Answer:
i) 8.0mii) 6.32mExplanation:
i) The total distance traveled will be the sum total of individual distances traveled by the man.
If the man travels a distance if 1.5 m towards east ,then 2m towards south and 4.5 m towards east, the total distance traveled will be expressed as; 1.5m+2m+4.5m
= 8.0m
ii) In order to get the man resultant displacement, we will use the Pythagoras theorem. Since the man travels a distance if 1.5 m and 4.5m towards east, the total distance taken towards east will be 6.0m and the distance traveled towards south is 2.0m. The resultant displacement of the man is expressed as;
R = \(\sqrt{x^{2}+y^{2} }\)
Note that the eastward direction is the x-direction while the south direction is the y-direction.
x = 6.0m and y = 2.0m
\(R = \sqrt{6^{2}+2^{2} } \\R = \sqrt{36+4}\\ R = \sqrt{40} \\R = 6.32m\)
The displacement of the man is 6.32m
A man is pulling on his dog with a force of 34.7 N directed at an angle of 24.4° to the horizontal. Find the x component of this force.
Answer:
\(31.7\:\mathrm{N}\)
Explanation:
We can use basic trig in a right triangle to solve this problem. Let the x component of the force be \(x\). We have the following equation:
\(\cos 24^{\circ}=\frac{x}{34.7},\\x=34.7\cos 24^{\circ}\approx \boxed{31.7}\)
how can i define Thermal (Internal) Energy?
Answer:
The thermal energy of the system is the average kinetic energy of the system's constituent particles due to their motion. The total internal energy of the system is the sum of the kinetic energies and the potential energies of its constituent particles.
Estimate the number of apples that is the energy equivalent of 1 gallon of gasoline.
Estimating the number of apples that is the energy equivalent of 1 gallon of gasoline is difficult, as the energy content of both substances is different. However, we can calculate the energy content of one gallon of gasoline and compare it to the energy content of one apple. So, approximately 1,045,454 medium-sized apples will be the energy equivalent of one gallon of gasoline.
Explanation:
What is the energy content of 1 gallon of gasoline?
The energy content of gasoline is measured in British Thermal Units (BTUs). According to the US Energy Information Administration, one gallon of gasoline contains approximately 115,000 BTUs.Therefore, to calculate the number of apples that are the energy equivalent of one gallon of gasoline, we need to determine the energy content of one apple.
Calculating the energy content of apples:
The energy content of an apple varies depending on its size and type, but on average, one medium-sized apple contains about 95 calories or 0.00011 BTUs.To calculate how many apples are equivalent to one gallon of gasoline, divide the BTU content of gasoline by the BTU content of one apple:115,000 BTUs ÷ 0.00011 BTUs/apple ≈ 1,045,454 applesTherefore, approximately 1,045,454 medium-sized apples are the energy equivalent of one gallon of gasoline.
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A 63.0 kg astronaut is at rest in the middle of space. The astronaut throws a spare 10.0 kg oxygen tank in a direction away from the shuttle with a speed of 12.0 m/s. What is the final speed of the astronaut after she throws the oxygen tank?
Show your equation
the galactic halo or corona is believed to contain mostly
The galactic halo or corona is believed to contain mostly dark matter.
Dark matter is a hypothetical form of matter that does not interact with light or electromagnetic radiation, making it difficult to directly detect and observe. However, its presence is inferred through its gravitational effects on visible matter.
Observations and simulations suggest that galaxies, including our Milky Way, are embedded in large halos of dark matter. These halos extend well beyond the visible regions of the galaxies and are thought to contribute significantly to their total mass. The galactic halo or corona refers to the outer regions of a galaxy where the density of stars and gas is much lower compared to the central region.
The dominant presence of dark matter in the galactic halo is deduced from measurements of the rotational velocities of stars and gas in galaxies. The observed velocities indicate that there is more mass present than can be accounted for by visible matter alone. Dark matter is believed to play a crucial role in providing the gravitational pull required to explain the observed motions of stars and galaxies.
While the exact nature of dark matter remains unknown, it is thought to be a fundamental component of the universe, constituting a significant portion of its mass.
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Note- The complete question is
What is believed to be the main component or composition of the galactic halo or corona?
5 ohms resistors are connected in parallel, the equivalent resistance is?
Types of Spectra 5) Stars like our Sun have low-density, gaseous atmospheres surrounding their hot, dense cores. If you were looking at the spectra of light coming from the Sun (or any star), which of the three types of spectrum would be observed? Explain your reasoning.
The spectrum observed from the Sun (or any star) would exhibit an absorption spectrum. This is because the outer gaseous atmosphere of the star absorbs specific wavelengths of light, resulting in dark absorption lines in the spectrum.
In the cooler, lower-density outer atmosphere, where white light from the star travels, some atoms or molecules in the atmosphere absorb photons with particular energy. In the spectrum, these absorptions show up as black lines at specific wavelengths. The specific set of absorption lines that each element or molecule generates results in a distinctive pattern that can be used to identify the elements that are present in the star's atmosphere.
The absorption spectrum offers insightful data on the chemical make-up and physical characteristics of the star. Astronomers can ascertain the elements present, their abundances, and other characteristics like the temperature, pressure, and velocity of the star's atmosphere by examining the absorption lines.
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(a) Explain why air in excess of that theoretically required for complete combustion is needed on practical fuel burners and what effect the excess air has on the combustion process. (b) A boiler burns C10H22 with 20% excess air. Assuming complete combustion find: (1) The complete combustion equation. (7 Marks) (ii) The volume percentages of CO2 and O2 in the dry products of combustion. (6 Marks) (ii) The air-fuel ratio by mass. (4 Marks) (iv) The dew point for the products of combustion if the exhaust gas pressure is 101325Pa (4 Marks)
The dew point for the products of combustion is 52.9 °C.
(a) In practical fuel burners, air in excess of that theoretically required for complete combustion is needed to ensure that combustion is complete and that products of combustion are safe to discharge into the environment. The excess air provides additional oxygen that is used to complete the combustion of any combustibles that were not burned during the initial combustion process. The effect of excess air on the combustion process is that it lowers the temperature of the flame and reduces the concentration of pollutants in the flue gas.
(b) The complete combustion equation is: C10H22 + (32 + 11.5 × 2)O2 → 10CO2 + 11H2O
For complete combustion, the volume percentage of CO2 and O2 in the dry products of combustion is 8% and 10% respectively. The air-fuel ratio by mass can be calculated as follows:
Air-fuel ratio by mass = Mass of air / Mass of fuel
Mass of air = Mass of fuel × (1 + Excess air) Mass of fuel = 1 kg
Excess air = 20% = 0.2Air-fuel ratio by mass = (1 + 0.2) / 1 = 1.2
The dew point for the products of combustion can be calculated as follows:
Dew point = (288.3 / (ln(P / 100) - 42.677)) - 273, where P is the exhaust gas pressure in Pa.
Dew point = (288.3 / (ln(101325 / 100) - 42.677)) - 273Dew point = 52.9 °C
Therefore, the dew point for the products of combustion is 52.9 °C.
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how can you reduce the percentage uncertainty in measurements that you make?
tin shear have longer handles than than the scissor used to cut cloth give reason
Answer:
For scissor, small movement at effort(at handle) should make long movement of load arm , so that it can cut longer lengths of cloth/paper. Hence blades are longer than handle.so its handle(load arm) is made longer than its blades.
Explanation:
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What is your(human) role in energy transition? Write 5 points
with arguments
Human roles in energy transition are:
Consumer choicesAdvocacy and awarenessEnergy efficiencySupport for innovation:Community engagement: Consumer choices: The conscious choice of sources creates a market need for clean energy sources and signals to energy providers the need for sustainable solutions. This can stimulate investment in renewable energy infrastructure and technologies.Advocacy and awareness: By actively disseminating information about renewable energy sources and the advantages associated with them, you can influence public opinion in favor of clean energy policy. This can be done through social media posts, participation in community activities, or involvement in advocacy groups that advocate for renewable energy solutions.Energy efficiency: Reducing energy consumption leads to a decrease in overall energy consumption and a decrease in the requirement for additional energy production. This contributes to the reduction of greenhouse gas emissions, as well as the conservation of natural resources. Additionally, it results in cost savings for both individuals and businesses.Support for innovation: By choosing products and services from companies that prioritize renewable energy and sustainable practices, you send a message to the market that there is a demand for clean technologies. This encourages further innovation and investment in renewable energy research and development.Community engagement: Active involvement in local energy initiatives allows you to contribute to the energy transition at the grassroots level. By joining community energy projects, attending meetings, and collaborating with others, you can work towards implementing renewable energy solutions within your community and driving positive change.By taking these steps, you can actively contribute to the energy transition and be a part of the movement toward a more sustainable and clean energy future.
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Directions: Follow the steps below to help you understand electrical charges.
Materials
You will need: a plastic bag, two long rubber bands, a thin aluminum pie tin, a wool scarf or glove, and a friend or family member to assist you.
• STEP 1: Stretch the rubber bands across the pan-they should cross one another. Lay the bag flat on the table and rub it several times with the wool.
• STEP 2: With one hand, lift the pan by the rubber bands; be sure to keep your fingers from touching the pan,
• STEP 3: Bring the pan and the bag together. While they are together, ask someone to touch the pan quickly. What happens?
• STEP 4: Now take the pan away from the bag, still keeping your fingers from touching the pan. Right away, bring the pan up to your nose. What do you feel?
What do you hear?
• STEP 5: Now complete Steps 1-4 again, but do them in a dark room or closet. Ask a friend or family member to be in the room with you-what did he or she see
when you brought the pan to your nose?
Using the Text Editor, explain your observations and what happened during this experiment. What was happening to the electrical charges during the experiment and
why?
In this experiment, rubbing a plastic bag against wool allowed electrons to move back and forth between the two, creating a negative charge on the bag. When the negatively charged bag was brought close to the neutral PAN, the bag's negative charge attracted the PAN's electrons, separating the two charges and leaving the PAN with a positive charge. On touching the pan the surplus positive charge was neutralized, creating a spark.
When the pan was brought up to the nose a slight jolt was felt and a crackling sound was heard. This resulted in the excess charge in the pan being carried through the air to the nearest conductor, the person holding the pan.
The spark and shock were easy to see in a dark environment as there was no ambient light to obstruct the view. The blow was more pronounced and distinct, and the spark appeared as a bluish glow.
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The moon completes one (circular) orbit of the earth in 23.7 days. The distance from the earth to the moon is 3.84×10^8m. Calculate the centripetal acceleration.
Given that distance of moon from the earth is, R= 3.84 x 10^8 m
Also, time taken to complete one revolution is, T= 23.7 days = 2047680 seconds
Mass of the moon is, m= 7.347 Kg
To find the centripetal acceleration,
\(a_c=\frac{m4\pi^2R}{T}\)Substituting the values, we get
\(undefined\)What are 3 things happened to the alpha particles in Rutherford a experiment
Answer:(:
Explanation:
discovered alpha and beta rays, and proposed the laws of radioactive decay.
what is potentiometer
Answer:
potentiometer is a device used to measure potential difference across the circuit
Question 1 of 10
Which option is a potential environmental benefit of adopting a new
technology?
A. Expanded customer base
B. Improved product quality
C. Higher numbers of sales
D. Reduced emission of pollutants
SUBMIT
Answer:
Its obviously number D
Explanation:
When it comes to environmental benefit, Reducing emission of pollutants does the best job.
Reduced emission of pollutants is a potential environmental benefit of adopting a new technology.
What are pollutants?The elements, molecules, and particles that contribute to pollution are known as pollutants; life can be injured by exposure to these substances, and their impacts on people and plants are widely documented.
There are several ways that pollutants can enter the environment, both naturally and through human activity.
Depending on the type of pollution, what happens to it once it is released into the air, soil, or water supply.
Therefore, Reduced emission of pollutants is a potential environmental benefit of adopting a new technology.
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The acceleration of a Tesla that maintains a constant velocity of 120 km/h over a time of one-half hour is
A. 60 km/h.
B. 240 km/h.
C. 120 km/h.
D. zero because of no change in velocity.
The acceleration of a Tesla that maintains a constant velocity of 120 km/h over a time of the one-half hour is D, which is zero because there is no change in velocity.
Acceleration is defined as the rate of change of velocity, so if there is no change in velocity, there can be no acceleration. The Tesla is maintaining a constant speed of 120 km/h, meaning that it is not accelerating or decelerating. This is also known as uniform motion, which occurs when an object moves with a constant speed in a straight line. Therefore, the answer is D, zero acceleration.
It is important to note that while the Tesla is not accelerating, it is still moving and expending energy to maintain its speed. This highlights the efficiency of electric vehicles, which can maintain high speeds without constantly accelerating and decelerating.
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A cyclist changes its speed going down hill from 22 m/s to 37 m/s in 2 seconds. Calculate the acceleration of the cyclist.
Answer:
7 1/2m/s/s
Explanation:
37-22=15
15/2=7 1/2
Open and Closed circuit similarities
Answer:
An open circuit is one where the continuity has been broken by an interruption in the path for current to flow. A closed circuit is one that is complete, with good continuity throughout
A baseball bat is balanced on a fulcrum. The center of gravity of the bat is located
A) closer to the handgrip.
B) above the fulcrum.
C) closer to the heavy end.
The center of gravity of a baseball bat is typically closer to the heavy end of the bat. As a result, the center of gravity of the bat will be located closer to the heavy end than to the handgrip. Therefore, the correct answer is C) closer to the heavy end.
This is because the mass of the bat is concentrated in the barrel end, which is heavier than the handle. When the bat is balanced on a fulcrum, the heavy end of the bat will naturally want to fall downward due to the force of gravity.
The center of gravity is the point at which the weight of an object can be considered to be concentrated. It is the average position of the weight distribution of the object. When a baseball bat is balanced on a fulcrum, the center of gravity of the bat must be directly above the fulcrum in order for the bat to remain in a state of equilibrium.
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how old would i be if i have lived 1,000,000,000 seconds ? (i am 14 btw)
Which objects would sink in honey, which has a density of 1.4 g/cm³? Check all that apply.
Answer:
any object that has density more than 1.4
Explanation:
The object that has density more than 1.4 is denser than the honey
2) describe and name the different types of collision. in which are the linear momentum and kinetic energy conserved?
There are three main types of collisions that are elastic, inelastic, and perfectly inelastic. In an elastic collision, both linear momentum and kinetic energy are conserved.
In an elastic collision occurs when objects bounce off each other without any deformation or generation of heat. An example of an elastic collision is the interaction between two billiard balls. In an inelastic collision, linear momentum is conserved, but kinetic energy is not. Some of the kinetic energy is converted into other forms of energy, such as heat or deformation of the objects involved. Most real-world collisions fall into this category, like a car crash or a baseball being hit by a bat.
Perfectly inelastic collisions are a specific type of inelastic collision where the objects involved stick together after impact, moving as one mass. Linear momentum is conserved in this case, but kinetic energy is not, as it is partially converted into other forms of energy. An example of a perfectly inelastic collision is when two pieces of clay collide and stick together. In summary, the different types of collisions are elastic, inelastic, and perfectly inelastic. Linear momentum is conserved in all types, while kinetic energy is only conserved in elastic collisions.
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Describe one practical use of a concave mirror.
Answer:
Here are some uses...
Explanation:
Uses of convex mirror:
It is used in supermarkets and stores for surveillance.
It it is used as rear view mirror in automobiles.this is due to the reason that a convex mirror provides a wider field of view than a plane or concave mirror.
Uses of concave mirror:
It is used in torches.
They are used in headlights of vehicles to send parallel rays to infinity , in shaving mirror to get an enlarged image of the face and also by dentists to see a bigger image of the tooth / teeth .
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A 1 m3 tank containing air at 25°C and 500 kPa is connected through a valve to another tank containing 4 kg of air at 60°C and 200 kPa. Now the valve is opened and the entire system reaches thermal equilibrium with the surroundings at 20°C. Assume constant specific heat at 25°C and determine the final pressure and the heat transfer.
In a 1 m3 tank containing air at 25°C and 500 k Pa is connected through a valve to another tank containing 4 kg of air at 60°C and 200 k Pa.The final pressure is 284.23 k Pa and the heat transfer is -1242 J.
The initial state of the air in tank A is:
Mass: m1 = 1 m3 / (257.14 m3/kg) = 0.039 kg
Temperature: T1 = 25°C = 298.15 K
Pressure: P1 = 500 k Pa
The initial state of the air in tank B is:
Mass: m2 = 4 kg
Temperature: T2 = 60°C = 333.15 K
Pressure: P2 = 200 k Pa
The final state of the air is:
Mass: m = m1 + m2 = 4.039 kg
Temperature: T = 20°C = 293.15 K
The specific heat of air at 25°C is c = 1010 J/kg/K.
The heat transfer is Q = mC(T_f - T_i) = 4.039 kg * 1010 J/kg/K * (293.15 K - 298.15 K) = -1242 J
The final pressure is P_f = P_1 * m_1 / m + P_2 * m_2 / m = 500 k Pa * 0.039 kg / 4.039 kg + 200 k Pa * 4 kg / 4.039 kg = 284.23 k Pa
Therefore, the final pressure is 284.23 k Pa and the heat transfer is -1242 J.
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The student applies a force of 40 N to 20 kg box Assume there is negligible friction between the box and the floor. Calculate the magnitude of the box’s acceleration.
Answer:
cant be calculated since there is no direction and magnitude needs direction
Explanation:
Is 1000mm equal with 1 km?
Answer:
No 1000mm equal 0.001km
1000 millimeters = 0.001 kilometer
Formula: divide the value in millimeters by 1000000 because 1 kilometer equals 1000000 millimeters.
So, 1000 millimeters = 1000/1000000
= 0.001 kilometer.
How do you convert 1000 millimeters into kilometers?
To transform 1000 millimeters into kilometer, you just need to multiply the quantity in millimeters by the conversion factor, 1000.
So, 1000 millimeters in kilometers = 1000 times 1000 = 0.001 kilometer, exactly. See details on the formula below on this page.
Q2: A square loop of wire, with sides of length a, lies in the first quadrant of the xy plane, with one corner at the origin. In this region, there is a non-uniform time-dependent magnetic field B(y,t)= ky³t22 (where k is a constant). Find the electromotive force (emf) induced in the loop. (5 marks)
Given that a square loop of wire, with sides of length a, lies in the first quadrant of the xy plane, with one corner at the origin. In this region, there is a non-uniform time-dependent magnetic field B(y,t) = ky³t²/2 (where k is a constant).
The magnetic flux through the square loop of wire is given by:
ϕ = ∫∫B.da
Where da is the area vector whose magnitude is equal to the area of the infinitesimal area element in the direction of the normal to the surface. Let us consider the square loop to be in the xy plane as shown below:
The normal to the surface of the square loop of wire is perpendicular to the xy plane, which is in the positive z-direction. Thus, the area vector of the infinitesimal area element is given by da = kˆdxdy, where kˆ is the r unit vector in the positive z-direction.
The electromotive force induced in the loop is given by:
ε = -dϕ/dt
The magnetic flux through the square loop of wire can be written as:
ϕ = ∫∫B.da = k ∫∫ y³t²/2 dx dy
The limits of integration are as follows:
0 ≤ x ≤ a and 0 ≤ y ≤ a
Hence, the magnetic flux through the square loop of wire can be written as:
ϕ = k ∫∫ y³t²/2 dx dy = k t²/2 ∫∫ y³ dx dy = k t²/2 ∫₀ₐ∫₀ₐ y³ dy dx = k t²/2 [∫₀ₐ y³ dy] [∫₀ₐ dx] = k t²/2 [y⁴/4]₀ₐ [a] = ka⁴t²/8
The electromotive force induced in the loop is given by:
ε = -dϕ/dt = -ka⁴t/4
Hence, the electromotive force induced in the loop is ε = -ka⁴t/4.
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A person moves away from a stationary sound source. Which phrase describes the sound perceived by the person?
higher pitch and longer wavelength
lower pitch and shorter wavelength
lower pitch and longer wavelength
higher pitch and shorter wavelength
Answer:
i belive it is lower pitch longer wavelength
Explanation:
higher pitch higher frequency
Option C is correct. A person moves away from a stationary sound source the sound perceived by the person will be of the lower pitch and longer wavelength.
What is wavelength ?
The distance between two successive troughs or crests is known as the wavelength. The peak of the wave is the highest point, while the trough is the lowest.
The wavelength is also defined as the distance between two locations in a wave that have the same oscillation phase.
The length of a wave is measured in its propagation direction. The wavelength is measured in meters, centimeters, nanometres, and other units since it is a distance measurement.
The relationship between the wave's wavelength, frequency, and speed is given as
wavelength = speed of light / frequency
As the person moves away from a stationary sound source then the value of pitch is decreasing. On the other hand, sound needs a longer wavelength to travel.
Hence Option C is correct.
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A boy throws a water balloon such that it hits his sister standing 10m away. The boy threw the water balloon at an angle of 35 degrees. How hard did he throw the balloon?
Answer:
10.21 m/s
Explanation:
∆x =( v ^2 sin(2θ))/ g
rearrange this to get
v=√Δx·(g÷ sin(2θ))
Plug it in
v=√10·(-9.8÷sin(2·35))
Solve
v=10.21