The speed of the resulting 50 g blob of clay is 1.016 m/s, and its direction is eastward. The resulting 50 g blob of clay is traveling eastward at a speed of 1.016 m/s.
When solving a problem involving momentum, it is necessary to take into account both the magnitude and direction of the velocity of each object involved. Given the masses and velocities of each ball of clay, we can calculate their momenta and then use the principle of conservation of momentum to find the velocity of the resulting 50 g blob of clay. Here's how we can do it:
First, we calculate the momenta of each ball of clay using the formula p = mv, where p is the momentum, m is the mass, and v is the velocity:
Momentum of 20 g ball of clay = (0.020 kg)(2.0 m/s) = 0.040 kg m/s, eastward
Momentum of 30 g ball of clay = (0.030 kg)(1.0 m/s)(cos 30°, westward) + (0.030 kg)(1.0 m/s)(sin 30°, southward)
= 0.0260 kg m/s, westward + 0.0150 kg m/s, southward
= 0.0260 kg m/s westward - 0.0150 kg m/s northward (since southward is negative)
Note that we resolved the momentum of the 30 g ball of clay into its x- and y-components using trigonometry.
Next, we add the momenta of the two balls of clay to get the total momentum of the system:
Total momentum = 0.040 kg m/s eastward + 0.0260 kg m/s westward - 0.0150 kg m/s northward
= 0.040 kg m/s + 0.0117 kg m/s eastward
Note that we resolved the total momentum into its x- and y-components, and that the y-component is very small compared to the x-component, so we can ignore it.
Finally, we divide the total momentum by the total mass of the system (50 g = 0.050 kg) to get the velocity of the resulting 50 g blob of clay:
Velocity of 50 g blob of clay = (0.040 kg m/s + 0.0117 kg m/s)/0.050 kg
= 1.016 m/s, eastward
So the speed of the resulting 50 g blob of clay is 1.016 m/s, and its direction is eastward. Therefore, the resulting 50 g blob of clay is traveling eastward at a speed of 1.016 m/s.
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a 100g apple is falling from a tree. what is the impulse that earth exerts on it during the first 0.50 s of its fall
Answer:
0.49N*s
Explanation:
First we need to calculate the velocity using the formula [ v = at ].
v = 9.8 * 0.50
v = 4.9m/s
Convert 100g to kg.
100 / 1000 = 0.1kg
Now we can calculate the momentum using the formula [ p = mv ].
p = 0.1 * 4.9
p = 0.49N*s
Best of Luck!
Two different analytical tests can be used to determine the impurity level in steel alloys. Eight specimens are tested using both procedures, and test results are shown in the following tabulation along with summary statistics. Specimen Test 1 Test 2 Difference 1 1.2 1.4 -0.2 1.3. 1.7 -0.4 1.5 0 n Mean. Variable Test 1 StDev 0.207 Variance 0.0429 1.3 0.1 1.45 2 -0.3 Test 2 8 1.6625 0.2774 0.077 2.1 -0.3 Difference 8 -0.2125 0.1727 0.0298 1.7 -0.3 8 1.3 1.6 -0.3 a. Do we have paired data? b. Is there evidence to support the claim that test 1 generates a mean difference 0.1 units less than test 2? (1) Write the null hypothesis (ii) Write the alternative hypothesis (iii) Use 95% one-sided confidence interval to test hypothesis (iv) Can we reject the null hypothesis at a 0.05 level of significance? Explain M (v) Write any assumptions required to develop confidence interval in part (iii) 2 3 14 5 7 1.5 1.4 1.7 1.8 1.4 8
Yes, we have paired data because each specimen was tested using both procedures (Test 1 and Test 2).
(i) Null hypothesis (H0): The mean difference between Test 1 and Test 2 is not 0.1 units less.
(ii) Alternative hypothesis (Ha): The mean difference between Test 1 and Test 2 is 0.1 units less.
To test this claim, we will use a one-sided 95% confidence interval.
Mean difference = 0.1 units
Standard deviation of the difference = Standard deviation of Test 1 - Standard deviation of Test 2
Mean of Test 1 (M1) = 1.3
Mean of Test 2 (M2) = 1.6625
Standard deviation of Test 1 (S1) = 0.207
Standard deviation of Test 2 (S2) = 0.2774
Sample size (n) = 8
Standard deviation of the difference:
SD_diff = \(\sqrt{(S1)^{2} /n+ (S2)^{2}/} n\\\\)
SD_diff =\(\sqrt{(0.207)^{2}/8 +(0.2774)^{2}/8 }\)
SD_diff = 0.1727
Standard error (SE) of the difference:
SE_diff = SD_diff / sqrt(n)
= 0.1727 / sqrt(8)
SE_diff = 0.0611
The one-sided 95% confidence interval for the mean difference is calculated as follows:
Lower limit = Mean difference - (1.645 * SE_diff)
Upper limit = Mean difference
Lower limit = 0.1 - (1.645 * 0.0611)
Lower limit = 0.1 - 0.1004
Lower limit = -0.0004
Since the lower limit of the one-sided 95% confidence interval (-0.0004) is greater than 0, we fail to reject the null hypothesis at a 0.05 level of significance. There is insufficient evidence to support the claim that Test 1 generates a mean difference 0.1 units less than Test 2.
(v) Assumptions required to develop the confidence interval:
1. The data follows a normal distribution.
2. The paired observations are independent of each other.
3. The standard deviations of Test 1 and Test 2 are representative of the population standard deviations.
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A 2.0 Ω resistor is connected across a 6.0 V power supply. An ammeter with internal resistance of 1.0 Ω is used to measure the current in this circuit. What is the ammeter reading?
Ammeter with internal resistance of 1.0 Ω, gives reading of 2.0 A.
To determine the ammeter reading, calculate the total resistance of the circuit and then use Ohm's law to find the current.
The total resistance of the circuit is the sum of the resistance of the 2.0 Ω resistor and the internal resistance of the ammeter, which gives,
R_total = R_1 + R_ammeter = 2.0 Ω + 1.0 Ω = 3.0 Ω
Using Ohm's law, calculate the current in the circuit,
I = V / R_total
where V is the voltage of the power supply.
Substituting the given values,
I = 6.0 V / 3.0 Ω = 2.0 A
Therefore, the ammeter reading is 2.0 A.
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Why do scientists believe that light is made of streams of particles?
Sample Response: Scientists believe that light is made of streams of particles because only the presence of photons can explain phenomena observed during experiments on the photoelectric effect. These observations include only some frequencies of light causing the ejection of electrons, no time gap existing between light striking a metal and electrons being ejected, and intensity having no effect on the kinetic energy of the ejected electrons.
Scientists believe that light is made of streams of particles, called photons, because of their observed behavior. In certain experiments, such as the photoelectric effect, it was found that light behaves more like a particle than a wave. For example, light can knock electrons out of atoms, which would require a particle-like behavior. Additionally, the energy of each photon is directly proportional to its frequency, which is a characteristic of particles. The behavior of light in other experiments, such as the double-slit experiment, can also be explained by the wave-like behavior of photons. Therefore, scientists have concluded that light has both particle and wave-like properties, known as wave-particle duality.
While this answer may provide helpful information for your assignment, it is important to remember that using it verbatim could be seen as plagiarism. To avoid this, it is best to use your own words and properly cite any sources used. This will ensure that you are giving credit to the original author and presenting your own unique perspective on the topic.
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If a bowling ball weighing 3,630 g is accelerating down the alley at a rate of 4 m/s2, then what is the net force applied to the bowling ball?
Answer:
\(\huge\boxed{\sf F = 14.52\ N}\)
Explanation:
Given data:Mass = m = 3,630 g = 3.63 kg
Acceleration = a = 4 m/s²
Required:Force = F = ?
Formula:F = ma
Solution:Put the given data in the above formula.
F = (3.63)(4)
F = 14.52 N\(\rule[225]{225}{2}\)
A 60kg bowling ball collides with a 0.005kg bee with a force of 0.02N. The force the bee exerts is
Answer:
0.02N
Explanation:
According to Newton's 3rd Law of motion, the bee exerts the same force on the bowling ball as the bowling ball exerts the force on the bee.
We have that for the Question "A 60kg bowling ball collides with a 0.005kg bee with a force of 0.02N. The force the bee exerts is" it can be said that The force the bee exerts is
F=0.02N
From the question we are told
A 60kg bowling ball collides with a 0.005kg bee with a force of 0.02N. The force the bee exerts is
Generally the Newtons equation for Motion is mathematically given as
This law perceives two bodies who collide as having forces which are equal as the magnitudes in opposite directions
Therefore
V^2= 2as
Hence
The force the bee exerts is
F=0.02N
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discuss lenz's law and its application in determining the direction of induced current in a conductor
Lenz's law is a fundamental principle in electromagnetism that describes the direction of the induced current in a conductor when it is subjected to a changing magnetic field.
The law states that the direction of the induced current is such that it opposes the change in the magnetic field that caused it. In other words, if a conductor is placed in a changing magnetic field, the electrons in the conductor will be induced to move in a direction that will create a magnetic field that opposes the original magnetic field. This creates a circular flow of electric current in the conductor that is called an induced current.
The direction of the induced current is determined by the right-hand rule, which states that if the thumb of the right hand is pointed in the direction of the original magnetic field and the fingers are curled in the direction of the induced current, the thumb will point in the direction of the induced current.
Lenz's law has many important applications in electrical engineering, including in the design and operation of electric motors, generators, and transformers. For example, in an electric motor, the induced current in the rotor creates a magnetic field that interacts with the magnetic field of the stator to produce torque and cause the motor to rotate. In a generator, the induced current in the stator creates a magnetic field that interacts with the rotor to produce electrical energy.
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A person exerts a force on a box that is at rest on the Earth. The arrows
in the diagrams shown represent the direction of the applied force. Does
the gravitational potential energy of the box change in case A?
Gravity operates as the action force, pulling the book toward the table, and the normal force of the table, acting as the reaction force, pushing the book higher.
What is meant by gravitational potential energy?A massive object's potential energy in relation to another massive object because of gravity is known as gravitational energy or gravitational potential energy. The energy that is released when the items fall toward one another is the potential energy associated with the gravitational field.
The potential energy associated with gravitational force is known as gravitational energy because it takes effort to lift items out of the gravitational pull of the Earth. Water in an elevated reservoir or kept behind a dam is evidence of gravitational potential energy, which is the potential energy resulting from elevated locations.
The book is being pulled toward the table by gravity, which acts as the action force, and is being pushed upward by the table's normal force, which acts as the reaction force.
When an object is present in a gravitational field, it has or can acquire gravitational potential energy, which is the energy that results from a change in position. Gravitational potential energy is an energy that is connected to gravitational force or gravity, to put it simply.
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Which is an example of kinetic energy?
a. an archer's bow with the string drawn back
b.river water at the top of a waterfall
c. a Ferris wheel before it starts turning
d.a crumb falling from a table.
Answer:
it's a
Explanation:
Answer:
I believe its D!
Explanation:
Kenetic energy is motion
The compound magnesium phosphate has the chemical formula Mg3(PO4)2. In this compound, phosphorous and oxygen act together as one charged particle, which is connected to magnesium, the other charged particle.
The question is incomplete, the complete question is;
The compound magnesium phosphate has the chemical formula Mg3(PO4)2. In this compound, phosphorus and oxygen act together as one charged particle, which is connected to magnesium, the other charged particle. What does the 2 mean in the formula 5Mg3(PO4)2? A. There are two elements in magnesium phosphate. B. There are two molecules of magnesium phosphate. C. There are two magnesium ions in a molecule of magnesium phosphate. D. There are two phosphate ions in a molecule of magnesium phosphate.
Answer:
There are two phosphate ions in a molecule of magnesium phosphate.
Explanation:
The compound magnesium phosphate is an ionic compound. Ionic compounds always consists of two ions, a positive ion and a negative ion.
In this case, the positive ion is Mg^2+ while the negative ion is PO4^3-.
The subscript, 2 after the formula of the phosphate ion means that there are two phosphate ions in each formula unit of magnesium phosphate.
Question # 6
Multiple Choice
Which of the following explains why James, who operates an apple orchard that sells a very rare type of gourmet apple, would probably
choose NOT to participate in contract production?
O Because he independently grows a unique product, he is already locked in to the best price of the market.
He operates as a price-taker, that so there is no need to contract.
His rare commodity offers an increased cash flow and an expansion of operation.
As a seller of a rare commodity he is in a position to negotiate higher prices than commodity food producers.
The statement that explains why James, who operates an apple orchard that sells a very rare type of gourmet apple, would probably choose not to participate in contract production is because he independently grows a unique product, he is already locked in to the best price of the market (option A).
What is contract manufacturing?Contract manufacturing or production occurs when a small business hires another company to produce its products.
This enables small business individuals to begin selling their products without obtaining the large amount of capital necessary to build and run a factory.
However, according to this question, James is a business individual who operates an apple orchard that sells a very rare type of gourmet apple.
Therefore, James would not need to participate in contract production because he independently grows a unique product, he is already locked in to the best price of the market.
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Which of the following planets or moons has an atmosphere consisting mainly of Hydrogen and Helium with some methane?
A) Venus
B) Saturn
C) Titan
D) Uranus
Saturn is the following planet or moon, and its atmosphere is primarily made of hydrogen with a small amount of methane.
The correct answer is B
What makes Saturn the best planet?The planet Saturn is incredibly large and its rings make it incredibly gorgeous. Amazing moons as Titan reside there as well. The Solar System's Saturn is arguably the most popular and stunning planet. Compared to the rings of other planets, Saturn's are much larger and easier to see.
Where could we possibly live?Then, only a year ago, researchers found a second Earth-like planet around Proxima Centauri, one of our nearest nearby stars. The best option we now have for maintaining human life is this planet.
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On an ECG machine that meets the international standard, the paper moves at ________.
a. 25 mm/second
b. 10 mm/second
c. 25 mm/minute
d. 10 cm/minute
On an ECG machine that meets the international standard, the paper moves at 25 mm/second.
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Which of the following theories argues that our life-friendly universe is best explained by an intelligent Designer?
A.) Intelligent design
B.) Progressive creationism
C.) Scientific naturalism
D.) Theistic evolution
Answer:
I think it's c but don't quote me on it
all activities begin in which energy pathway?
Answer: Phosphagen Pathway
Explanation:
is the first energy source called upon at the beginning of any exercise program or in burst movements that are too quick for other systems to be called into action
The All activities in the human body begin with the energy pathway known as cellular respiration.
Cellular respiration is the process by which cells convert the energy stored in food molecules, such as glucose, into a form that can be used by the body. This process takes place in the mitochondria, the powerhouses of the cell. There are two main stages of cellular respiration: glycolysis and the citric acid cycle.
Glycolysis is the breakdown of glucose into two pyruvate molecules and the generation of a small amount of ATP. This stage takes place in the cytoplasm and does not require oxygen.
The citric acid cycle, also known as the Krebs cycle or the tricarboxylic acid cycle, takes place in the mitochondria and generates a large amount of ATP. During this cycle, the pyruvate molecules produced in glycolysis are converted into acetyl-CoA, which enters the citric acid cycle. The citric acid cycle produces high-energy electrons, which are used to generate ATP through oxidative phosphorylation.
The final stage of cellular respiration is the electron transport chain, which takes place in the inner membrane of the mitochondria. In this stage, the high-energy electrons produced in the citric acid cycle are transferred along a series of proteins, generating a proton gradient that drives the production of ATP.
In summary, cellular respiration is a complex and essential process that allows cells to generate the energy needed for all their activities, from muscle contractions to brain function.
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In the universe there are more small stars than large stars. Do you think there are more white dwarfs or black holes? Explain your answer.
Answer: black holes
Explanation:
Below is the velocity function, in feet per second, for a particle moving along a straight line. Find (a) the displacement and (b) the total distance that the particle travels over the given interval.
v(t) = t³ 13t2 + 47t-35 1≤t≤7
(a) Displacement: 36
(b) Total distance:
Given function isv(t) = t³ +13t²+47t-35and time interval is 1≤t≤7. We have to calculate:
(a) Displacement
(b) Total Distance
(a) Displacement:
Displacement is defined as the shortest distance between initial and final points. We can find the displacement of a particle with the help of following formula:
Displacement = Final Position - Initial PositionHere, the particle moves along a straight line, and we don't know the initial and final position. Thus, the displacement of the particle is 219 ft.(b) Total Distance:Total distance traveled by the particle is the sum of all the distances covered by it in different intervals.
Thus, we have two real roots of the given equation:t₁
≈ - 6.548t₂
≈ 0.215
Therefore, ∫|v(t)|dt = 309
As we have to find the total distance, we have to add both the cases. Therefore,
Total Distance =∫|v(t)|dt [from 1 to 7]
=∫|v(t)|dt [from 1 to 7]
=∫|v(t)|dt (from 1 to 1.215) +|v(t)|dt (from 1.215 to 7) = 252 + 309= 561 ft Thus, the total distance traveled by the particle is 561 feet.
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What is the weight of a box with a mass of 150 kg on Earth?
N
Use g= 9.81 m/s2 and do not include units in your answer.
Answer:
W = M g = 150 kg * 9.81 m/s^2 = 1470 N
You were only given 3 significant figures in the question.
The weight of the box is 1471.5 N.
What is weight?In science and engineering, an object's weight is defined as the force of gravity acting on the thing. Weight is sometimes described as a vector quantity in common textbooks, denoting the gravitational force acting on the item.
Given parameters:
Mass of the box, m = 150 kg.
Acceleration due to gravity, g = 9.8 m/s².
Hence, weight of the box is, W = mg = 150 kg × 9.81 m/s² =1471.5 N.
SO, weight of the box with a mass of 150 kg on Earth is 1471.5 N.
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There are two groups of earthworms on the sidewalk. One group is on a shady, moist area on the sidewalk, and they are moving. The other group is on a very sunny, dry area of the sidewalk, and none of the worms in this group are still living.
What question could be asked to investigate the reason for these observations?
A. What kind of living environment do earthworms need?
B. How do earthworms get on the sidewalk?
C. Why do earthworms crawl?
D. What kinds of birds eat earthworms?
A.
Smooth-skinned earthworms have a body made up of numerous tiny segments. The lines designating the segments are visible on the body. Each segment possesses tiny, stiff hairs that aid in the worm's movement; occasionally, the hairs are difficult to perceive. They lack a skeleton yet have a large number of muscles.
B.
Because they lack lungs, earthworms breathe through their skin. For dissolved oxygen to enter their bloodstream, their skin must be damp. The mucus-coated skin of earthworms makes them dependent on a wet, moist environment to survive.
C.
The earthworm's characteristic crawling movement is caused by the action of muscles in the body wall. These lengthen and shorten the body in wavelike motions. Four pairs of tiny hard bristles on each segment help the worm grip the ground and hold onto the side of the burrow.
D.
Blackbirds, robins, and song thrushes are ground feeders, and for them, a worm is the only food that compares to it in taste. Large eyes and powerful bills let all of them to see in the early morning light, when earthworms are most active close to the surface. Their strong bills also allow them to pull struggling earthworms from the soil.
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Consider an object launched upward against the force of
gravity. What is the velocity of the object at the moment it
reaches its the maximum height?
Answer:
Zero
Explanation:
When it reaches max height, it stops and begins to fall back down....at this point the velocity = 0
Consider a 120 V AC microwave oven that draws 8.5 A. Randomized Variables I = 8.5 A d What is the maximum instantaneous power consumption, in kilowatts, of the microwave? Pot
The maximum instantaneous power consumption of the 120 V AC microwave oven that draws 8.5 A is 1.02 kW
The maximum instantaneous power consumption of the microwave can be calculated using the formula
P = VI, where P is power in watts, V is voltage in volts, and I is current in amperes.
Therefore, the maximum instantaneous power consumption of the microwave can be calculated as follows:
P = 120 V x 8.5 A = 1020 watts
To convert wats to kilowatts, we divide by 1000, so the maximum instantaneous power consumption of the microwave in kilowatts is:
P = 1020 watts / 1000 = 1.02 kW
Hence, the maximum instantaneous power consumption of the 120 V AC microwave oven that draws 8.5 A is 1.02 kW, which can be calculated using the theory of power being equal to voltage multiplied by current.
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is carbon dioxide a element?
Answer:
Carbon Dioxide is a compound and not an element.
Answer:
Carbon dioxide is a compound.
Explanation:
Elements are when you only have one type of atom that makes it up. Carbon dioxide is made up of two different types of atoms.
A 6.2 kg sloth hangs from a tree branch that is 12.3 m above the ground. What is the potential energy of this sloth? [PE= mgh] Gravity= 9.8 m/s2
Answer:
Ep =mgh
Ep=(6.2)(9.8)(12.3)
Ep=747.35 J
Fill in the blank: A _____________ circuit is when there is only one path to and from the power source.
Answer:
Series.
Explanation:
Ohm's law states that at constant temperature, the current flowing in an electrical circuit is directly proportional to the voltage applied across the two points and inversely proportional to the resistance in the electrical circuit.
Mathematically, Ohm's law is given by the formula;
\( V = IR\)
Where;
V represents voltage measured in voltage.
I represents current measured in amperes.
R represents resistance measured in ohms.
A series circuit is when there is only one path to and from the power source. Thus, the amount of current flowing through the circuit is the same while the voltage is given by the summation of each voltage across each component in the electrical circuit.
95 cm = ________________ m
Will give brainlists
Unit 1 Test Physical Science need this to help my grade
Answer:
0.95 metre
Explanation:
divide the value in centimeters by 100 because 1 meter equals 100 centimeters.
So, 95 centimeters = 95/100
= 0.95 meter.
what two things does the strength of gravity depend on?
Answer:
i found this i hope it helps
Explanation:
The magnitude of this force depends upon the mass of each object and the distance between the centers of the two objects. Mathematically, we say the force of gravity depends directly upon the masses of the objects and inversely upon the distance between the objects squared.
Two athletes are competing in upcoming competitions, a weightlifting meet and a marathon. which energy systems will each be primarily using, respectively?
Answer:
Explanation:
How did media attention affect Barack Obama's presidential performance?(A)(B)(C)(D)He made a concerted effort to listen to Congress' concerns about his policies.He decided to go on Fox News in an attempt to win over Republican voters.He started traveling the country to give speeches about his policy goals.He began meeting in private with Speaker of the House Nancy Pelosi.
Two athletes are competing in upcoming competitions, a weightlifting meet and a marathon. phosphagen and oxidative energy systems will each be primarily used, respectively.
As it is in charge of high-intensity, brief-duration activity, the phosphagen energy systems generate energy for jumping and sprinting. The quickest and most effective energy producer in muscle activity. Phosphagen metabolism is demonstrated by this system. It uses creatine phosphate to produce ATP (adenosine triphosphate, the chemical which provides energy for all body processes).
Energy is produced by the oxidative energy systems using 30% and 70% of carbs and lipids, respectively. When done for at least 150 minutes a week, aerobic exercise enables the body to experience physiological and health benefits.
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If Bulb B burns
out, what happens?
A Bulb A and C will stay lit.
Answer: C
Explanation:
Since bulb B is burnt out, the wires can't transfer to bulb A, so that's why bulb A will burn out.
If I get it wrong, sorry. Im still learning.
what is conserved for each of the following wind dynamics laws?a) momentum equationb) first law of thermodynamicsc) continuity equation
a) In the momentum equation, the quantity that is conserved is momentum. Momentum is the product of mass and velocity and represents the quantity of motion. According to the momentum equation, the total momentum of a system remains constant unless acted upon by external forces. This principle is known as the law of conservation of momentum.
b) The first law of thermodynamics, also known as the law of energy conservation, states that energy cannot be created or destroyed but can only be transferred or converted from one form to another. In the context of the first law of thermodynamics, the conserved quantity is energy. The total energy of a closed system remains constant, and any energy transfer or transformation within the system is balanced by an equal and opposite energy transfer or transformation.
c) The continuity equation deals with the conservation of mass or fluid flow. It states that the mass flow rate remains constant within a closed system or a steady flow process. In other words, the rate at which mass enters a system is equal to the rate at which mass exits the system. This principle ensures the conservation of mass and is applicable to various fluid dynamics phenomena, such as fluid flow through pipes or channels.
In summary, the conserved quantities in the wind dynamics laws are momentum in the momentum equation, energy in the first law of thermodynamics, and mass in the continuity equation.
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why do some objects fall faster than others?
Answer:
Weight and Mass !!!!!!
Explanation:
Galileo discovered that objects that are more dense, or have more mass, fall at a faster rate than less dense objects, due to this air resistance. A feather and brick dropped together. Air resistance causes the feather to fall more slowly.