At time t1 = 2.00 s, the acceleration of a particle in counterclockwise circular motion is (7.00 m/s^2) i + (8.00 m/s^2) j. It moves at constant speed. At time t2 = 5.00 s (3/4 of a revolution later), its acceleration is (8.00 m/s^2) i + (-7.00 m/s^2) j. What is the radius of the path taken by the particle?
Answers
The magnitude of the change in velocity is approximately 38.81 m/s, and the direction is approximately -75.96°.
Let's denote the initial velocity at \(t_1\) as \(v_1\) and the final velocity at \(t_2\) as \(v_2\).
To find \(v_1\), we integrate \(a_1\) with respect to time from 0 to \(t_1\):
\(v_1\) = ∫(a1) dt = ∫((\(7.00 m/s^2\))i + (\(8.00 m/s^2\))j) dt
Integrating with respect to time:
\(v_1 = (7.00 m/s^2)(t_1) i + (8.00 m/s^2)(t_1) j\)
Substituting the value of \(t_1\):
\(v_1 = (7.00 m/s^2)(2.00 s) i + (8.00 m/s^2)(2.00 s) j \\v_1 = (14.00 m/s)i + (16.00 m/s)j\)
Similarly, to find \(v_2\), we integrate \(a_2\) with respect to time from \(t_1\) to \(t_2\):
\(v_2\) = ∫(\(a_2\)) dt = ∫((\(8.00 m/s^2\))i + (-\(7.00 m/s^2\))j) dt
Integrating with respect to time:
\(v_2 = (8.00 m/s^2)(t_2 - t_1) i + (-7.00 m/s^2)(t_2 - t_1) j\)
Substituting the values :
\(v_2 = (8.00 m/s^2)(5.00 s - 2.00 s) i + (-7.00 m/s^2)(5.00 s - 2.00 s) j\)
\(v_2 = (8.00 m/s^2)(3.00 s) i + (-7.00 m/s^2)(3.00 s) j\)
\(v_2 = (24.00 m/s)i + (-21.00 m/s)j\)
Now, we can calculate the change in velocity, Δv, by subtracting \(v_1\) from \(v_2\):
Δv =\(v_2 - v_1\)
Δv = (24.00 m/s)i + (-21.00 m/s)j - (14.00 m/s)i - (16.00 m/s)j
Δv = (24.00 m/s - 14.00 m/s)i + (-21.00 m/s - 16.00 m/s)j
Δv = (10.00 m/s)i + (-37.00 m/s)j
The magnitude of the change in velocity, |Δv|, is given by:
|Δv| = \(\sqrt{((10.00 m/s)^2 + (-37.00 m/s)^2)\)
Calculating this, we find:
|Δv| ≈ 38.81 m/s
The direction of the change in velocity can be determined using the arctan function:
θ = arctan((-37.00 m/s) / (10.00 m/s))
Calculating this, we find:
θ ≈ -75.96°
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--The complete Question is, A particle moves in counterclockwise circular motion at a constant speed. At time t1 = 2.00 s, the acceleration of the particle is (7.00 m/s^2) i + (8.00 m/s^2) j. Three-fourths of a revolution later, at time t2 = 5.00 s, the acceleration of the particle becomes (8.00 m/s^2) i + (-7.00 m/s^2) j.
What is the magnitude and direction of the change in velocity of the particle between t1 and t2? --
Related Questions
If a child pulls a sled through the snow with a force of 50 N exerted at an angle of 38° above
the horizontal, find the horizontal and vertical components of the force.
Answers
Answer: The horizontal component of the force is 47.754 N and the vertical component of the force is 14.818N.
Explanation:
An airplane passenger carries a 215-N suitcase up the stairs, a
displacement of 4. 20 m vertically and 4. 60 m horizontally.
A) How much work does the passenger do on the suitcase?
B) The same carries the same suitcase back down the same set of stairs. How much work does the passenger do on the suitcase to carry it down the stairs?
Answers
The total work done by the passenger on the suitcase is 1641J and the amount of work the passenger does on the suitcase to carry it down the stairs will also be 1641J.
A) The work done by the passenger on the suitcase can be calculated using the formula Work = Force x Distance. In this case, the force is the weight of the suitcase, which is 215N, and the distance is the total displacement of the stairs, which is 4.20 m vertically and 4.60 m horizontally. The total work done on the suitcase is thus
215N x (4.20 m + 4.60 m) = 1641 J.
B) The work done by the passenger on the suitcase to carry it back down the stairs is the same as when they carried it up the stairs:
=1641 J.
This is because the work done depends only on the force and distance, not on whether the motion is up or down. The force and distance are the same in this case.
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1) A point charge (q1) has a magnitude of 3.0 x10-6 C. A second charge (q2) has a magnitude of -1.5 x10-6 C and is located 0.12 m from the first charge. Determine the electrostatic force each charge exerts on the other.
2) what will happen to the force in question 1 if the charge on q1 is doubled? Be specific in your answer - don't just say that it will increase or decrease - say how much it will increase by and give an explanation with your answer.
3) what will happen to the force in question 1 if the DISTANCE between q1 AND q2 is doubled?
Answers
1)The electrostatic force each charge exerts on the other is 2.812 N.
2) The electrostatic force if the charge on q1, doubled is 5.624 N.
3) The electrostatic force if the distance between charges, doubled is 0.703 N
What is electrostatic force?The electrostatic force F between two charged objects placed distance apart is directly proportional to the product of the magnitude of charges and inversely proportional to the square of the distance between them.
F = kq₁q₂/d²
where coulomb constant, k = 9 x 10⁹ N.m²/C²
1) Given is a point charge (q1) has a magnitude of 3.0 x10⁻⁶ C. A second charge (q2) has a magnitude of -1.5 x10⁻⁶ C and is located 0.12 m from the first charge.
F = 9 x 10⁹x 3.0 x10⁻⁶x1.5 x10⁻⁶ / (0.12)²
F = 2.812 N
Thus, the electrostatic force each charge exerts on the other is 2.812 N.
2) When the charge q1 is doubled, new force will be
F' = 9 x 10⁹x (2 x3.0 x10⁻⁶)x1.5 x10⁻⁶ / (0.12)²
F = 2 x F
F' =2 x2.812 N
F' = 5.624 N
Thus, the electrostatic force if the charge on q1, doubled is 5.624 N.
3) If the distance between them is doubled without altering their charges, the force between them becomes
New force will be
F'' = 9 x 10⁹x 3.0 x10⁻⁶x1.5 x10⁻⁶ / (2 x 0.12)²
F'' = F/4
F'' =2.812 /4
F'' = 0.703 N
Thus, the electrostatic force if the distance between charges, doubled is 0.703 N
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You are sitting in a chair on an elavator. The elavator accelerates downward, you and the chair land on the cround with the chair landing first and then you on the chair.
Explain the Net Forces at 3 points for each object
The points are: Before the Elevator Accelerates Downward, In Freefall, At Impact
Analyze whether the Normal Force would need to increase, and where the direction of the net force is for each object.
Answers
Answer:
fdsbgdfshtrsnbfgsbnhgr
Explanation:
cdfrgresgtrshtrwhtrwhtwjhdgngdabfeahydrtgnb
What is the efficency of a sertain engine whose hot resevoir is 700 celsius and the cold reservoir is 230 celsius
Answers
The efficiency of a certain engine can be determined using the Carnot Cycle equation. The efficiency of an engine is proportional to the difference in temperature between the hot reservoir and the cold reservoir.
The efficiency can be calculated using the following formula:
η = (Th - Tc) / ThWhere,η = efficiency of the engine
Th = temperature of the hot reservoir
Tc = temperature of the cold reservoir
Given that the temperature of the hot reservoir is 700°C and the temperature of the cold reservoir is 230°C.
Therefore,η = (700 - 230) / 700η = 0.67The efficiency of the engine is 0.67 or 67%. In other words, only 67% of the heat energy is converted into mechanical energy while the remaining 33% is lost as waste heat.
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Which of the following is an example if an unbalanced force
A. a computer on a table
B. a man leaning against a wall
C. a girl severing a volleyball
D. fruit in a ball
Answers
Answer:
C
Explanation:
I would have to say C because the girl is constantly moving in the act of serving the volleyball.
Science is a hands. on class. this is for safety in a lap
Answers
Answer:
Science is also a dog because sometimes it can can be nice such as a flower growing or the pretty flower turning into a flower that can attack you
Explanation:
Which term best describes how fast and in what direction an object is moving at a particular moment? Question 2 options: acceleration average velocity position instantaneous velocity
Answers
Answer:
Instantaneous velocity
Explanation:
Acceleration = rate of change of velocity
Average velocity = total displacement divided by total time taken
Position = It shows the location of the object
Instantaneous velocity = It is the velocity of an object at a particular instant.
The term that describes how fast and in what direction an object is moving at a particular moment is "instantaneous velocity". It is basically equal to the derivative of position wrt time.
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in which month would you LEAST likely expect a hurricane?
A ) July
B ) August
C ) October
D ) February
Answers
Answer:
July
Explanation:
In july you would expect least hurricane
Susan makes the following entry in her notebook: “On Friday we were given a blue liquid in a shallow container. We placed it on the windowsill over the weekend. On Monday morning, there was no liquid left, but the dish had some solid blue stuff in it.”
a. Was the blue liquid in the dish a heterogenous mixture, a solution, or a pure substance? Explain your choice.
b. Write a few sentences about what you think happened in the dish.
Answers
Answer:
Explanation:
a. From the information provided in the question, the blue liquid is a solution. This is because a solution is a type of homogeneous mixture (that has an evenly distributed solute in a solvent) which is the reason the liquid was said to be blue (and not immiscible blue solid in a liquid) but after been exposed to heat became just a blue solid. Typically, a solution has a solute and a solvent (combined), the solute here is the blue solid while the solvent is the liquid that made the combination a liquid.
b. Since the dish containing the liquid was placed on a windowsill, it can be assumed that the dish was subjected to heat from the sun which caused the liquid (in the solution) to evaporate after exposure to the heat from the sun (over the weekend) leaving the blue solid solute (of the solution) to remain in the dish. This can be referred to as evaporation to dryness in separation techniques (if the goal was to intentionally separate the solid solute from the liquid solvent).
A ball of 5.2 kg is swung around on a rope with a radius 0.86 meters. If the ball is traveling at 1.8 m/s, what is its angular momentum
Answers
The angular momentum of the ball that has a mass of 5.2 kg and is swung around a rope with a radius of 0.86 meters at a speed of 1.8 m/s is approximately 7.24 kg m²/s.
We know that angular momentum is the product of an object's rotational inertia and rotational speed or angular velocity. The equation for angular momentum is:L = IωWhere L is angular momentum, I is rotational inertia, and ω is angular velocity. Since the ball is moving in a circular path, we need to use the formula for rotational inertia of a point mass: I = mr², where m is the mass of the ball and r is the radius of the circle.The angular velocity ω can be calculated from the linear speed v using the formula v = rω, which gives ω = v/r. Substituting these values into the equation for angular momentum, we get:L = Iω = (mr²)(v/r) L = 5.2 kg x 0.86 m x 1.8 m/s = 7.24 kg m²/sTherefore, the angular momentum of the ball is approximately 7.24 kg m²/s.
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the second step of the force field model is about the execution of the change. the key is developing new ____________ that are aligned with the proposed change
Answers
The second step of the force field model is about the execution of the change. The key is developing new strategies, tactics, or action plans that are aligned with the proposed change.
Once the driving and restraining forces have been identified in the first step of the force field analysis, the next step is to develop strategies or action plans that can strengthen the driving forces or weaken the restraining forces. These strategies should be designed in a way that supports and facilitates the desired change.
There is no specific calculation involved in this step. Instead, it requires careful analysis and planning based on the identified driving and restraining forces. The strategies or action plans should be tailored to address the specific factors influencing the change and should be actionable and realistic.
The second step of the force field model is crucial for the successful execution of the change. By developing new strategies, tactics, or action plans that are aligned with the proposed change, organizations can effectively navigate the forces at play and increase the likelihood of achieving the desired outcome. It is important to consider the various driving and restraining forces identified in the previous step and create actionable plans that mitigate the restraining forces while reinforcing the driving forces. This step sets the stage for the actual implementation of the change and ensures that the organization is well-prepared for the challenges and opportunities that lie ahead.
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Q1 b name the three tiny particles which make up atoms ? a write the charge alongside each one ?
Answers
Answer:
Protons
Neutrons
Electrons.
Protons + charge(positively charged)
Neurons no charge.
Electrons - ( negatively charged).
Explanation:
Atom is the smallest unit of a matter that constitutes chemical elements.
It is composed of three particles which are protons,neutrons and electrons.
Protons is positively charged,neuron has no charge and electrons is negatively charged.
Proton and neuron are found in the nucleus while electron is found outside the neuron.
When an object is placed in front of a concave mirror at a distance 60 cm, an image is
obtained on a the same side at a distance of 40 cm from the mirror.
a) Write the values of u and v according to New cartesian sign convention.
b) Find the focal length of the mirror.
c) Find the magnification.
Answers
For an object placed before a concave mirror:
a) u and v value = -60 cm and -40 cm respectively.
b) -24 cm
c) 2/3.
What is the distance from concave mirror?a) According to the New Cartesian sign convention, the object distance (u) is -60 cm and the image distance (v) is -40 cm.
b) To find the focal length of the mirror, we can use the lens equation: 1/f = 1/u + 1/v. Substituting the values for u and v, we get: 1/f = 1/-60 + 1/-40 = -1/60 + 3/120 = -1/60 + 1/40 = -1/24 cm. Therefore, the focal length of the mirror is -24 cm.
c) To find the magnification, we use the formula: Magnification (M) = -v/u. Substituting the values for u and v, we get: M = -(-40)/(-60) = 2/3. Therefore, the magnification of the image is 2/3.
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the relationship between global warming and greenhouse gases is the _______.
Answers
how both affect the ozone layer and affect temperature in a grobal way
GAUTENG DEPARTMENT OF EDUCATION SENIOR SECONDARY INTERVENTION PROGRAMME
PHYSICAL SCIENCE
ende
LEARNER NOTES)
Question 4: 5 minutos
Ola a common mistake to interpret the dor as a multiply function. This is the water
that is trapped in the crystal during crystalisation and must be ADDED to the mass of
the lonic compound)
Calculate the percentage water of crystallisation in CuSO. SHO
Calculate the concentration of a 250 ml solution of sodium hydroxide i 10 g of the
soluto is dissolved
(8)
42
Page 1 of 8
Answers
Answer:
usorrrrrry I need a point
at what angle above the horizontal should the ball be thrown so that the runner will catch it just before it hits the ground?
Answers
The angle at which ball should be thrown so that runner will catch it just before it hits the ground depends on several factors, such as the distance between the thrower and runner, speed of the runner, speed of the ball, and the height of runner's catch.
What angle above horizontal the ball should be thrown so that runner will catch it just before it hits the ground?To maximize the chances of the runner catching the ball, it should be thrown at an angle that is slightly above horizontal and that allows ball to travel the greatest distance possible while still giving the runner enough time to reach ball's landing point.
To determine the angle at which the ball should be thrown, following information is needed:
Distance between the thrower and the runner, Speed of the runner, Speed of the ball and Height of the runner's catch
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Study the scenario. A turbine spins as wind blows across it, generating electricity. The System consists of the wind, turbine, air, generator, and electrical wires. Which image and description best analyzes the flow of energy?
A.) The total energy of the system remains constant due to the law of conservation of energy.
B.) the total energy of the system increases because energy is gained during transformations.
C.) The total energy of the system remains constant due to the law of conservation of energy.
D.) The total energy of the system increases because energy is gained during transformations.
Answers
Answer:
The total energy of the system remains constant due to the law of conservation of energy.
The diagram is the one that starts with "wind energy" and breaks up into "heat energy in the turbines and air" and "kinetic energy in moving the turbine"
Explanation:
I just took the test and this was the correct answer.
What are the intercepts of the graphed function?
Answers
Answer:
the intercepts of a graph are point at which the graph crosses the axes
7. A parachutist jumps from a plane and reaches a terminal velocity of 45.0 m/s. Once he
opens his parachute, he slows to 5.0 m/s it a span of 20 s. What was his rate of
deceleration?
Answers
(45. 0 m/s) - (5.0 m/s) ÷ 20
40 m/s ÷ 20 s = 2 meter second minus 2.
I am sry if my ans is wrong
What would the person’s mass be on the earth? Part B pls
Answers
Answer:
I hopes it helps
thank you
A drag racer starts from rest and accelerates uniformly to a speed of 76.5 m/s in 8.5 seconds. what is the distance traveled by the car in the 8.5 s?
Answers
\(9 m/s^{2}\) is the distance traveled by the car in the 8.5 s
U = 0 (rest)
V= 76.5 m/s
t= 8.5 second
a=?
We are related
V=u+at
76.5 m/s = 0+a×8.5
⟹a= 76.5/8.5 = \(9 m/s^{2}\)
Hence, the car's acceleration \(9 m/s^{2}\)
What is distance travelled?The route taken by a body to travel from a starting point to an ending location in a predetermined amount of time and at a predetermined speed is known as the distance travelled. Considering a constant velocity:
Distance is calculated as time multiplied by velocity.
The formula is denoted as d = v×t.
D is the distance, as stated.
V is the speed.
t is the time.
The formula for calculating distance traveled can be used to calculate how far driving a car or swimming laps in a pool will take you.
The distance and speed while driving an automobile are measured in kilometers per hour, respectively.
The distance swim will be measured in terms of laps while doing laps in a pool.
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what are the example of ultraviolet rays
Answers
1. Sunlight: The sun is the primary natural source of UV rays. UV radiation from the sun is responsible for causing sunburn, skin aging, and an increased risk of skin cancer.
2. Tanning beds: Tanning beds and sun lamps emit UVA and UVB radiation, which can also cause skin damage and increase the risk of skin cancer.
3. Fluorescent lights: Some types of fluorescent lights emit small amounts of UV radiation.
4. Welding torches: Welding torches emit high levels of UV radiation, which can cause eye damage and skin burns if protective gear is not worn.
5. Germicidal lamps: These lamps are used to disinfect surfaces and air, but can also emit UVC radiation, which is harmful to living organisms and can cause skin and eye damage.
1. Why are the outer planets called “gas planets?”
Answers
Answer:
They are also called the gas planets because they consist mainly of hydrogen, or the giant planets because of their size. These planets usually have complicated system of many moons and often even rings of ice and/or dust. There are four Jovian planets in the Solar System: Jupiter, Saturn, Uranus and Neptune.
Answer:
They are also called the gas planets because they consist mainly of hydrogen, or the giant planets because of their size. These planets usually have complicated system of many moons and often even rings of ice and/or dust. There are four Jovian planets in the Solar System: Jupiter, Saturn, Uranus and Neptune.
Explanation:
i hope this helps :)
URGENT CAN SOMEONE ANSWER THIS QUESTION AND SHOW THEIR WORK PLEASE! How many moles of ammonia (NH) can be produced from the reaction of 4.0 liters of hydrogen at 50.0°C and 1.2atm of pressure with excess nitrogen?
Answers
The aforementioned circumstances can result in the production of 0.119 moles of ammonia (NH3).
We must utilize the ideal gas law and the stoichiometry of the balanced chemical equation for the reaction between hydrogen (H2) and nitrogen (N2) to make ammonia in order to determine how many moles of ammonia (NH3) were produced.
Let's begin by formulating the reaction's balanced equation:
3H₂ + N₂ → 2NH₃
We can see from the equation that we produce 2 moles of ammonia for every 3 moles of hydrogen. As a result, the molar ratio of ammonia to hydrogen is 2:3.
We must convert the supplied parameters of 4.0 liters of hydrogen at 50.0 °C and 1.2 atm of pressure into moles in order to use the ideal gas law. The ideal gas law and the molar volume of an ideal gas at standard temperature and pressure (STP) may be combined using the equation shown below:
PV = nRT
Where:
The temperature must first be converted from Celsius to Kelvin:
T(K) = T(°C) + 273.15
T(K) = 50.0°C + 273.15 = 323.15 K
To solve for the number of moles (n), we may now rearrange the ideal gas law equation as follows:
n = PV / RT
n = (1.2 atm) * (4.0 L) / (0.0821 L·atm/(mol·K) * 323.15 K) ≈ 0.179 mol
Since ammonia and hydrogen have a 2:3 molar ratio, we can calculate the amount of ammonia created by multiplying (2/3) * 0.179 mol by 0.119 mol.
As a result, the circumstances allow for the production of 0.119 moles of ammonia.
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an underwater diver looks up and sees the sun from 74 degrees below the surface of the water. a fisherman is sitting in a boat just above the diver. if he looked up at the sun, what angle above the surface of the water does the sunlight hit? (for water, n
Answers
The angle above the surface of the water that the sunlight hits is approximately 48.6 degrees.
To answer your question, we need to find the angle of incidence for sunlight as it enters the water. We'll use Snell's Law, which states:
n1 * sin(θ1) = n2 * sin(θ2)
Here, n1 is the refractive index of air (approximately 1), n2 is the refractive index of water (approximately 1.33), θ1 is the angle of incidence we want to find, and θ2 is the angle of refraction (74 degrees below the surface).
1 * sin(θ1) = 1.33 * sin(74°)
sin(θ1) = 1.33 * sin(74°)
Now, we'll solve for θ1:
θ1 = arcsin(1.33 * sin(74°))
After calculating, we get:
θ1 ≈ 48.6°
So, the sunlight hits the surface of the water at an angle of approximately 48.6 degrees above the surface.
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3. A model rocket is launched straight upward at 58.8 m/s.
a. How long does it take for the rocket to reach its peak height?
Answers
Let us assume that rocket only runs in initial energy and not using its own to flying.
Also , let upward direction is +ve and downward direction is -ve .
Initial velocity , u = 58.8 m/s .
Acceleration due to gravity , \(g=-9.8\ m/s^2\) .
Final velocity , v - = 0 m/s .
We know , by equation of motion .
\(v^2-u^2=2gh\\\\2gh_{max}=0^2-58.8^2\\\\h_{max}=\dfrac{0^2-58.8^2}{-2\times 9.8}\\\\h_{max}= 176.4\ m\)
Hence, this is the required solution .
pdf Solidarity and History. Institutions and Social Concepts of Solidarity in 19th Century Western Europe Karl H. Metz
Answers
Solidarity and History" by Karl H. Metz is a book that explores the institutions and social concepts of solidarity in 19th century Western Europe. Through his research, Metz sheds light on the historical context and significance of solidarity during this period, providing readers with a deeper understanding of the concept and its role in shaping society.
"Solidarity and History" is a book written by Karl H. Metz that focuses on the institutions and social concepts of solidarity in 19th century Western Europe. In this book, Metz explores the idea of solidarity and its significance within the historical context of that time period.
Solidarity refers to the unity and mutual support among individuals or groups, particularly in the face of common challenges or goals. In the 19th century, Western Europe experienced various social, economic, and political changes, such as the Industrial Revolution and the rise of nationalism. These changes had a profound impact on the concept of solidarity and how it was understood and practiced.
Metz's book delves into the institutions that fostered solidarity during this period, such as trade unions, social organizations, and political movements. It examines how these institutions shaped the understanding of solidarity and facilitated collective action among individuals who shared similar interests and aspirations.
Additionally, the book explores the historical context in which solidarity emerged as a significant concept in Western Europe. By examining key events and movements of the time, such as the French Revolution and the rise of socialism, Metz provides insights into the historical forces that influenced the development and evolution of solidarity as a social concept.
Through his research and analysis, Metz offers readers a comprehensive understanding of the role of solidarity in 19th century Western Europe. By studying the institutions and social concepts of solidarity during this period, readers can gain valuable insights into the historical context and significance of this important concept.
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NaHCO3 + CaCl2 = CaCO3 + 2NaCl + H2O how can I balance this equation
Answers
Answer:
NaHCO3 + CaCl2 = CaCO3 + 2NaCl + H2O
Explanation:
It is physically impossible to balance this equation you may be missing another compound
True or False – All transformations fit the Law of Conservation of Energy.
Answers
Answer:
The correct answer is true.