The tension in the connecting string is 36 N (option D).
1. First, we need to determine the acceleration of the system. Since there is no friction acting on the 14-kg block, the only force acting on the system is the gravitational force acting on the 5.0-kg hanging mass.
2. To find the acceleration, we can use Newton's second law: F = ma. The force acting on the system is the gravitational force on the 5.0-kg mass (F = mg), so:
F = (5.0 kg)(9.8 m/s²) = 49 N.
3. The total mass of the system is the sum of the 14-kg and the 5.0-kg masses, which is 19 kg. Now we can find the acceleration (a) using the formula F = ma:
49 N = (19 kg)(a)
a = 49 N / 19 kg = 2.579 m/s².
4. Next, we need to determine the tension in the connecting string (T). We can analyze the forces acting on the 5.0-kg hanging mass: tension (T) and the gravitational force (mg = 5.0 kg * 9.8 m/s² = 49 N).
5. Using Newton's second law for the 5.0-kg hanging mass (F = ma), we can write:
T - mg = ma
T - (5.0 kg)(9.8 m/s²) = (5.0 kg)(2.579 m/s²)
T = (5.0 kg)(2.579 m/s²) + (5.0 kg)(9.8 m/s²)
T = 36 N.
The tension in the connecting string is 36 N.
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Using complete sentences, explain why graphs are so important to scientists.
Answer: It keeps them organized
Explanation: ... ew
the average latency on a disk with 2200 sectors is found experimentally to be 110 msec. what is the rotating speed of the disk
The rotating speed of the disk is 4.5455 rotations per second (rps) when, the average latency on a disk with 2200 sectors is found to be 110 msec.
Latency can be defined as the time interval or delay between a computer system's request for a file and the system's initial response. It is a critical component of disk performance that affects the speed of data retrieval from the disk. The average latency on a disk with 2200 sectors is 110 msec.
The formula for average latency is given as:
A = 1 / 2r
Where,A = average latency r = rotating speed
The formula for the number of sectors on a disk is given as:
N = 2n
Where,N = number of sectors n = number of tracks on a disk
On the other hand, the formula for the number of tracks on a disk is given as:
N = z * s * h
Where,N = number of tracks z = the number of zones on the disk S = the number of sectors per track h = the number of disk heads
The number of zones on a disk can be calculated using the formula:
Z = n / h
Where,Z = number of zones n = number of tracks on a disk h = number of disk heads
From the formula for average latency:
A = 1 / 2r
Then: r = 1 / 2A
We know that the disk has 2200 sectors, and the number of sectors on a disk is given by the formula:
N = 2n
Thus, n = log2(N) = log2(2200) = 10.7815 (approx)
Therefore, the number of tracks on the disk is:
N = 2n = 210.7815 ≈ 1095.99 ≈ 1096
We can now calculate the number of tracks per zone using the formula:
Z = n / h
Since there are two sides to the disk, the number of heads will be h = 2.So, Z = n / h = 1096 / 2 = 548.
Therefore, the number of zones on the disk is:Z = n / h = 1096 / 2 = 548
We also know that the disk's average latency is 110 msec.
Substituting these values into the formula for average latency:
A = 1 / 2r
Then: r = 1 / 2A = 1 / 2(0.11) = 4.5455
Therefore, the rotating speed of the disk is approximately 4.5455 rotations per second (rps).
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A car drives to the right. There is a large amount of air resistance, and the car's engine provides the car's forward motion. Which force on the free-body diagram below represents the normal force acting on the car?
A force on the free-body diagram above which represents the normal force acting on the car include the following: D. Force A.
What is a free-body diagram?In Science, a free-body diagram can be defined as a graphical illustration which is typically used in the field of science to visualize moments, tension, and applied forces that are acting on an isolated or rigid object (body), while using arrows to point in the direction of these forces.
Since this car was driven to the right, with a large amount of air resistance acting on it, and its engine provides the forward motion, we can reasonably infer and logically deduce that the normal force which is acting on the car is represented by Force A as illustrated by the free-body diagram shown in the image attached above.
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Which particle is a negatively charged ion?
A.Hydrogen (H) with 1 proton, 0 neutrons, and 1 electron
B.Sodium (Na) with 11 protons, 12 neutrons, and 10 electrons
C.Magnesium (Mg) with 12 protons, 12 neutrons, and 12 electrons
D.Chlorine (CI) with 17 protons, 18 neutrons, and 18 electrons
Answer:
option D is correct
Explanation:
cl has 17 electrons if it has 18 it becomes cl-
The particle that is negatively charged is Chlorine (CI) with 17 protons, 18 neutrons, and 18 electrons. The correct option is D.
What is an ion?An ion is a gross electrically charged molecule or atom. By convention, the charge of an electron is considered to be negative, and this charge is equal to and opposite to the charge of a proton, which is considered to be positive.
These are found in a wide range of instruments, including mass spectrometers, optical emission spectrometers, particle accelerators, ion implanters, and ion engines.
They are also used in air purification by disrupting microbes, as well as in household items such as smoke detectors, as reactive charged particles.
When particles acquire or lose electrons, ions form. Because electrons are negatively charged, losing one or more electrons causes an atom to become positively charged; gaining one or more electrons causes an atom to become negatively charged.
Thus, the correct option is D.
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Which is the best way to compare speed and velocity?
A. Slowing down versus speeding up
B. Distance over time vs distance over time and direction
C. Big vs small
D. One is the hunter and one is the prey
Please help as soon ASAP!
Mars, venus, and earth are much less heavily cratered than mercury and the moon. This is explained by the fact that.
On planets like Venus, Earth, and Mars do not see as many craters because most of them have been eroded away by wind, rain or volcanic activity. We do not see any craters Jupiter, Saturn, Uranus, and Neptune because there is no visible solid surface for the meteors to hit.
Craters heavily dominate the surfaces of Mercury and the Earth's Moon because both the bodies lack water on their surfaces that would erode impact craters with time. They also lack an atmosphere which could disintegrate meteoroids before they impact the surface.
As smaller planets have less gravitational pull as compared to large planets therefore impactors will strike at lower speeds. Greater is the mass of the impactor, greater is the size of crater. Craters are often circular.
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A 17 kg box experiences an applied force of +175 N and a force of friction of -125 N. While experiencing these unbalanced forces, the box travels a total of 15.0 meters in 5.25 seconds.
Calculate the power developed by the unbalanced forces to move the box.
A
44.1 watts
B
143 watts
C
263 watts
D
750 watts
Answer: (b)
Explanation:
Given
Mass of box \(m=17\ kg\)
Applied force \(F=175\ N\)
Friction force \(f=-125\ N\)
Box travels a distance of \(s=15\ m\)
time taken \(t=5.25\ s\)
Net unbalanced force \(F_{net}=175-125=50\ N\)
Work done by the unbalanced force
\(\Rightarrow W=F_{un}\cdot s\\\Rightarrow W=50\times 15\\\Rightarrow W=750\ N\)
Power developed by unbalanced force
\(\Rightarrow P=\dfrac{W}{t}\\\\\Rightarrow P=\dfrac{750}{5.25}\\\\\Rightarrow P=142.85\approx 1423\ W\)
Thus, option (b) is correct.
A biker begins to move from an initial speed of 0.0 m/sec to a final speed of 25 m/sec in 10 sec. what is the acceleration of the skater?
mercury is the closest planet to the sun, but its mean temperature is only 67°C. why is this?
Explanation:
Mercury is the closest planet to the sum, but its mean temperature is only 67°C. This is because Mercury has almost no atmosphere to hold in heat and keep the surface warm.
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Equator
01
Equator
A
B
The figure above shows the Earth at two different positions in its orbit around the Sun. If Texas is in the Northern Hemisphere,
which is the top half of the Earth, which position corresponds to summer in Texas?
A. position B
B. neither position A nor position B
C. position A
D. both position A and position B
Answer:
A) position B
As the earth rotates about its axis (shown tilted), the northern half will receive more sunlight than the southern half which is in winter
which process produces the energy that powers a solar calculater
Nuclear fusion is the process which produces the energy that powers a solar calculator.
What is Nuclear fusion?
This process involves the fusion of hydrogen atoms to form helium with accompanying release of heat energy.
The heat energy is what powers the solar calculator thereby making it the most appropriate choice.
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What should be the expected circuit resistance with an ammeter reading as 7.5 A in a circuit having 4-1.5 V (new AA size) batteries connected next to each other
The expected circuit resistance with an ammeter reading of 7.5 A in a circuit with four 1.5 V (new AA size) batteries connected next to each other can be calculated using Ohm's Law.
To determine the circuit resistance, we can use the formula:
Resistance (R) = Voltage (V) / Current (I)
First, we need to calculate the total voltage across the batteries. Since the batteries are connected next to each other, their voltages add up:
Total Voltage (V) = 4 × 1.5 V = 6 V
Next, we can substitute the given current reading into the formula:
Resistance (R) = 6 V / 7.5 A = 0.8 Ω
Therefore, the expected circuit resistance in this scenario is 0.8 Ω.
This result indicates that the circuit has a relatively low resistance. It suggests that the circuit components or wiring have a low impedance, allowing a significant amount of current (7.5 A) to flow through. It is important to ensure that the circuit components, including the ammeter and the batteries, are capable of handling the high current without causing any damage.
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Each gas sample has the same temperature and pressure. which sample occupies the greatest volume? each gas sample has the same temperature and pressure. which sample occupies the greatest volume? 40.0 gar 20.0 gne 20.0 gh2 4.0 ghe
Answer:
20 gram of H as the greastest volume
Explanation:
Each gas sample has the same temperature and pressure. which sample occupies the greatest volume? each gas sample has the same temperature and pressure. which sample occupies the greatest volume? 40.0 gar 20.0 gne 20.0 gh2 4.0 ghe
Given that,
40.0 g of Ar
20.0 g of Ne
20.0 g of h
24.0 g of he
The ideal gas equation ; Pv = nRT
where P is the pressure, V is the volume, R is the gas constant, T is the temperature, n is the number of mole
which is equal to
n = m / M
where m is the given mass
M is the molar mass
The given gas sample are at the same temperature and pressure,
So, the temperature, pressure and gas constant are fixed.
Therefore the volume is proportional to the given mass and molar mass
V ∝ m/M
Substitute the given mass and molar mass of given masses for comparison
No of mole of Ar = mass / molar mass
= 40 / 40 = 1 mole
No of mole of Ne = mass / molar mass
= 20 / 20 = 1 mole
No of mole of h = mass / molar mass
= 20 / 1 = 20 mole
No of mole of he = mass / molar mass
= 24 / 4 = 6 mole
Hence, 20 gram of H as the greastest volume
The (hypothetical) \( \mathrm{ABC} \) index spot price is currently at 1302 and the continuously compounded riskfree ratais \( 6 \% \) p.a. The 6 -month observed futures price on the index is 1335 . W
The implied annualized risk-free rate of return for holding the futures contract is approximately 8.51%.
In this scenario, the futures price of the ABC index is higher than the spot price, indicating a positive cost of carry. To calculate the implied annualized risk-free rate of return, we can use the formula:
Implied Annualized Risk-free Rate = (Futures Price - Spot Price) / Spot Price * (365 / Time to Expiration)
Given the spot price of 1302, the futures price of 1335, and a 6-month expiration period, we can plug these values into the formula:
Implied Annualized Risk-free Rate = (1335 - 1302) / 1302 * (365 / 0.5)
Calculating the expression yields approximately 0.0851 or 8.51%. This implies that holding the futures contract on the ABC index would yield an annualized risk-free return of 8.51% if the current market conditions persist.
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The above given question is incomplete, below a complete question is written:
The (hypothetical) ABC index spot price is currently at 1302, and the continuously compounded risk-free rate is 6% per annum. The 6-month observed futures price on the index is 1335. What is the implied annualized risk-free rate of return for holding the futures contract?
After Sophia eats her body breaks down the food to use as an engery source when she runs this is an example of which type of engery conversion
Answer:
cannibalism
Explanation:
because she is eating her body!
Most of the mass of the galaxy is located at the galactic center in the form of a massive black hole. True False
Answer:
The Galactic Center (or Galactic Centre) is the rotational center, the barycenter, of the Milky Way galaxy. Its central massive object is a supermassive black hole of about 4 million solar masses, which powers Sagittarius A*, a compact radio source which is almost exactly at the galactic rotational center.
Which statements best describe X-rays?
Answer:x rays are electromagnetic waves.
x rays are transverse waves
x rays travel at the speed of light
Explanation:
a transformer has 1500 turns in the primary coil and 150 turns in the secondary coil. part a if the primary coil is connected to a 120 v outlet and draws 0.060 a , what are the voltage and current of the secondary?
Therefore, the voltage in the secondary coil of transformer is 1200 V. Therefore, the current in the secondary coil is 0.006 A.
According to the transformer equation, the ratio of turns in the primary coil to turns in the secondary coil is equal to the ratio of the voltage in the primary coil to the voltage in the secondary coil:
Np/Ns = Vp/Vs
Where Np is the number of turns in the primary coil, Ns is the number of turns in the secondary coil, Vp is the voltage in the primary coil, and Vs is the voltage in the secondary coil.
Using the given values, we can solve for the voltage in the secondary coil:
Np/Ns = Vp/Vs
1500/150 = 120/Vs
Vs = (150*1200)/150
Vs = 1200 V
To find the current in the secondary coil, we can use the equation:
Ip/Is = Vs/Vp
Where Ip is the current in the primary coil, Is is the current in the secondary coil, Vs is the voltage in the secondary coil, and Vp is the voltage in the primary coil.
Substituting the known values, we get:
0.060/Is = 1200/120
Is = (0.060*120)/1200
Is = 0.006 A
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The ankle-brachial index (abi) compares the ________ pressure of ankle to that of the ________ pressure of the arm.
The ankle-brachial index (ABI) compares the blood pressure of the ankle to that of the arm.
The ankle systolic pressure is compared to the brachial systolic pressure to calculate the ABI. Normally, the systolic pressure is higher in the arms than in the ankles due to the effect of gravity.
However, if there is arterial disease or blockage in the lower extremities, the blood pressure at the ankle may be significantly lower, resulting in a lower ABI value. A lower ABI suggests the presence of the peripheral artery disease, which is indicative of narrowed or blocked arteries in the legs.
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A wave has a frequency of 875 hz and a wavelength of 352 m. At what speed is this wave traveling 
Answer:
308,000 or 30.8×10^3
Explanation:
v=f×lamda
v is ?, f is 875Hz, lamda is 352m
v=875×352
v=308,000
v=30.8×10^3 m/s
An electron with an initial speed of 5.30×105 m/s is brought to rest by an electric field. What was the potential difference that stopped the electron?
The potential difference that stopped the electron is approximately -6.75 × 10^3 V (negative sign indicates that the electron is brought to rest at a lower potential).
To find the potential difference that stopped the electron, we can use the principle of conservation of energy.
The initial kinetic energy of the electron is equal to the work done by the electric field to bring the electron to rest.
The initial kinetic energy (KE) of the electron can be calculated using the formula KE = (1/2)mv^2, where m is the mass of the electron and v is its initial speed.
Given that the initial speed of the electron is 5.30 × 10^5 m/s, and the mass of an electron is approximately 9.11 × 10^-31 kg, we can calculate the initial kinetic energy as follows:
KE = (1/2) * (9.11 × 10^-31 kg) * (5.30 × 10^5 m/s)^2 ≈ 1.08 × 10^-15 J.
Since the work done by the electric field to bring the electron to rest is equal to the change in potential energy (PE), we can equate the initial kinetic energy to the potential energy.
PE = qV, where q is the charge of the electron and V is the potential difference.
The charge of an electron is approximately -1.6 × 10^-19 C (negative because it is an electron).
Therefore, we have:
1.08 × 10^-15 J = (-1.6 × 10^-19 C) * V.
Solving for V, we find:
V = (1.08 × 10^-15 J) / (-1.6 × 10^-19 C) ≈ -6.75 × 10^3 V.
The potential difference that stopped the electron is approximately -6.75 × 10^3 V (negative sign indicates that the electron is brought to rest at a lower potential).
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how can professional education improve life of people?
Answer:
Professional education as a science has been defined as a field of educational science that studies the growth of a person into a profession and the related problems. It refers to organized education aimed at the knowledge and skills needed in the profession and working life, as well as growing into active citizenship and membership of society. Professional education as a discipline studies vocational training, skills and learning related to the profession and working life.
It enables young people and adults to pursue goal-oriented learning with the aim of acquiring and developing the necessary skills in the profession and creating the conditions for independent professional activity and continuous development in the profession.
While accelerating at a constant rate from 12.0 m/s to 18.0 m/s, a car moves over a distance of 60.0 m. how much time does it take?
While accelerating at a constant rate from 12.0 m/s to 18.0 m/s, a car moves over a distance of 60.0 m. The time taken by the car will be 4 seconds. the correct answer is option(c).
When acceleration is constant, the rate of change in velocity is also constant. In the absence of any acceleration, velocity remains constant. When acceleration is positive, velocity becomes more significant.
Let a denote acceleration, u denote initial velocity, v denote final velocity, and t denote time.
The equation of motion is stated as,
v = u + at
v² = u² + 2as
A car travels across a distance of 60.0 m while accelerating constantly from 12.0 m/s to 18.0 m/s.
Then the time taken by the car will be,
u = 12 m/s
v = 18 m/s
s = 60 m
Put these in the equation v² = u² + 2as.
18² = 12² + 2 x a x 60
a = 1.5
Then the time will be
18 = 12 + 1.5t
1.5t = 6
t = 4 seconds
Hence, the time taken is 4 s.
The complete question is:
While accelerating at a constant rate from 12.0 m/s to 18.0 m/s, a car moves over a distance of 60.0 m. How much time does it take?
1.00 s
2.50 s
4.00 s
4.50 s
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What must happen for salt and water to form a solution?
O A. The salt and the water must combine to form a new substance.
B. The salt and the water must combine chemically.
C. The water must displace the salt.
O D. The salt must dissolve in the water.
Which energy from the choices given is the strongest
Visible Light
Microwaves
UV Light
X-Rays
Answer:
X-Rays
Explanation:
FILL THE BLANK. To ensure proper inspection, deliveries should be scheduled during ______. Slow times. Thermometer should be ______. Metal-stem.
To ensure proper inspection, deliveries should be scheduled during slow times. Thermometers should be metal-stem.
Scheduling deliveries during slow times allows for adequate time and attention to be given to the inspection process, reducing the likelihood of errors or oversights. Using metal-stem thermometers ensures accuracy and reliability in temperature measurement, as metal-stem thermometers are known for their durability and resistance to damage or contamination.
Using metal-stem thermometers is important because they are more accurate than other types of thermometers, such as digital or glass thermometers. Metal-stem thermometers are able to quickly and accurately respond to changes in temperature, which is critical when monitoring perishable goods like food. They are also more durable and easier to clean than other types of thermometers, which helps prevent contamination. Overall, using metal-stem thermometers can help ensure that food is cooked and stored at safe temperatures, which is essential for preventing food-borne illness.
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What is the force that keeps a main sequence star from blowing apart? A. magnetism
B. gravitation
C. electron degeneration pressure
D. radiation pressure
E. the strong force
The force that keeps a main sequence star from blowing apart is primarily gravitation. Gravitation is the force of attraction between the particles within the star, particularly the gravitational attraction between the massive core and the outer layers of the star.
This gravitational force acts to hold the star together and counterbalances the outward pressure caused by the nuclear fusion reactions occurring in the star's core.While the other forces listed have important roles in various astrophysical phenomena, they are not the primary forces responsible for keeping a main sequence star stable.
Magnetism plays a significant role in shaping the structure of stars and governing processes like stellar activity, but it is not the dominant force in preventing a star from blowing apart. Electron degeneracy pressure is a force that arises in white dwarfs, where the pressure from degenerate electrons resists further compression, but it is not applicable to main sequence stars.
Radiation pressure is the force exerted by photons, but it is generally much weaker than gravity in main sequence stars. The strong force is responsible for binding atomic nuclei but does not directly contribute to the stability of a main sequence star.
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Marta gives long, involved answers to every question, even simple ones. She uses technical vocabulary even if the people she is talking to do not understand it. What is the BEST advice Marta’s supervisor could give her?
A.
Use technology to your team’s advantage.
B.
Manage information, not people.
C.
Make sure your networks are strong.
D.
Adapt your communication style.
The best advice Marta’s supervisor could give her regarding the long answers she is giving is to adapt her communication style (option D).
What is communication?Communication is the concept or state of exchanging data or information between entities.
A communication is said to be effective when the information passed across is perfectly understood by the recipient.
According to this question, Marta gives long and involved answers to every question, even simple ones. She also uses technical vocabulary even if the people she is talking to do not understand it.
This means that the best advice Marta’s supervisor could give her regarding the long answers she is giving, so as to communicate effectively, is to adapt her communication style.
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it is desired to achieve a reynolds number of 20,000 inside the tube. what is the inner diameter of the tube needed, and what is the overall heat-transfer coefficient?
Using the Reynolds number formula, we can get the inner diameter of the tube required to obtain a Reynolds number of 20,000: Re = (ρVD)/μ where: = fluid density.
V = fluid velocity diameter of the tube = fluid dynamic viscosity We may seek up the density and dynamic viscosity values from tables assuming the fluid is water at room temperature (20°C): = 998 kg/m3 and equals 0.001002 Pa. 20,000 is the ideal Reynolds number. To get the diameter D, we may rewrite the Reynolds number formula as follows: D = (Re μ) / (ρ V) When we change the values, we obtain: D = (20,000 x 0.001002) / (998 x V) (998 x V) If we simplify, we get: D = 0.0201 / V Hence, 0.0201 is the tube's inner diameter requirement to obtain a Reynolds number of 20,000.
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to determine the magnetic flux, magnetic field parallel to the surface is multiplied by the area of the surface. True or False
False. To determine the magnetic flux, multiply the magnetic field strength by the area, then multiply by the cosine of the angle between the field and area.
What is magnetic flux?Magnetic flux is a measurement of the total magnetic field which passes through a given area.
It is a useful tool for helping describe the effects of the magnetic force on something occupying a given area. The SI unit of magnetic flux is the Weber (named after German physicist and co-inventor of the telegraph Wilhelm Weber) and the unit has the symbol Wb.
Because the magnetic flux is just a way of expressing the magnetic field in a given area, it can be measured with a magnetometer in the same way as the magnetic field.
In conclusion, magnetic flux is not determined by the multiplication of the magnetic field parallel to the surface by the area of the surface.
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