Answer:
D,Newton
Explanation:
b/c it is derived unit
Answer:
The newton
Explanation:
is drived because of its definition consist of multiplication of three defined base unit and nothing else it's not independently defined
A 375-pound concrete cylinder has a base area of 144 square inches. with the cylinder resting on its base, the pressure exerted by the concrete cylinder is greater than sea level pressure (i.e., 14.7 psi). the formula for pressure is:
The pressure exerted by the concrete cylinder is 2.60 pound/in².
We need to know about the pressure to solve this problem. Pressure is a unit that describes how much force is applied to a surface area. It can be determined as
P = F / A
where P is pressure, F is force and A is area.
From the question above, we know that
F = 375 pound
A = 144 in²
By substituting the given parameters, we can calculate the pressure
P = F / A
P = 375 / 144
P = 2.60 pound/in²
Thus, the pressure should be 2.60 pound/in².
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an anemometer is a device used to measure the speed of the wind. as the wind speed increases, its arms rotate faster and this rotation is measured electronically. suppose a relatively steady breeze is blowing.
A tool used to gauge wind direction and speed is an anemometer. It is a typical piece of weather station equipment. Any instrument used to measure wind speed in meteorology is referred to by this name, which is derived from the Greek word anemos.
Vane anemometers, thermal anemometers, thermal anemometers with velocity/temperature profiling, and cup anemometers are the four most widely used anemometer types.
The majority of the time, anemometers are categorized as constant-temperature or constant-power anemometers.
To calculate wind speed is as follows: Anemometer factor x instantaneous shaft speed equals instantaneous wind speed.
Average Wind Speed is calculated as follows: Anemometer Factor x (Time / Turns)
The force that the wind applies to a structure (or, really, any object) is known as wind pressure. The anemometer's cups rotate as the wind blows, spinning the centre rod. The rod spins more quickly the stronger the wind blows. The anemometer measures the revolutions, or turns, from which wind speed is determined.
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A tv news reporter once stated that a person was electrocuted when 20,000 volts of electricity surged through his body. What is wrong with this description? What was it that surged through his body?.
Answer:
Current doesn't surge or travel like water through the body, instead it is the electrons that move and make current. The signals sent inside our body are also in the form of electric current but meager to what is 20,000v means. In this case, the body couldn't survive and the 'current' formed inside the body met with the resistance of flesh, and as result gave heat burns. But above all the electricity doesn't flow, it's the electrons that move and make current inside the body.
Explanation:
Hope this helps.
in a simple electric circuit, ohm's law states that , where v is the voltage in volts, i is the current in amperes, and r is the resistance in ohms. assume that, as the battery wears out, the voltage decreases at 0.03 volts per second and, as the resistor heats up, the resistance is increasing at 0.01 ohms per second. when the resistance is 100 ohms and the current is 0.02 amperes, at what rate is the current changing? amperes per second
The value of decreasing current is 0.202m/s.
What is Ohm's law and it 's limitations?The relationship between current, voltage, and resistance is known as Ohm's law. German scientist proposed this connection. Ohm's law is referred to as such because of this. According to this, the voltage or potential difference across many different materials will directly affect how much constant current flows through them. As a result, if the voltage V (measured in volts) between two ends of a wire made of one of these materials is tripled, the current I (measured in amperes) also triples, yet the ratio V/I stays the same. A substance's resistance, measured in ohms, is the product of the ratio V/I for that particular piece of material.
We have given here ,
dV/dt= -0.04, dR/dt= 0.04 , R= 200
I= 0.01
From Ohm's law,
V= IR
dV/dt = IdR/dt + RdI/dt differentiating with respect to t ,
by applying values and solving it we get ,
dI/dt =-0.000202
Hence current is decreasing at 0.202 mA/s.
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How does a change in the solar constant impact the absorption of shortwave radiation and the emission of longwave radiation by the earth-atmosphere system?.
Solar constant never change, and hence there is no change in shortwave as well as longwave radiation by the earth's atmosphere
Solar constant is the rate at which the solar energy from the sun intercepts the earth's surface. It's value is 1,338watts per square meter.
Long wave radiation is a type of radiation emitted from earth whose wavelength ranges from 4 to 30 micrometers. While shortwave radiation is the radiant energy which is produced by the sun whose wavelength ranges from infrared to ultraviolet through visible.
We know that solar constant never change (constant), and the amount of shortwave that reaches the earth's atmosphere is called solar constant. As the solar constant does not change, there will be no change in shortwave as well as longwave radiation by the earth's atmosphere.
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an engineer decides to damp the oscillations by applying one shock absorber to each spring. these shock absorbers apply a velocity‑dependent drag force ????⃗
An engineer comes to a decision to dampen the oscillations by way of applying one shock absorber to each spring. those surprise absorbers practice a speed‑established drag force these shock absorbers follow a pace-structured drag pressure F = mv that opposes damping the oscillations making use of one surprise absorber to each spring.
Engineers, as practitioners of engineering, are specialists who invent, design, analyze, construct and take a look at machines, complicated structures, systems, devices, and materials to fulfill functional targets and necessities while considering the limitations imposed through practicality, law, safety, and value.
Engineers design, construct, and hold numerous complex systems and systems, from buildings to software programs. while there are many engineering professions, there's one steady engineering mindset: to innovate. A four-year university degree in technical know-how, mathematics, or engineering. Accreditation by an engineering firm comprised of ABET or the Accreditation Board of Engineers and Ers. engineering license. Non-traditional credentials including professional certificates work portfolios and coding.
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explain your observations: what do you think happened to the light from the lightbulb as it passed through the gas cloud before passing through the spectroscopy telescope?
If a gas of hydrogen atoms lies between you (your telescope + spectrograph) and a continuum light source, it will create an absorption line spectra, and if viewed from a different angle, an emission line spectrum.
Absorption lines allude to the propensity of cool atmospheric gas to absorb the same lines of light, whereas emission lines refer to the fact that burning hot gas produces lines of light.
Some of the light at specific wavelengths is scattered when it travels through the atmosphere's gas, producing darker bands. The wavelengths of light released when common materials were heated to form lines that became known as "spectral lines" were recorded.
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URGENT LAB QUESTIONS
Graded Assignment
Lab Report: Creating and Interpreting Graphs
Answer each question, using complete sentences. When you have finished, submit this assignment to your teacher by the due date for full credit.
Total score: ____ of 25 points
(Score for Question 1: ___ of 6 points)
1. Which variable did you choose for the independent variable? Which variable did you choose for the dependent variable? Explain.
Answer:
(Score for Question 2: ___ of 12 points)
2. How did the masses affect the spring? Which mass stretched the spring the farthest? The least? Explain your answer using your data. Include your data sheet and the graph of your data in your answer.
Answer:
Type your answer here.
(Score for Question 3: ___ of 7 points)
3. Describe your graph, was it linear or nonlinear? What conclusions can you draw based on the shape of the graph?
Answer:
Type your answer here.
Answer:
give the main question as I can not see the information
A car must be driven a distance of 120 km in 2.5 h. During the first 1.5 h, the average speed was 70 km/h. Calculate the average speed for the remainder of the journey.
The average speed for the remainder of the journey is 15km/h.
How to calculate average speed?Average speed of a moving body can be calculated by dividing the distance moved by the object by the time taken to complete the distance as follows;
Average speed = distance/time
According to this question, a car must be driven a distance of 120 km in 2.5 h, however, during the first 1.5 h, the average speed was 70 km/h.
First, the initial distance moved must be calculated as follows:
Distance = 1.5 hours × 70km/h = 105km
The remaining distance = 120km - 105km = 15km
Average speed for this remaining distance = 15km ÷ 1hr = 15km/h.
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If a car travels 12.0 km south then 5.0 km north in 0.25 h, what is its average velocity? It’s average speed?
The average speed and average velocity of the car is 68 km/h and 28 km/h respectively.
The change in position or displacement divided by the time periods during which the displacement occurs is known as average velocity. Based on the direction of the displacement, the average velocity might either be positive or negative. Average speed is the total distance travelled by an object to the total time taken.
The car travels 12 km then 5.0 km north in 0.25 h. The average speed and average velocity is given below.
Average speed = total distance/time
Average speed = (12+5)/0.25 = 68 km/h
Average velocity = displacement/time
Average velocity = (12-5)/0.25 = 28 km/h
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What is leptin released by and how would you predict the levels of leptin to be in nicole when compared to a healthy, female adult of similar age and weight?.
Leptin is released by adipocytes, and I predict that the levels of leptin would be decreased in Nicole when compared to a healthy, female adult of similar age and weight.
The body regulates itself in two ways, neural signals and hormones. Hormones are chemical messengers released by endocrine glands into the blood stream that carry out a particular function in the body. The hormone that regulates appetite and body weight is leptin.
Leptin is released by fat storing cells in the body called adipocytes. The word 'leptin' comes from a Greek word 'leptos' meaning 'fat controller', perfectly fitting its function. Since leptin is stored in the fat tissues, a person's weight has a direct effect on the levels of leptin in a person. When we lose weight, the amount of leptin circulating in the body decreases, leading to more appetite and weight gain.
A lack of leptin in the body, arising from genetic diseases results in uncontrolled appetite and obesity. Generally, female adults also produce less leptin than male adults
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A shopper walks from the door of the mall towards her car; she walks 165 m south
down one lane of cars, then turns to her left and walks another 55 meters to her
car. What is her displacement?
The displacement of the shopper is 172. 92 m.
What is the process of displacement?"Displacement" describes a change in an object's location. It is a vector quantity since it has a magnitude and a direction. Its emblem is an arrow leading from the starting point to the finishing point. For instance, if an object moves from position A to position B, its position changes.
She travels 165 meters south before turning and traveling a further 55 meters to her left.
If we construct the figure, her displacement will result in the hypotenuse of the triangle.
Therefore according to the question,
Displacement = √ { ( 165)² +(55 )² } m
= √(27225 + 3025) m
=√ 30250 m
= 172. 92 m
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a receiver in a football game is standing still, having just caught a pass. before he can move, a tackler, running at a velocity of 4.2 m/s, grabs him. the tackler holds onto the receiver, and the two move off together with a velocity of 3 m/s. the mass of the tackler is 120 kg. assuming that momentum is conserved, find the mass of the receiver.
The mass of the receiver is 103.261 kg.
Assume that m is the receiver's mass.
Prior momentum =(125*4.2)-m*0
After =2.3(125+m) momentum
525=287.5+2.3m
m=237.5/3.3
m=103.261kg
So, the mass of the receiver is 103.261kg.
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If two charged objects have a 125 N force between them when they are 3.00 m apart, what force exists between them when they are 15.0 m apart?
Answer:
I think it's 5.00 N
Explanation:
As you hurry to catch your flight at the local airport, you encounter a moving walkway that is 90 m long and has a speed of 2.1 m/s relative to the ground
.If it takes you 70 s to cover 90 m when walking on the ground, how long will it take you to cover the same distance on the walkway? Assume that you walk with the same speed on the walkway as you do on the ground.
The time taken for you to cover the same distance on the walkway is 26.6 seconds.
What is relative velocity?
The relative velocity of an object in motion is defined as the velocity of an object with respect to another observer.
The time taken for you to travel the same distance on the walkway with the given speed is calculated as follows;
Assuming you in the same direction as the walkway;
(Va + Vb)t = d
where;
Va is the speed of the walkwayVb is the your on the groundt is the time taken for you to travel the distanced is the distance of the walkwayYour speed on the ground is calculated as follows;
Vb = 90 m / 70 s
Vb = 1.286 m/s
Substitute the given parameters and solve for the time taken,
(2.1 m/s + 1.286 m/s)t = 90
(3.386)t = 90
t = 90/3.386
t = 26.6 seconds
Thus, we can conclude that if you maintain your speed on ground, it will take less time to travel the walkway.
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What kind of energy transfer occurs when an earthquake produces a large ocean wave called a tsunami
Answer: Mechanical waves transfer energy from rock to water.
Explanation: The particles of the medium just vibrate in place. As they vibrate, they pass the energy of the disturbance to the particles next to them, which pass the energy to the particles next to them, and so on. Particles of the medium don't actually travel along with the wave.
Answer:
Mechanical Waves
Explanation:
Mechanical waves are waves that require a medium for the transfer of their energy to occur. Water waves are an example of mechanical waves. Tsunami waves released after an earthquake transfer the energy of the quake to distant shorelines.
Hope this helps.
Design an experiment that will enable you to measure the force needed to be applied to cut into different materials with different shapes.
Various shapes are predetermined as then the student tries to cut them. As the shapes are cut, the magnitude of force required is measured.
What is the force?The term force is defined as that which causes an object to move or to change its direction. A force is typically a push or a pull. We could measure the applied force by the use of a Dynamometer .
In this case, we could determine the various shapes that we want to cut and then try to cut them. As we are cutting the shapes, we could now use the Dynamometer to determine the force applied.
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5. A car moves with an avg velocity of +12.5m/s. If it begins 137m behind the origin, where will it be after 7s?
Displacement = 1/2(Initial Velocity + Final Velocity)Time
If we plug in the values (0 as initial velocity, 12.5 as final velocity, 7 as time), we get 43.75 meters.
According to the given condition we are 137 meters behind the origin. That would mean our initial displacement is -137 meters. After driving for 7 seconds, the car would be 43.75 meters closer to the origin.
-137 + 43.75 = - 93.25 meters (or 93.25 meters behind the origin).
PLEASE HELP urgently!!!
1.The initial volume of a gas at a pressure of 5 atm is 3.5 L. What will the volume be if the pressure is increased to 6 atm?
Include units.
2. A gas is contained in a 4 L container at a pressure of 2 atm. The container is at a temperature of 15 degrees Celsius. What will the pressure be if the temperature is increased to 30 degrees Celsius?
Include units.
3. Calculate the decrease in temperature when 6.00 L of gas at 20.0 °C is compressed to 4.00 L.
Include units.
4. A 40.0 L tank of ammonia has a pressure of 5.5 atm. Calculate the volume of the ammonia if its pressure is changed to 8.2 atm while its temperature remains constant.
5. Determine the pressure change when a constant volume of gas at 1.5 atm is heated from 18 °C to 32 °C.
Taking into account the Boyle's law, Charles's law and Gay-Lussac's law, you get:
If the pressure is increased to 6 atm, the volume will be 2.92 L.If the temperature is increased to 30 degrees Celsius, the pressure will be 2.104 atm.When 6.00 L of gas at 20.0 °C is compressed to 4.00 L, the temperature will be 195.33 K.If its pressure is changed to 8.2 atm while its temperature remains constant, the volume will be 52.38 L.At 32°C, the pressure will be 1.43 atm.Boyle's lawBoyle's law states that the volume occupied by a given mass of gas at constant temperature is inversely proportional to the pressure: if the pressure increases, the volume decreases, while if the pressure decreases, the volume increases.
Boyle's law is expressed mathematically as
P×V=k
Considering an initial state 1 and a final state 2, it is fulfilled:
P₁×V₁=P₂×V₂
Charles's LawCharles's Law consists of the relationship between the volume and temperature of a certain amount of ideal gas.
This law says that for a given sum of gas at constant pressure, as the temperature increases, the volume of the gas increases, and as the temperature decreases, the volume of the gas decreases: the volume is directly proportional to the temperature of the gas.
Charles's law is expressed mathematically as:
V÷T=k
Considering an initial state 1 and a final state 2, it is fulfilled:
V₁÷T₁=V₂÷T₂
Gay-Lussac's law
Gay-Lussac's law determines that gas pressure is directly proportional to its temperature when the volume is constant: when there is a constant volume, when the temperature increases, the gas pressure increases and when the temperature decreases, the gas pressure decreases.
Gay-Lussac's law is expressed mathematically as:
P÷T=k
Considering an initial state 1 and a final state 2, it is fulfilled:
P₁÷T₁=P₂÷T₂
Exercise 1In this case, you know:
P₁= 5 atmV₁= 3.5 LP₂= 6 atmV₂= ?Replacing in the Boyle's law:
5 atm× 3.5 L= 6 atm×V₂
(5 atm× 3.5 L)÷ 6 atm= V₂
2.92 L= V₂
Finally, the volume will be 2.92 L.
Exercise 2In this case, you know:
T₁= 15°C= 288 KP₁= 2 atmT₂= 30°C= 303 KP₂= ?Replacing in Gay-Lussac's law:
2 atm÷ 288 K=P₂÷ 303 K
(2 atm÷ 288 K)× 303 K=P₂
2.104 atm= P₂
Finally, the pressure will be 2.104 atm.
Exercise 3In this case, you know:
V₁= 6 LT₁= 20 C= 293 KV₂= 4 LT₂= ?Replacing in Charles's law:
6 L÷293 K=4 L÷T₂
(6 L÷293 K)× T₂= 4 L
T₂= 4 L÷ (6 L÷293 K)
T₂= 195.33 K
Finally, the temperature will be 195.33 K.
Exercise 4In this case, you know:
P₁= 5.5 atmV₁= 40 LP₂= 8.2 atmV₂= ?Replacing in the Boyle's law:
5.5 atm× 40 L= 8.2 atm×V₂
(5.5 atm× 40 L)÷ 8.2 atm= V₂
52.38 L= V₂
Finally, the volume will be 52.38 L.
Exercise 5In this case, you know:
T₁= 18°C= 291 KP₁= 1.5 atmT₂= 32°C= 305 KP₂= ?Replacing in Gay-Lussac's law:
1.5 atm÷ 291 K= P₂÷ 305 K
(1.5 atm÷ 291 K)× 305 K=P₂
1.43 atm= P₂
Finally, the pressure will be 1.43 atm.
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Share an example from your house or neighborhood that represents a physical change occurring.
An example from my house or neighborhood that represents a physical change occurring is Breaking my mum's favorite drinking glass and melting of ice block to liquid.
What is the physical change?The material involved in a physical change has the same structural properties before as well as after the change. Texture, shape, as well as temperature, and an alteration in the state of matter are examples of a lot of physical changes.
Since Physical changes to matter are those that take place without altering their chemical makeup.
Therefore, Note that by breaking the glass, it is broken down to smaller pieces, which can still be glued together and its revisable.
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Sphere A is located at the origin and has a charge of +2.0 × 10- C. Sphere B is located at +0.60 m on the x-axis and has a charge of -3.6 x 10- C.
Sphere C is located at +0.80 m on the x-axis and has a charge of +4.0 x 10-6 C. Determine the net force on sphere A.
Answer:
F = 0.0675 N
Explanation:
The net force under sphere A is the sum of the force made by sphere B with the force made by sphere C.
By Coulomb's Law of force, we have:
F = k * Q*Q/d²
So:
Force (absolute value) of C on A:
F₁₃ = k * Q₁*Q₃/d²
F₁₃ = 9*10⁹ * (2.0*10⁻⁶)*(4.0*10⁻⁶) / (0.80)²
F₁₃ = 9/80 N = 0.1125 N
The vector:
F₁₃ = 0.1125 N (horizontal direction; pointed to the left side: repulsive)
Force (absolute value) of B on A:
F₁₂ = k * Q₁*Q₂/d²
F₁₂ = 9*10⁹ * (2.0*10⁻⁶)*(3.6*10⁻⁶) / (0.60)²
F₁₂ = 9/50 = 0.18 N
The vector:
F₁₂ = 0.18 N (horizontal direction; pointed to the right side: attractive)
The net force is F₁₂ - F₁₃:
F = 0.180 - 0.1125
F = 0.0675 N
1. SAMPLE: Pete is driving down 7th street. He drives 150 meters in 18 seconds. Assuming he does not speed up or slow down, what is his speed in meters per second?
Formula you need to use:
Speed = distance / time
OR S = D / T Variable letters, measurement with units
D = 150m
T = 18s
S = ?
Plug measurements into formula:
S = 150m / 18s
Answer with units:
S = ____
The speed in meter per second of Peter, given that he drove 150 meters in 18 seconds is 8.33 m/s
How do I determine the speed?We know that speed is defined as the distance travelled per unit. It can be expressed as:
Speed = distance / time
With the above formula, we can obtain the speed of Peter. Details below
From the question given, the following were obtained:
Distance = 150 metersTime = 18 secondsSpeed =?Speed = distance / time
Speed = 150 / 18
Speed = 8.33 m/s
From the calculation made above, the speed is 8.33 m/s
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a small button placed on a horizontal, rotating platform with diameter 0.320 mm will revolve with the platform when it is brought up to a rotational speed of 40.0 rev/minrev/min, provided the button is no more than 0.140 mm from the axis.
The ratio of friction force to normal force is expressed by the coefficient of friction, a dimensionless number. The platform and button have a friction coefficient of 0.329.
Given that the button's diameter is 0.520 m and its rotational speed is 35.0 rev/min, its distance from the axis is no greater than 0.240 m. This indicates that the button's placement circle's radius R is this.
The calculation for the angular velocity is shown below.
ω=2πf
where f is the revolution's speed.
ω=2*3.14*35/60
ω=3.67 rad/s
The friction coefficient is determined in the manner shown below.
μmg= mω²R
μ=0.329
The friction force between the button and the platform will be equal to the centripetal force acting on the button.
Hence we can conclude that the friction coefficient between the button and the platform is 0.329.
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A woman pulls a crate with a force of 66 N at an angle of 39 o with respect to the horizontal. If a frictional force of 3.9 N acts on the crate, what is the total work done on the crate, in joules (J), after it has moved a distance of 5.8 m?
According to the given statement The total work done on the crate in 17.57 J.
What is work done called?When a force is applied to an item, it is deemed to have "done work" if the object travels a distance in the direction of the force. The result of force and displacement are the same. Displacement times Force equals work.
Briefing:Mass of the crate, m = 66kg
Force applied by the worker, F = 3.9 N
Angle to the horizontal, θ = 39°,
Distance moved by crate, d=5.8m
Work = Force * Displacement
Total work done on the crate
W = Fcosθ × d
W = 3.9× cos 39 × 5.8
W = 17.57 J
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Simple Machines
Which pulley would require the least
amount of force to lift the weight?
R. Pulley A
S. Pulley B
T. Pulley C
V. They all require the same amount
of force.
A B C
Q4
According to the given figures pulley B requires the least
amount of force to lift the weight .
What are pullies?In order to move and change the direction of a taut cable or belt, or to transfer power between the shaft and cable or belt, a pulley is a wheel on an axle or shaft. an object that can be lifted or lowered by pulling a chain, rope, or belt across a wheel.
In order to work, elevators require numerous pulleys. A pulley system is a cargo lift device that enables lifting of cargo to higher floors. In wells, the bucket is lifted out of the well using a pulley system. several different Compound, moveable, and fixed pulleys are the three basic categories. Wheel and axle on a fixed pulley are fixed.
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after resting for 10 minutes, you decide to perform another explosive, one-time movement such as a standing vertical jump and again, exert maximal effort. you briskly push yourself up from a chair and walk about 1.5 minutes to arrive at a wall where a vertical jump measurement can be made.
In this case, anaerobic metabolism is utilized.
Anaerobic metabolism: What is it?The process of producing ATP anaerobically, also known as without oxygen or in the absence of oxygen, involves the direct phosphate transfer from phosphorylated intermediates like creatine phosphate or glycolytic intermediates to ADP, which in turn produces ATP.
What is the result of anaerobic metabolism?Lactic acid builds up as a result of the anaerobic metabolism of glucose, which causes metabolic acidosis. A base deficit results from the reaction between lactic acid and bicarbonate, which lowers serum bicarbonate levels.
What does aerobic versus anaerobic metabolism mean?Anaerobic metabolism only produces two ATP molecules for every glucose molecule while aerobic metabolism produces more ATP and depends on oxygen.
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why doesn't a heavy object accelerate more than a light object when both are freely falling? why doesn't a heavy object accelerate more than a light object when both are freely falling? the ratio of the weight to mass is the same for all objects in the same locality. the inertia of the heavy object equals the inertia of the lighter object, so their accelerations are the same. the inertia of the heavy object is just enough smaller than the inertia of the lighter object to counteract the larger gravity force. the larger air resistance force on the larger object makes it fall with the same acceleration.
The reason for this is that at a specific area, the acceleration brought on by gravity is constant. Lighter items are not accelerated more slowly by gravity than heavy ones.
The following are possible gravity values for the gravitational force between the earth (mass M) and an object of mass m:
F = GMm/r2 with r being the separation.
Now form Newton's second law,
F = ma where a is the acceleration.
Equating the two, ma= GMm/r2
a= GM/r2
This demonstrates that the mass m of the object being propelled is independent of the acceleration caused by gravity for some object (the mass M).
Additionally, the earth's gravitational pull causes free fall. This explains why there is a constant acceleration from gravity.
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Starting from rest, a marble first rolls down a steeper hill, then down a less steep hill of the same height. For which is it going faster at the bottom?.
The first and second marble have the same speed at the bottom.
We need to know about the conservation of energy to solve this problem. The energy can not be created or destroyed, the only way is to change to another form. It can be written as
Ei = Ef
where Ei is initial energy and Ef is the final energy
The potential energy of the first marble is the same as the second marble because they have the same height. According to conservation of energy, the potential energy will be converted to kinetic energy and the speed of the marbles will same at the bottom.
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Near the end of a bicycle race, Krystal accelerates at 0.36m/s^2 [E] for the final 15.0s. If her initial velocity is 11.0m/s [E], what is her final velocity?
The final velocity of Krystal who accelerated at 0.36m/s² for the final 15.0 s, having an initial velocity of 11.0m/s is 16.4m/s.
What is Krystal final velocity?Velocity is simply the speed at which an object moves in a particular direction.
Acceleration is the rate of change of the velocity of a particle or object with respect to time.
From the first equation of motion;
v = u + at
Where v is final velocity, u is initial velocity, a is acceleration and t is time elapsed.
Given the data in the question;
Acceleration a = 0.36m/s²Elapsed time t = 15.0sInitial velocity u = 11.0m/sFinal velocity v = ?To determine Krystal's final velocity, plug the given values into the equation of motion above and solve for v.
v = u + at
v = 11.0m/s + ( 0.36m/s² × 15.0s )
v = 11.0m/s + ( 0.36ms/s² × 15.0 )
v = 11.0m/s + ( 0.36m/s × 15.0 )
v = 11.0m/s + 5.4m/s
Final velocity v = 16.4m/s
Therefore, Krystal's final velocity for the final 15.0 seconds is 16.4m/s.
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Timmy is playing on a moving walkway like you find in an airport. He wants to have fun and decides to run backward on the moving walkway at 1.6 m/s with respect to the moving walkway he is on. Both Timmy and the moving walkway are going in the opposite directions. The walkway is going at 6.9 m/s. What speed is Timmy going with respect to a person watching this endeavor who is standing on solid ground beside the walkway?
The relative velocity is obtained as 5.3 m/s from the calculation as shown below.
What is motion?We know that motion refers to the change in the position of an object with time. Give that we know that motion is relative and the position of the two objects that are in motion must always be taken into consideration. In this case, we have the situation in which Timmy and his friends are moving backwards and the runway is moving forward thus they are actually moving in opposite directions as seen.
Let us note that velocity is a vector quantity hence we have to assign the forward direction as positive and the backwards direction as negative. Thus we can then take the relative motion between Timmy and his friend and the walk way can be obtained quite conveniently by the use of;
6.9 m/s - 1.6 m/s = 5.3 m/s
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