The locations where the passneger travels can be shown as,
The position of passenger at city A can be expressed as,
\(\begin{gathered} \vec{A}=(175km)\cos 30^{\circ}\hat{i}+(175km)\sin 30^{\circ}\hat{j} \\ =(175\text{ km)(}0.866)\hat{i}+(175\text{ km)(}0.5)\hat{j} \\ =151.55\text{ km }\hat{\text{i}}+87.5\text{ km }\hat{\text{j}} \end{gathered}\)The position of passenger at city B can be expressed as,
\(\begin{gathered} \vec{B}=((151.55km)-(153km)\sin 20^{\circ})\hat{i}+(87.5km+(153km)\cos 20^{\circ})\hat{j} \\ =((151.55km)-(153\text{ km)(}0.342))\hat{i}+(87.5km+(153\text{ km)(}0.94))\hat{j} \\ =(151.55km-52.33\text{ km) }\hat{\text{i}}+(87.5km+143.82\text{ km) }\hat{\text{j}} \\ =99.22\text{ km }\hat{\text{i}}+231.32\text{ km}\hat{\text{j}} \end{gathered}\)The position of passenger at city C can be expressed as,
\(\begin{gathered} \vec{C}=(99.22km-195km)\hat{i}+231.32\operatorname{km}\hat{j}_{} \\ =-95.78\text{ }\hat{\text{i}}+231.32\text{ km}\hat{\text{j}} \end{gathered}\)Therefore, the magnitude of distance of city C can be calculated as,
\(\begin{gathered} C=\sqrt[]{(-95.78km)^2+(231.32km)^2} \\ =\sqrt[]{9173.81km^2+53508.94km^2} \\ =252.3\text{ km} \end{gathered}\)Thus, the distance of city C from point O is 252.3 km.
The direction of location is calculated as,
\(\begin{gathered} \cos \theta=\frac{-95.78^{}}{231.32} \\ \theta=-65.5^{\circ} \end{gathered}\)Thus, the direction of city C from point O is -65.5 degree.
why did a glass bottle with a water burst at night in the cold on a glazed balcony?
Answer:
i guess if the a glass gets to cold it will bust
Explanation:
Mr Mann cut a cucumber. Mr Mann said, you have performed a chemical change. Is he right?
Answer:
No.
Explanation:
The cut cucumber is still a cucumber.
Answer:
Nope.
Explanation:
Chemical change is transforming the cucumber into a pickle. However, you need vinegar, so it isn't a full change.
Therefore, Mr. Mann would not be right either way, because all he did was cut a cucumber, and he should probably get some help with all this "chemical change".
the magnetic field at the center of a 0.700-cm-diameter loop is 3.00 mt . part a what is the current in the loop? express your answer with the appropriate units.
The magnetic field at the center of a current-carrying loop is given by the formula: B = (μ₀/4π) * (2I/ r)
where B is the magnetic field at the center of the loop, I is the current in the loop, r is the radius of the loop, and μ₀ is the permeability of free space. In this case, we are given the magnetic field B = 3.00 mT = 3.00 × 10^(-3) T and the radius r = 0.700 cm = 0.00700 m.Substituting these values into the above formula, we can solve for the current I: I = (B * r * 4π)/ (2 * μ₀)
I = (3.00 × 10^(-3) T * 0.00700 m * 4π)/ (2 * 4π × 10^(-7) T·m/A)
I = 0.0133 A
Therefore, the current in the loop is 0.0133 A (amperes).
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frequency of sound determines its _____ measured in _____.
amplitude: amplitude of sound wave determines its _____ measured in _____.
Answer:
Loudness of sound is determined by its amplitude.
Loudness of sound is determined by its amplitude.The intensity or loudness of a sound depends upon the extent to which the sounding body vibrates, i.e., the amplitude of vibration. A sound is louder as the amplitude of vibration is greater, and the intensity decreases as the distance from the source increases.
What would decrease the efficiency of this truck?
A. Keep the truck well-oiled.
B. Change the oil frequency.
C. Take off the brake pads.
Please help!!
Answer: The answer isC .
Explanation:
A generator is operating with 5% droop primary control. The generator is rated for 100 kW. Its secondary power command at this point in time (in other words, the power commanded to produce at 60 Hz) is 67 kW. The grid frequency is currently 59.9 Hz. What is the generator power
The generator power will be 59 kW. Power drop is the main factor for finding the generated power.
What is the power rating?The maximum power input allowed to pass through a piece of equipment is known as the equipment's power rating.
Power drop = 5%
The relation of the frequency change with the power drop is;
\(\rm \frac{df}{dp} =5\%\\\\ \frac{f_{rated-f_1}}{P_{rated}-P_1}=0.05\\\\ \frac{f_{rated-60}}{100-61}=0.05\\\\ f_{rated}=61.95\)
For the grid frequency, 59.9 Hz
\(\rm \frac{f_{rated-f_2}}{P_{rated}-P_2}=0.05\)
\(\rm \frac{61.95-f_2}}{100-P_2} =0.05\\\\ 100-P_2 =20(61.95-59.9)\\\\P_2=100-41 \\\\ P_2=59 \ kW\)
Hence, the generator power will be 59 kW.
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e. weight = mass x gravitational field strength
i. mass as subject
ii. gravitarional field strenght as subject
f. density=mass/volume
i. mass as subject
ii. volume as subject
iii. state the relationship between density and mass
iv. state the relationship between densith anf volune
Answer:
Density is directly proportional to mass
Density is inversely proportional to volume
Why do we need to conserve water?It is an unlimited resource.It is a limited resource.There is a lot of water.There is no need to conserve water
Answer:
conserving water is important because it keeps water pure and clean while protecting the inviorment
Answer:
A C D
Explanation:
2022 EDG
at the instant shown, rank these six scenarios on the basis of the magnitude of the current in the light bulb.
At the instant shown, the six scenarios can be ranked in terms of the magnitude of current in the light bulb as follows:
1) Scenario 1 - Here, the battery is directly connected to the light bulb without any other resistors in the circuit. Therefore, the current flowing through the bulb will be the maximum among all the scenarios.
2) Scenario 3 - In this case, the battery is connected to the light bulb through a resistor. However, the resistance is less compared to other scenarios, so the current will be higher than in other cases.
3) Scenario 4 - Here, the battery is connected to the light bulb through a higher resistance compared to scenario 3. This will result in a lesser current in the bulb.
4) Scenario 5 - In this scenario, the battery is connected to the light bulb through a much higher resistance than in the previous two scenarios. Therefore, the current flowing through the bulb will be lower.
5) Scenario 6 - Here, the battery is connected to the circuit in such a way that the current will bypass the light bulb. Therefore, the bulb will not light up and the current flowing through it will be zero.
6) Scenario 2 - This scenario is similar to scenario 6 where the switch is open, so the circuit is not complete, and hence there will be no current flowing through the light bulb.
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A car accelerates uniformly from rest and
reaches a speed of 9.2 m/s in 9.7 s. The
diameter of a tire is 47.8 cm.
Find the number of revolutions the tire
makes during this motion, assuming no slip-
ping
Answer in units of rev.
Answer:
29.75 revolutions
Explanation:
The kinematic formula for distance, given a uniform acceleration a and an initial velocity v₀, is
\(d=v_0t+\frac{1}{2}at^2\)
This car is starting from rest, so v₀ = 0 m/s. Additionally, we have a = 9.2/9.7 m/s² and t = 9.7 s. Plugging these values into our equation:
\(d=0t+\frac{1}{2}\left(\frac{9.2}{9.7}\right)(9.7)^2\\d=\frac{1}{2}(9.2)(9.7)\\d=4.6(9.7)\\d=44.62\)
So, the car has travelled 44.62 m in 9.7 seconds - we want to know how many of the tire's circumferences fit into that distance, so we'll first have to calculate that circumference. The formula for the circumference of a circle given its diameter is \(c=\pi{d}\), which in this case is 47.8π cm, or, using π ≈ 3.14, 47.8(3.14) = 150.092 cm.
Before we divide the distance travelled by the circumference, we need to make sure we're using the same units. 1 m = 100 cm, so 105.092 cm ≈ 1.5 m. Dividing 44.62 m by this value, we find the number of revs is
\(44.62/1.5\approx29.75\) revolutions
HELP ME PLEASE!!!!!!!
Fluffy the Cat falls out of a tree that is 15 meters tall.
How long does it take the cat to land?
Need to show work!!!!!!
Answer:
it would take approximately 1.7 seconds for Fluffy the Cat to fall from a 15 meter tall tree.
Explanation:
To calculate the time it takes for an object to fall, you can use the following formula:
t = sqrt(2d / g)
where:
t is the time in seconds
d is the distance fallen in meters
g is the acceleration due to gravity (approximately 9.8 m/s^2 on the surface of the Earth)
So, substituting in the values for d (15 meters) and g (9.8 m/s^2), we get:
t = sqrt(2 * 15 / 9.8)
t = sqrt(30 / 9.8)
t = sqrt(3.06122448979591836734693877551)
t ≈ 1.744823934831724823036837018032 seconds
Measuring 27ml of liquid (daudgtear idnreiyc)?
Measuring 27ml of liquid using graduated cylinder, it is used to measures the volumes of liquids.
Why would someone use a graduated cylinder?Long, thin vessels called graduated cylinders are used to measure liquid volume. They are not meant to be heated, stirred, or weighed. Graduated cylinders typically come in sizes between 5 and 500 ml. Some of them can even hold volumes greater than one liter.
With your eyes directly level with the liquid, place the graduated cylinder on a flat surface and measure the height of the liquid inside. The liquid will usually slant downward. The term "meniscus" refers to this curve. Read the measurement at the meniscus's bottom at all times.
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You decide to use an iron-titanium alloy for a new turbine engine. The melting temperature of iron is 1538°C and the melting temperature of titanium is 1668°C. Do you think it will be safe to have the turbine component operate at 1150°C?
Yes, it will be safe to have the turbine component operate at 1150°C
Based on the given information, the melting temperatures of iron and titanium are 1538°C and 1668°C, respectively. In an iron-titanium alloy, these two elements are combined, resulting in an intermediate melting temperature. This alloy would have a higher melting temperature than pure iron and lower than pure titanium.
Operating the turbine engine at 1150°C would be safe, as this temperature is significantly below the melting temperatures of both elements. It provides a sufficient margin of safety for the alloy, ensuring that it remains solid and stable during operation. Additionally, alloys typically have improved mechanical properties, such as increased strength and resistance to wear, compared to their constituent elements. This makes iron-titanium alloys suitable for high-temperature applications like turbine engines.
In summary, using an iron-titanium alloy for a turbine engine operating at 1150°C should be safe and appropriate due to its enhanced mechanical properties and melting temperature range.
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Calculate the power developed in R₁.
P1= ____watts
To calculate the power developed in R₁, we need to use the formula Power (P) = (Voltage)^2 / Resistance Assuming we have the values of voltage and resistance for R₁, we can plug them into the formula and solve for power.
The let's say the voltage across R₁ is 10 volts and the resistance is 5 ohms. Power (P) = (10V) ^2 / 5Ω = 20 watts Therefore, the power developed in R₁ is 20 watts. It's important to note that power is the rate at which energy is transferred, and it's measured in watts. It indicates how much work can be done in a given amount of time. In this case, the power developed in R₁ tells us how much energy is being used or dissipated by that particular resistor.
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explain how you would measure the surface of the outline of the map of Africa
There are a few different ways to measure the surface of the outline of the map of Africa. One way is to use a planimeter. A planimeter is a device that measures the area of a plane figure by tracing its outline. To use a planimeter, you would place the point of the planimeter on the starting point of the outline of Africa and then trace the outline. The planimeter would measure the area of the outline as you trace it.
Another way to measure the surface of the outline of Africa is to use a computer. There are a number of software programs that can be used to measure the area of a map. To use one of these programs, you would first need to scan or photograph the map of Africa. Once you have scanned or photographed the map, you would open the image in the software program. The software program will then allow you to measure the area of the outline of Africa.
Finally, you could also measure the surface of the outline of Africa by hand. To do this, you would first need to draw a grid over the map of Africa. The grid should be made up of small squares. Once you have drawn the grid, you would then count the number of squares that are inside the outline of Africa. The number of squares that are inside the outline of Africa will give you the approximate area of the outline of Africa.
The best way to measure the surface of the outline of Africa will depend on the accuracy that you need. If you need an accurate measurement, then you should use a planimeter or a computer. If you only need an approximate measurement, then you can use the hand method.
5. A chemist observes that the iron fence outside his home has changed color and texture over time. Which would be a testable scientific question the scientist could ask? (2.5 Points) What will my neighbors think of me if I do not replace the fence? What could I have done to prevent the fence from changing color and texture? Will my friends think the fence is ugly? Which looks better, an iron fence or a wooden fence?
Answer:
What could have possibly turned the iron fence into a different texture and color. What chemical reaction has taken place in order to change the texture and color of the iron fence? If you live in a wealthy neighborhood, then chances are, they might think it looks lazy. Weather, Rainstorms, and high humidity cause iron fences to rust. You can probably repaint the fence a different color. As long as your friends aren't harsh with you, I don't think they'll think it's ugly. I would prefer a wooden fence and then repaint it from there.
Explanation:
I hope this helps :)
(11%)+problem+5:+suppose+a+conducting+rod+is+45.5+cm+long+and+slides+on+a+pair+of+rails+at+3.25+m/s.
Given a conducting rod that is 45.5 cm long and sliding on a pair of rails at a velocity of 3.25 m/s, we need to determine the magnitude and direction of the induced voltage when it passes through a magnetic field of 0.85 T.
To calculate the induced voltage, we can use Faraday's law of electromagnetic induction, which states that the induced voltage is equal to the rate of change of magnetic flux through the circuit. The formula for induced voltage is given by:
V = B * L * v
Where:
V is the induced voltage,
B is the magnetic field strength,
L is the length of the conducting rod perpendicular to the magnetic field, and
v is the velocity of the conducting rod.
In this case, the length of the rod perpendicular to the magnetic field is the same as the length of the rod itself, so L = 45.5 cm = 0.455 m. The magnetic field strength is given as 0.85 T, and the velocity is 3.25 m/s. Substituting these values into the formula, we have:
V = 0.85 T * 0.455 m * 3.25 m/s
V = 1.1368 V
Therefore, the magnitude of the induced voltage is approximately 1.1368 volts. The direction of the induced voltage can be determined using the right-hand rule, which states that if you point your right thumb in the direction of the velocity vector (from the rod's starting point to its endpoint), and your fingers in the direction of the magnetic field, then the direction in which your palm faces represents the direction of the induced voltage.
In conclusion, the magnitude of the induced voltage is 1.1368 volts, and the direction can be determined using the right-hand rule.
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How fast would Keesha say the ball is traveling?
Simon is riding a bike at 12 km/h away from his friend
Keesha. He throws a ball at 5 km/h back to Keesha, who
is standing still on a sidewalk.
5 km/h
0 7 km/h
12 km/h
© 17 km/h
Answer:
B
Explanation:
just took the test
Answer:
b
Explanation:
7.
A hammer of mass 200g is dropped from the top of the roof of a two-storey building to
the ground. Another hammer of equal mass fell from the coffee table to the ground. Given
that the height of the two-storey building, and the coffee table are 10 m and 1. 2m
respectively. Show that a hammer dropped from two store building roof does more work
than a hammer falling from a coffee table.
(7)
A hammer of mass 200g is dropped from the top of the roof of a two-storey building to the ground. Another hammer of equal mass fell from the coffee table to the ground. Givethat the height of the two-storey building, and the coffee table are 10 m and 1. 2m. the hammer dropped from the two-story building roof does more work as it converts a larger amount of gravitational potential energy to kinetic energy compared to the hammer falling from the coffee table.
To show that a hammer dropped from the roof of a two-story building does more work than a hammer falling from a coffee table, we can compare the gravitational potential energy converted to kinetic energy for each case.
The work done on an object is equal to the change in its energy. In this case, the work done is equal to the change in gravitational potential energy as the hammers fall.
The gravitational potential energy is given by the equation:
PE = mgh
Where PE is the potential energy, m is the mass, g is the acceleration due to gravity (approximately 9.8 m/s²), and h is the height.
For the hammer dropped from the two-story building roof:
PE1 = (0.2 kg) * (9.8 m/s²) * (10 m)
PE1 = 19.6 J
For the hammer falling from the coffee table:
PE2 = (0.2 kg) * (9.8 m/s²) * (1.2 m)
PE2 = 2.352 J
From the calculations, we can see that the potential energy for the hammer dropped from the two-story building roof (19.6 J) is significantly higher than the potential energy for the hammer falling from the coffee table (2.352 J).
Therefore, the hammer dropped from the two-story building roof does more work as it converts a larger amount of gravitational potential energy to kinetic energy compared to the hammer falling from the coffee table.
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A body weighs 1 kg on the surface of the moon. If the mass of the moon is 7.4×10 22 kg and radius of moon is 1740 km. Calculate a.The force acting between the body & the moon. b.Acceleration produced in the body. c.Acceleration produced in moon.
Answer:
multiply them together and get ur answer
Explanation:
Which type of platform lift has the lifter starting by holding the bar off the ground with straight arms then hinging
forward until the bar lowers slightly past their knees and finally driving their hips forward until standing at the original
position?
The type of platform lift that starts with holding the bar off the ground with straight arms, hinging forward until the bar lowers slightly past the knees, and then driving the hips forward until standing at the original position is called a Deadlift.
The Deadlift is a compound exercise that primarily works the muscles in the legs, hips, and back, including the glutes, hamstrings, quadriceps, and erector spinae.
It is a staple exercise in many strength and powerlifting training programs, as well as a functional movement that can improve overall fitness, athletic performance, and daily life activities.
Construction lifts are strong tools. Encompassing boom scissor lifts, lifts, forklifts and other types of aerial and man lifts, construction lifts mention to any lifting machinery that quality an aerial platform supported by a vehicle-mounted extension.
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The gravitational potential energy of the ball changes as it bounces. Where is the ball located when its gravitational potential energy is greatest? Where is the ball when its gravitational potential energy has the least value?
When the planet is closest to the Sun, speed v and kinetic energy are the highest, and gravitational potential energy is the lowest. When the planet moves farther away, the speed and kinetic energy decrease, and the gravitational potential energy increases.
a hard white translucent ceramic made of white clay is called ______. multiple choice question.
A hard white translucent ceramic made of white clay is called porcelain. Porcelain is a type of ceramic material created by heating materials, primarily white clay or kaolin, to high temperatures in a kiln.
The process involves heating the white clay to temperatures between 1200 and 1400 degrees Celsius. This results in a vitrification process that gives the ceramic its distinctive hardness, strength, and translucency.
The production of porcelain originated in China, where it has been crafted for centuries. Over time, the techniques for creating porcelain spread to other parts of the world, including Europe, where it was highly prized for its beauty and durability.
Porcelain is often used to create a variety of items, including dinnerware, decorative objects, and even electrical insulators due to its low conductivity.
Porcelain is made by combining white clay with other materials, such as feldspathic material and bone ash, to achieve the desired properties. After the raw materials are mixed, they are shaped using various techniques, such as slip casting or throwing on a potter's wheel.
Once the desired shape is achieved, the porcelain is dried and then fired in a kiln at high temperatures. The firing process allows the ceramic to become hard, dense, and translucent.
In summary, porcelain is a hard white translucent ceramic made of white clay, which is prized for its beauty, strength, and versatility. The process of creating porcelain involves heating white clay and other materials to high temperatures in a kiln, resulting in a durable and attractive material that has been used for centuries to create a wide range of objects.
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Complete Question:
A hard white translucent ceramic made of white clay is called ______.
What type of matter is 10 grams of calcium?
plz help me begging
Answer:
A pure element.
Explanation:
Calcium, being whatever weight, is a pure element.
Hope this helped! Have a good day.
Answer:
the answer is
Explanation: Calcium is a chemical element with symbol Ca and atomic number 20. Classified as an alkaline earth metal, Calcium is a solid at room temperature.
Which statement is a hypothesis?
A. I hear crickets in the summer, so cricket chirp more when it's warm outside.
B. Does temperature affect how much crickets chirp?
C. Crickets are cooler than grasshoppers.
D. If the temperature increases, then the crickets will chirp more.
(Please help.)
The statement that is a hypothesis is "If the temperature increases, then the crickets will chirp more ( D )".
Option D is an hypothesis because it is assumed on the evidence that as there is an increase in temperature, the chirping increases. It is not conclusive but it is a thought.
Option A is a theory, because it contains a hypothesis with a fact. The hypothesis being the warmer it gets the chirping happens and the fact being able to hear crickets in summer. Option B is a question. Option C is just a personal preference because cooler is a slang for I like it.
Therefore, the statement that is a hypothesis is "If the temperature increases, then the crickets will chirp more ( D )".
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A penny is pushed off a desk 2m high. How long does it take the penny to hit the floor?
Explanation:
why do you think is important to study about that different forms of precolonial literature?
Un auto que acelera a razón de 2 m/S^2 ; Si para cierto tramo se observa que logra triplicar su rapidez en 6 s. ¿Cuál fue su rapidez al final de estos 6 segundos?
Answer:
12m/s
Explanation:
Using the equation of motion
v = u + at
Given that
u = 0m/s
a = 2m/s²
time t = 6s
Substitute the given values into the expression
v = 0 + 2(6)
v = 0+12
v = 12m/s
Hence the required velocity is 12m/s
17. What is the approximate speed of sound in air at a temperature of 27 C?
a. 315 m/s
b. 304 m/s
c. 348 m/s
d. 358 m/s
The approximate speed of sound in air at a temperature of 27 C is 348 m/s. Hence option C is correct.
Sound waves are a form of energy transmission method that uses adiabatic loading and unloading to move across a material. Acoustic pressure, particle velocity, particle displacement, and acoustic intensity are all important parameters for defining acoustic waves. Acoustic waves have a particular acoustic velocity that relies on the medium through which they move. Acoustic waves include audible sound from a speaker (waves travelling through air at the speed of sound) and seismic waves.
Hence option C is correct.
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Large scale integrated (LSI) circuit chips are made in one department of an electronics firm. These chips are incorporated into analog devices that are then encased in epoxy. The yield is not particularly good for LSI manufacture, so the AQL specified by that department is 0.15 while the LTPD acceptable by the assembly department is 0.40.
Develop a sampling plan.
Explain what the sampling plan means; that is, how would you tell someone to do the test?
To develop a sampling plan for LSI circuit chips, an electronics firm should consider the AQL (Acceptable Quality Level) of 0.15 specified by the LSI manufacturing department and the LTPD (Lot Tolerance Percent Defective) of 0.40 acceptable by the assembly department.
The sampling plan should involve selecting a representative sample of LSI circuit chips from the manufacturing department and conducting tests to determine their quality. The AQL of 0.15 means that the manufacturing department will tolerate no more than 15% defective chips in a given sample. Therefore, the sampling plan should ensure that the sample size is large enough to provide statistical confidence in determining the quality level of the chips.
The assembly department's LTPD of 0.40 indicates the maximum allowable defective rate for the chips after assembly. This implies that the sampling plan needs to consider the overall quality of the chips and their performance in the final analog devices.
To execute the sampling plan, one could follow these steps:
1. Determine the appropriate sample size based on statistical calculations, taking into account the desired confidence level and the acceptable quality levels specified by both departments.
2. Randomly select the required number of LSI circuit chips from the manufacturing department.
3. Perform thorough testing and inspection on the selected chips to identify any defects or anomalies.
4. Calculate the defect rate based on the number of defective chips found in the sample.
5. Compare the defect rate with the specified AQL and LTPD to assess if the chips meet the required quality standards.
6. Provide feedback to the manufacturing and assembly departments based on the results, taking necessary actions if the quality standards are not met.
By following this sampling plan, the electronics firm can ensure that the LSI circuit chips meet the required quality standards and are suitable for use in analog devices.
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What is the mass of an object that has 324 J of energy and is moving at a speed of 9 m/s? Answer:
Answer:
the mass of that object = 324 ÷ 9 = 36j
Answer:
36 kg
Explanation:
m=?
KE= 324 J
v= 9 m/s
m= 324 / 9
= 36 kg