The amount in pounds of carbon monoxide does the motorcycle generate over 5.0 years if the motorcycle is driven 15,000 miles per year is 2.5 × 10³ lb CO. The correct answer is Option B.
To find the total amount of carbon monoxide emitted, we'll first convert miles to kilometers, and then convert grams to pounds using the following conversion factors.
1 mile = 1.60934 kilometers
1 pound = 453.592 grams
Total distance driven in 5 years = 15,000 miles/year × 5 years = 75,000 miles
Total distance in kilometers = 75,000 miles × 1.60934 km/mile ≈ 120,700 km
Total carbon monoxide emitted in grams = 120,700 km × 9.5 g/km = 1,146,650 g
Total carbon monoxide in pounds = 1,146,650 g × (1 lb / 453.592 g) ≈ 2,529 lb CO
So, the closest answer is:
B) 2.5 × 10³ lb CO
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Derive a relation for time period of simple pendulum from dimensional method
The time period of simple pendulum is 2xpi x (l/g)^1/2 when derived by dimensional method.
What is dimensional method and time period of simple pendulum?Dimensional method is a phenomena we use to derive by using the dimensions of the components given.Here the relation of the time period is 2 pi (l/g)^1/2 where l is the length of the pendulum , g is the gravity.Let 't' the time period be directly proportional to m^a l^b g^c where a, b , c are dimensions.We will us the principle of homogeneity of dimensions to solve this.a= 0b + c = 0 , using this method we calculate the value of dimensionless constant k = 2 pi , t= 2 pi (l/g)^1/2.To know more about dimension visit:
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Coulomb's law is similar to Newton's law of gravitation in several ways. Which one of the statements is not a similarity between these two laws?
a) In both laws, the force is inversely proportional to the square of the distance between two particles.
b) In both laws, the force decreases with increasing distance between the two particles.
c) In both laws, the force is proportional to the product of an intrinsic property of each of the two particles.
d) In both laws, the force is always one of attraction between the two particles.
e) In both laws, there is a proportionality constant that appears.
Out of the given statements, the statement which is not a similarity between these two laws is the force is always one of attraction between the two particles. Correct option is C.
Both Coulomb's law and Newton's law of gravitation are inverse square laws.
Coulomb's law, mathematically, is given as, F = k q₁ q₂/r²
where,
F is the electric force
k is the coulomb's constant
q₁, q₂ are the charges
r is the distance
Newton's law of gravitation is mathematically given as, F = G m₁ m₂/r²
where,
F is the gravitational force
G is the gravitational constant
The masses of two objects are m₁, m₂.
r is the distance
The square of the distance between two particles and the force are inversely related in both equations.
The force in both laws diminishes as the distance between the two particles grows.
The force is inversely proportional to the product of an intrinsic characteristic of the two particles in both laws.
A proportionality constant can be found in both equations.
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Need help on circuit question
The reaction between magnesium (Mg) and oxygen (O2) forms magnesium oxide (MgO).
a. Write a balanced chemical equation to represent this reaction.
b. Identify the type of reaction this represents.
Answer:
2 Mg + O2 = 2MgO
Type: Synthesis
A bullet of mass 10g is fired from a gun. The bullet takes 0.003s to move through its barrel and leaves it with a velocity of 300m/s. Find the force exerted on the bullet by the gun? [ Ans: 1000N]
Answer:
1,000 N
Explanation:
\(v=300 \text{ms}^{-1} ;u=0,t=000.3\text{s},m=0.01\text{kg}\)
Force exerted by the bullet on the rifle = \(\frac{m(v-u)}{\text{time}}\)
F = 1000N
Contextual Way:
Newton's second law of motion.
F=m a
Now to solve based on the current info, we shall assume that:-
The force exerted on the bullet was uniform across the entire duration of bullet leaving the barrel, i.e., 0.003 seconds {Not necessarily true for real life applications as the force will not be uniform from the point of hammer impact till the point of leaving the barrel. In reality you will get a Force profile across that entire duration}
We are not distinguishing between bullet and cartridge. {What you shall hold in your hand and load in a revolver is a cartridge containing the gunpowder, bullet etc. The bullet is the projectile at the mouth of the cartridge that actually leaves the barrel and hit the target. So when you are weighing in real life, you are not weighing the bullet, rather the cartridge as a whole}
Getting back to the question
Impulse equation for the bullet
∫F∗dt=∫m∗dv
Average impulse delivered= Change in momentum of the bullet
Assuming average force delivery
Favg∗∫dt=m∗∫dv
Favg∗0.003=0.010∗300
Favg=300∗10/3
Favg=1000N
Help ASAP!! Three factors that affect the solubility of a substance are pressure, the type of solvent, and __________
Answer:
Volume
Explanation:
A man pulls a refrigerator using 48 N of force. The refrigerator accelerates 0.35 m/s<2. What is the mass of the refrigerator
Answer: 137.14 kg
Explanation: F=ma (Force = mass x acceleration)
So, 48N (newtons) = m×0.35m/s²
N = kg (m/s²)
(48 kg m/s²)÷0.35m/s² = m
137.14 kg
note: answer is to the nearest hundredth because of the .035 m/s²
Which best describes what happens to sunlight after it passes through the keyhole of a door? It converges into one particular shadow region. It spreads out into multiple shadow regions. It bends back toward the door. It scatters back toward the door.
Multiple shadow regions can be observed in the wall behind the keyhole of a door. Option B is correct.
What is diffraction?
It is a phenomenon that happens when a wave (Light) is passed through a narrow aperture or a sharp edge, the light bends at the edges.
The light bends at the edges because the sharp edges have less diameter than the wavelength of light.
Therefore, multiple shadow regions can be observed in the wall behind the keyhole of a door.
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Answer: B) It spreads out into multiple shadow regions.
Explanation:
I got it right on edge
Question 23 of 25 Which statement describes a question that can guide the design of a scientific investigation? A. It asks about a cause-and-effect relationship between two variables. B. It asks about how the observations will be organized. C. It asks about whether a controlled variable is necessary. OD. It asks about the preferred outcome of the investigation.
Scientific investigation asks about a cause-and-effect relationship between two variables. Thus, the correct answer is (a).
Scientific investigation is intended to create a hypothesis and demonstrate its validity or lack thereof. Experiments must be conducted in order to test these hypotheses, and these experiments are planned in accordance with the discovery of a cause-and-effect relationship between the two variables under scientific investigation. In these experiments, the "cause" is variable upto various degrees, and the "effect" of the variance is noted. The experimental design, which will try to manipulate the causes to see how these manipulations impact the second variable, will thus be guided by knowledge of the cause-and-effect connection.
Observations are frequently the first step in a scientific investigation.
An observation is something that is discovered using the senses of humans or tools and measurement technologies that support the senses of humans. Important scientific discoveries may result from unintentional observations.
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What should happen to food right after it is thawed in a microwave oven?
Food that has been microwaved to thaw has to be cooked right away. Using low-temperature ovens and slow cookers to defrost frozen meals may result in temperatures that are conducive to bacterial development, thus these techniques should also be avoided.
What should happen to food as soon as it gets microwave-thawed?Always cook right away after thawing food in the microwave, in a regular oven, or on the grill. Before refreezing food that has been microwaved-thawed, it should be cooked.
In an enclosed dish, distribute the ingredients equally and, if necessary, add some liquid. With a lid or plastic wrap, cover the dish; remove or vent the lid or wrap to allow steam to escape. Bacteria will be helped to disappear by the moist heat that is produced.
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A 24.0-mw (milli-watts) laser puts out a narrow cylindrical beam 2.00 mm in diameter. What is the average rms e-field? n/c
which moon of the jovian planets has a thick, hazy atmosphere?
Why does the chlorine atom have a partial negative charge in a molecule of hydrogen chloride?
Answer:The molecule is represented by the conventional Lewis structure, even though the shared electron pair is associated to a larger extent with chlorine than with hydrogen. The unequal sharing of the bonding pair results in a partial negative charge on the chlorine atom and a partial positive charge on the hydrogen atom.
Explanation:
if two objects that have charges of +8 C and -4 C touch each other and are then separated what will be the charge on each object
Answer:
30q1
Explanation:
Uniformly charged spheres are “touching”. 4. What must be the distance between point charge q1 = 26.0µC and point charge q2 = −47.0µC
how would the acceleration of an object change if you doubled (2x) the force and quadrupled (4x) the mass
a. acceleration remains the same
b. acceleration would be twice as much
c. acceleration would be half as much
d. acceleration would be one-fourth as much
Answer:
acceleration will be twice as much
ACTIVITY 1: AGREE OR DISAGREE
Write AGREE, if you think the statement is correct and DISAGREE if otherwise
1. An RPE of 10 means that the activity is very light
2. Swimming and playing basketball are vigorous activities
3. Street and hip hip dances are active recreational activities
4. Proper execution of dance steps increases the risk of injuries
5. A normal nutritional status means that weight is proportional to the height
6. Physical inactivity and unhealthy diet are risk factors for heart disease.
7. Risk walking and dancing are activities which are moderate intensity
8. One can help the community by sharing his/her knowledge and skills in dancing
9. Surfing on the internet and playing computer games greatly improve one's fitness
10. A physically active person engages in 5-10 minutes of moderately vigorous physical activity three or more
times a week
1. DISAGREE: An RPE of 10 means the activity is extremely hard.
2. AGREE: Swimming and playing basketball are vigorous activities.
3. AGREE: Street and hip-hop dances are active recreational activities.
4. DISAGREE: Proper execution of dance steps reduces the risk of injuries.
5. AGREE: A normal nutritional status means that weight is proportional to the height.
6. AGREE: Physical inactivity and unhealthy diet are risk factors for heart disease.
7. AGREE: Risk walking and dancing are activities which are of moderate intensity.
8. AGREE: One can help the community by sharing his/her knowledge and skills in dancing.
9. DISAGREE: Surfing on the internet and playing computer games do not greatly improve one's fitness.
10. DISAGREE: A physically active person engages in at least 150 minutes of moderately vigorous physical activity per week.
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calculate the kinetic energy possessed by a uniformly moving body of mass 40 kg if it covers 800m in 40 seconds
Answer:
400J
Explanation:
s=d/t
s=800/40
s=20m/s
K.E= 1/2mv^2,
=1/2*40*20
=400 J
Determine the maximum theoretical speed that may be achieved over a distance of 60 m by a car starting from rest, knowing that the coef- ficient of static friction is 0.80 between the tires and the pavement and that 60 percent of the weight of the car is distributed over its front wheels and 40 percent over its rear wheels. Assume (a) four-wheel drive, (b) front-wheel drive, (c) rear-wheel drive
The maximum theoretical speed that can be achieved over a distance of 60 m by a car starting from rest depends on the coefficient of static friction and the weight distribution.
For a car with four-wheel drive, front-wheel drive, and rear-wheel drive, the maximum theoretical speeds can be determined using the principles of friction and weight distribution.
The maximum theoretical speed is limited by the maximum static friction force that the tires can provide. The maximum static friction force is determined by multiplying the coefficient of static friction by the normal force. In this case, the weight of the car is distributed differently depending on the drive type.
For four-wheel drive, the weight is evenly distributed between the front and rear wheels. For front-wheel drive, 60% of the weight is distributed to the front wheels, and for rear-wheel drive, 60% is distributed to the rear wheels.
Using the maximum static friction force, the maximum acceleration can be determined using Newton's second law, and then using the distance and acceleration, the maximum theoretical speed can be calculated using the equation v = √(2ad).
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A turntable must spin at 33.3 rev/min (3.49 rad/s) to play an old-fashioned vinyl record. How much torque must the motor deliver if the turntable is to reach its final angular speed in 1.70 revolutions, starting from rest? The turntable is a uniform disk of diameter 30.5 cm and mass 0.220 kg.
ANSWER:
0.00145 J
STEP-BY-STEP EXPLANATION:
Using the rotational form of the kinematic equation to find α:
\(\omega^2_f=\omega^2_i+2\alpha\theta\)It started form rest:
\(\begin{gathered} \omega^{}_i=0\text{ rad/s} \\ \theta=1.7\text{ rev }=3.4\pi\text{rad} \end{gathered}\)Solving for α:
\(\begin{gathered} \alpha=\frac{\omega^2_f}{2\theta} \\ \alpha=\frac{3.49^2}{2\cdot3.4\pi} \\ \alpha=0.57rad/s^2 \end{gathered}\)The torque is given by the formula,
\(\begin{gathered} \tau=I\alpha \\ \text{for a uniform disk} \\ I=m\cdot\frac{r^2}{2},\text{ along the vertical a}\xi s\text{ in the center.} \\ \text{Therefore,} \\ \tau=m\cdot\frac{r^2}{2}\cdot\alpha,r=\frac{0.305}{2}=0.1525 \\ \text{ replacing} \\ \tau=0.22\cdot\frac{0.1525^2}{2}\cdot0.57 \\ \tau=0.00145\text{ J} \end{gathered}\)For an RLC ac circuit, the rms current is 10 A. If the impedance is 12 kΩ when the voltage
leads the current by 39°, find the average power of the circuit.
A) 930 kW
B) 47 kW
C) 93 kW
D) 190 kW
For an RLC AC circuit, the rms current is 10 A and the impedance is 12 kΩ when the voltage leads the current by 39°, the average power of the RLC circuit is 93 kW.
We can use the formula P = I^2Rcos(θ) to find the average power of the circuit, where P is power, I is rms current, R is impedance, and θ is the phase angle between voltage and current. Plugging in the given values, we get P = (10)^2 x 12,000 x cos(39) = 93,049.98 W or 93 kW (rounded to nearest whole number).
The positive value of power indicates that energy is being delivered to the circuit. It's worth noting that the phase angle of 39° indicates that the circuit is capacitive, meaning that the capacitor in the circuit is causing the current to lead the voltage. This can be confirmed by the fact that the impedance is a pure resistor, which would not cause a phase shift, and the phase angle is positive, indicating a leading current.
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a fragment of bone is discovered during an archaeological dig. the bone contains carbon-14 isotopes of the element carbon. the bone is approximately 23000 years old. calculate what proportion of the carbon-14 isotopes remains. give your answer to the nearest whole fraction. the half life of carbon-14 is 5730 years.
When a fragment of bone containing carbon-14 isotopes of the element carbon is discovered during an archaeological dig, and it is estimated to be approximately 23,000 years old, one can calculate the proportion of the carbon-14 isotopes that remains.
The half-life of carbon-14 is 5,730 years. Carbon-14 has a half-life of 5,730 years, which implies that half of the carbon-14 atoms will decay every 5,730 years. This property of carbon-14 may be used to determine the age of ancient artefacts and fossils. By determining the proportion of carbon-14 remaining in a sample, we may determine how old it is.According to the problem, the bone is around 23,000 years old. We can utilize the following formula to calculate the proportion of carbon-14 isotopes that remain: Proportion remaining = (1/2)^(number of half-lives)We can first calculate the number of half-lives that have occurred since the bone was alive. The number of half-lives is calculated as follows:Number of half-lives = (time elapsed) / (half-life)Number of half-lives = 23,000 / 5,730Number of half-lives = 4.016So the number of half-lives that have occurred since the bone was alive is 4.016. We can now use this number to calculate the proportion of carbon-14 isotopes that remains:Proportion remaining = (1/2)^(4.016)Proportion remaining = 0.105Therefore, the proportion of carbon-14 isotopes that remains is 0.105, or approximately 1/10 (to the nearest whole fraction).For such more question on Proportion
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5. Ocean temperatures are increasing under climate change. What effect do you think this might have on the biological pump?
If ocean temperatures are increasing under climate change, then it might alter the carbon cycle and therefore it may have negative outcomes on the biological pump.
What does the biological pump mean?The term biological pump makes reference to the mechanism by which inorganic carbon atoms can be fixed into organisms due to photosynthetic processes, which is key to maintaining the homeostasis of the biosphere.
Therefore, with this data, we can see that the increase in ocean temperature may impact on the state of equilibrium of the biosphere by altering the carbon cycle and consequently affecting the biological pump.
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8. (a) A small particle of potassium permanganate was put in water in a beaker and left to stand for two hours. (1) State the observation made. (ii) Explain the above observation. (1 mark) (1 mark) (b) Water was continually added to a small portion of the solution formed in (a) until in excess. (1) State the observation made. (1 mark) (ii) What does this observation suggest about the particulate nature of matter? (1 mark)
The initial observation of a purple-colored solution formed when a potassium permanganate particle was added to water is due to the dissolution of the compound, which releases colored MnO4- ions into the solution.
(a)
(i) The observation made after two hours of leaving the potassium permanganate particle in water would be the formation of a purple-colored solution.
(ii) The above observation can be explained by the dissolution of the potassium permanganate particle in water. Potassium permanganate is a water-soluble compound.
When it is added to water, the particles of potassium permanganate dissociate into potassium (K+) and permanganate (MnO4-) ions. The purple color of the solution is due to the presence of the MnO4- ions, which are intensely colored.
(b)
(i) The observation made when water is continually added to the solution formed in (a) until in excess would be the disappearance of the purple color and the formation of a colorless solution.
(ii) This observation suggests that the particulate nature of matter is such that the excess water added to the solution causes further dilution of the solution. As more water is added, the concentration of the potassium permanganate ions decreases.
Eventually, when enough water is added, the concentration of the ions becomes extremely low, resulting in a colorless solution. This indicates that the color of the solution was dependent on the concentration of the colored ions.
In summary, the initial observation of a purple-colored solution formed when a potassium permanganate particle was added to water is due to the dissolution of the compound, which releases colored MnO4- ions into the solution. The subsequent observation of a colorless solution upon adding excess water suggests that the concentration of the colored ions has decreased to a point where they are no longer visible to the eye.
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The famous astronomer, Kepler, determined that the planetary orbits were: 1. ellipses 2. circles 3. epicentric 4. geocentric
Answer:
geocentric
i hope this helps!!!!
Explanation:
The wave equation says that a wave's speed is equal to its wavelength times its _________________.
Answer:
Frequency
Explanation:
speed = wavelength * speed
What do we call the energy that is transferred to
a substance without the substance's temperature
changing?
Answer:
Latent heat
Latent heat is the heat needed to change a state without a change in temperature.
Explanation:
Hope this helps :D
The gravitational force between two students sitting beside each other on Earth is
Answer:
Fgrav. = GM1×M2/R2
Explanation:
Gravitational force is mostly related
to planetary bodies by Newton's law of gravitation which states that the gravitional force is proportional to the product of the mass of the object and inversely proportional to the square of the distance between them.
Hence in this case the Gravitational force,
Fgrav. = GM1×M2/R2
M1 and M2 are the mass of the two students and R is their distance apart
G is a constant known as gravitational constant.6.67408 × 10-11 m3/kgs2
explain why source superposition applies directly to computation of current and voltage, but cannot be applied directly to computation of power.
While source superposition is a valuable tool for computing current and voltage, it is not directly applicable to the computation of power.
Source superposition is a principle used in circuit analysis to simplify complex circuits. It states that the total current or voltage in a circuit is equal to the sum of the individual contributions from each source.
This principle is directly applicable to the computation of current and voltage because it allows us to break down a circuit into smaller parts and analyze them separately.
However, when it comes to the computation of power, source superposition cannot be applied directly. This is because power is a product of both current and voltage, and source superposition only applies to the individual contributions of current or voltage from each source.
Power depends on the interaction between the different sources in a circuit, and simply adding the individual contributions of power from each source does not accurately reflect the overall power in the circuit.
To compute power, one needs to consider the interaction between sources, such as the power dissipated or delivered by components in the circuit. This involves analyzing the overall circuit and taking into account factors like load resistance, reactive elements, and phase relationships.
Therefore, while source superposition is a valuable tool for computing current and voltage, it is not directly applicable to the computation of power.
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Gabriel is sledding down a snowy hill. At which of the following positions will Gabriel's potential energy be the least and his kinetic energy be the greatest?
A. 3
B. 2
C. 1
D. 4
Which, if any, of the heat engines in FIGURE EX 21.22 violate (a) the first law of thermodynamics or (b) the second law of thermodynamics? Explain.(b) violates first law of thermodynamics .(a) violates the second law of thermodynamics .
As per the figure , heat engines, (b) violates the first law of thermodynamics and (a) violates the second law of thermodynamics.
What is the First Law of Thermodynamics?The First Law of Thermodynamics states that energy cannot be created or destroyed but can be transferred from one form to another. It's often referred to as the Law of Conservation of Energy.
What is the Second Law of Thermodynamics?The Second Law of Thermodynamics states that energy is constantly changing from a more concentrated to a less concentrated state. As a result, heat is not going to spontaneously flow from a colder body to a hotter one. The entropy of a closed system can only increase or remain constant.
What is Heat Engines?Heat engines are devices that convert thermal energy to mechanical energy. In heat engines, the energy absorbed as heat is transformed into mechanical work by following the laws of thermodynamics, particularly the second law. The efficiency of a heat engine is always less than 100 percent, according to the second law of thermodynamics. The Carnot cycle, a theoretical thermodynamic cycle, is the most efficient heat engine cycle.
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Complete question: