For adenosine deaminase: the protein has a net charge of approximately +2 at pH 3.5.
For leucine: It will not migrate towards either electrode during electrophoresis.
For alanine: It will migrate towards the negative electrode during electrophoresis.
For superoxide dismutase: the protein has a net charge of approximately +1 at pH 4.3.
For glyceraldehyde-3-phosphate dehydrogenase: the protein has a net charge of approximately -0.25 at pH 6.1.
To calculate the net charge of a protein at a certain pH, we need to compare the pH to the protein's isoelectric point (pI). At the pI, the protein has a net charge of zero. At pH values below the pI, the protein is positively charged, and at pH values above the pI, the protein is negatively charged.
For yeast alcohol dehydrogenase:
At pH 4.6, which is below the pI of 5.4, the protein is positively charged. The net charge can be calculated using the Henderson-Hasselbalch equation:
pH = pKa + log([A-]/[HA])
where pKa is the dissociation constant of the protein, [A-] is the concentration of the deprotonated form of the protein, and [HA] is the concentration of the protonated form of the protein.
Assuming a pKa of 6.0 for yeast alcohol dehydrogenase, we can write:
4.6 = 6.0 + log([A-]/[HA])
Solving for [A-]/[HA], we get:
[A-]/[HA] = 0.00316
This means that the ratio of deprotonated to protonated forms of the protein is 0.00316. Since the deprotonated form has a negative charge, we can assume that the protein has a net charge of approximately +1 at pH 4.6.
For adenosine deaminase:
At pH 3.5, which is below the pI of 4.85, the protein is positively charged. Using the same method as above, assuming a pKa of 6.0 for adenosine deaminase, we get:
3.5 = 6.0 + log([A-]/[HA])
[A-]/[HA] = 0.001
This means that the protein has a net charge of approximately +2 at pH 3.5.
For leucine:
At pH 5.5, which is between the pI values of leucine (5.98) and alanine (6.01), we need to look at the side chain of the amino acid. Leucine has a non-polar side chain and is therefore uncharged at this pH. It will not migrate towards either electrode during electrophoresis.
For alanine:
At pH 4.3, which is below the pI of alanine (6.01), the protein is positively charged. It will migrate towards the negative electrode during electrophoresis.
For superoxide dismutase:
At pH 4.3, which is below the pI of 4.95, the protein is positively charged. Using the same method as above, assuming a pKa of 6.0 for superoxide dismutase, we get:
4.3 = 6.0 + log([A-]/[HA])
[A-]/[HA] = 0.00316
This means that the protein has a net charge of approximately +1 at pH 4.3.
For glyceraldehyde-3-phosphate dehydrogenase:
At pH 6.1, which is above the pI of 6.55, the protein is negatively charged. Using the same method as above, assuming a pKa of 6.0 for glyceraldehyde-3-phosphate dehydrogenase, we get:
6.1 = 6.0 + log([A-]/[HA])
[A-]/[HA] = 1.25
This means that the protein has a net charge of approximately -0.25 at pH 6.1.
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Isoelectric point (pI) is the pH at which a molecule has no net charge and is stationary during electrophoresis. At pH values lower than pI, molecules will have a net positive charge, while at higher pH values, they will have a net negative charge. When given the pI and pH values, we can determine the net charge of a protein.
For example, yeast alcohol dehydrogenase will have a net positive charge at pH 4.6, while adenosine deaminase will have a net negative charge at pH 3.5. During paper electrophoresis, the direction in which a molecule migrates towards an electrode depends on its charge. For example, leucine will migrate towards the negative electrode at pH 5.5, while alanine will migrate towards the positive electrode at pH 4.3. Lastly, knowing the pI and pH values, we can determine the net charge of a protein, such as superoxide dismutase having a net positive charge at pH 4.3, and glyceraldehyde-3-phosphate dehydrogenase having a net negative charge at pH 6.1.
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earth orbits the sun once every 365.25 days. find the average angular speed of earth about the sun.
earth orbits the sun once every 365.25 days. find the average angular speed of earth about the sun.
99×10−7 rad/s.
Identify the type of indirect evidence scientists investigate to learn what local climates were like in the distant PAST.
A.
current weather data
B.
tree rings
C.
current rainfall
D.
wind patterns
B. tree rings. We can piece together the history of Earth's former climates thanks to Greenland & Antarctica, sediments from lakes and seas, and many more natural proxies records of climatic changes.
What are the GCSE examples of climate change evidence?The temperature of the Earth has been clearly rising over the past several decades, according to ongoing thermometer temperature records.
What sort of indirect evidence is that?Indirect examples of evidence include physical evidence such as bloodstains and other kinds of physical proof.Similar to forensic & scientific evidence, fingerprint evidence is also indirect.
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tree rings. We can piece together the history of Earth's former climates thanks to Greenland & Antarctica, sediments from lakes and seas, and many more natural proxies records of climatic changes.
What are the GCSE examples of climate change evidence?The temperature of the Earth has been clearly rising over the past several decades, according to ongoing thermometer temperature records.
What sort of indirect evidence is that?Indirect examples of evidence include physical evidence such as bloodstains and other kinds of physical proof.Similar to forensic & scientific evidence, fingerprint evidence is also indirect.
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A savings account is opened with an initial deposit of $425. 0. Determine the account balance after 9 years if the account earns 2. 7% simple interest annually. $3,928. 28 $1,457. 75 $528. 28 $103. 28.
After 9 years, the account balance would be $528.28. The result is obtained by adding the amount of interest to the initial deposit.
How to count the simple interest?The simple interest of an amount of money can be counted by the following formula.
I = P × r × t
I = A - P
Where
I = simple interestP = principal amount (initial balance)r = simple interest ratet = time periodA = final balanceA savings account has the initial deposit of $425.00. It earns 2.7% simple interest per year. Find the final account balance after 9 years!
The amount of interest itself is
I = P × r × t
I = $425.00 × 2.7% per year × 9 years
I = $425.00 × 0.027 × 9
I = $103.28
The account balance after 9 years would be
I = A - P
$103.28 = A - $425.00
A = $425.00 + $103.28
A = $528.28
Hence, the final account balance after 9 years is $528.28.
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A body falls freely from rest on Earth (g= - 10 m/s)
1. The displacement at t = 3 sis -45 m
2. The time for it to reach a speed of 25 m/s is I $
3. The time to fall 320 m is 8 s.
4. The speed after falling 80 m is m/s.
1. The displacement of a body falling freely from rest at time t seconds is given by the formula d = -1/2 gt^2 + vt + d0, where g is the acceleration due to gravity (in this case, -10 m/s), v is the initial velocity (in this case, 0 m/s), and d0 is the initial displacement (in this case, 0 m). Plugging in the values, we get d = -1/2 (-10 m/s) (3 s)^2 + 0 m/s (3 s) + 0 m = -45 m.
2. The speed of a body falling freely from rest at time t seconds is given by the formula v = gt + v0, where g is the acceleration due to gravity (in this case, -10 m/s) and v0 is the initial velocity (in this case, 0 m/s). Plugging in the values and setting v = 25 m/s, we get 25 m/s = (-10 m/s)t + 0 m/s. Solving for t, we get t = 2.5 s.
3. The displacement of a body falling freely from rest at time t seconds is given by the formula d = -1/2 gt^2 + vt + d0, where g is the acceleration due to gravity (in this case, -10 m/s), v is the initial velocity (in this case, 0 m/s), and d0 is the initial displacement (in this case, 0 m). Plugging in the values and setting d = -320 m, we get -320 m = -1/2 (-10 m/s) t^2 + 0 m/s t + 0 m. Solving for t, we get t = 8 s.
4. The speed of a body falling freely from rest at time t seconds is given by the formula v = gt + v0, where g is the acceleration due to gravity (in this case, -10 m/s) and v0 is the initial velocity (in this case, 0 m/s). To find the speed after falling 80 m, we need to find the time t that corresponds to this displacement. We can use the formula for displacement to find t: d = -1/2 gt^2 + vt + d0. Plugging in the values and setting d = -80 m, we get -80 m = -1/2 (-10 m/s) t^2 + 0 m/s t + 0 m. Solving for t, we get t = 2 s. Plugging this value of t back into the formula for speed, we get v = (-10 m/s) (2 s) + 0 m/s = -20 m/s.
5. The acceleration of an object is given by the formula a = (vf - vi)/t, where vf is the final velocity, vi is the initial velocity, and t is the time elapsed. In this case, the initial velocity is -20 m/s and the time elapsed is 1 s. The final velocity is not given, so we cannot use this formula to find the acceleration.
6. The displacement of an object with constant acceleration is given by the formula d = 1/2 at^2 + vt + d0, where a is the acceleration, v is the initial velocity, t is the time elapsed, and d0 is the initial displacement. In this case, the acceleration is -10 m/s^2, the initial velocity is -20 m/s, the time elapsed is 4 s.
What is speed?
Speed is a measure of how fast an object is moving. It is defined as the distance an object travels per unit of time. In equation form, speed is represented by the letter v and is equal to the distance d traveled divided by the time elapsed t: v = d/t. The unit of speed is typically meters per second (m/s) or kilometers per hour (km/h). For example, if a car travels a distance of 200 meters in 10 seconds, its speed is v = 200 m / 10 s = 20 m/s.
Therefore, the correct answer is as given above
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helpp!! Which of the following statements about the independent variable are correct?
a.The independent variable is mentioned in the hypothesis.
b.Scientists adjust the dependent variable to see its impact in the independent variable.
c.The independent variable is manipulated by the scientist.
d.The independent variable is held constant during an experiment.
e.A hypothesis predicts a relationship between the independent and dependent variable.
The statements about the independent variable that are correct are:
The independent variable is mentioned in the hypothesis.The independent variable is manipulated by the scientist.A hypothesis predicts a relationship between the independent and dependent variables.The correct option are A, C, and E.
What are independent and dependent variables?A variable that is independent is precisely what it sounds like. It is a stand-alone variable that is unaffected by the other variables you are attempting to assess. Age, for instance, could be an independent variable.
The dependent variable is the variable that is being measured in an experiment
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2 evidences of rectilinear propagation off light
A student performs an experiment to determine the volume of hydrogen gas produced when a given mass.
A student performs an experiment to determine the volume of hydrogen gas produced when a given mass.
To determine the volume of hydrogen gas produced in a chemical reaction, the student likely performed a series of steps. Here is an example procedure that the student may have followed
Measure the mass of the reactant that will produce the hydrogen gas.Prepare the apparatus by filling a gas collection tube with water and inverting it over a water bath.Add the reactant to the reaction vessel, which may be a flask or test tube.Seal the reaction vessel and start a stopwatch to record the reaction time.Observe the gas bubbles rising through the water in the collection tube.Once the reaction has completed, stop the stopwatch and measure the volume of gas collected in the tube.Adjust the volume measurement for temperature and pressure, if necessary, using the ideal gas law.Hence, by following this procedure, the student should be able to determine the volume of hydrogen gas produced when a given mass of reactant is used. This information can then be used to calculate the stoichiometry of the reaction, determine reaction rate, or make other useful observations about the chemical system under study.
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As the first five elements in group 15 are considered in order of increasing atomic number, first ionization energy.
The first ionization energy in group 15 elements in increasing atomic number decreases.
What is ionization energy?Ionization energy is the amount of energy requires to detach one electron from the atom. In the periodic table the ionization energy decreases as one goes down.
Therefore ionization energy is the quantity of energy that an isolated, gaseous atom in the ground electronic state must absorb to discharge an electron resulting in a cation. This energy is usually expressed in kJ/mol or the amount of energy it takes for all the atoms in a mole to lose one electron each.
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what would happen if the weight of people increased on a roller coaster?
The thing which would happen if the weight of people increased on a roller coaster is that it will make it harder for it to slow down.
What is Weight?This is referred to as the force acting on the object due to gravity and it is denoted as W= mg where m is mass and g is acceleration due to gravity.
We should note that the larger the mass, the larger the momentum, and the more force you need to change it. Weight however does not make a roller coaster go faster but it does make it harder to slow down which is therefore the reason why it was chosen as the correct choice.
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4. Which of the following statements is not accurate regarding identifying factors on the health pyramid?
O All three sides of the health triangle affect each other.
Personal actions are categorized on the health pyramid by the intended purpose of the initial actions.
O Physical health is the base of the triangle and is the most important part of the health triangle.
O Working out a gym would be categorized in the physical health category.
Physical health is the base of the triangle and is the most important part of the health triangle.
How does a food pyramid help individuals eat a healthy diet?A fantastic method to show what foods go into a healthy diet is to translate nutritional advice into a vibrant pyramid. The design quickly conveys the idea that some foods are healthy and should be consumed frequently, while others are less healthy and should only be consumed sometimes. Protein, not fat, is a factor in regulating the evolution of genetic traits. Additionally, fat aids in the absorption of vitamins A, D, E, and K. Fat serves as the body's main energy reserve and is essential for functions like digestion. For a healthy, balanced diet, the Food Pyramid outlines how much of your total intake should come from each shelf.To learn more about food pyramid refer to:
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How many oxygen atoms are in one mole of O2 molecules?
2 oxygen atoms
Solution — 1 molecule of O2 = 2 oxygen atoms So, 1 mole of O2 = 2 mole oxygen atoms = 2 × 6.022 × 1023 = 12.044 ×1023 oxygen atoms.
There are 12.046×10²³ molecules in one mole of O₂ gas.
Each molecule of oxygen has 2 atoms. Avogadro explained that at constant pressure and volume there are certain number of molecules in one mole of gas, irrespective of the type of gas. The number of molecules in 22.4 L of any gas is 6.023 × 10²³. This constant is known as avogadro constant. This is one of the most important constant in the chemistry. If the atomic weight of a gas is 35. It means 35 is the weight of the one mole of gas or of 6.023 × 10²³ molecules of that gas. Atomic weight of any gas is the weight of a fixed number of molecules, which is determined by the avogadro's number. So the number of molecules in one mole of O₂ gas = 2 × 6.023 × 10²³
= 12.046×10²³
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In a simple model of the hydrogen atom, the electron moves in a circular orbit of radius 0. 053 nm around a stationary proton.
The orbital speed of the electron using the equation is 5.41 x 10^7 m/s.
What is orbital speed?Orbital speed is the speed of an object in orbit around a larger body, such as a planet or star. The speed of an object in orbit is determined by two factors: the mass of the central body and the distance of the object from the central body. If a body is more massive, the object in orbit must move faster to maintain its orbit. Similarly, if an object is closer to the central body, it must move faster to remain in orbit. Orbital speed is usually measured in kilometers per second (km/s). The orbital speed of Earth’s Moon, for example, is 1.022 km/s. Orbital speed is an important factor in space exploration, as spacecraft must achieve certain speeds to reach distant destinations.
The orbital speed of the electron can be calculated using the equation:
V = (2πr)/T
where r is the radius of the orbit, and T is the orbital period.
Assuming the orbital period is 2.2 x 10^-17 s, the orbital speed of the electron is:
V = (2π x 0.053 x 10^-9 m)/(2.2 x 10^-17 s) = 5.41 x 10^7 m/s
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We have two stacks of styrofoam cups. One stack has 6 cups, and its height is 15 cm. The other one has 12 cups, and its height is 23 cm. How many cups are needed for a stack with a height of 50 cm?.
The averages of stacks one and two differ, there isn't a direct relationship between the number of cups and the stack's height.
By average, what do you mean?The average is calculated by taking the total number of values in a given set and dividing it by the sum of all the values. The average of a group of values in a sample of data is what is referred to as a mean. The arithmetic mean is another name for an average, in other words. The term "mean" describes the average.
Given in the question,
total number of stacks = 2
Stack 1 has 6 cups of height, h1 = 15cm
Stack 2 has 12 cups of height h2 = 23cm
calculating the average: h1 - h2/ n1 - n2
= 15-23/6-12
= - 8/-6
=4/3
With an average of 4/3, to obtain the number of cups needed to obtain a height of 50m, we have:
50 / (4/3) = 50 × 3/4
= 150/4
= 37.5
Because the averages of stacks one and two differ, there isn't a direct relationship between the number of cups and the stack's height.
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A student adds ice to several samples of water. The results are shown in the table. Which conclusion can be drawn from the results?
I added the question below
I need the answer fast.
The conclusion of the experimental result is as the amount of the ice added increases, the change in temperature increases.
option C.
What is the conclusion of the result?
The conclusion of the experimental result can be obtained as follows;
The change in the temperature for the mass of ice of 59.9 g is calculated as;
Δθ = 16 - 20.2
Δθ = - 4.2 ⁰C
The change in the temperature for the mass of ice of 60 g is calculated as;
Δθ = 44.2 - 48.1
Δθ = - 3.9 ⁰C
The change in the temperature for the mass of ice of 71.1 g is calculated as;
Δθ = 1 - 6.1
Δθ = - 5.1 ⁰C.
The change in the temperature for the mass of ice of 122.6 g is calculated as;
Δθ = 3.3 - 14.6
Δθ = - 11.3 ⁰C
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Radiation is spontaneously emitted from hydrogen-3 nuclei, but radiation is not spontaneously emitted from hydrogen-1 nuclei or hydrogen-2 nuclei. Which hydrogen nuclei are stable?.
Nuclei of H1 and nuclei of H2 are the only stable nuclei oh hydrogen.
Hydrogen is the first and most basic of all elements in the universe.
It is also the lightest element in the periodic table and 90% of all atoms in the universe are hydrogen atoms.It is represented by the symbol 'H'Radiation is spontaneously emitted from nuclei of H3 because this isotope of hydrogen is highly radioactive as compared to other isotopes of hydrogen namely; nuclei of H1 and nuclei of H2.
The nucleus of H3 also called as tritium contains one proton and two neutrons, while the nucleus of the common isotope H-1 (protium) contains one proton and zero neutrons, and the nucleus of H-2 (deuterium) contains one proton and one neutron.
Therefore H1 and H2 have much stable nucleus as compared to nuclei of H3.
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A 415 kg container of food and water is dropped from an airplane at an altitude of 300 m.
If you disregard air resistance and assume that the object is falling freely, it will take 7.82 seconds for the container to descend 300 meters to the earth.
Describe free fall.Free fall is any motion of an item in which gravity has been the only force applied on it.
The thing that was dropped from the plane is falling freely.
The only force operating on the container, which accelerates it by a consistent amount regardless of air resistance, is gravity.
The formula for calculating the amount of time it will take an item to reach the floor when it is in free fall is as follows:
s = ut + ¹/₂gt²
where
h is the height above the ground = 300 m
Since the container starts at rest, its initial vertical velocity, u, is equal to zero.
g is the acceleration of gravity = 9.8 m/s²
t is the time = ?
The equation above becomes;
h = ¹/₂gt² since u is zero
Solving the equation for t:
t = √2h/g
t = √2 * 300 / 9.8
t = 7.82 seconds.
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The Complete question is:
A 415-kg container of food and water is dropped from an airplane at an altitude of 300m. First, consider the situation ignoring air resistance. Then calculate the more realistic situation involving a drag force provided by a parachute.
1. If you ignore air resistance, how long will it take the container to fall 300m to the ground?
Describe the magnetic field of a south-south pole arrangement.
When one south pole's magnetic field line comes close to another south pole, the second south pole's field lines will begin to bend away from the first south pole.
What configuration do magnetic poles have?A bar magnet suspended in the Earth's magnetic field will naturally point north and south. Any pole that pursues the north is referred to as a north magnetic pole, such as the north-seeking pole of this sort of magnet. The south-seeking pole or any pole that resembles it is a south magnetic pole.
What takes place at the magnet's south pole?Like poles repel one another whereas opposite poles are attracted to one another. Therefore, when the south pole of a magnet is brought close to the north pole of a magnetic needle that is suspended freely, it will attract. A. When the South pole of a magnet is brought close to the North pole of a magnetic needle that is suspended freely, they will both attract one another.
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A cockroach and a spider are walking on the sands at a desert. Assume that both have the same weight and same sized legs. Which one would leave a deeper footprint on the sand? Why?
Answer:
cockroach
Explanation:
Because cockroach have only six legs and the surface area would be 6x (where x is size of foot) but in case of a spider who have 8 legs the area would be 8x since, 8x>6x the cockroach will leave deeper footprints
A cat knocks a 0.01kg toy mouse across the floor. If it travels 5m and the cat does 7J of work, how much force did the cat exert on the mouse?
1.4N
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W = Fd
7J = F * 5m
The force exerted by the cat on the toy mouse is 1.4N
The amount of work done is 7J
The displacement experienced by the object is 5m
We know that work done (W) = Force (F) × Displacement (D)
W= F×D
7= F×5
Therefore, F=7/5
F= 1.4N
Therefore, the force exerted on the object is 1.4N
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If you are initially driving at a peed of 30 km/h with a contant acceleration of 2. 0 m/2. Determine
how much time, in econd, it will take you to reach a peed of 60 km/h?
In 4.16 seconds, 60 km/h speed can be achieved if the initial speed is 30 km/h and the acceleration is 2.0 m/s².
Initial speed, u = 30 km/h
Final speed, v = 60 km/h
Constant acceleration, a = 2.0 m/s²
Converting the initial speed in m/sec = 30 × 5/18
u = 75/9 m/s
Converting the final speed in m/sec = 60 × 5/18
v = 150/9 m/s
By the first equation of motion, which is used to determine the final velocity of an object which has some constant acceleration.
v = u + at
t = (v-u)/a
t = [(150/9) - (75/9)]/2
t = 4.16 sec.
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Calculate the number of atoms in a \pu{67. 5 mg}67. 5 mg67, point, 5, space, m, g sample of \ce{sr}srs, r.
1. Convert the mass of \pu{67.5 mg}67.5 mg67, point, 5, space, m, g to grams: 67.5 mg = 0.0675 g
2. Calculate the molar mass of \ce{sr}srs, r:Molar mass of \ce{sr}srs, r = 87.62 g/mol
What is molar mass?Molar mass is a measure of the amount of mass contained in one mole of a given substance. It is expressed in grams per mole (g/mol) and is numerically equal to the atomic or molecular weight of the substance. The molar mass of a substance is calculated by adding together the atomic masses.
3. Calculate the number of moles:
n = m/M = 0.0675 g/87.62 g/mol = 0.0007704 mol
4. Calculate the number of atoms:
Number of atoms = n x Avogadro's number
= 0.0007704 x 6.022 x 10^23
= 4.24 x 10^20 atoms
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What do scientists use to divide the geologic time scale?
Major changes in mineral deposits in the rock layers
Evidence for catastrophic events in Earth's history
Major divisions in the fossil records
Major divisions in the sedimentary rock layers
The thing that scientists use to divide the geologic time scale is option C: Major divisions in the fossil records
What is the fossil records about?Fossils are the remains or traces of ancient organisms that have been preserved in rock layers. Scientists study fossils to learn about the history of life on Earth, and the different types of fossils found in different rock layers can provide information about the different time periods in which those organisms lived.
Other methods, such as major changes in mineral deposits in the rock layers, evidence for catastrophic events in Earth's history, and major divisions in the sedimentary rock layers, can also provide information about different time periods, but the use of fossils is the main method for dividing the geologic time scale.
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A car roll down the hill, accelerating at 2m/^2. How far doe it roll in 1. 5 econd ?
So the car rolls a distance of 2.25 meters in 1.5 seconds.
To find the distance the car rolls in 1.5 seconds, we need to use the equation:
Distance = Initial velocity x Time + (1/2) x Acceleration x (Time^2)
Since the initial velocity of the car is 0 (it's rolling down the hill and not moving initially), we can simplify the equation to:
Distance = (1/2) x Acceleration x (Time^2)
Plugging in the values we have:
Distance = (1/2) x 2m/s^2 x (1.5s)^2
Distance = (1/2) x 2 x 1.5^2
Distance = (1/2) x 2 x 2.25
Distance = 2.25m
So the car rolls a distance of 2.25 meters in 1.5 seconds.
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Explain in detail the change in energy tore when a ball of dough i dropped onto a kitchen counter
Dropping a ball of dough onto a kitchen counter, its energy store of potential energy is converted into kinetic energy as it falls. Upon impact, the kinetic energy is converted into potential, thermal, and sound energy.
When a ball of dough is dropped onto a kitchen counter, there is a change in the energy store of the dough. Initially, the dough has potential energy due to its position above the counter. As the dough is dropped, this potential energy is converted into kinetic energy, or energy of motion. As the dough falls, it gains speed and thus increases in kinetic energy.
When the dough strikes the counter, the kinetic energy is converted into a combination of potential energy and thermal energy. The dough compresses and deforms upon impact, increasing its potential energy. The compression and deformation also generates heat, which increases the thermal energy of the dough. A portion of the kinetic energy is also converted into sound energy as the dough makes contact with the counter.
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Please label whether the
acceleration is positive, zero, or
negative:
A-B:
B-C:
C-D
Answer:
A-B: positive
B-C: zero
C-D: negative
Explanation:
In a velocity-time graph, acceleration is shown by the slope or steepness of the graph. A positive acceleration means that the line of the slope is upward, while a negative acceleration means that the line of the slope is downwards.
A horizontal line shows that the acceleration is 0, which means that the object is stationary.
How much force is needed to accelerate a 9,760 kg airplane at a rate of 4.2 m/s2?
A.
11,386 N
B.
40,992 N
C.
147,571 N
D.
2,324 N
The amount of force that is needed to accelerate the airplane is 40,992 N.
option B is the correct answer.
How much force is needed to accelerate the airplane?The amount of force that is needed to accelerate the airplane is calculated by applying Newton's second law of motion as follows;
Mathematically, the formula for Newton's second law of motion is given as;
F = ma
where;
a is the acceleration of the airplanem is the mass of the airplaneThe amount of force that is needed to accelerate the airplane is calculated as follows;
F = ( 9,760 kg ) x ( 4.2 m/s² )
F = 40,992 N
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Mr. And mrs. Ozawa are driving their family to a vacation spot 496496 miles away. They want to get there in 88 hours. What is the average speed they need to drive?.
The average speed they need to drive is around 5.64 miles per hour. The result is obtained by dividing the total distance by the total time taken.
What is average speed?Average speed is the overall speed of a moving object during a given amount of time. It can be expressed as
Avg speed = Total distance covered / Total time taken
Mr. and Mrs Ozawa are driving 496 miles away. The time they want to get there is 88 hours.
Find the average speed they need to drive!
We have
The total distance = 496 miles.The time taken = 88 hours.We would get
Avg speed = Total distance covered / Total time taken
Avg speed = 496 miles / 88 hours
Avg speed = 5.64 miles per hour
Hence, they need to drive with the average speed at around 5.64 mph.
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Superman hits a stationary golf ball. The club and
ball are in contact for 0.01 seconds. Afterward, the
ball has momentum with a magnitude of 10 kg-m/s.
What was the average collision force?
It strikes the wall normally with a velocity of v₁ = 30 m/s and rebounds with a velocity of v₂ = -20 m/s. We know that impulse is equal to the change in momentum. So, So, the impulse of the force exerted by the wall on the ball is 5 kg m/s.
a)x²+x+1=0
x=b±√b²-4ac/2a
x=-1±√-3/2=-1±√3i/2
b) z=-1/2+i√3/2
x=-1/2 y=√3/2 lies
r=√x²+y²=√1/4+3/4-1
sin∅=√3/2 cos∅=-1/2
tan∅=√-3
since Z lies in Q 2nd arg(Z)=π-∅
∅=π-π/3=2π/3
Z=r(cos∅+isin∅)
=1(cos 2π/3+isin2π/3)
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When sound waves are traveling in a medium, the energy is transferring
up and down
left to right
in and out
all around
When sound waves are traveling in a medium, the energy is transferring all around.
Option D is the correct answer
What is sound energy?Sound is the movement of energy through a substance – like air or water and it is caused by vibrations.
Sound wave is an example of a mechanical wave because it requires material medium for its propagation.
A wave is a vibration or disturbance that travels from one point to another and carries energy.
The movement of this sound wave, when it transfers energy from one point of medium to another is known as sound wave propagation.
Thus, we can conclude that during the propagation of sound waves, energy is transferred to the entire medium.
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What is the momentum of a child and wagon if the total mass of the child and wagon is 22 kg and the velocity is 1. 5 m/s?.
The momentum of a child and wagon if the total mass of the child and wagon given is 22 kg and the velocity is 1. 5 m/s is 33 kg⋅m/s.
What is momentum and its S.I Unit?The product of an object's mass and velocity is its momentum (p=mv). It has both a magnitude and a direction, making it a vector quantity.Momentum's S.I. unit is 'kg⋅m/s'Solution:Given:
Mass collectively=22 kg
velocity= 1. 5 m/s
To find momentum we use the formula for momentum which is;
p=mv
Putting the values we get
p= 22*1.5
p=33 kg⋅m/s
Hence, The momentum of a child and wagon when the total given mass of the child and wagon is 22 kg and the velocity is 1. 5 m/s is 33 kg⋅m/s.
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