or downwards.
The slope is defined as the ratio of change in quantity on y axis and the change in quantity on x axis.
Slope is represented as
m = Δy / Δx
Given is graph(attached below) between the number of visitors and months. The graph is having positive slope till August and then after that slope is negative till December.
Positive slope means the change in quantity on y axis is increasing and negative slope is change in quantity on y axis is decreasing
When the number of visitors are compared, December month has less visitors than in the October month.
Thus, Based on the data provided in the line graph, one can predict there will likely be less or fewer visitors in December compared to October.
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A spring of force constant 1500 Nm-l is acted
upon by a constant force of 75 N. Calculate
the potential energy stored in the spring.
Answers
Answer:
1.876 J
Explanation:
First, let’s calculate the compression of the spring from the Hooke’s law:
F=kx,
here, F=75 N is the force acted on the spring, k=1500 N⁄m is the force constant of the spring, x is the compression of the spring.
Then, we get:
x=F/k=(75 N)/(1500 N/m)=0.05 m.
Finally, we can find the potential energy stored in the spring:
PE=1/2 kx^2=1/2∙1500 N/m∙(0.05 m)^2=1.875 J.
correct my answer if it's wrong ^^
What 2 predictions can you make about Argon's (Period 3, Group 18) properties based
on its location on the periodic table?
It is very reactive
It is nonmetal that does not conduct electricity well
It is a metal and conducts electricity well
It is very unreactive
Answers
The periodic table we can find that correct statements are:
b) It is nonmetal that does not conduct electricity well
d) It is very unreactive
The periodic table is a method developed to group chemical elements based on their atomic number allowing to visualize many similarities between different chemical elements.
The peridot table is divided:
Rows called periods, each begins with an element with a single electron in its last shell and ends in an element with eight electrons in its last shellColumns called a group, each element of the column has the same number of electrons in the last shell.The properties of the elements in a column (group) are similar, for example group 8 (VIIIA) called noble gases has 8 electrons in its last shell, which is why it is full, which implies that they are non-reactive and because the electrons are not full. they can move before electrical fields therefore their electrical conductivity in small.
Let's analyze the different affirmations in scares that Argon is an element of group 8, it is a noble gas
a) False. The last layer is full, so it is non-reactive
b) True. As the last cap is full and the inner layers too, the electrons cannot move, so the electrical conductivity is very low.
c) False. It is a non-metal and does not conduct electricity
d) True. As the last layer is full, the reactivity is very small.
Conclusion with the use of the periodic table we can find the correct statements are:
b) It is nonmetal that does not conduct electricity well
d) It is very unreactive
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How does the composition of a comet compare with that of the Sun?
Both objects are composed of gas.
Both objects contain a form of water.
Comets are made of ice and dust, while the Sun is made of gas.
Comets are made of frozen rock, while the Sun is made of burning rock.
Answers
Answer:
C
Explanation:
The composition of a comet compared with that of the Sun is C "Comets are made of ice and dust, while the Sun is made of gas".
What are comets?Comets are small, icy bodies that originate from the outer solar system and are composed mainly of frozen water, carbon dioxide, methane, and ammonia, along with dust and small rocky particles. When a comet approaches the Sun, its icy material vaporizes, creating a glowing coma (a hazy atmosphere around the nucleus) and a tail that points away from the Sun due to the solar wind.
On the other hand, the Sun is a giant ball of hot, glowing gas, composed mainly of hydrogen (about 73% of its mass) and helium (about 25% of its mass), with trace amounts of other elements like oxygen, carbon, and iron. The Sun generates energy through nuclear fusion reactions in its core, which convert hydrogen into helium and release a tremendous amount of energy in the process.
Therefore, the composition of a comet is quite different from that of the Sun. While both objects contain some water (in the form of ice for comets and vapor for the Sun), comets are predominantly made of ice and dust, while the Sun is predominantly made of gas, with only a small amount of solid material in its core.
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What is the speed of sound traveling through the solid object? Please show how you got the answer.
Answers
The speed of the sound wave having a frequency of 300 Hz and a wavelength of 5 m is 1500 m/s
How do i determine the speed of the sound wave?The speed of a wave is defined by the following formular:
speed of wave (v) = wavelength (λ) × frequency (f)
v = λf
With the above formula, we can obtain the speed of the sound wave as shown below:
Frequency of sound wave (f) = 300 HzWavelength of sound wave (λ) = 5 mSpeed of sound wave (v) =?Speed of sound wave (v) = wavelength (λ) × frequency (f)
Speed of sound wave (v) = 5 × 300
Speed of sound wave (v) = 1500 m/s
Thus, the speed of the sound wave is 1500 m/s
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DUE RIGHT NOW
IT WOULD BE NICE IF YOU EXPLAIN TO
Answers
Answer: 0-3 minutes
Explanation:
On the side of the graph, it shows you the distance the car was moving. As you know, MPH (miles per hour) shows how fast an object is moving, meaning that the car was going around 0-1 mph around minutes 0-3. Just make sure you know how to read a graph and this will become an easy question for you :)
Answer:
5-8 minutes the car isn't traveling. The g above is wrong
Explanation:
Sunidhi made a study chart about changes in states of
matter.
Which headings best complete the chart?
X
melting
sublimation
Y
freezing
deposition
X: Solid Directly to Liquid
Y: Liquid Directly to Solid
OX: Liquid Directly to Solid
Y: Solid Directly to Liquid
O X: Heat Is Released
Y: Heat Is Absorbed
X: Heat Is Absorbed
Y: Heat Is Released
Answers
Answer:
freezing melting sublimating x y
x and
Explanation:
To drop a table of states of matter the best headings must be
table name: matter state
freezing melting sublimation x y
This order goes from the solid state to the gaseous state, which is obtained by introducing heat into the system
Answer: D on edge
X: Heat Is Absorbed
Y: Heat Is Released
Explanation:
sublimation and melting are both absorbing heat(aka getting warmer)as they change state while freezing and deposition are releasing heat(aka getting colder)as they change state
i) Show that total energy of the body at points A, B and C during the fall is same. ii) Find the distance from A to B and final velocity of the ball just reach before C. mass =5 kg, total height (h)= 100m
Answers
The total energy of the body at evevry point is remained same due to the law of conservation of energy. Distance from A to B and final velocity of the ball just reach before C is 44.3 m/s.
d (distance) from A to B is = √2gh
In this case given are, g = 9.8 m/s² and h = 100m,
so here d = √(2⋅9.8⋅100) = 44.3m.
Final velocity ,v = √2gh
Here given are , v is the velocity, g is the acceleration due to gravity, and h is the height. In this case,
g = 9.8 m/s² ,h = 100m,
v = √(2⋅9.8⋅100)
= 44.3 m/s (final velocity)
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how to sketch the following?:Sketch ray diagrams for a spherical convex lens with objects at the following distances. (Submit a file with a maximum size of 1 MB.)Do > 2f2f > Do > fDo < f
Answers
1) Do > 2f
Do means object distance
2f means 2 x focal length
2 x focal length = radius of curvature
When an object is placed beyond the radius of curvature, a real image is formed between the radius of curvature and focus. The image size is reduced. The sketch is shown below
How does temperature change from planets to planets in our solar system?
Answers
The further a planet is from the Sun, the colder its surface temperatures tend to be. Venus is an exception, since it has the highest surface temperature in our solar system due to its close closeness to the Sun and its thick atmosphere.
What was the temperature of the solar system when the planets first formed?The inner planets are rocky, whereas the outer planets are gaseous, which can be attributed to the early solar system's temperature. The solar system's temperature increased as the gases came together to create a protosun. Temperatures in the inner solar system reached 2000 K, whilst in the outer solar system, it was only 50 K.
The quantity of heat received is just one of many intricate aspects that go into determining the temperature.
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Ted lifts a 10N weight at a height of 1.5 m in 1 second. Johnny lifts a 10N weight at a height of 1.5 m in 2 second. Which statements are correct? A. Johnny and Ted did the same amount of work B. Ted did more work C. Johnny and Ted expanded the same power D. Ted expanded more power E Johnny did more work F. Johnny expanded more power
Answers
Answer:
he affirmations the correct ones are: A and D
Explanation:
To find out which expressions are correct, let's calculate the work and power done by each person
the expression for work is W = F and
the expression for power is P = W / t
In this case the work is positive because the beast is in the same direction of displacement.
Ted
W₁ = 10 1.5
W₁ = 15 J
P₁ = 15/1
P₁ = 15 w
Johnny
the job
W₂ = 10 1.5
W₂ = 15 J
the potential
P₂ = 15/2
P₂ = 7.5 w
therefore we see that the work of both is the same, but Ted developed twice as much power as Johnny
when resisting the affirmations the correct ones are: A and D
When constructive interference happens between two sound waves, the sound will get louder. What does this tell you about the relationship between amplitude and volume of sound?
Answers
Answer:
If the amplitude increases the volume increases and vice versa.So therefor the volume depends on how high or low the amplitude is.
When two or more sound waves occupy the same space, they affect one another. The waves do not bounce off of each, but they move through each other. The resulting wave depends on how the waves line up.
With constructive interference, two waves with the same frequency and amplitude line up – the peaks line up with peaks and troughs with troughs as in diagram A above. The result is a wave that has twice the amplitude of the original waves so the sound wave will be twice as loud.
Which describes a condition of the neritic zone?
few organisms
ample sunlight
changing salinity
frigid temperatures
Answers
Answer:
ample sunlight
Explanation:
Neritic zone have ample of sunlight
What is Neritic zone ?The neritic zone is covered with generally well - oxygenated water , receives plenty of sunlight , have relatively stable temperature , has low water pressure and stable salinity levels .
Hence , correct option is option b) ample sunlight
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a system of particles is known to have a positive total kinetic energy. what can you say about the total momentum of the system?
Answers
If the total kinetic energy of a system of particles is positive, it suggests that the system has a non-zero total momentum.
In a system of particles, if the total kinetic energy is positive, it implies that the particles within the system are in motion. The total momentum of the system depends on the individual momenta of the particles and their respective masses.
Since the kinetic energy is positive, it indicates that the particles have non-zero velocities. In order for the total momentum to also be positive, the velocities of the particles must have a net direction. This means that the particles are either moving collectively in the same direction or their individual velocities are such that the sum of their momenta is positive.
In summary, if the total kinetic energy of a system of particles is positive, it suggests that the system has a non-zero total momentum, which indicates either a collective motion in the same direction or a combination of individual velocities that result in a positive net momentum.
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A car's gas tank contains 58.7 kg
of gasoline, which takes up
0.0814 m^3 of volume. What is
the density of the gasoline?
Answers
Answer:
721 kg/m^3
Explanation:
Trust me bro
(3 MARKS)
i.
A cyclist pedals his bicycle from rest and the wheels gain angular speed of 5
revs in 8 s. Later on, he stops pedalling and let the bicycle moves slowly before
comes to stop in 12 s. Determine the number of revolutions of the wheels.
comes stop in 12s. Determine the number of revolution of the wheels
Answers
A cyclist starts pedalling his bicycle from rest and achieves an angular speed of 5 revolutions in 8 seconds. Afterwards, he stops pedalling and lets the bicycle move slowly before coming to a complete stop in 12 seconds. The wheels complete approximately 8.75 revolutions in total during the entire motion.
To determine the total number of revolutions of the wheels, we need to consider both periods: acceleration and deceleration.
During the acceleration phase (0 to 8 seconds), the cyclist completes 5 revolutions. Now we need to calculate the number of revolutions during the deceleration phase (8 to 20 seconds).
Assuming uniform deceleration, the angular speed decreases linearly from 5 revolutions in 8 seconds to 0 revolutions in 12 seconds. The average angular speed during the deceleration phase can be calculated as (5 + 0) / 2 = 2.5 revolutions per 8 seconds.
Now, to find the number of revolutions in the 12-second deceleration period, we can use the proportion:
2.5 revolutions / 8 seconds = x revolutions / 12 seconds
Solving for x, we get:
x = (2.5 * 12) / 8 = 3.75 revolutions
Adding the revolutions during both phases, we get the total number of revolutions of the wheels:
5 revolutions (acceleration) + 3.75 revolutions (deceleration) = 8.75 revolutions
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how does the amount of strokes on a magnet affect the strength of it? Note- I'm NOT a high schooler. Simple answers please. I'm 11.
Answers
Answer:
how does the amount of strokes on a magnet affect the strength of it? Note- I'm NOT a high schooler. Simple answers please. I'm 11.
Explanation:
The amount of strokes on a magnet does not affect its strength. The strength of a magnet depends on the properties of the materials it is made of, such as the type of metal and the way it is magnetized. Once a magnet is magnetized, it will retain its strength unless it is exposed to high temperatures or strong magnetic fields that can demagnetize it.
1. An airplane flies with a constant speed of 720 km/h. How long will it take to travel a distance of 1500
kilometers?
Answers
Answer:
\(125\:\mathrm{minutes\: or\: }2.08\bar{3}\: \mathrm{hours}\)
Explanation:
Speed is given by \(s=\frac{d}{t}\), where \(d\) is distance travelled and \(t\) is time. Rearranging this equation, we have \(t=\frac{d}{s}\).
Plugging in our given information:
\(t=\frac{d}{s}=\frac{1500\:\mathrm{km}}{720\:\mathrm{km/h}}=2.08\bar{3}\: \mathrm{hours}\)
Thus, our answer is:
\(2.08\bar{3}\: \mathrm{hours}\cdot \frac{60\:\mathrm{minutes}}{1\:\mathrm{hour}}=\fbox{$125\:\mathrm{minutes}$}\)
Between periods at a hockey game, a machine called an ice resurfacer is used to smooth down the ice. Explain how this affects the speed of the players on the ice and why it has that effect.
Answers
Players can move more quickly and fall less frequently by minimising friction between the ice and their skates by smoothing the ice surface with an ice resurfacer.
How does a resurfacer for ice rinks operate?A mechanised ice resurfacer is called a Zamboni. It operates by scraping the snow off of the ice surface. The ice is then "cleaned" by pouring water upon it, which flushes any dirt or debris out of the deep grooves in the ice.
How much time passes between each period in ice hockey?An NHL hockey game typically lasts 60 minutes. Three 20-minute periods make up a game, with a rest period in between the first and second. While they could be shorter in other leagues, NHL intermissions last 18 minutes.
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Help me please with the steps
Answers
Answer:
Explanation:
I think it's wrong but I tried my best..
How long does it take an electron to radiate away half its energy while spiraling in a 7.0 T magnetic field
Answers
The time it takes for an electron to radiate away half of its energy while spiraling in a 7.0 T magnetic field is (1 / (2 * a)) * (\(E_{0}\)/ (P/2)),
It can be calculated using the equation for synchrotron radiation. Synchrotron radiation is the process by which charged particles lose energy while moving in a curved path in the presence of a magnetic field.
The equation for the power radiated by an electron due to synchrotron radiation is given by P = (4/3) * (e² * a² * c) / (6πε₀m_e), where e is the charge of the electron, a is its acceleration, c is the speed of light, ε₀ is the vacuum permittivity, and \(m_{e}\) is the mass of the electron.
To radiate away half its energy, the power radiated by the electron needs to be half of its initial power. Therefore, we can write P/2 = (4/3) * (e² * a² * c) / (6πε₀\(m_{e}\)).
Using the equation for centripetal acceleration, a = (e * B) / (\(m_{e}\)* c), where B is the magnetic field strength, we can substitute it into the equation above and solve for a.
Substituting the value for a into the equation and rearranging, we can find the time t it takes for the electron to radiate away half its energy:
t = (1 / (2 * a)) * (\(E_{0}\)/ (P/2)),
where \(E_{0}\) is the initial energy of the electron.
Note that the given value of the magnetic field strength (7.0 T) does not provide enough information to calculate the time accurately. The initial energy of the electron and its acceleration are needed to determine the exact time it takes for the electron to radiate away half its energy while spiraling in the magnetic field.
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what is the volume of an aluminum ball at 10°c if its volume at 160°c is 300cm3?
Answers
The volume of the aluminum ball is 297 cm³.
What is the volume of the aluminum ball?
The volume of an object changes with temperature, according to the law of linear thermal expansion.
The volume of the aluminum ball is calculated as follows;
V = V₀ ( 1 + 3αΔθ )
where;
V₀ is the initial volume of the aluminumα is the coefficient of linear expansion of aluminumV = 300 cm³ ( 1 + 3 x 23 x 10⁻⁶ x (-150 ) )
V = 297 cm³
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What will happen to the gravitational force when the distance between the centre of the two bodies is halved ?
Answers
Explanation:
when the distance between the 2 objects is halved, the gravitational force between the 2 objects is doubled. when the distance between the 2 objects is doubled then the gravitational force doubles.
In uniform circular motion, does the magnitude of the position vector with respect to the center of rotation change?
Answers
No, in uniform circular motion, the magnitude of the position vector with respect to the center of rotation dose not change. Since the radius of a circle is same in all directions, the magnitude of the position vector in a uniform circular motion with respect to the center of rotatation does not change.
What do we know about rotational motion?We talked about motion in a circle with constant speed and, consequently, constant angular velocity in the section on uniform circular motion. Nevertheless, rotational motion can occasionally speed up, slow down, or reverse directions, thus angular velocity is not always constant. When a person on a spinning skateboard pulls in her arms, when a youngster pushes a merry-go-round to make it revolve, or when a CD slows to a stop when it is turned off, the angular velocity is not constant. In each of these scenarios, the angular velocity varies, causing angular acceleration. The angular acceleration increases with the rate of change. The rate at which angular velocity changes is known as angular acceleration.
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To calculate the density of an object which of the following values do you need to know a. Buoyancy b. Volume c. Weight d. Mass
Answers
Answer: Volume and mass
Explanation: I took the quiz lol
When a +0.00235 C charge
moves from point A to point B, its
electric potential energy increases
by 0.418 J. What is the potential
difference between A and B?
Include the correct sign, + or - .
(Unit = V)
Answers
Answer:177.87
Explanation:
Women in Mathematics: Momentum (the product of mass and velocity) is conserved in a closed system. In the 1700s, Émilie du Châtelet was one of the first people to formulate and test a conservation law for what quantity that depends on an object's mass and the square of its speed? (A one-word answer will suffice.)?
Answers
Answer:
Energy.
Explanation:
Émilie du Châtelet is known for her work in physics and mathematics in the 1700s, during a time when women were not typically involved in these fields. One of her most significant contributions was her translation and commentary on Isaac Newton's "Principia Mathematica," which helped to spread Newton's ideas throughout Europe.
In her own research, Émilie du Châtelet made significant contributions to the understanding of energy and conservation laws. Specifically, she formulated and tested a conservation law for what she called "living force," which we now understand as kinetic energy. This quantity depends on an object's mass and the square of its speed, and is conserved in a closed system, just like momentum. Her work laid the foundation for the modern concept of energy conservation, which is a fundamental principle in physics.
The modern concept of energy conservation and helped establish the importance of mathematics in physics.
Émilie du Châtelet formulated and tested the conservation law for kinetic energy, which is the quantity that depends on an object's mass and the square of its speed. Kinetic energy is the energy an object possesses due to its motion, and it is defined as one-half the product of an object's mass and the square of its velocity, or KE = 1/2mv².
Before Châtelet, the concept of energy was not well-defined, and many scientists believed that the total amount of motion in a closed system was conserved. Châtelet, however, recognized that kinetic energy is distinct from momentum and that energy can be transformed from one form to another, but it cannot be created or destroyed.
To test her theory, Châtelet performed experiments in which she dropped balls from various heights and measured their velocities upon impact. She found that the total energy of the system (the sum of the kinetic energy of the ball and the potential energy due to its height) was conserved throughout the process, even though the ball's momentum changed due to the force of gravity.
Châtelet's work laid the foundation for the modern concept of energy conservation and helped establish the importance of mathematics in physics.
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Question 1 (1 point)
All solid objects will deform when enough force is applied.
O True
False
Answers
Answer:
Solid objects will deform when adequate loads are applied to them; if the material is elastic, the object will return to its initial shape and size after removal. This is in contrast to plasticity, in which the object fails to do so and instead remains in its deformed state.
Explanation:
Answer:
It is false
Explanation:
because when it like a rolling ball it can deform no matter what unlesss you throw it at the ground really hard then it breaks but a soft or sometimes metal yeah it can deform but not all things solid deform.