Each phase of the load is a series RL combination with R = 10 Ω
and L = 30 mH. The three-phase source is 480 V RMS line-to-line at
60 Hz, and the delay angle α is 75°. Determine the RMS value of th
Answers
A three-phase load is a series RL circuit where the resistance and inductance of each phase are 10 Ω and 30 mH, respectively. The three-phase source has a line-to-line RMS voltage of 480 V at 60 Hz, and the delay angle α is 75°. To find the RMS value of the source current, we first need to calculate the impedance of each phase of the load and the line-to-neutral voltage.
Impedance of each phase of the load:The impedance of an RL circuit can be expressed using the following equation:Z = √(R²+Xl²), where R is the resistance and Xl is the inductive reactance. The inductive reactance can be calculated using the following equation:Xl = 2πfL, where f is the frequency and L is the inductance.
The impedance of each phase of the load can be found as follows:XL = 2π(60)(30 × 10-3) = 11.31 ΩZ = √(R²+Xl²) = √(10²+(11.31)²) = 15 Ω Line-to-neutral voltage:Since the line-to-line voltage is 480 V RMS, the line-to-neutral voltage can be calculated as follows:VLN = VLL/√3 = 480/√3 = 277.13 V RMS RMS current:We can use the following equation to find the RMS current of the source:I = V/Z, where V is the line-to-neutral voltage and Z is the impedance of each phase of the load. Therefore, the RMS current of the source can be found as follows:I = V/Z = 277.13/15 = 18.48 ATherefore, the RMS value of the source current is 18.48 A.
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Related Questions
Write a statement that explains the relationship among velocity, speed, and direction.
Answers
Answer:
velocity is the speed and direction of a moving object
Explanation:
that is basicaly the defention
In your own words define the following term and state its
importance for hypothesis testing (2 points correct definition, 3
points correct importance for hypothesis testing).
Null Hypothesis
Sampling
Answers
Sampling is the process of selecting a subset of individuals or items from a larger population in order to gather information or make inferences about the whole population. This method allows researchers to collect data from a smaller group, which is more efficient and cost-effective than collecting data from the entire population.
Sampling is a crucial process in research because it helps ensure that the data collected is representative of the population and reduces the potential for bias. There are several types of sampling methods, including random sampling, stratified sampling, and convenience sampling. The choice of sampling method depends on the research question, the population being studied, and the resources available to the researcher. The accuracy of the data obtained from a sample depends on the sample size and the sampling method used. A larger sample size is generally more representative of the population and reduces the margin of error, while a smaller sample size may be more susceptible to sampling bias.
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what does boyle's law state about pressure and volume at a constant temperature and a constand pressure
Answers
Boyle's Law states that at a constant temperature, the volume of a gas is inversely proportional to its pressure, while keeping the amount of gas constant.
This means that if the pressure of a gas is doubled, the volume of the gas will be reduced to half, and if the pressure is reduced to one-third of its original value, the volume of the gas will be increased by a factor of three.
Mathematically, Boyle's Law can be expressed as:
P1V1 = P2V2
where P1 and V1 represent the initial pressure and volume, respectively, and P2 and V2 represent the final pressure and volume, respectively. As long as the temperature and the amount of gas are kept constant, the product of pressure and volume remains constant.
Boyle's Law is often observed in everyday life, such as when inflating a balloon. When the balloon is inflated, the pressure inside the balloon increases, causing the volume to expand. Conversely, when the balloon is deflated, the pressure decreases, causing the volume to decrease as well.
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A U-Shaped tube of constant cross-sectional area contains water of density 1000kg/m cubed. Bothe side of the tube are open to the atmosphere. The atmospheric pressure is 1. 00 x 10 to the power of 5. The left hand side is now connected to a gas supply using a length of rubber tubing. This causes the level of the water in the left hand side to drop by 0. 200m. Calculate the pressure of the gas supply. Give your answer to 3 significant figures
Answers
Answer:
If the water in the left side drops .2 m then the water on the right side rises by .2 m
The pressure on the gas is due to the height difference of the water on the two sides.
P = ρ g h
ρ g = 9.8 m/s^2 * 1000 kg / m^3 = 9800 N/m^3 weight density of water
P = 9800 N/m^3 * .4 m = 3920 N / m^2 = 3.92E3 N/m^2
Absolute pressure of gas = 3.92E3 / 1.01E5 = .0388 atmosphere
The index of refraction of crown glass is 1.515 for red light and 1.523 for blue light. Find the angle separating rays of the two colors in a piece of crown glass if their angle of incidence is 42o .
Answers
Given:
The angle of incidence is,
\(i=42\degree\)The refractive index of the crown glass for red light is,
\(n_r=1.515\)The refractive index of the crown glass for blue light is,
\(n_b=1.523\)To find:
The angle separating rays of the two colours in a piece of crown glass
Explanation:
We know, Snell's law,
\(n_1sini=n_2sinr\)For, the red light,
\(\begin{gathered} 1\times sin42\degree=1.515sinr_r \\ sinr_r=\frac{sin42\degree}{1.515} \\ r_r=sin^{-1}(0.4417) \\ r_r=26.2\degree \end{gathered}\)For, the blue light,
\(\begin{gathered} 1\times sin42\degree=1.523sinr_b \\ r_b=sin^{-1}\frac{sin42\degree}{1.523} \\ r_b=26.1\degree \end{gathered}\)The separation between the refracted rays is,
\(\begin{gathered} r_r-r_b=26.2\degree-26.1\degree \\ =0.1\degree \end{gathered}\)Hence, the required separation is 0.1 degrees.
The long structure of small intestine is accommodated in small space within our body. Comment.
Answers
i reallllly need someone to answer this quick. it's fine if you can't though
Answers
Answer:
The correct order of answers goes:
\(\left[\begin{array}{ccc}Ionic\\Electronegativity\\Metallic\\Cation\end{array}\right]\)
Explanation:
Ionic - Ionic bonds are formed between a metal and a nonmetal (typically). Nonmetals are typically more electronegative elements because they are seeking to gain electrons to achieve atomic stability while metals want to give up electrons to those elements to become atomically stable. Therefore, the nonmetals are much more electronegative in comparison to the metals.
Electronegativity - Electronegativity is used mathematically to predict the type of bond that will occur between elements. The larger electronegativity has the smaller electronegativity subtracted from it to give us a number that we then apply to ranges within a table and try to decipher what kind of bond will be formed.
Metallic - This plays into both explanations already given. Metallic bonds will form between metals, meaning their electronegativities will be much lower. Higher differences between electronegativities (anything above 1.7) is considered ionic, while anything from 0.1 to 1.69 is considered covalent (these split to make polar and nonpolar covalence).
Cation - Cation is the term for a positively charged ion. It comes from cathode (a scientist completed an experiment with the cathode ray tube where they accelerated positively charged particles throughout it).
Where is the deepest cave in the world? How far down is it located?
i need help asap please help fast
Answers
Answer:
Geology Notes
1 Veryovkina Cave 2212[1] 13.5 km (8.4 mi)[1] Abkhazia / Georgia 43°23′52″N 40°21′37″E.
An airplane flies on a level path. There is a pressure difference of 587 Pa between the lower and upper surfaces of the wings. The area of each wing surface is about 100 m2. The air moves below the wings at a speed of 80.5 m/s.Estimate the air speed above the wings. Density of air is 1.29 kg/m3.
Answers
ANSWER:
85.97 m/s
STEP-BY-STEP EXPLANATION:
Bernoulli’s theorem is written as:
\(P_1+\frac{1}{2}\cdot\rho\cdot v^2_1+\rho\cdot g\cdot h_1=P_2+\frac{1}{2}\cdot\rho\cdot v^2_2+\rho\cdot g\cdot h_2\)The potential energy is zero as the height is same, therefore:
\(\begin{gathered} \rho\cdot g\cdot h=0 \\ P_1+\frac{1}{2}\cdot\rho\cdot v^2_1+0=P_2+\frac{1}{2}\cdot\rho\cdot v^2_2+0 \\ P_1+\frac{1}{2}\cdot\rho\cdot v^2_1=P_2+\frac{1}{2}\cdot\rho\cdot v^2_2 \\ \text{ we solve for }v_1\colon \\ \frac{1}{2}\cdot\rho\cdot v^2_1=P_2-P_1+\frac{1}{2}\cdot\rho\cdot v^2_2 \\ v^2_1=\frac{2}{\rho}\cdot(P_2-P_1)+\frac{2}{\rho}\cdot\frac{1}{2}\cdot\rho\cdot v^2_2 \\ v^2_1=\frac{\Delta P}{\rho}+v^2_2 \\ v_1=\sqrt[]{\frac{2\Delta P}{\rho}+v^2_2} \\ \text{ replacing the values:} \\ v_1=\sqrt[]{\frac{2\cdot587}{1.29}+80.5^2} \\ v_1=85.97\text{ m/s} \end{gathered}\)The air speed above the wings is 85.97 m/s
Why is chlorine bonded by a single covalent bond, but Oxygen bonded by a double covalent bond?
Answers
Answer:
chlorine is a non-metal.
Explanation:
a chlorine atom has 7 electrons in its outer shell. chlorine is in group 7 of the periodic table. two chlorine atoms will each share one electron to get a full outer shell and form a stable cl2 molecule.
Can an object be charged negatively with the help of a positively charged object?.
Answers
Answer:
Sure...it can be
Explanation:
When a positively charged body is brought near the neutral body, the body is negatively charged through electrostatic induction.
• At contact, the negative charges of a body are attracted to the near end of that body hence neutralization.
• When the positively charged body is removed and the body is earthed, it remaims negatively charged.
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The absorption and reflection of waves, such as sound and light, is called
Answers
The absorption and reflection of waves, such as sound and light is called as wave interaction or wave behavior.
The absorption and reflection of waves, such as sound and light, are fundamental properties that determine how waves interact with different materials and surfaces.
Absorption occurs when a wave transfers its energy to a medium or material, causing the wave to diminish in intensity. The absorbed energy is converted into other forms, such as heat. Different materials have varying abilities to absorb waves, depending on their physical properties and composition. For example, materials with porous structures or soft surfaces tend to absorb sound waves more effectively, leading to reduced sound reflection.
Reflection, on the other hand, refers to the bouncing back of waves when they encounter a surface or boundary. When a wave encounters a reflective surface, a portion of the wave's energy is reflected back into the medium from which it originated. The remaining energy may be absorbed or transmitted through the material, depending on its properties. Smooth and polished surfaces are often good reflectors of both sound and light waves.
The balance between absorption and reflection determines the behavior of waves in various environments. It influences factors such as the audibility of sound, visibility of objects, and the quality of acoustics in architectural spaces. Understanding and controlling absorption and reflection properties is crucial in fields such as architecture, materials science, audio engineering, and optics.
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1. Light traveling through air (n = 1.000293) strikes an ice cube (n = 1.309) at a 30° angle, Determine the angle at which the light refracts when it enters the ice cube.
Answers
Answer:
The angle at which light bends or refracts as it passes from one medium to another is given by Snell's law, which states that the ratio of the sines of the angles of incidence and refraction is equal to the ratio of the indices of refraction of the two media:
n1 sin(θ1) = n2 sin(θ2)
where n1 and n2 are the indices of refraction of the two media, θ1 is the angle of incidence, and θ2 is the angle of refraction.
In this problem, we are given that light is traveling through air with an index of refraction of n1 = 1.000293 and strikes an ice cube with an index of refraction of n2 = 1.309 at an angle of incidence of θ1 = 30°. We are asked to find the angle of refraction θ2.
Substituting the given values into Snell's law, we get:
1.000293 sin(30°) = 1.309 sin(θ2)
Solving for sin(θ2), we get:
sin(θ2) = (1.000293 / 1.309) sin(30°) = 0.5033
Taking the inverse sine of both sides, we get:
θ2 = sin^(-1)(0.5033) = 30.22°
Therefore, the angle at which the light refracts when it enters the ice cube is approximately 30.22°.
A wave crest passes a particular point every \(\frac{1}{10}\) th of a second. Calculate the frequency of the wave.
Answers
Answer:
Explanation:
Given:
T = 1/10 s - Wave oscillation period
_____________________________
f - ?
The frequency of the wave:
f = 1 / T = 1 / (1/10) = 10 Hz
An Earth observer notes that clocks on a passing spacecraft run slowly. The person on the spacecraft
Check all that apply.
a. agrees her clocks move slower than those on Earth.
b. observes that Earth clocks are moving slowly.
c. feels normal, and her heartbeat and eating habits are normal.
d. The real time is in between the times measured by the two observers.
Answers
Agrees her clocks move slower than those on Earth., c. feels normal, and her heartbeat and eating habits are normal, d. The real time is in between the times measured by the two observers due to time dilation.
The observer on the passing spacecraft would agree that their clocks move slower than those on Earth due to time dilation effects caused by their relative motion.
They would still experience their own time as normal, with normal bodily functions such as heartbeat and eating habits.
However, due to the time dilation, the time measured by the observer on Earth would be different from the time measured by the observer on the spacecraft. The "real time" would be somewhere in between the times measured by the two observers.
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heat transfer that occurs through liquids and gases is called
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Heat transfer that occurs through liquids and gases is called Convection.
Heat transfer is the exchange of thermal energy between physical systems. It occurs when there is a temperature difference between two objects or regions of space, causing heat to flow from the hotter system to the cooler one. There are three modes of heat transfer: conduction, convection, and radiation.
Conduction is the transfer of heat through a material by direct contact. In this mode, heat flows from a region of higher temperature to a region of lower temperature. Convection is the transfer of heat through a fluid (liquid or gas) by the movement of the fluid itself. This mode of heat transfer occurs through convection currents, where hot fluids rise and cooler fluids sink.
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Rods and cones are the two types of photoreceptors in the eye. Imagine that an evil supervillain has the power to damage either only the rods in your eye or the cones in your eye, so that you would lose the functionality of one type of photoreceptor but retain the other.
1. How would your vision change if rods were selectively damaged by this supervillain?
2. How would it change if cones were damaged instead?
3. Which would you choose to keep—rods or cones—and why?
4. Would this choice change if you were a nonhuman animal?
Answers
If the rods in your eye were selectively damaged by the supervillain, you would experience reduced vision in dim light and an inability to see color. This is because rods are responsible for vision in low light and do not detect color, while cones are responsible for color vision and work best in bright light.
If the cones in your eye were damaged instead, you would experience reduced color vision and an inability to see clearly in bright light. This is because cones are responsible for color vision and work best in bright light, while rods are responsible for vision in low light and do not detect color.
It really depends on the individual and their needs. If you are a person who spends a lot of time in low light, you may want to keep the rods intact so that you can still see in dim light. On the other hand, if you are someone who needs to distinguish between colors, you may want to keep the cones intact so that you can still see colors.
Yes, this choice would change if you were a nonhuman animal, since different species have different levels of light vision and color vision. For example, some animals, such as cats, have sharper vision in low light, while others, such as birds, have sharper color vision. Depending on the species and the needs of the animal, they may want to keep either rods or cones intact.
An astronaut on the ISS is doing an experiment with two puffy Cheetos inside a carefully sealed container. A charge of 1.2 E−5 C is place on the first Cheeto. The second one receives a charge of 2.5 E−6 C. The force acting on the first Cheeto is 5.73 E−1 N. What is the distance between the Cheetos if k = 8.99 E9 N*m2/C2?70 cm60 cm40 cm49 cm
Answers
ANSWER:
1st option: 70 cm
STEP-BY-STEP EXPLANATION:
Given:
Force (F) = 5.73 E−1 N^
Electrical charge 1 (q1) = 1.2 E−5 C
Electrical charge 2 (q2) = 2.5 E−6 C
k = 8.99 E9 N*m2/C2
We can calculate the distance between both charges with the help of Coulumb's law, just like this:
\(F=k\cdot\frac{q_1\cdot q_1}{d^2}\)We substitute and solve for the distance, just like this:
\(\begin{gathered} 5.73\cdot\: 10^{-1}=\frac{8.99\cdot10^9\cdot\:1.2\cdot\:10^{-5}\cdot2.5\cdot10^{-6}}{d^2} \\ d^2=\frac{8.99\cdot10^9\cdot1.2\cdot10^{-5}\cdot2.5\cdot10^{-6}}{5.73\cdot10^{-1}} \\ d=\sqrt[]{0.47} \\ d=0.69\text{ m}\cong0.70\text{ m}=70cm \end{gathered}\)The distance is 70 centimeters
Uranium-235 has 92 protons. How many neutrons does it have?
Answers
Answer:
146 neutrons.
Explanation:
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Answer: The atomic number of uranium (see periodic table) is 92, and the mass number of the isotope is given as 238. Therefore, it has 92 protons, 92 electrons, and 238 — 92 : 146 neutrons.
Explanation:
5) A toxic chemical accidentally released into the environment from a metal processing plant degrades according to the law dQ = -0. 04Q dt where t is measured in years. If the initial leak is of 60kg,
Answers
The given differential equation is:
dQ/dt = -0.04Q
where Q is the quantity of the toxic chemical and t is time in years.
To solve this differential equation, we can use separation of variables:
dQ/Q = -0.04 dt
Integrating both sides, we get:
ln|Q| = -0.04t + C
where C is the constant of integration. To find the value of C, we can use the initial condition that the initial leak is 60 kg:
ln|60| = -0.04(0) + C
C = ln|60|
Substituting this value of C back into the general solution, we get:
ln|Q| = -0.04t + ln|60|
Simplifying, we get:
ln|Q/60| = -0.04t
Exponentiating both sides, we get:
Q/60 = e^(-0.04t)
Multiplying both sides by 60, we get the final solution:
Q = 60e^(-0.04t)
Therefore, the quantity of the toxic chemical present at any time t (measured in years) after the initial leak is:
Q(t) = 60e^(-0.04t)
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explain why equilibrium constants are dimensionless.
Answers
The dimension of concentration is shared by the equivalent formulas for equilibrium constants in thermodynamic and kinetic systems, although K, the thermodynamic equilibrium constant, is always dimensionless.
What justifies the units of the equilibrium constant?Because we're intended to use active masses rather than the molarity or concentrations of the different chemicals, the equilibrium constant by definition has no units. The mass that is reacting to the overall mass present is measured as active mass, which has no units. Therefore, in a perfect world, the equilibrium constant has no unit.The dimension of concentration is shared by the equivalent formulas for equilibrium constants in thermodynamic and kinetic systems, although K, the thermodynamic equilibrium constant, is always dimensionless.The concentration or pressure terms that are included in equilibrium expressions are actually ratios with the forms (n mol L-1)/(1 mol L-1) or (n atm)/(1 atm), respectively, in which the unit quantity in the denominator refers to the standard. Therefore, equilibrium expressions strictly speaking do not have units.To learn more about equilibrium constants refer to:
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could not find angular material core theme. most material components may not work as expected
Answers
When you see the error message "could not find angular material core theme. most material components may not work as expected," it means that the Angular Material theme is missing, and the application is having difficulty displaying Material components.
How to resolve the issue?Here are some steps to resolve this issue:
1. You should first ensure that Angular Material has been installed in your application. You may use the following command to install Angular Material:ng add ("at" symbol)angular/material
2. Then, import the necessary styles in the styles.scss file to include the Angular Material theme.
Once you've completed these steps, restart your server and see if the error has been resolved. The Material Design components should now display correctly.
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Describe specifically why a one-time pad is completely unbreakable. What happens if we try and brute-force
something encrypted with a one-time pad?
Encrypt the message "yellowstone" using the key "wolf" using the vignere cipher.
Answers
A one-time pad is a type of encryption that is completely unbreakable if it is done correctly. It works by generating a random key that is at least as long as the message being encrypted. The key is then combined with the message using an XOR operation.
This produces a ciphertext that cannot be decrypted without the key. The key is used only once and then discarded, hence the name "one-time pad". A one-time pad is completely unbreakable because there is no pattern to the key that can be used to decrypt the message. Each character in the key is generated randomly and independently of the other characters. Therefore, the key is completely unpredictable. Even if an attacker knows the key length and has access to the ciphertext, they cannot use any techniques to decrypt it.
This is because there is no pattern to the ciphertext that can be used to determine the key.The only way to decrypt a one-time pad is to have the key. If an attacker tries to brute-force the encryption by trying all possible keys, they will generate every possible message that is the same length as the original message. This means that the ciphertext is completely meaningless without the key. It is therefore important to keep the key secret and ensure that it is only used once. ,Message: yellow stone Key: wolf To encrypt the given message using the vigenere cipher, we follow the steps below:Step 1: Write the message and key in a tabular form as shown below. To keep the process organized, we use the letters of the key to label the columns.
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An object’s density is 15 g/cm^3 and its volume is 3 cm^3. What is its mass?
I need help!
Answers
The mass of the object that has a density of 15g/cm³ and a volume of 3cm³ is 45g.
How to calculate mass?The density of a substance is the measure of the mass of matter contained by a unit volume. It can be calculated as follows:
Density = mass ÷ volume
This means that the mass can be calculated by multiplying the volume by the density of the substance.
According to this question, an object has a density of 15g/cm³ and a volume of 3cm³. The mass can be calculated as follows:
Mass = 3cm³ × 15g/cm³
Mass = 45g
Therefore, 45 grams is the mass of the object.
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Kenny wants to get to Washington DC within 4 hours. Washington DC is 133 miles away from where he is. What is the avg speed he must go in order to meet his time frame ?
Answers
Four types of friction and the definition
Answers
Explanation:
Static Friction is the force of friction on an object that is not moving.
Sliding Friction is resistance created by two objects sliding together.
Rolling Friction is the force of friction opposing a rolling object on a surface.
Fluid Friction occurs between layers of fluid moving in relative distance to each other.
which gravitational pull has the greatest effect on tides?
Answers
Answer: The pull of the Moon's gravity on Earth is the primarily cause of tides and the pull of the Sun's gravity on Earth is the secondary cause. The Moon has a greater effect because, although it is much smaller than the Sun, it is much closer. The Moon's pull is about twice that of the Sun's.
the destroyactor function must be used to destroy a particle system. choose one • 1 point true false
Answers
True, the destroyactor function must be used to destroy a particle system.
The destroyactor function is a method that is used to remove an actor or object from a scene in programming. In the context of particle systems, when you want to remove a particle system from your scene, you need to use the destroyactor function. This function will effectively destroy the particle system and remove it from memory, freeing up resources.
It is important to properly destroy particle systems when they are no longer needed to prevent memory leaks and optimize performance. Therefore, the statement that the destroyactor function must be used to destroy a particle system is true.
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A particle is constrained to move round a circle radius 382400km and makes a single revolution in 27.3 days. (i). Find the velocity in ms-1. (ii). Find its acceleration
Answers
The velocity and acceleration of the particle moving round the circle is;
Velocity = 162.12 m/s
Velocity = 162.12 m/sAcceleration = 6.873 × 10^(-5) m/s²
We are given;
Radius of circle; 382400 km = 382400000 m
Time; t = 27.3 days = 27.3 × 86400 s = 2358720 s
Now, formula for velocity is;
Velocity = distance/time
Thus;
I) velocity = 382400000/2358720
Velocity = 162.12 m/s
II) Acceleration is centripetal acceleration and is given by the formula;
a = v²/r
a = 162.12²/382400000
a = 6.873 × 10^(-5) m/s²
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ASAP! HELP!
A 66.4 kg person sits on the right end of a seesaw, 2.35m from the fulcrum. On the other end, how far from the fulcrum should a 84.2kg person sit to balance the seesaw?
1: 1.92 m
2: 1.85m
3: 2.08m
4: 1.61 m
Answers
Answer:
2. 1.85
Explanation:
the equations weight * distance / other persons weight = distance from fulcrum. so 66.4*2.35/84.2=1.8532 round down to 1.85