Hi there!
Using Hooke's Law:
\(F = kx\)
F = Force (N)
k = Spring constant (N/m)
x = displacement from equilibrium
We are given the force and displacement, so solve for 'k':
\(k = \frac{F}{x}\\
\\
k = \frac{230}{0.4} = \boxed{575 N/m}\)
Which statement best expresses Newton's second law of motion?
A: The acceleration of an object depends on the balance between the net applied forces.
B: The acceleration of an object depends on the balance between friction and gravity.
C: The acceleration of an object depends on the object's mass and the net applied force.
D: The acceleration of an object depends on the object's mass and its velocity.
Answer:
option C
since F=ma
the acceleration of an object depends on the object's mass and the net applied force
Why do some substances dissolve in water, but other substances do not?
Answer:
It has to do with the polairity of said molelule. If you have vegetable oil, for example, it will not disolve in water because the oil is a non-polar compound, unlike water which is polar. The bond dipoles and differences in electronegetivity in the molecule results in this.
Police radars measure the speed of moving vehicles by transmitting electromagnetic waves at a vehicle and detecting a Doppler shift in the reflected wave. Suppose a police radar transmits at a frequency of 21.0 GHz and receives a wave reflected from a car moving toward the radar at 68.0 mph. Find the frequency shift
The frequency shift is 188.2 kHz.
The frequency shift, also known as the Doppler shift, can be calculated using the formula Δf/f = v/c, where Δf is the frequency shift, f is the original frequency (21.0 GHz), v is the velocity of the car (68.0 mph), and c is the speed of light.
First, we need to convert the velocity of the car from mph to m/s, which is 30.28 m/s. Then, we can plug in the values and solve for Δf.
Δf/f = v/c
Δf/21.0 GHz = (30.28 m/s)/c
Δf = (21.0 GHz)(30.28 m/s)/c
Δf = 188.2 kHz
This information can be used by the police to determine the speed of the car and potentially issue a speeding ticket.
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Which of the following substances is the closest to a neutral pH? O A. milk
Answer:
The answer is water
Explanation:
it has a netural ph of 7.0
why is the only option milk?
The Ph for milk is about 6.5 to 6.7, it varies becauses milks gets sour when it rots.
how does the solar nebula theory explain the significant density difference between the terrestrial and jovium planets
Because different materials originate at various distances from the sun, different densities develop at various distances.
How do the densities of the terrestrial and Jovian planets compare?Because Jupiter is completely formed of gas, it has a far lower density than terrestrial planets like Earth and is thus more like the sky above you than the earth below you in terms of structure.The density of a planet depends on its make-up. In contrast to the four outer planets, the four inner terrestrial planets are denser. Rock that is hard and thick makes up the majority of the inner planets. Since gas makes up the majority of the outer planets, their total density is lower.According to the solar nebular theory, a nebula cloud comprised of a collection of gas and dust is what causes our solar system to develop. The sun, planets, moons, and asteroids are thought to have all originated from a nebula at around the same time, 4.5 billion years ago.Learn more about solar nebula theory refer to :
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A ball is thrown up into the air with an initial velocity of 18 m/s. A) How high does the ball go? B) Calculate the time needed for the ball to reach its max height.
Answer:
B) t = 1.83 [s]
A) y = 16.51 [m]
Explanation:
To solve this problem we must use the following equation of kinematics.
\(v_{f} =v_{o} -g*t\)
where:
Vf = final velocity = 0
Vo = initial velocity = 18 [m/s]
g = gravity acceleration = 9.81 [m/s²]
t = time [s]
Note: the negative sign in the above equation means that the acceleration of gravity is acting in the opposite direction to the motion.
A) The maximum height is reached when the final velocity of the ball is zero.
0 = 18 - (9.81*t)
9.81*t = 18
t = 18/9.81
t = 1.83 [s], we found the answer for B.
Now using the following equation.
\(y = y_{o} + v_{o}*t - 0.5*g*t^{2}\\\)
where:
y = elevation [m]
Yo = initial elevation = 0
y = 18*(1.83) - 0.5*9.81*(1.83)²
y = 16.51 [m]
Use the electron arrangement interactive to complete the table
The number of electrons that is needed to fill the following sublevels are:
1s = 2 electrons. 2s = 2 electrons. 2p = 6 electrons. 3s = 2 electrons. What is the number of electrons needed to complete the table?The formula to find this out is:
= 2 x (2 x Level +1)
1s = 0 levels
Number of electrons:
= 2 x (2 x 0 + 1)
= 2 electrons
2s = 0 levels
= 2 x (2 x 0 + 1)
= 2 electrons
2p = 1 level
= 2 x (2 x 1 + 1)
= 6 electrons
3s = 0 levels
= 2 x (2 x 0 + 1)
= 2 electrons
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The completed table using the electron arrangement interactive is attached below. In this table for sublevel 1s, 2s, 2p and 3s electron needed is 2,2,6 and 2 respectively.
What is electron arrangement?The electron arrangement is the way or process to arrange the electrons in an atom. The number of electron needed per sublevel are expressed in following points.
The number of electron need to feel sublevel 1s is 2.The number of electron need to feel sublevel 2s is 2.The number of electron need to feel sublevel 2p is 6.The number of electron need to feel sublevel 3s is 2.The image of the table which fill the sublevel is attached below. In this table all the electron is fulfilled with needed electrons.
Thus, the completed table using the electron arrangement interactive is attached below. In this table for sublevel 1s, 2s, 2p and 3s electron needed is 2,2,6 and 2 respectively.
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a system consists of three particles, each of mass 5.00 g, located at the corners of an equilateral triangle with sides of 30.0 cm. (a) calculate the potential energy describing the gravitational interactions internal to the system. (b) if the particles are released simultaneously, where will they collide?
The gravitational potential energy of the three particle system is 166.75 x 10⁻¹⁰ J and they will collide at the center of the triangle when released simultaneously.
(a) The gravitational potential energy of the two masses is given by,
U = GMm/R
Where,
G is universal gravitational constant,
M is mass of one body and m is mass of other body,
R is the distance between them.
Now,
We have three masses of 5 kg at vertices of triangle of length 30cm.
The masses have equal distance them and the masses are equal.
There are total of three pairs mass objects with masses 5 Kg and distance 30cm.
So,
We can write,
U = 3 x (6.67 x 10⁻¹¹ x 5 x 5)/0.30
U = 166.75 x 10⁻¹⁰ J.
(b) If the particles are released, they will collide at the center of the triangle.
Because at the center of the triangle, the potential energy of the system will become zero.
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give an example of how the law of inertia is demonstrated (a) for moving objects and (b) for objects at rest
Answer:
Both
Explanation:
Both of them are part of newtons laws of motion
Temperature measures the ________ kinetic energy of the atoms in a substance.
Temperature measures the average kinetic energy of the atoms in a substance.
Temperature is a measure of the average kinetic energy of the particles (atoms or molecules) within a substance. Kinetic energy is the energy associated with the motion of particles. As temperature increases, the particles move faster, resulting in an increase in their kinetic energy. Conversely, a decrease in temperature causes the particles to slow down, reducing their kinetic energy. The kinetic energy of individual particles may vary, but temperature provides an indication of the average kinetic energy across the substance. Therefore, temperature serves as a useful metric for comparing the thermal energy content or "hotness" of different substances.
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a 1200-kg cylindrical can buoy floats vertically in salt water. the diameter of the buoy is 0.9 m. calculate the additional distance the buoy will sink when a 80-kg man stands on top
To calculate the additional distance the buoy will sink when a man stands on top, we need to consider the change in buoyancy force and the additional weight added to the system.
The buoyancy force is equal to the weight of the fluid displaced by the buoy. In this case, since the buoy is floating vertically, the buoyancy force is equal to the weight of the buoy itself.
Buoyancy force = Weight of the buoy = Mass of the buoy * Gravitational acceleration
Buoyancy force = 1200 kg * 9.8 m/s^2 = 11,760 N
When the man stands on top of the buoy, his weight is added to the system. The additional weight is:
Additional weight = Mass of the man * Gravitational acceleration
Additional weight = 80 kg * 9.8 m/s^2 = 784 N
The additional weight will increase the total weight of the system, and consequently, the buoyancy force will also increase.
The additional distance the buoy will sink can be calculated using Archimedes' principle, which states that the buoyant force is equal to the weight of the fluid displaced by the object.
Additional distance = Additional weight / (Cross-sectional area * Fluid density)
The cross-sectional area of the buoy can be calculated using the diameter:
Cross-sectional area = π * (Diameter/2)^2 = π * (0.9 m / 2)^2
Assuming the fluid density of saltwater is 1025 kg/m^3, we can substitute the values into the equation:
Additional distance = 784 N / (π * (0.9 m / 2)^2 * 1025 kg/m^3)
Calculating the additional distance will provide the specific value based on the given dimensions and assumptions.
In summary, to find the additional distance the buoy will sink when a man stands on top, we consider the change in buoyancy force due to the added weight. By using Archimedes' principle, the additional distance can be calculated by dividing the additional weight by the cross-sectional area of the buoy multiplied by the fluid density.
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What is a real world example of the Law of Conservation of Momentum?
Answer:
The thrust that you feel at the time of firing is one of the real-life example of the conseriation nomentum
a 5.00-m-long ladder, weighing 200 n, rests against a smooth vertical wall with its base on a horizontal rough floor, a distance of 1.20 m away from the wall. the center of mass of the ladder is 2.50 m from its base, and the coefficient of static friction between the ladder and the floor is 0.200. how far up the ladder, measured along the ladder, can a 600-n person climb before the ladder begins to slip?
Answer: 0.488 m
Explanation: I have my ways ;>
if your mass is 60 kilograms on earth, what would your mass be on the moon? if your mass is 60 kilograms on earth, what would your mass be on the moon? 10 pounds 60 kilograms 60 pounds 10 kilograms 360 kilograms
Your mass would be the same on the moon as it is on Earth, which is 60 kg. Despite the moon and Earth having different gravitational fields, mass is a constant indicator of the quantity of matter present.
This suggests that option b) is the proper one.
What is the gravitational difference between the moon and the earth?
The moon won't draw things toward itself with the same force as the Earth since it has a lot less mass than the latter. In other words, even if your mass stays the same, you would weigh less if you traveled to the moon!
The average gravity at Earth's surface is 9.8 meters per second. For example, when something is thrown over the top of a building or the edge of a cliff, it falls at a speed of 9.8 meters per second each second. The surface gravity of the Moon is around 1/6th as strong, or 1.6 meters per second every second.
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I understand that the question you are looking for is:
If your mass is 60 kilograms on earth, what would your mass be on the moon?
a) 10 pounds
b) 60 kilograms
c)60 pounds
d)10 kilograms
e)360 kilograms
A 615 watt refrigerator runs 24 hours/day. How much energy is used per month (30 days)?
Answer:
14.76
Explanation:
If you put it in the calculator it would show
if the sun had been born with a smaller, lower-mass companion star, would that star be a red dwarf today or would it already be dead?it would still be a red dwarf today regardless of how much less mass than the sun it has, since its lifetime would be inherently longer than the sun'sit would be a red dwarf today only if it had much less mass than the sun (for example, a star with 20% msun)it would be dead by today only if if it had a little less mass than the sun (for example, a star with 90% msun)it would be dead today only if it had much less mass than the sun (for example, a star with 20% msun)it would be a red dwarf today only if it had a little less mass than the sun (for example, a star with 90% msun)
If the Sun had been born with a smaller, lower-mass companion star, would that star be a red dwarf today or would it already be dead, it would still be a red dwarf today regardless of how much less mass than the Sun it has, since its lifetime would be inherently longer than the Sun's.
Stars sparkle and shine—they appear to have an incandescence of their own even when they are bathed in the spotlight—so it stands to reason that they are stars. However, they are "stars" in a much more specific sense because they are a product of the long-standing Western cultural tendency to equate humanity with the heavenly.
Not all celebrities live alone. About half of all stars in our galaxy, the Milky Way, have a companion and journey through space in a binary system.
Now, the long-lost partner of the Sun could be found anywhere in the Milky Way. According to a team of Harvard astronomers, our solar system was once a binary system because the Sun formerly had a companion star.
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how many kilograms of ice at a temperature of − 15.5 ∘c must be dropped in the water to make the final temperature of the system 37.1 ∘c ?
The ice is needed to make the final temperature of the system 37.1° C is 1.99 kg.
To find the amount of ice needed to make the final temperature of the system 37.1 °C, we can use the formula Q = mcΔT, where Q is the amount of heat, m is the mass, c is the specific heat capacity, and ΔT is the change in temperature.
First, we need to find the amount of heat needed to raise the temperature of the water from −15.5° C to 37.1° C. The specific heat capacity of water is 4.184 J/g °C, so:
Q = mcΔT
Q = (1 kg)(4.184 J/g° C)(37.1° C - (-15.5° C))
Q = 219.954 J
Next, we need to find the amount of ice needed to absorb this amount of heat. The specific heat capacity of ice is 2.108 J/g °C, so:
Q = mcΔT
219.954 J = (m)(2.108 J/g° C)(37.1° C - (-15.5° C))
m = 219.954 J / (2.108 J/g° C)(52.6° C)
m = 1.99 kg
Therefore, 1.99 kg of ice is needed to make the final temperature of the system 37.1° C.
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9. Thermal energy (heat) is defined as
A. the sum of all the kinetic energies of all the particles in an object
B. the average of all the kinetic energies of all the particles in an object
C. the sum of all the numbers of particles in an object
D. the average number of particles in an object
Answer:
The correct answer is A. Thermal energy (heat) is defined as the sum of all the kinetic energies of all the particles in an object.
Alicia does not believe it is fair that she must work in her job for two years before she will be considered for promotion. Alicia's feelings of unfairness in this situation fall under the category of _____ justice.
Alicia's feelings of unfairness in the situation where she must work in her job for two years before being considered for promotion fall under the category of distributive justice.
Distributive justice refers to perceptions of fairness in the distribution or allocation of rewards, benefits, and resources within an organization. It focuses on the fairness of the outcomes or end results. Alicia's dissatisfaction stems from her perception that the distribution of promotions is unfair because she believes that the requirement of a two-year tenure is not justified or equitable.
In Alicia's view, the two-year tenure requirement might be seen as arbitrary or unrelated to her actual performance, skills, or qualifications for the promotion. She may argue that her abilities and contributions should be the primary factors considered for advancement, rather than simply the length of time spent in her current position.
Distributive justice is concerned with ensuring fairness and equity in the allocation of rewards, such as promotions, raises, and other benefits, based on individuals' contributions, qualifications, or merit. Alicia's sense of unfairness suggests that she perceives a disconnect between her actual performance and the reward structure in place.
Alicia's feelings of unfairness regarding the two-year tenure requirement for promotion fall under the category of distributive justice. She believes that the distribution of promotions is unfair because she perceives the requirement as unrelated to her actual qualifications and performance. Addressing her concerns would involve reviewing and potentially revising the promotion criteria to ensure a more equitable and merit-based allocation of rewards. By considering individuals' contributions and qualifications, organizations can enhance perceptions of distributive justice and promote a fair and motivating work environment.
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What are two properties that lead to ElectroMagnetic Interactions? please help this is due very soon!!!
Answer:
Electric charge. A fundamental property that leads to the electromagnetic interactions among particles that make up matter.
Tres participantes en un concurso de TV están colocados en el centro
de un campo plano grande. A cada uno se le proporciona una regla
graduada de un metro, un compás, una calculadora, una pala
y (en diferente orden para cada concursante) los siguientes tres desplazamientos:
A: 72. 4 m, 32. 0° al este del norte
B: 57. 3 m, 36. 0° al sur del oeste
C: 17. 8 m al sur
Los tres desplazamientos llevan al punto donde están enterradas las
llaves de un Porsche nuevo. Dos concursantes comienzan a medir de inmediato; sin embargo, el ganador calcula
primero a donde debe ir. Con tres cifras
significativas exprese la resultante
Para encontrar el punto donde están enterradas las llaves del Porsche nuevo, debemos sumar los tres desplazamientos dados en el problema.
Primero, el desplazamiento de A tiene una magnitud de 72.4 m y una dirección de 32.0° al este del norte. Usando trigonometría, podemos descomponer este desplazamiento en sus componentes vertical y horizontal: Componente vertical = 72.4 m sin(32.0°) ≈ 38.9 m hacia el norte. Componente horizontal = 72.4 m cos(32.0°) ≈ 61.5 m hacia el este. Por lo tanto, el desplazamiento de A se puede representar como un vector de 61.5 m hacia el este y 38.9 m hacia el norte. Segundo, el desplazamiento de B tiene una magnitud de 57.3 m y una dirección de 36.0° al sur del oeste. De manera similar, podemos descomponer este desplazamiento en sus componentes vertical y horizontal: Componente vertical = 57.3 m sin(36.0°) ≈ 34.4 m hacia el sur. Componente horizontal = 57.3 m cos(36.0°) ≈ 46.0 m hacia el oeste. Por lo tanto, el desplazamiento de B se puede representar como un vector de 46.0 m hacia el oeste y 34.4 m hacia el sur. Finalmente, el desplazamiento de C tiene una magnitud de 17.8 m hacia el sur. Este desplazamiento solo tiene una componente vertical. Ahora, podemos sumar los tres vectores de desplazamiento para obtener la resultante. Podemos hacer esto sumando las componentes horizontal y vertical por separado: Componente horizontal total = 61.5 m - 46.0 m = 15.5 m hacia el este
Componente vertical total = 38.9 m - 34.4 m - 17.8 m = -13.3 m hacia el norte. La magnitud de la resultante se puede encontrar usando el teorema de Pitágoras: |magnitud resultante| = sqrt((15.5 m)^2 + (-13.3 m)^2) ≈ 20.2 m. Por lo tanto, el concursante ganador debería ir en una dirección de aproximadamente 29.7° al este del norte para encontrar las llaves del Porsche nuevo.
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What is required for a planet or moon to have planet-wide convection cycles?
For a planet or moon to have planet-wide convection cycles, it must have a molten or partially molten interior, a strong global magnetic field, and a thick mantle that can support convection over long periods of time.
For a planet or moon to have planet-wide convection cycles, several conditions need to be met. The first requirement is that the planet or moon must have a molten or partially molten interior, which allows for the movement of material within the mantle. This movement is driven by heat transfer from the planet's core, which creates thermal gradients that cause material to rise and fall in a convection cycle.
Another requirement is the presence of a strong, global magnetic field. This magnetic field is generated by the movement of molten material in the planet's core and helps to protect the planet from harmful solar radiation. It also plays a crucial role in driving convection cycles, as the magnetic field interacts with the convecting material in the mantle.
Finally, the planet or moon must have a relatively thick mantle that is capable of supporting convection over long periods of time. This requires a sufficient amount of heat to be generated within the core and a slow cooling rate, which allows the mantle to remain molten for billions of years.
In summary, for a planet or moon to have planet-wide convection cycles, it must have a molten or partially molten interior, a strong global magnetic field, and a thick mantle that can support convection over long periods of time.
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Given the exciton energy is 0.01eV and energy gap of Germanium (Ge) is about 0.75 eV. Determine the energy of photon involved in exciton absorption in Ge. Using the absorption intensity versus photon energy diagram, briefly explain the effect of exciton absorption on the absorption spectrum of Ge.
The energy of photon involved in exciton absorption in Germanium (Ge) is approximately 0.76 eV.
The energy of photon involved in exciton absorption in Germanium (Ge) is approximately 0.76 eV. This can be calculated using the formula E_photon = E_gap + E_excitonwhere E_photon = energy of photon,E_gap = energy gap of Ge, andE_exciton = exciton energy.Substituting the given values we have;E_photon = 0.75 eV + 0.01 eVE_photon = 0.76 eVThe effect of exciton absorption on the absorption spectrum of Ge is the appearance of a new peak or band.
The exciton absorption band is usually narrower than the band for the direct interband transition because of the localization of electron and hole pairs. As the temperature is raised, the absorption coefficient for the exciton peak decreases and broadens due to the thermal dissociation of excitons.
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How does the Hood Canal Bridge work?
The Hood Canal Bridge is a floating bridge that uses pontoons to support the weight of the bridge deck and allow for water traffic to pass underneath.
The Hood Canal Bridge is a floating bridge that spans the Hood Canal, a narrow and deep fjord in Washington State, USA. The bridge is made up of two parallel pontoons, each over 2,500 feet long, that are connected by a series of trusses and beams.
The pontoons float on the surface of the water and are stabilized by a system of cables and anchors that hold them in place. The bridge is supported by over 80 concrete pillars that are anchored to the sea floor. The bridge can be opened to allow boats and ships to pass through by raising the pontoons using hydraulic jacks, which are powered by two diesel engines.
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6. Calculate the mass of mass A in the diagram. The frame joining
the masses is massless.
A
centre of mass
15 cm
30 cm
15 cm
3 kg
8 kg
40 cm
Figure 4.36
Answer:
calculate the mass of mass A i the diagram .the frame joining the mass is massless
Explanation:
The mass of mass A the diagram .the frame joining the mass is massless.
What is Mass?The unique location in an object or system that can be used to describe how the system reacts to outside forces and torques is referred to as the "center of mass" or "center of gravity" in a uniform gravity field.
The idea of the center of mass is that it is the average of all the masses divided by the distances between them. With regard to the torques produced, that is comparable to balancing a seesaw around a pivot point in one plane.
Therefore, The mass of mass A the diagram .the frame joining the mass is massless.
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Parker County Community College (PCCC) is trying to determine whether to use no insulation or to use inisulation that is either 1 inch thick or 2 inches thick on its steam pipes. The heat loss from the pipes without insulation is expected to cost $1.00 per year per foot of pipe. A 1-inch thick insulated covering will eliminate 75% of the loss and will cost $0.35 per foot. A. 2-inch thick insulated covering will eliminate 92% of the loss and will cost $0.80 per foot. PCCC Physical Plant Services estimates that there are 255,000 feet of steam pipe on campus. The PCCC Accounting Office requires a 9.0% year return to justify capital expenditures. The insulation has a life expectancy of 10 years. Click here to access the TVM Factor Table Calculator Parta What is the present worth of each option? No insulation: $ 1-inch insulation:\$ 2-inch insulation: 5
Answer:
Explanation:
To calculate the present worth of each option, we need to consider the cost of the insulation, the heat loss savings, and the required return rate.
1. No insulation:
The cost of heat loss per foot of pipe without insulation is $1.00 per year.
The present worth of heat loss for no insulation over 10 years can be calculated as follows:
Present Worth = Cost of heat loss per year * Number of feet of pipe * Present worth factor for 10 years at 9% return rate
Present Worth = $1.00/ft/year * 255,000 ft * Present worth factor for 10 years at 9% return rate
2. 1-inch insulation:
The cost of 1-inch insulation per foot of pipe is $0.35.
The heat loss reduction with 1-inch insulation is 75%, which means only 25% of the original heat loss remains.
The present worth of heat loss for 1-inch insulation over 10 years can be calculated as follows:
Present Worth = Cost of heat loss per year * Number of feet of pipe * Heat loss reduction * Present worth factor for 10 years at 9% return rate
Present Worth = ($1.00/ft/year * 255,000 ft * 0.25) + ($0.35/ft * 255,000 ft * Present worth factor for 10 years at 9% return rate)
3. 2-inch insulation:
The cost of 2-inch insulation per foot of pipe is $0.80.
The heat loss reduction with 2-inch insulation is 92%, which means only 8% of the original heat loss remains.
The present worth of heat loss for 2-inch insulation over 10 years can be calculated as follows:
Present Worth = Cost of heat loss per year * Number of feet of pipe * Heat loss reduction * Present worth factor for 10 years at 9% return rate
Present Worth = ($1.00/ft/year * 255,000 ft * 0.08) + ($0.80/ft * 255,000 ft * Present worth factor for 10 years at 9% return rate)
To calculate the present worth factors at a 9% return rate, you can use a TVM (Time Value of Money) calculator or refer to a TVM factor table.
Once you calculate these values, you will have the present worth of each option: no insulation, 1-inch insulation, and 2-inch insulation.
if you have 7 total 100-w light bulbs in a parallel circuit in your basement and you leave them on for 1.5 days, how much energy (in kilowatt hours) would be used?
The energy consumed by the 7 100-watt light bulbs left on for 1.5 days is 25.2 kWh.
Given:
Total bulbs = 7
Power of each bulb = 100 W
Time = 1.5 days
To find: Energy used in KWh; Formula used: Energy = Power * Time
Energy used by one bulb in a day = 100 W * 24 hours = 2400 Wh = 2.4 KWh
Total energy used by one bulb in 1.5 days = 2.4 KWh * 1.5 = 3.6 KWh
Total energy used by 7 bulbs in 1.5 days = 3.6 KWh * 7 = 25.2 KWh
Therefore, 25.2 KWh of energy would be used by 7 total 100-w light bulbs in a parallel circuit in your basement and you leave them on for 1.5 days.
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compute the power for the element (a). assume that va = -13 v and ia = 3 a . be sure to give the correct algebraic sign. Express your answer to two significant figures and include the appropriate units
The power for element (a) is -39 VA to two significant figures with the correct algebraic sign.
To compute the power for element (a), we can use the formula P = V * I, where P is power, V is voltage, and I is current.
Substituting the given values, we get:
P = (-13 V) * (3 A) = -39 W
Since the voltage is negative and the current is positive, the power is negative, indicating that the element is absorbing power rather than supplying it.
Expressing the answer to two significant figures and including the appropriate units, the power for element (a) is -39 W.
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Give 2 instances where there is no change in the state of motion in an object on application of force on the object
The two instances where there is no change in the state of motion in an object on application of force on the object are when an object is at rest, and when an object is in motion,
In either case, the net force on the object is zero, this is referred to as Newton's First Law, which states that if the net force acting on an object is zero, the object will remain at rest or in a state of uniform motion. This law is also known as the law of inertia. The primary implication of Newton's First Law is that an object will remain in a state of uniform motion until acted upon by an unbalanced force.
As a result, any object at rest or in uniform motion will remain so until a net external force acts on it. The object will accelerate in the direction of the net force applied to it. For instance, if we apply a force of 10 N to a book resting on a table, it will not move if the frictional force is more significant than the applied force. So therefore when an object is at rest, and when an object is in motion, are the two instances where there is no change in the state of motion of an object on the application of force on the object.
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Free Fall Problem Set:
1. A coin fell from the top of a building 50 m high. How long
will it fall and what is its velocity as it touches the
ground?
2.A ball was toss in air and fall to the ground in 3 seconds,
What was the maximum height reached. (Note: Consider
the half flight)
3. A bullet was fired from a gun at an angle of 40 degrees
with an initial velocity of 30m/s, what is the total time
of flight of the bullet. To what distance from where it
was fired will it land and what will be the maximum
height the bullet will reach?
1i. The time taken for the coin to fall is 3.19 s
1ii. The velocity as it touches the ground is 31.262 m/s
2. The maximum height reached is 11.025 m
3i. The time of flight is 3.9 s
3ii. The distance from where it was fired is 90.4 m
3iii. The maximum height of the bullet is 19.0 m
1i. How do I dtermine the time taken?
The time taken for the coin to fall ca need obtained as follow:
Height (h) = 50 mAcceleration due to gravity (g) = 9.8 m/s²Time taken (t) = ?h = ½gt²
50 = ½ × 9.8 × t²
50 = 4.9 × t²
Divide both side by 4.905
t² = 50 / 4.9
Take the square root of both side
t = √(50 / 4.9)
Time taken = 3.19 s
1ii. How do i determine the velocity?
The velocity of the coin as it touches the gro Indian be obtainned a as follow:
Initial velocity (u) = 0 m/sTime (t) = 3.19 Acceleration due to gravity (g) = 9.8 m/s²Final velocity (v) =?v = u + gt
v = 0 + (9.8 × 3.19)
v = 0 + 31.262
velocity = 31.262 m/s
2. How do I determine the maximum height?
The maximum height reached by the ball can be obtained as follow:
Time of flight (T) = 3 sTime to reach maximum height (t) = T / 2 = 3 / 2 = 1.5 sAcceleration due to gravity (g) = 9.8 m/s²Maximum height (h) =?h = ½gt²
h = ½ × 9.8 × 1.5²
Maximum height = 11.025 m
3i. How do I determine the time of flight?
The time of flight can be obtained as follow:
Angle of projection (θ) = 40 ° Initial velocity (u) = 30 m/sAcceleration due to gravity (g) = 9.8 m/s²Time of flight (T) =?T = 2uSineθ / g
T = (2 × 30 × Sine 40) / 9.8
Time of flight = 3.9 s
3ii. How do I determine the distance?
The distance from where the bullet was fired can be obtained as follow:
Angle of projection (θ) = 40 ° Initial velocity (u) = 30 m/sAcceleration due to gravity (g) = 9.8 m/s²Distance (R) =?R = u²Sine(2θ) / g
R = [30² × Sine (2×40)] / 9.8
Distance = 90.4 m
3iii. How do I determine the maximum height?
The maximum height of the bullet can be obtained as follow:
Angle of projection (θ) = 40 ° Initial velocity (u) = 30 m/sAcceleration due to gravity (g) = 9.8 m/s²Maximum height (H) =?H = u²Sine²θ / 2g
H = [30² × (Sine 40)²] / (2 × 9.8)
Maximum height = 19.0 m
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