Answer: B.)by consuming plants
Explanation:
There is about 78% nitrogen is available in the atmosphere. But living beings such as plants does not absorb it directly from the air. Instead they absorb the compounds of nitrogen from the soil. The soil bacteria convert the nitrogen oxides into ammonia, nitrates and nitrites in the soil in this way these bacteria fix atmospheric nitrogen into the soil. The plants absorb these forms of nitrogen, which are essentially required for the synthesis of proteins and nucleic acids. Nitrogen as an element becomes essential ingredients in all biomolecules. We humans and animals eat plants and through them the usable form of nitrogen in the form of biomolecules enters the body.
Answer:
the correct answer is B. by consuming plants
Explanation:
MEDAL AND FAN FOR FIRST ANSWER!!!!
Which of the following materials is a conductor of electric current?
A.a plastic game piece
B.a wooden spoon
C.a copper penny (I think its this one)
D.a glass window
explain why you will not become sick if you eat sodium chloride, even though chlorine is poisonous
Sodium chloride (table salt) is safe to eat in moderate amounts because its chloride ions are chemically bound, unlike toxic chlorine gas.
Sodium chloride, commonly known as table salt, is composed of sodium (Na+) and chloride (Cl-) ions. While chlorine gas (Cl2) can be toxic when inhaled or ingested in large amounts, chloride ions in sodium chloride are chemically bound to sodium ions, forming a stable compound.
When consumed in appropriate quantities, sodium chloride dissociates into its respective ions in the digestive system. Sodium ions play crucial roles in nerve transmission and muscle function, while chloride ions help maintain the body's acid-base balance and regulate fluid levels.
The human body has evolved mechanisms to regulate the intake and excretion of sodium and chloride ions, ensuring proper physiological function. Ingesting moderate amounts of sodium chloride as part of a balanced diet poses no significant health risks and is necessary for maintaining normal bodily functions.
However, excessive consumption of sodium chloride can lead to health issues such as high blood pressure and cardiovascular diseases, emphasizing the importance of moderation in dietary intake.
Imagine a book Is resting on table. This book weighs 45N. Are the forces in balance? Why or why not?
How is power defined?
A.the quantity of work accomplished
B.the direction of the force appled to an object
C.the total distance an object is moved
D.the rate at which work is accomplished
Power can be defined as the rate at which the work has been accomplished in a system. Thus, the correct option is D.
What is Power?The power is the quantity which has only magnitude, that is a scalar quantity. The SI unit of power is watt, and it is also written as J/s or Joules per second.
Power can be defined as the rate at which the work is finished or the energy is transferred from one location to another or energy transformed from one form into another form.
The term energy is the capacity of a body to do work or result in some displacement by the application of some force.
Therefore, the correct option is D.
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if you drop a bowling ball, a tennis ball, and a feather from the top of a tall building at the same time which one will hit the ground first?
( in the absence of air resistance)
A. the bowling ball
B. the tennis ball
C.the feather
D.they will all hit the ground at the same time
E.it is not possible to predict
Answer:
If we Drop any object there is gravity acts on it and the air resistance but since, we are given the condition in absence of air resistance
So, we will consider only the gravity and due to gravity all the three bowls bowling ball, a tennis ball, and a feather from the top of a tall building will hit the ground at same time.
Hence, The option D is correct.
Option A,B,C and E are discarded.
An incandescent lightbulb operating at 120 volts draws a current of 0.50 ampere for 240 seconds. The power rating of the lightbulb is? The correct answer is 60.W but i don’t know how to get there
The power rating of the lightbulb is mathematically given as
P= 60 watts
What is the power rating of the lightbulb?Question Parameters:
An incandescent lightbulb operating at 120 volts draws a current of 0.50 ampere for 240 seconds.
Generally, the equation for the Power is mathematically given as
P=VI
Therefore
P= (20 x 0.5
P= 60 watts
In conclusion, the power rating of the lightbulb
P= 60 watts
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If an endothermic reaction is in Equilibrium, What will happen when you increase the temp? (1 point)
a. More reactants form
b. more products form
c. no change in the amounts of products and reactants occur
d. the system does not reach equilibrium again
Which statement best describes how a wave would move differently through a pot of boiling water than the steam created from it?
Hello. This question is incomplete. The complete question is:
"Which statement best describes how a wave would move differently through a pot of boiling water than the steam created from it? The wave would move faster through the water than through the steam. The wave would move slower through the water than through the steam. The wave would move the same speed through the water and the steam. The wave would move through the water and steam at the same speed, but decrease in speed at the transition point. "
Answer:
The wave would move faster through the water than through the steam.
Explanation:
As we already know, the water molecules at the moment when the water is boiling move very fast, due to the thermal energy that acts on them. This movement causes the mileculas to collide with each other quickly, for this reason we can observe that movement of the boiling water. This makes the wave movement in the boiling water fast.
On the other hand, all this movement is not seen in water vapor molecules, since the space between them is larger and there is no energy acting directly on them. For this reason, we can say that, through steam, the wave would not move with such speed.
What can iron filings sprinkled on a piece of paper demonstrate?
A the clockwise motion of the magnetic field
B the counter clock wise motion of the magnetic fields
c the pattern of the magnetic fields lines
d the distortion of the magnetic field by paper,
The iron filings sprinkled on a piece of paper demonstrate is "the pattern of the magnetic fields lines".
What is magnetic fields?A magnetic field would be a vector field which thus explains the magnetic influence affecting electric charges, electric currents, as well as magnetic materials.
What is iron?The chemical element iron has the atomic number 26 and also the symbol Fe. It is just a metal that would be found in group 8 of such periodic table and the very first transition series.
Therefore, the iron filings sprinkled on a piece of paper demonstrate is "the pattern of the magnetic fields lines".
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Physics Review Questions. Please help quickly!!
Will give medal to best answer!
A pitcher exerts 100.0 N of force on a ball with a velocity of 45 m/s. What is the pitcher's power?
A 50.0 kg sailor climbs a 28.3 m rope ladder at an angle of 45 degrees with the mast. How much work did he do?
An inclined plane is 5.00 m long and 2.00 m high. What is the ideal mechanical advantage of this machine?
A sailboat moves north for a distance of 10.00 km when blown by a wind 30 degrees east of south with a force of 5.00 x 10^4 N. How much work was done by the wind?
Which of the following statements best describes what occurs as water boils? A. Thermal energy and temperature are constant. B. Thermal energy is increasing, and temperature is constant. C. Thermal energy and temperature are increasing. D. Thermal energy is constant, and temperature is increasing.
The statement that best describes what occurs as the water boils is Thermal energy is increasing, and temperature is constant, therefore the correct option is B.
What is the boiling point?It is a temperature at which the pressure exerted by the external atmosphere is equal to the vapor pressure of the substance.
The boiling point depends on atmospheric pressure, temperature, bond strength, and vapor pressure of the liquid.
When the water boils by utilizing the latent heat at 100 degrees Celcius, the phase of the water is changing at a constant temperature, the phase change of water from liquid to gaseous state happens because of the increase in the thermal energy required in the form of latent heat.
Thus, The sentence that best sums up what happens when water boils is option B because thermal energy is rising and temperature is staying the same.
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Final answer:
The correct description of what occurs as water boils is that B.thermal energy increases while temperature remains constant. This is due to the ongoing phase transition from liquid to gas, which requires energy to overcome intermolecular bonds.
Explanation:
The statement that best describes what occurs as water boils is that thermal energy is increasing, and temperature is constant. When water boils, the temperature remains constant at the boiling point because extra energy is used to convert the liquid into gas, thus breaking the intermolecular bonds. This is an example of a phase transition, where the phase change occurs at a fixed temperature, which is a physical property known as the boiling point.
Heat is added continuously, but instead of increasing the temperature, it provides the energy necessary for the phase transition from liquid to gas. During this process, known as boiling, the temperature remains constant at the boiling point while the state of the matter changes. The energy absorbed during boiling contributes to the increase in potential energy of the molecules, facilitating the liquid-to-gas phase transition.
Which type of light energy found in solar radiation is most likely to reach earth's surface?
the answer is visible light
A simple pendulum has a mass of 0.350 kg and a length of 7.00 m. It is displaced through an angle of 8.0° and then released. Using the analysis model of a particle in simple harmonic motion, calculate the following. (Give your answer to the thousandths place.)
(a) What is the maximum speed of the bob?
-I already found it to be 1.156 m/s
(b) What is the maximum angular acceleration of the bob?
(c) What is the maximum restoring force of the bob?
(d) Solve parts (a)through (c) by using other analysis models. (Hint: you may need to use separate analysis models for each part.)
m,
To summarize, the maximum angular acceleration of the pendulum's swing is 0.019 rad/s², and the maximum restoring force is 0.479 N, calculated using the principles of simple harmonic motion and confirmed with energy conservation principles.
Explanation:To find the maximum angular acceleration, we can use the formula for angular acceleration: α = δθ/δt². In the context of a simple pendulum like this one, the angular acceleration at its maximum displacement is α = g/L * sin(θ), where g is the acceleration due to gravity (9.81 m/s²) and L is the length of the pendulum. Substituting the given values in, we find α = (9.81 m/s²/7.00 m) * sin(8.0°) = 0.019 rad/s² to three decimal places.
The maximum restoring force can be found using the formula F = ma, where m is the mass and a is the acceleration. In this case, the maximum restoring force, F = 0.350 kg * 9.81 m/s² * sin(8.0°) = 0.479 N to three decimal places.
To confirm these calculations, we could use an alternative model, such as energy conservation. In the energy model, the potential energy at the point of maximum displacement (the highest point of swing) is converted to kinetic energy at the lowest point. We also know that maximum restoring force coincides with maximum displacement in simple harmonic motion, while maximum speed (already calculated and given as 1.156 m/s) coincides with the position of equilibrium (the bottom of the swing).
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Part (a):- [tex]\( v_{\text{max}} = 1.156 \)[/tex] m/s, which is correct. This part is complete.
Part (b):- [tex]\[ \alpha_{\text{max}} \approx 0.0280 \, \text{rad/s}^2 \][/tex]
Part (c):- [tex]\[ F_{\text{max}} \approx 0.4806 \, \text{N} \][/tex]
Part (d):- These models provide a comprehensive approach to analyze the motion of the simple pendulum, considering kinetic energy, potential energy, and forces involved.
Given data:
- Mass of the pendulum bob, m = 0.350 kg
- Length of the pendulum, L = 7.00 m
- Maximum angle of displacement,[tex]\( \theta = 8.0^\circ = 8.0 \times \frac{\pi}{180} \)[/tex] radians
Part (a): Maximum Speed of the BobYou've already found this to be [tex]\( v_{\text{max}} = 1.156 \)[/tex] m/s, which is correct. This part is complete.
Part (b): Maximum Angular Acceleration of the BobThe maximum angular acceleration occurs at the maximum displacement, when the restoring force is at its maximum.
1. Calculate the gravitational acceleration:
[tex]\[ g = 9.81 \, \text{m/s}^2 \][/tex]
2. Calculate the maximum restoring torque:
The torque due to gravity at maximum displacement is:
[tex]\[ \tau = mg \sin \theta \][/tex]
where[tex]\( \theta \)[/tex] is the angle of displacement.
[tex]\[ \tau = 0.350 \, \text{kg} \times 9.81 \, \text{m/s}^2 \times \sin(8.0^\circ) \][/tex]
[tex]\[ \tau \approx 0.350 \times 9.81 \times 0.1392 \approx 0.4806 \, \text{Nm} \][/tex]
3. Calculate the moment of inertia of the pendulum bob:
[tex]\[ I = m L^2 \][/tex]
[tex]\[ I = 0.350 \, \text{kg} \times (7.00 \, \text{m})^2 = 17.15 \, \text{kg} \cdot \text{m}^2 \][/tex]
4. Calculate the maximum angular acceleration [tex]\( \alpha_{\text{max}} \):[/tex]
[tex]\[ \alpha_{\text{max}} = \frac{\tau}{I} \][/tex]
[tex]\[ \alpha_{\text{max}} = \frac{0.4806}{17.15} \][/tex]
[tex]\[ \alpha_{\text{max}} \approx 0.0280 \, \text{rad/s}^2 \][/tex]
Part (c): Maximum Restoring Force of the BobThe maximum restoring force occurs at maximum displacement:
1. Calculate the maximum restoring force [tex]\( F_{\text{max}} \):[/tex]
[tex]\[ F_{\text{max}} = mg \sin \theta \][/tex]
[tex]\[ F_{\text{max}} = 0.350 \, \text{kg} \times 9.81 \, \text{m/s}^2 \times \sin(8.0^\circ) \[/tex]]
[tex]\[ F_{\text{max}} \approx 0.350 \times 9.81 \times 0.1392 \approx 0.4806 \, \text{N} \][/tex]
Part (d): Using Other Analysis ModelsLet's summarize the solutions using other analysis models:
1. Energy Analysis Model (Kinetic and Potential Energies):
- Maximum speed of the bob: [tex]\( v_{\text{max}} = 1.156 \) m/s[/tex]
- Maximum potential energy: [tex]\( PE_{\text{max}} = mgh \)[/tex]
- Maximum kinetic energy: [tex]\( KE_{\text{max}} = \frac{1}{2}mv_{\text{max}}^2 \)[/tex]
2. Force Analysis Model:
- Maximum restoring force: [tex]\( F_{\text{max}} = mg \sin \theta \)[/tex]
- Maximum angular acceleration: [tex]\( \alpha_{\text{max}} = \frac{\tau}{I} \),[/tex] where [tex]\( \tau = mg \sin \theta \) and \( I = mL^2 \)[/tex]
Adults should also do muscle-strengthening activities that involve all major muscle groups, performed on _____ or more days per week.
A 7
B 2
C 5
D 4
Final answer:
Adults should perform muscle-strengthening activities that work all major muscle groups at moderate to high intensity at least 2 days per week for additional health benefits.
Explanation:
Adults should engage in muscle-strengthening activities that involve all major muscle groups, performed on 2 or more days per week. These activities, such as push-ups, sit-ups, squats, and lifting weights, should be done at moderate or greater intensity to provide additional health benefits. Over time, the frequency and intensity of these workouts can be increased to further enhance muscle strength and endurance.
During each heartbeat, about 80 g of blood is pumped into the aorta in approximately 0.2 s. during this time, the blood is accelerated from rest to about 1 m/s. what is the average force on the blood during this time?
The average force acting on the blood as it is pumped into the aorta is [tex]\boxed{0.4\text{ N}}[/tex].
Explanation:
As the blood enters the aorta, the speed of the blood increases from zero to [tex]1\text{ m/s}[/tex] in a time of [tex]0.2\text{ s}[/tex]. It means that the blood moves under the acceleration as it passes through the aorta.
The acceleration produced in a body is due to the force experienced by the particular amount of blood as it enters the aorta.
Write the expression for the acceleration of the blood as its speed increases.
[tex]\boxed{a=\dfrac{v_{f}-v_{i}}{t}}[/tex] ...... (1)
Here, [tex]v_{f}[/tex] is the final velocity of blood, [tex]v_{i}[/tex] is the initial velocity and [tex]t[/tex] is the time taken to accelerate.
Substitute the values of the velocities and the time taken by the blood in equation (1).
[tex]a&=\dfrac{1-0}{0.2}\text{ m}\text{/s}^2}\\&=\dfrac{1}{0.2}\text{ m}\text{/s}^2}\\&=5\text{ m}\text{/s}^2}[/tex]
The net force acting on the blood is given by:
[tex]F=m\times{a}[/tex] ...... (2)
Substitute the values of mass and acceleration in the above expression.
[tex]\begin{aligned}F&=80\text{ g}\left(\dfrac{1 \text{ kg}}{1000\text{ g}}\right)\times\left(5\text{ m/s}^2\right)\\&=0.08\times5\text{ N}\\&=0.4\text{ N}\end{aligned}[/tex]
Therefore, the average force acting on the blood as it is pumped into the aorta is [tex]\boxed{0.4\text{ N}}[/tex].
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Answer Details:
Grade: High School
Subject: Physics
Chapter: Force and acceleration
Keywords:
heartbeat, average force, aorta, blood, rest, speed up, acceleration, initial speed, final speed, time, accelerated, 80 g, blood is pumped.
Final answer:
The average force on the blood during this time is 0.4 Newtons.
Explanation:
The average force on the blood can be calculated using the equation:
F = m * a
where F is the force, m is the mass, and a is the acceleration.
In this case, the mass of the blood is given as 80 g (or 0.08 kg) and the acceleration is the change in velocity divided by the time taken.
Given that the blood is accelerated from rest to 1 m/s in 0.2 s, the acceleration is calculated as:
a = (v-u)/t
Substituting the given values:
a = (1-0)/0.2 = 5 m/s²
Plugging the values back in the original equation:
F = 0.08 kg * 5 m/s² = 0.4 N
So, the average force on the blood during this time is 0.4 Newtons.
The equation for density is mass divivded by volume.an increase in denstiy can result from all of following expect??
A mass m1 = 3.5 kg rests on a frictionless table and connected by a massless string over a massless pulley to another mass m2 = 4.8 kg which hangs freely from the string. When released, the hanging mass falls a distance d = 0.71 m.
1) How much work is done by gravity on the two block system?
34 J (All of my answers are correct up to the last question, which I need help on)
2) 2) How much work is done by the normal force on m1?
0 J
3) What is the final speed of the two blocks?
2.84 m/s
4) How much work is done by tension on m1?
14.1 J
5) What is the tension in the string as the block falls?
19.9 N
7) What is the NET work done on m2?
**** This is the question I need help on. I gave the answers to the previous questions because something in there might be needed for solving this part of the problem.
In this exercise we have to use the block knowledge in a system, thus we find that:
1) 33.4 J
2) 0J
3) 2.84 m/s
4) 14.1 J
5) 19.9 N
6) 19.3 J
So with the knowledge of force and energy we can calculate what is required, like this:
1) We have to calculate the value of work in the system which will be:
[tex]W=FS\\W=0.71 m * 9.8 m/s^2 * 4.8kg\\ = 33.3984 kg*m^2/s^2 \\= 33.3984 J \\=33.4 J[/tex]
2) As we are dealing with the work of the normal force, we will have to be zero, since the force will not have a distance, so:
[tex]W=FS\\W=35*0\\W=0J[/tex]
3) We want to calculate the final speed of the system as a whole, so:
[tex]E = 0.5MV^2 \\E = 33.3984 J\\ 33.3984 = 0.5*(3.5 + 4.8 )V^2\\ 33.3984 = 0.5*8.3 *V^2\\ 33.3984 = 4.15*V^2\\ 8.047807229 = V^2\\V= 2.83686574 m/s\\V=2.84 m/s[/tex]
4) We want to find the work of the voltage in this way we have:
[tex]E = 0.5MV^2\\ E = 0.5*3.5kg* (2.84 m/s)^2\\ E = 0.5*3.5kg* 8.0656 m^2/s^2\\ E = 14.1148 kg*m^2/s^2\\ E = 14.1 J[/tex]
5) Now calculating the value of the string tension, we have:
[tex]T= 14.1 J / 0.71 m \\= 19.88 J/m\\= 19.88 kg*m/s^2\\ = 19.88 N[/tex]
6) Calculating the value of work on top of block 2 we have:
[tex]E = 0.5MV^2\\ E = 0.5*4.8 kg * (2.84 m/s)^2\\ E = 0.5*4.8 kg * 8.0656 m^2/s^2\\ E = 19.35744 kg*m^2/s^2\\ E = 19.4 J[/tex]
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Which of the following is most appropriate to follow motion in one dimension?
linear scale
x- y- z coordinates
solid coordinates
graph with x- and y-axes.,
what voltage produces a 6-A current in a circuit thhat has a total resistance of 3 Ω ?
According to Ohm's law, the voltage that produces a 6A current in a circuit that has a total resistance of 3Ω is 18 Volts.
What is Ohm's law?Ohm's law states that the current passing through a conductor is directly proportional to its voltage. this can be expressed as,
[tex]I=\frac{V}{R}[/tex]
Where R is the ohm's constant called resistance measured in ohms.
Calculating Voltage expressionFrom the law mentioned above, we can write Voltage as,
[tex]V=IR[/tex]
The circuit has 3Ω of resistance and the current flowing through it is 6A. Then the voltage of the circuit is,
[tex]\[\begin{align} & V=6\times 3 \\ & =18 \\ \end{align}\][/tex]V=6×3
=18 volts
Thus, the required voltage for a circuit that has 3Ω of resistance and produces 6A of current to flow through it is 18 Volts.
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the atomic number of cesium (Cs) is 55. If an atom of cesium has 78 neutrons, what is the atomic mass of cesium?
The atomic mass of caesium with atomic number of 55 and neutron of of 78 is 133 amu.
What is Atomic mass:The atomic mass of an element is the sum of the proton number and the neutron number.
The proton and neutron contributes mostly to the weight of an atom. The proton and neutron are located in the nucleus an atom.
The atomic number of an element is the same as the proton number of an element. Therefore, since the atomic number of caesium is 55, the proton number is also 55.
The atomic mass of caesium can be computed as follows:
atomic mass = proton + neutronatomic mass = 55 + 78 atomic mass = 133 amulearn more on atomic number: https://brainly.com/question/14300579?referrer=searchResults
the planet neptune has a mass of 1.02 x 10^26 kg, and earth's mass is 5.97 x 10^24 kg. what is the gravitational force between the planets when they are 4.5 billion kilometers apart?
A: 2.0 x 10^15
B: 2.0 x 10^21
C: 3.0 x 10^25
D: 3.0 x 10^31
The gravitational force between the planets when they are 4.5 billion kilo-meters apart [tex]2.0*10^{21}[/tex] N.
What is force?A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
Given in the question the planet Neptune has a mass of 1.02 x 10^26 kg, and earth's mass is 5.97 x 10^24 kg,
Newton's law of universal gravitation force is,
F = G m M/r²
F = [tex]6.67 * 10^{-11} * (1.02*10^{26})*(5.97×10^{24})/4500000000^{2}[/tex]
F = [tex]2.0*10^{21}[/tex]
The gravitational force between the planets when they are 4.5 billion kilo-meters apart [tex]2.0*10^{21}[/tex] N.
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While scuba diving with some friends, Deshawn notices that the air bubbles exhaled by his friends increase in size as they get closer to the surface of the water.
Why does this occur and which gas law explains it?
Answer:As the air bubbles rise to the surface, the pressure on them decreases. This decrease in pressure allows the air to expand and each bubble increases in size. Boyle’s law explains why this occurs.
Explanation:
What is the transfer of heat through a solid as a result of molecular action called? radiation convection conduction magnetism?
Electromagnetic waves travel through space at a speed of _____.
a. 3,000,000 kilometers per second
b. 3,000 kilometers per second
c. 300,000 kilometers per second
d. 30,000 kilometers per second
Ans: C) 300,000 kilometers per second
Electromagnetic waves are created by the movement of charges. This results in the generation of electric and magnetic fields which oscillate in a direction perpendicular to each other.
Electromagnetic waves carry a certain wavelength, frequency and speed. The speed of such waves as they travel through space is equal to the speed of light (c) = 3*10⁸ m/s
since 1 km = 10³ m
speed, c = 1 km * 3*10⁸ ms-1/10³ m
= 300, 000 km/s
@alexrobin13 A 62 kg box is lifted 12 meters off the ground. How much work was done?
A)
5.17 J
B)
72.91 J
C)
744.0 J
D)
7291.2 J
How do particles move differently in transverse waves and in surface water waves?
In transverse waves, particles move perpendicularly to the wave's direction, while in surface water waves, they follow circular orbits due to a combination of longitudinal and transverse motions. The size of these orbits decreases with depth, and a slight horizontal movement called Stokes drift occurs after each wave crest passes.
Particle Movement in Different Waves
In transverse waves, particles move in a direction perpendicular to the propagation of the wave. Examples of transverse waves include vibrations in a stretched string or ripples on the surface of water when viewed from the side. However, the surface water waves present a more complex motion. Particles in these waves move in circular orbits, which is a combination of longitudinal (back and forth) and transverse (up and down) motions.
Water waves are created when wind transfers energy to the water surface, leading to the oscillatory motion of water particles. The size of these circular orbits decreases as the depth increases. In deep water, particles move in closed circular paths, whereas in shallow water, their motion is elliptical due to the compression of the wave's energy.
Moreover, water waves display a phenomenon called Stokes drift, where particles are slightly displaced horizontally after the passage of each wave crest. This accounts for the small forward movement observed alongside the predominant up and down movement of the particles in the wave.
A sample of Bismuth-212 has a mass of 2.64 grams (g) after 121 seconds (s). What was the initial mass of the sample if Bismuth-212 has a half-life of 60.5 s?
The initial mass of the Bismuth-212 sample is 10.56 grams.
Explanation:To find the initial mass of the Bismuth-212 sample, we can use the concept of half-life. The half-life of Bismuth-212 is given as 60.5 seconds. Since the sample has a mass of 2.64 grams after 121 seconds, we can calculate the number of half-lives that have passed.
The number of half-lives is given by the formula: Number of Half-lives = Total Time / Half-life
So, the number of half-lives = 121 s / 60.5 s = 2 half-lives.
Since each half-life results in half the initial mass remaining, after 2 half-lives, the remaining mass would be (1/2)(1/2) = 1/4 of the initial mass.
If we let the initial mass be x grams, then after 2 half-lives, the remaining mass is (1/4)x grams.
Given that the remaining mass is 2.64 grams, we can solve for the initial mass:
(1/4)x = 2.64 grams
Simplifying, x = 2.64 grams * 4 = 10.56 grams.
Therefore, the initial mass of the sample of Bismuth-212 is 10.56 grams.
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What are the characteristics of high energy waves?
Choose one answer.
a. low frequencies and short wavelengths
b. high frequencies and long wavelengths
c. low frequencies and long wavelengths
d. high frequencies and short wavelengths
@agent0smith,
Find the conductivity of a conduit with a cross-sectional area of 0.40 cm2 and a length of 20.0 cm if its conductance G is 0.080 units.
Answer:
4.0
Explanation:
A 5 cm object is 18.0 cm from a convex lens, which has a focal length of 10.0 cm.
What is the distance of the image from the lens? Round your answer to three significant figures.
cm
What is the height of the image? Round your answer to three significant figures.
cm
The image distance from the lens is 22.5 cm, and the height of the image is -6.25 cm indicating it is inverted.
To determine the distance of the image from the lens and the height of the image, we use the lens formula and magnification formula.
Lens formula:
[tex]1/f = 1/d_o + 1/d_i[/tex]
Given:
Object distance ([tex]d_o[/tex]) = 18.0 cmFocal length (f) = 10.0 cmSubstitute the values:
[tex]1/10 = 1/18 + 1/d_i[/tex]
[tex]1/d_i = 1/10 - 1/18 = 0.1 - 0.0556 = 0.0444[/tex]
[tex]d_i = 22.5 cm[/tex]
So, the image distance from the lens is 22.5 cm.
Next, we calculate the height of the image using the magnification formula:
Magnification (m) = [tex]-d_i/d_o = h_i/h_o[/tex]
Given:
Object height ([tex]h_o[/tex]) = 5 cmImage distance ([tex]d_i[/tex]) = 22.5 cm[tex]h_i = h_o * (-d_i/d_o)[/tex]
Substitute the values:
[tex]h_i[/tex] = 5 * (-22.5/18)
[tex]h_i[/tex] = -6.25 cm
Therefore, the height of the image is -6.25 cm which indicates the image is inverted.