The tension is in each rope will be 230.535 N .
Tension also known as tensile force is the force developed in a rope, string, or cable when it is stretched by an applied force.
Formula for the tension is T = mg.Mass of the gymnast = m = 47 kg
Acceleration due to gravity = g = 9.81 \(m/s^{2}\)
T = m*g
T = 47 * 9.81
T = 461.07 N
Since there are two parallel ropes attached to the ceiling, therefore tension will be equally divided into each rope respectively.
Tension in each rope = t
t = \(\frac{T}{2}\)
t = \(\frac{461.07}{2}\)
t = 230.535 N
The tension in each rope will be 230.535 N, when both the ropes are attached to the ceiling directly above the gymnast.
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This graph shows the energy of a reaction over time. Which statement is
true?
A. H represents the energy of the products.
B. G represents the activation energy.
C. G represents the energy of the products.
D. F represents the activation energy
Answer: D.
Explanation: Just took the quiz.
Answer:
D. F represents the activation energy
Explanation:
Cardiovascular exercise involves
Answer:
Cardiovascular exercise is any vigorous activity that increases heart rate and respiration and raises oxygen and blood flow throughout the body while using large muscle groups of the body repetitively and rhythmically.
Explanation:
Hope it helps :]
positively charged particle in a uniform magnetic field is moving in a circular path of radius r perpendicular to the field. how much work does the magnetic force f do on the charge for half a revolution?
In a homogeneous magnetic field, a positively charged particle moves in a circular route with a radius of r that is perpendicular to the field. For a half-revolution, there is no magnetic force F exerted on the charge.
A area of space where magnetic forces are present is called a magnetic field. It is produced by moving electric charges or by the intrinsic magnetic moments of elementary particles, such as electrons or protons. Magnetic field lines always form closed loops, indicating that magnetic fields have no beginning or end.
Magnetic fields play an important role in many areas of science and technology, from the behavior of compasses and the Earth's magnetic field to the operation of motors and generators. They also have a wide range of practical applications, such as in medical imaging, particle accelerators, and magnetic storage devices. Understanding the properties and behavior of magnetic fields is essential for many fields of science and engineering.
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Complete Question:-
A positively charged particle in a uniform magnetic field is moving in a circular path of radius r perpendicular to the field. How much work does the magnetic force F do on the charge for half a revolution?
Can a body be in equilibrium if it is revolving clockwise under the action of a single force?
Answer: A rotating body or system can be in equilibrium if its rate of rotation is constant and remains unchanged by the forces acting on it.
hope this helped
How do you write an article?
Answer:
Choose/Pick your topic which is required for your target audience. Do some research and collect the needed information for your selected topic. Organize all important topic related facts & stats in a logical way. Write all your reader’s needs to influence & help them. Make your views unique & specific. Read, Revise, and Repeat. Cross-check the grammatical mistakes & avoid unnecessary & repetitive lines
Hope this helps!!
Answer:
You have to choose a topic which you'd might like. And write about it. Make sure to provide lots of details and make your reasoning very strong to support your topic. Make sure to re-read and edit misinformation. Correct all grammatical errors and as such that do not make sense. Make sure to do great researching on the internet to provide lots of evidence for your chosen topic.
Which of the following has the smallest mass? O a. 10.0 mol of F2 O b. 5.50 x 1024 atoms of 12 O c. 3.50 x 1024 molecules of 12 O d. 255. g of Cl2 O e. 0.020 kg of Br2
The option with the smallest mass is e. 0.020 kg of Br2.Option E
To determine which option has the smallest mass, we need to compare the masses of each given quantity.
a. 10.0 mol of F2:
To find the mass, we can use the molar mass of F2, which is 38.0 g/mol. Therefore, the mass of 10.0 mol of F2 is:
10.0 mol * 38.0 g/mol = 380 g
b. 5.50 x 10^24 atoms of 12O:
To find the mass, we need to know the molar mass of 12O. However, the given molar mass is for F2, not for 12O. Therefore, we cannot determine the mass of this option.
c. 3.50 x 10^24 molecules of 12O:
Similarly, without the molar mass of 12O, we cannot determine the mass of this option.
d. 255 g of Cl2:
Since the molar mass of Cl2 is 70.9 g/mol, the number of moles in 255 g can be calculated as:
255 g / 70.9 g/mol = 3.59 mol
e. 0.020 kg of Br2:
The molar mass of Br2 is 159.8 g/mol. To convert 0.020 kg to grams, we multiply by 1000:
0.020 kg * 1000 g/kg = 20 g
Now we can determine the number of moles:
20 g / 159.8 g/mol ≈ 0.125 mol
Comparing the number of moles, we find that option d (255 g of Cl2) has the largest number of moles, indicating a larger mass compared to the other options. Among the remaining options, option e (0.020 kg of Br2) has the smallest mass. Option e
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the combination of a uniform flow and a source can be used to describe flow around a streamlined body called a half- body. (see video v6.5.) assume that a certain body has the shape of a half-body with a thickness of 0.5 m. if this body is placed in an airstream moving at 15 m/s, what source strength is required to simulate flow around the body?
The combination of a uniform flow and a source can be used to describe flow around a streamlined body called a half- body. (see video v6.5.) assume that a certain body has the shape of a half-body with a thickness of 0.5 m. if this body is placed in an airstream moving at 15 m/s, The source strength is required to simulate flow around the body is (m)= 94.2 kg.
What is force?Force is a physical appearance that happen on a object of some amount of masses and then it changes it form and move a bit that called the force. It is a vector quantity. It can be measured in Newton, Dyne.
How can we calculate the source strength is required to simulate flow around the body?To calculate the source strength is required to simulate flow around the body we are using the formula here is,
v= m/2*π*b
Or, m= 2*π*b*v
Here we are given,
b= The thickness of a certain body has the shape of a half-body = 2*r = 2* 0.5 = 1 m
v = The velocity of the object. = 15 m/s.
We have to calculate the values of the source strength is required to simulate flow around the body = m kg
Now we put the values in above equation we get,
m= 2*π*b*v
Or, m= 2*π*1*15
Or, m= 94.2 kg
so we can say that , The source strength is required to simulate flow around the body is (m)= 94.2 kg
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one of the nuclides in each of the following pairs is radioactive. predict which is radioactive and which is stable.
a. 39/19K is stable, and 40/19K is radioactive.
b. 209Bi is stable, and 208Bi is radioactive.
c. Both nickel-58 and nickel-65 are stable; neither is radioactive.
To determine which nuclide in each pair is radioactive and which one is stable, we need to consider the properties of the nuclides, specifically their atomic numbers (Z) and mass numbers (A).
a. 39/19K and 40/19K:
Nuclide 39/19K has an atomic number (Z) of 19 and a mass number (A) of 39.
Nuclide 40/19K has an atomic number (Z) of 19 and a mass number (A) of 40.
Both nuclides have the same atomic number, indicating they are isotopes of potassium. However, only one of these isotopes is radioactive. In this case, 40/19K is radioactive, and 39/19K is stable.
b. 209Bi and 208Bi:
Nuclide 209Bi has an atomic number (Z) of 83 and a mass number (A) of 209.
Nuclide 208Bi has an atomic number (Z) of 83 and a mass number (A) of 208.
Both nuclides have the same atomic number, indicating they are isotopes of bismuth. In this case, 209Bi is the stable nuclide, and 208Bi is radioactive.
c. Nickel-58 and nickel-65:
Nickel-58 has an atomic number (Z) of 28 and a mass number (A) of 58.
Nickel-65 has an atomic number (Z) of 28 and a mass number (A) of 65.
Both nuclides have the same atomic number, indicating they are isotopes of nickel. In this case, both nickel-58 and nickel-65 are stable, as neither of them is radioactive.
Hence, a. 39/19K is stable, and 40/19K is radioactive.
b. 209Bi is stable, and 208Bi is radioactive.
c. Both nickel-58 and nickel-65 are stable; neither is radioactive.
The given question is incomplete and the complete question is '' One of the nuclides in each of the following pairs is radioactive. Predict which is radioactive and which is stable. a. 39/19K and 40/19Kb. 209Bi and 208Bic. nickel-58 and nickel-65 ''.
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two objects are initially the same height above the ground. simultaneously, one is released from rest and the other is shot fof horizontally with a n initial speed of 2.5 m/s. the two objects collide after falling 20m. how far apart were the object initially?
We may use the equations of motion to calculate the initial distance between the two objects in this issue. Let's call the starting height of the objects "h." Because the first item is at rest, its initial vertical velocity is 0.
When the second item is launched horizontally at a speed of 2.5 m/s, its initial vertical velocity is also 0. When the items crash after falling 20 meters, we may apply the following equation of motion: h = 1/2gt^2 where g denotes gravity's acceleration and t the time it takes for the objects to collide. The horizontal velocity of the second item may be used to calculate the time t: distance = time x speed 20m = 2.5m/s x t t = 8 seconds Now we can use the equation of motion again to find h: h = 1/2gt^2 = 1/2 x 9.81 m/s^2 x (8 s)^2 = 313.92 m Therefore, the initial distance between the objects was 313.92 meters.
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What is Momentum ?
Ty :))
Answer:
Momentum can be well defined as the measure of the kinetic energy of the object. In simple words, the momentum is the product of mass and velocity.
how was mugabe able to build power and what type of power base
is he
Mugabe gained power by using political strategies, forming alliances, and exploiting his status as a liberation hero within ZANU-PF.
Robert Mugabe, the former president of Zimbabwe, was able to build power through a combination of political strategies and alliances. One key factor was his involvement in the liberation struggle against white minority rule in Rhodesia (now Zimbabwe).
Mugabe emerged as a prominent figure within the Zimbabwe African National Union (ZANU) party, which later merged with the Zimbabwe African People's Union (ZAPU) to form the Zimbabwe African National Union - Patriotic Front (ZANU-PF). Mugabe's role as a liberation hero and his ability to mobilize support among the majority black population of Zimbabwe gave him a strong power base.
Within ZANU-PF, Mugabe strategically positioned himself and gained influence by forming alliances and outmaneuvering rivals. He rose to become the party's leader and played a key role in negotiating the Lancaster House Agreement in 1979, which paved the way for Zimbabwe's independence in 1980. Mugabe became the country's first prime minister and later transformed the position into an executive presidency, consolidating his authority.
Mugabe maintained power through various means, including controlling key institutions such as the military, intelligence agencies, and the ruling party. He also utilized patronage networks, distributing resources and positions to loyal supporters within the party and government. Mugabe's policies, such as the controversial land reform program, further solidified his power base by appealing to nationalist sentiments and redistributing land from white farmers to black Zimbabweans.
However, Mugabe's consolidation of power was also marked by authoritarianism, human rights abuses, and a declining economy. His grip on power faced challenges over the years, including opposition movements, internal party factions, and economic crises. Ultimately, his rule came to an end in 2017 when he was ousted from power following a military intervention.
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of energy, work, enthalpy, and heat, how many are state functions?
Of the four thermodynamic quantities listed, enthalpy is the only one that is a state function. A state function is a thermodynamic quantity that depends only on the initial and final states of a system, and not on the path taken to reach those states.
Enthalpy is a state function because it is defined as the sum of the internal energy of a system and the product of its pressure and volume, both of which are state functions.
Energy, work, and heat, on the other hand, are not state functions because they depend on the specific process or path taken to change the state of the system. The amount of work done or heat transferred depends on the specific conditions of the process, such as the pressure, temperature, and volume of the system, as well as the rate at which the work or heat is transferred. Therefore, these quantities are not solely dependent on the initial and final states of the system and cannot be considered state functions.
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A train crew was cleaning out a rail tanker that had been emptied of its contents. They rinsed the rail car out with scalding hot water through a port of the bottom of the rail car. When they were finished and had drained the water out they shut the valve of the port and went home for the day. During the night the temperature droppe d and it was very cold outside. When they came back to the work the next night something happens to the rail car!
Answer:
...............
.
......
How do dynamic study modules create unique learning experiences?.
Answer: Personalize each student's learning experience
Explanation: Dynamic Study Modules work by continuously assessing student performance and activity, then using data and analytics to provide personalized content in real-time to reinforce concepts that target each student's particular strengths and weaknesses.
i think?!
The dynamic learning module continuously evaluates student performance and activity, uses data and analysis to provide real-time personalized content, and enhances the concept of targeting specific strengths and weaknesses of each student. It works by doing.
What are the main features of the Dynamic Study Module?Dynamic Study Module (DSM) is an innovative way to teach students. Educators can create customized learning experiences that meet the unique needs of their students.
Editing the learning module means that the individual courses you complete will be integrated into larger modules such as basic, graduate, or graduate studies. You will receive the overall grades for the entire module. Other courses in your degree do not form a learning module.
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What is the disadvantage of the circuit pictured below
A._ The addition of more light bulbs decreases the flow of electricity through the circuit.
B._ The addition of more light bulbs decreases the voltage to each bulb.
C._ The addition of more light bulbs decreases the resistance in the circuit.
D._ The circuit only works when alternating current is used.
The circuit shown has the drawback that it can only operate with alternating current.
The correct answer is D
What exactly do you mean by "alternating current"?A type of electrical current known as alternating current (AC) alternates the flow of electrons periodically or in cycles between two directions. Alternating current (AC) is the kind of current that circulates through electrical outlets used in everyday homes and power lines.
How do AC & DC current differ from one another?Both alternating current (AC) and direct current (DC) are types of electric current (DC). The way that electrons move determines how AC and DC are different from one another. While the flow of electrons in AC is constantly changing, moving first ahead and then backward, as opposed to DC's steady movement in one direction
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A worker applies a horizontal force to the top edge of a crate to get it to tip forward. If the crate has a mass of 60 kg and is 1.6 m tall and 0.80 m in depth and width, what is the minimum force needed to make the crate start tipping?
The minimum force needed to make the crate start tipping is 294 N.
To find the minimum force required, we need to determine the point at which the torque created by the applied force overcomes the torque created by the crate's weight.
At the tipping point, the applied force acts at a distance equal to the height of the crate (1.6 m), and the weight of the crate acts at a distance of half the crate's depth (0.4 m).
The formula for torque is: torque = force × distance
At the tipping point, the torques balance each other, so:
applied_force × height = weight × (depth/2)
Let's calculate the crate's weight: weight = mass × gravitational_acceleration
weight = 60 kg × 9.8 m/s² = 588 N
Now, we can find the applied force:
applied_force × 1.6 m = 588 N × 0.4 m
applied_force = (588 N × 0.4 m) / 1.6 m
applied_force = 294 N
Summary: The minimum force required to make a 60 kg crate with dimensions 1.6 m x 0.8 m x 0.8 m start tipping is 294 N.
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Your supervisors at A&L Engineering have tasked you with evaluating the durability of three common materials used in the design of cell phone cases
A&L Engineering, as an engineer, you've been tasked with evaluating the durability of three common materials used in the design of cell phone cases.
These materials include:Carbon FiberPolycarbonateTPUExplanation:Carbon fiber is a lightweight, durable, and corrosion-resistant composite material. It is often used in the aerospace, automotive, and sporting goods industries.Polycarbonate is a thermoplastic polymer that is strong, shatter-resistant, and lightweight. It is often used in the production of CDs, DVDs, and eyeglass lenses.
TPU (thermoplastic polyurethane) is a flexible, soft material that is abrasion-resistant and provides excellent impact protection. It is often used in the production of phone cases, as well as sporting equipment and medical devices.To evaluate the durability of these materials, you can conduct a series of tests to measure their resistance to impacts, scratches, and bending.
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Some drops a ball off of the top of a 125-m-tall building. In this prob-lem, you will be solving for the time it takes the ball to hit the ground.(a)Define your coordinate system, be thorough.(b)Write down the given infor-mation, be sure to include hidden information.(c)State what physics principleis at play here. How do you know this?(d)Select an equation.(e)Solve forthe time it takes for the ball to hit the ground.
Answer:
t = 5.05 s
Explanation:
This is a kinetic problem.
a) to solve it we must fix a reference system, let's use a fixed system on the floor where the height is 0 m
b) in this system the equations of motion are
y = v₀ t + ½ g t²
where v₀ is the initial velocity that is v₀ = 0 and g is the acceleration of gravity that always points towards the center of the Earth
e) y = 0 + ½ g t²
t = √ (2y / g)
t = √(2 125 / 9.8)
t = 5.05 s
A student pulls on a rope attached to a flagpole to raise a flag. It requires a lot of effort for the student to raise the
How can a teacher help the student make raising the flag easier?
By adding grease to the wheel of the pulley
By decreasing the size of the pulley
By increasing the length of the rope
Answer:
A: By adding grease to the wheel of the pulley
Explanation:
We know that it is not B (By decreasing the size of the pulley) because it would just make it harder for the student to do that task, by increasing the amount of force needed to complete the task. And we know it is not C (By increasing the length of the rope) because that would just give more rope to use, and not affect the amount of force needed. This leaves option A as the answer.
Pls mark Brianliest with the crown.
What is the electric force between two charges? Charge one has a charge of 7 C and charge two has a charge of 5 C. The charges are 5,925 m apart. Round your answer to the fourth decimal place.
Answer:
See below
Explanation:
Coulomb's Law Force = k q1 q2 / r^2
k = Coulomb's constant = 8.9875517 x 10^9 kg m^3 /s^2 C^2
Force = 8.9875517 x 10^9 * 7 * 5 / (5925^2) = 8960.5102 N
Help ASAP!
Shakira of mass 40kg stands in soft mud in her garden. The sole of each of her shoes has an area of 0.0140 cm2. Determine the:
A. pressure created on the ground by each foot
B.total pressure created on the ground by her feet
Answer:
I hope the answer helps you
what is the name given to the rate of flow of electric charge
the answer should be and electric current
The rate of flow of electric charge is Electric Current.
What is Electric Current?
The flow of the electricity in a electrical circuit by calculating the amount of electricity flows in the circuit is known as Electric current. The Electric current can be referred by the symbol 'I'. The unit of electric current is Ampere (A).
Some of the characteristics of Electric current are:
If we get the higher or larger value in Ampere then we can confirm that the flow of electricity is more or large.The electricity produced is the flow of electrons.The work done that happened with the moving of electrons can be said to be electrical energy.The Electric current can be described by the formula as,
I = V/R ( Ampere)
I - Current (Unit is Ampere)
V- Voltage (Unit is volts)
R- Resistance. (Unit is ohm).
Thus, Electric current is the rate of flow of electric charge.
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A bowling ball collides with a pin and pushes the pin toward the right. Which describes the reaction force?
Answer:
the reaction force is to the left and of the same magnitude
Explanation:
To analyze this collision we see that when the bowling ball collides with the pin it exerts a force on it and by the law of action and reaction the pin exerts a force of equal magnitude and opposite direction on the ball.
Due to the high difference in mass, the speed and direction of the bowling ball is little altered, instead the speed and direction of the pin change significantly.
In summary the reaction force is to the left and of the same magnitude
If the amplitude of the oscillation of a weight suspended from a spring is doubled, the period will:_____.
If the amplitude of the oscillation of a weight that is suspended from a spring is doubled, the period will remain the same.
What is amplitude?Amplitude can be defined as the maximum x-position of a simple harmonic motion (SHM) and it is typically denoted with the symbol (A).
During a simple harmonic motion (SHM), the spring would begin to oscillate between x = +A and x = -A, and it is modeled by this equation:
x(t) = Acos(2πt/T) = Acos(2ωt)
where: A represents the amplitude of the motion, and T represents the period of the oscillation.
Based on the equation, we can infer and logically deduce that the period of the oscillation of a weight that is suspended from a spring would remain the same, even when the amplitude of the oscillation of a weight that is suspended from a spring is doubled.
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help? :(
A 9,300 kg. a railroad car traveling at a velocity of 15m/s strikes a second boxcar at rest. If the two cars stick together and move off with a velocity of 6m/s, what is the mass of the second car?
Answer:
m2 = 13950 [kg]
Explanation:
To solve this problem we must use the principle of conservation of linear momentum, which is defined as the product of mass by velocity, and can be determined by means of the following expression:
P = m*v
where:
P = lineal momentum [kg*m/s]
m = mass [kg]
v = velocity [m/s]
Now that momentum is conserved, we need to analyze the conditions before the collision and after the collision. In this way we must propose the following equation:
ΣPbefore = ΣPafter
(m1*v1) + (m2*v2) = (m1+m2)*v3
where:
m1 = mass of the railroad car = 9300 [kg]
v1 = velocity of the railroad car before the collision = 15 [m/s]
m2 = mass of the box car [kg]
v2 = velocity of the boxcar before the collision = 0 (the car is at rest)
(m1 + m2) = combined mass of the cars, they stick together after the collision [kg]
v3 = combined velocity of the cars after the collision = 6 [m/s]
(9300*15) + (m2*0) = (m1+m2)*6
139500 = (6*9300) + 6*m2
83700 = 6*m2
m2 = 13950 [kg]
The mass of the second railroad car which was initially at rest is 13950kg.
Given the data in the question;
Mass of railroad car1; \(m_1 = 9300kg\)Initial velocity of railroad car1; \(u_1 = 15m/s\)Mass of railroad car2; \(m_2 = \ ?\)
Since railroad car2 was initially at rest,
Initial velocity of railroad car1; \(u_2 = 0\)After the strike, the wo cars stick together and moved
Final velocity of both railroad car1 and 2; \(v = 6m/s\)To determine the mass of the second railroad car, we use conservation of linear momentum:
\(m_1u_1 + m_2u_2 = (m_1 + m_2 )v\)
We substitute our given values into the equation
\((9300kg * 15m/s) + ( m_2 * 0 ) = ( 9300kg + m_2 )6m/s\\\\9300kg * 15m/s = ( 9300kg + m_2 )6m/s\\\\139500kg.m/s = 55800kg.m/s + ( m_2 * 6m/s )\\\\139500kg.m/s - 55800kg.m/s = m_2 * 6m/s\\\\83700kg.m/s = m_2 * 6m/s\\\\m_2 = \frac{83700kg.m/s}{6m/s} \\\\m_2 = 13950kg\)
Therefore, the mass of the second railroad car which was initially at rest is 13950kg.
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tyson gay's best time to run 100.0 meters (m) was 9.69 seconds (s). what was his average speed during this run, in miles per hour (mph)? (3.281feet=1 meter)(1 mile=5280 feet)
Tyson Gay’s best time to run 100.0 meters (m) was 9.69 seconds (s), the average speed during this run, in miles per hour (mph), is 23.35 mph.
Given, Tyson Gay's best time to run 100.0 meters (m) was 9.69 seconds (s).1 meter is equivalent to 3.281 feet. Therefore, 100 meters is equivalent to 100 × 3.281 = 328.1 feet.
1 mile is equivalent to 5280 feet. Therefore, 1 foot is equivalent to 1/5280 mile.
So, 328.1 feet is equivalent to (328.1 ÷ 5280) miles.
Speed = Distance / Time
To convert seconds to hours, we need to divide by 3600 (60 seconds per minute × 60 minutes per hour).
Speed in miles per hour = (Distance in miles) / (Time in hours)
= (328.1 ÷ 5280) / (9.69 ÷ 3600) = 0.0621371 / 0.0026861 = 23.35 mph
Therefore, Tyson Gay's average speed during this run, in miles per hour (mph), is 23.35 mph.
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The table shows information about four students who are running around a track. Which statement is supported by the information in the chart?
Autumn has more kinetic energy than Chiang.
Mohammed has less kinetic energy than Autumn.
Lexy has more kinetic energy than Mohammed.
Chiang has less kinetic energy than Lexy.
Answer:
Correct option: Mohammed has less kinetic energy than Autumn.
Explanation:
Kinetic Energy
Is the energy an object has due to its motion. If the object has a mass m and travels at a speed v, then the kinetic energy K is:
\(\displaystyle K=\frac{1}{2}mv^2\)
The information about four students includes their mass and velocity as follows:
Autumn has a mass of m1=50 kg and a velocity (magnitude) of v1=4 m/s, thus their kinetic energy is:
\(\displaystyle K_1=\frac{1}{2}50\cdot 4^2\)
\(K_1=400\ J\)
Mohammed has a mass of m2=57 kg and a velocity (magnitude) of v2=3 m/s, thus their kinetic energy is:
\(\displaystyle K_2=\frac{1}{2}57\cdot 3^2\)
\(K_2=256.5\ J\)
Lexy has a mass of m3=53 kg and a velocity (magnitude) of v3=2 m/s, thus their kinetic energy is:
\(\displaystyle K_3=\frac{1}{2}53\cdot 2^2\)
\(K_3=106\ J\)
Chiang has a mass of m4=64 kg and a velocity (magnitude) of v4=5 m/s, thus their kinetic energy is:
\(\displaystyle K_4=\frac{1}{2}64\cdot 5^2\)
\(K_4=800\ J\)
Sorted from lower kinetic energy to higher:
Lexy, Mohammed, Autumn, Chiang. Thus:
Autumn has more kinetic energy than Chiang. False
Mohammed has less kinetic energy than Autumn. True
Lexy has more kinetic energy than Mohammed. False
Chiang has less kinetic energy than Lexy. False
Correct option: Mohammed has less kinetic energy than Autumn.
Answer:
its b
Explanation:
got in right on edge
A cat chases a mouse across a 0.57 m high
table. The mouse steps out of the way, and
the cat slides off the table and strikes the floor
2.8 m from the edge of the table.
The acceleration of gravity is 9.81 m/s².
What was the cat's speed when it slid off
the table?
Answer in units of m/s.
Answer:
3.37
Explanation:
Answer:
8.21 m/s
Explanation:
First we have to determine the time it took for the cat to hit the floor
We will have to assume that the cat's motion was entirely in the horizontal direction when it slid off the table. This is not an unreasonable assumption
Therefore when the cat slid off the table, its vertical velocity was 0
We will use the formula
\(h = ut + \dfrac{1}{2}at^2\)
to find the time taken for the cat to hit the floor from a height of 0.57 m
where
h = height of the table = 0.57m
u = initial vertical velocity = 0
a = acceleration = gravitational acceleration = g = 9.8 m/s²
Plugging in values we get
\(0.57 = 0\cdot t + \dfrac{1}{2}\cdot 9.8\cdot t^2\)
⇒ \(\rightarrow 0.57 = 4.9t^2\\\\\rightarrow t^2 = \dfrac{0.57}{4.9}\\\\\rightarrow t = \sqrt{0.1163265}\\\\\rightarrow t \approx 0.341067 \textrm{ s}\\\\\\\)
The horizontal distance traveled by the cat is 2.8m. The time it takes to travel this distance must be the same as the time it took the cat to hit the floor. There is no acceleration in the horizontal direction
So the velocity in the horizontal direction
= \(\rm \dfrac{distance}{time}$\)
\(= \dfrac{2.8}{0.341067}\)
≈ 8.209537 m/s ≈ 8.21 m/s
Two coils,X and Y, having self inductances of 80mH and 60mH respectively, are magnetically coupled. Coil X has
200 turns and coil Y has 100 turns. When a current of 4A is reversed in coil X the change of flux in coil Y is
5mWb. Determine (a) the mutual inductance between the coils, and (b) the coefficient of coupling
The mutual inductance between the coils is 6.25μH. the coefficient of coupling between the coils is approximately 0.447.
The mutual inductance between the coils can be determined using the formula:M = (Δφ_Y) / (N_X * ΔI_X)
Where M represents the mutual inductance, Δφ_Y is the change in flux in coil Y, N_X is the number of turns in coil X, and ΔI_X is the change in current in coil X.
Plugging in the values given, we have: M = (5mWb) / (200 * 4A)
M = 5mWb / 800A
M = 6.25μH. Therefore, the mutual inductance between the coils is 6.25μH.
(b) The coefficient of coupling (k) can be calculated using the formula:
k = M / √(L_X * L_Y)
Where k represents the coefficient of coupling, M is the mutual inductance, L_X is the self-inductance of coil X, and L_Y is the self-inductance of coil Y.
Substituting the given values: k = (6.25μH) / √((80mH) * (60mH))
k = 6.25μH / √(4.8mH^2)
k ≈ 0.447. Therefore, the coefficient of coupling between the coils is approximately 0.447.
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One atom contains 29 protons and 34 neutrons. Another atom of the same element has a mass number of 65. How many protons and neutrons does this unknown atom have?.