Ballerinas take advantage of conservation of momentum to turn by pulling in their arms and legs to decrease their moment of inertia, which causes an increase in their angular velocity.
Ballerinas are skilled at turning rapidly and continuously on the spot. They use the law of conservation of momentum to maintain their balance while they are spinning. Ballerinas turn in the same way as ice skaters; they decrease their moment of inertia by pulling their arms and legs inward, causing their angular velocity to increase and their momentum to remain constant. When a ballerina pulls in her arms and legs, she decreases her moment of inertia; this reduces the amount of effort required to turn and increases the speed at which she spins. When the ballerina extends her arms and legs, her moment of inertia increases, causing her to slow down. The ballerina must maintain a constant momentum to keep spinning. Therefore, by changing the distribution of her mass, the ballerina can alter her moment of inertia, which helps her turn on the spot.
Ballerinas use the law of conservation of momentum to their advantage to keep their balance while turning. They decrease their moment of inertia by pulling in their arms and legs, which causes their angular velocity to increase, making it easier for them to turn. By changing the distribution of their mass, ballerinas can alter their moment of inertia, allowing them to turn on the spot while maintaining a constant momentum.
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Highway safety engineers want to design roadside barriers that will crumple in the event that a car drives off the road and collides with them, slowing down the car more gradually. The average person has a mass of 68 kg and travels on a highway at a velocity of 27 m/s. If the engineers know that the maximum force that a person can safely withstand is 1180 N, approximately how much time is required to crumple the barrier to safely slow the person with this force?
It would take 1.556 seconds for the barrier to crumple and safely slow down the person with a force of 1180 N.
To calculate the time required to crumple the barrier and safely slow down the person, we can use the concept of impulse.
The impulse, denoted by J, is defined as the product of force and time, and it represents the change in momentum of an object. In this case, the impulse required to safely slow down the person can be calculated using the maximum force and the person's initial momentum.
The momentum of a person is given by the product of their mass and velocity:
Momentum = mass × velocity
Given that the person's mass is 68 kg and their velocity is 27 m/s, the initial momentum is:
Initial momentum = 68 kg × 27 m/s
To safely slow down the person, the impulse provided by the barrier should be equal to the change in momentum.
Therefore, we have:
Impulse provided by barrier = Final momentum - Initial momentum
Since the person is brought to rest, the final momentum is zero. Thus, we have:
Impulse provided by barrier = -Initial momentum
Now we can express the impulse in terms of force and time:
Impulse provided by barrier = Force × Time
Plugging in the known values, we can solve for time:
-Initial momentum = Force × Time
68 kg × 27 m/s = 1180 N × Time
Simplifying the equation, we find:
Time = (68 kg × 27 m/s) / 1180 N
Evaluating the expression:
Time = 1836 kg·m/s / 1180 N
Finally, converting kg·m/s to seconds, we get:
Time ≈ 1.5559 seconds
Therefore, it would take approximately 1.556 seconds for the barrier to crumple and safely slow down the person with a force of 1180 N.
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Consider a rectangular block of mass 300g has a lergth of 6cm , a wigth of 3cm and a bridth of 1cm. Compute the pressure acting on each face
The pressure acting on the top and bottom faces is\(0.1635 N/cm^2\), the pressure acting on the side faces is\(0.4905 N/cm^2,\) and the pressure acting on the front and back faces is \(0.981 N/cm^2.\)
To compute the pressure acting on each face of the rectangular block, we need to know the weight of the block and the area of each face.
The weight of the block can be calculated as follows:
Weight = Mass x Gravity
Weight = 0.3 kg x 9.81 \(m/s^2\)
Weight = 2.943 N
The area of each face can be calculated as follows:
Top and bottom face: length x width = 6 cm x 3 cm = 18 \(cm^2\)
Side faces: length x height = 6 cm x 1 cm = 6 \(cm^2\)
Front and back faces: width x height = 3 cm x 1 cm = 3\(cm^2\)
Now we can calculate the pressure acting on each face:
Top and bottom face: Pressure = Weight / Area = 2.943 N / \(18 cm^2\) = \(0.1635 N/cm^2\)
Side faces: Pressure = Weight / Area = 2.943 N / \(6 cm^2\) = 0.4905 \(N/cm^2\)
Front and back faces: Pressure = Weight / Area = 2.943 N / 3 cm^2 = 0.981 N/cm^2
Therefore, the pressure acting on the top and bottom faces is\(0.1635 N/cm^2\), the pressure acting on the side faces is\(0.4905 N/cm^2,\) and the pressure acting on the front and back faces is \(0.981 N/cm^2.\)
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GIVING BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 25pts-
Answer:
it's A and C I belive so when I looked it up
Answer: energy cannot be destroyed!
Explanation: It can't be destroyed since it can change from on form to another, but it can be increased or decreased.
Find the energy in electron volts for a particle with this wavelength if the particle is a photon.Express your answer in electron volts.
To find the energy of a photon with a given wavelength, you can use the equation E = hc/λ, where E is the energy, h is Planck's constant, c is the speed of light, and λ is the wavelength.
Without knowing the specific wavelength provided in the question, it's not possible to calculate the energy in electron volts. However, as an example, let's assume the wavelength provided is 500 nm (nanometers). Using the equation E = hc /λ, we can calculate the energy as:
E = (6.626 x 10^-34 J s) x (2.998 x 10^8 m/s) / (500 x 10^-9 m)
E = 3.97 x 10^-19 J . To convert this energy to electron volts, we can use the conversion factor 1 eV = 1.602 x 10^-19 J:
E = (3.97 x 10^-19 J) / (1.602 x 10^-19 J/eV)
E = 2.48 eV
Therefore, a photon with a wavelength of 500 nm has an energy of 2.48 electron volts.
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¿Qué función trigonométrica describe la manera como el voltaje y la corriente varían con el tiempo en un circuito CA?
Answer:
función sinusoidal
Explanation:
En un circuito de CA, la corriente y el voltaje tienen un voltaje máximo y mínimo. A intervalos regulares, la corriente y el voltaje invierten la dirección y cambian su magnitud continuamente con el tiempo.
Por lo tanto, para representar la corriente y el voltaje en un circuito de CA, se utiliza una función sinusoidal. Una función seno es una función continua con oscilaciones periódicas.
Is the normal force equivalent to the weight of an object?
Answer:
No.
Explanation:
If there are no applied forces, normal force is usually equivalent to the weight of the object but if there are outside force (force that makes the object to move) especially if it's inclined, then the inclined force would then affect the normal force.
answer them all please!!
Answer:
Digestive = large instestine
respiratory = lungs
circulatory red blood cell
neurons=nerves
Explanation:
The tendency to have more confidence in judgment and decisions than one should, based on probability or past experience is __________.
A.
belief bias
B.
overconfidence
C.
confirmation bias
D.
the availability heuristic
Answer:
Its B- overconfidence
Explanation:
The tendency to have more confidence in judgment and decisions than one should is called Overconfidence
What is overconfidence?
Overconfidence is a bias in which a person's subjective confidence is his or her judgement is reliably greater then the objective accuracy of those judgments when confidence is relatively high
Hence, The tendency to have more confidence in judgment and decisions than one should is called Overconfidence
correct answer : option B)Overconfidence
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The time between the lightning and thunder is increasing. What is happening to the storm?
The thunder and lightning happen at the same time but sound waves move more slowly than light waves. So if it takes longer for the sound to reach you, therefore the storm is farther away.
What are sound waves?A sound wave is described as the pattern of disturbance caused by the movement of energy traveling through a medium such as air, water or any other liquid or solid matter as it propagates away from the source of the sound.
Sound waves are divided into three categories and they :
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Which statement best compares a scientific theory and an opinion?
O A. Neither an opinion nor a scientific theory can ever be changed.
O B. An opinion is supported by evidence, while a scientific theory often is not supported by evidence.
OC. A scientific theory is supported by evidence, while an opinion often is not supported by evidence.
OD A scientific theory can never be changed, while an opinion can change in many ways.
Im
Answer: c opinion is something ppl just suggest but a theory needs proof before it is confirmed
Recalling the interactions between like and unlike charged objects that you observed with the tape in the previous activity, do these new observations add support to hypothesis 1? explain.
New observations support Hypothesis 1, as interactions between like and unlike charges follow expected attractive and repulsive behaviors.
Based on the observed interactions between like and unlike charged objects, it appears that the new observations do indeed add support to Hypothesis 1.
When like charges (similarly charged objects) come into proximity with one another, they exhibit repulsive behavior, causing them to move away from each other.
Conversely, when unlike charges (oppositely charged objects) come into contact, they display attractive behavior and move towards one another.
These observed phenomena align with our understanding of the behavior of charged objects and reinforce the validity of Hypothesis 1.
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pls help the image is down below
Answer:3 go to 2 and 4 go to 4 and 1 go 2 2 go to 1
Explanation:
when are Waves produced
Answer:
Waves are caused by wind, or are created by the friction between wind and surface water
Explanation:
How to convert 98.9 f to c?
98.9°F is equivalent to 37.17°C temperature. Using Formula: °C = (°F - 32) x 5/9
To convert 98.9°F to Celsius (°C), you can use the following formula:
°C = (°F - 32) x 5/9
Substituting 98.9 for °F in the formula, we get:
°C = (98.9 - 32) x 5/9 = 37.17
Therefore, 98.9°F is equivalent to 37.17°C.
It's important to note that when converting Fahrenheit to Celsius, the resulting Celsius temperature is often more precise with decimal places. In this case, the Celsius temperature is 37.17°C, which means that the temperature is between 37°C and 38°C.
To double-check your conversion, you can also use online temperature conversion tools or smartphone apps that are readily available and accurate.
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In the first activity, Vehicle 2 has a greater acceleration than Vehicle 1, but has a less forceful engine. How can this be? Explain in terms of your equation.
Answer:
This can be explained by the equation Force=Mass x Acceleration. Vehicle 2 has a higher acceleration than Vehicle 1, which means it accelerates quicker. However, this increased acceleration is achieved by a less forceful engine. This is possible because Vehicle 2 has a lower mass than Vehicle 1, meaning the same force applied to Vehicle 2 results in greater acceleration. Therefore, Vehicle 2 has a greater acceleration than Vehicle 1 but has a less forceful engine.
A 100-turn square wire coil of area 0. 040 m2 rotates about a vertical axis at 1500
rev/min. The horizontal component of the Earth’s
magnetic field at the location of the loop is 2. 0 x 10-5 T. Calculate the maximum
emf induced in the coil by the Earth’s field
The maximum emf induced in the coil by the Earth’s field when the coil takes 100 turns is 0.0124 v.
number of turns N = 100
area A = 0.040 m²
angular velocity ω = 1480 rev/min=1480 (2π/60 )rad/s = 154.98 rad /s
magnetic field B = 2 ×10⁻⁵T
the maximum emf induced in the coil by the Earth's field
ε = NBAω
ε = ( 100 ) (2 × 10⁻⁵) (0.040 ) (154.98 )
= 0.0124V
What causes an incited emf?Changes in magnetic flux are the most fundamental cause of an induced EMF. putting a moving current-carrying coil in a magnetic field that is both static and stable. This will cause an adjustment of the area vector and thus, EMF will be created.
What does emf mean?an area where electromagnetic radiation produces electric and magnetic forces. EMFs from power lines, electrical appliances, wireless and cellular telephones, and other sources are being investigated for their potential to cause cancer or other adverse health effects. Additionally called electromagnetic field.
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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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Which of the following media can best withstand harsh environmental conditions?a. shielded twisted pairb. unshielded twisted pairc. Cat 5 twisted paird. coaxial cablee. fiber optic cable
Fiber optic cable is the best medium that can withstand harsh environmental conditions due to its physical properties. Fiber optic cable is made of glass or plastic fibers that are designed to transmit light signals over long distances at high speeds.
Unlike other types of cable, fiber optic cable is immune to electromagnetic interference and can operate effectively in harsh environments such as extreme temperatures, moisture, and corrosive environments. The cable's protective sheath provides additional protection against physical damage from impact, bending, or compression. Additionally, fiber optic cable is immune to electrical noise, which can disrupt the signal transmission of other cable types. Due to its resilience and reliability, fiber optic cable is the preferred medium for long-distance and high-bandwidth data transmissions in industries such as telecommunications, aerospace, and military applications.
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URGENT!!!
Calculate the frequency of violet light if the wavelength in air is 430nm.
* speed.of violet light in the prism = 2×10^8 m/s
* 1nm = 10^-9
* velocity of light in air = 3×10^8 m/s
Answer:
\(f=6.97\times 10^{14}\ Hz\)
Explanation:
Given that,
Wavelength, \(\lambda=430\ nm=430\times 10^{-9}\ m\)
We need to find the frequency of the violet light.
We know that the relation between frequency and wavelength is given by :
\(f=\dfrac{c}{\lambda}\\\\f=\dfrac{3\times 10^8}{430\times 10^{-9}}\\\\f=6.97\times 10^{14}\ Hz\)
So, the frequency of violet light is \(6.97\times 10^{14}\ Hz\).
If you wanted to learn more about ancient scientific knowledge, whose life
would you research?
If the radius of Earth were one half what it is now, and the mass were the same, what would be the value of g?
Answer:
4 times what it is now.
Explanation:
g=G(M/r^2)
G is constant, so ignore.
We have (1M/0.5r^2), or 4.
Answer:
4g
Explanation:
the equation of g (field gravity)
g = G M/R²
because G (Contant of Gravitasion) and M (Mass of earth) same, them
g2/g1 = R1²/R2²
g1 = g now
g2 = g which the value we looking for
g2/g = 1/(1/2)²
g2/g = 1/(1/4)
g2/g = 4
g2 = 4g
explain Newtons Laws
1) Newton first law of motion: state“If a body is at rest it reamain at rest and if it is in a motion it continu its motion unless a net external force acting on it”
This law also called law of inertia
2) Newton second law of motion: states that ‟acceleration to the force acting on the body and inversky proportional to the mass of the body”
3) Newton's third law of motion: It is not possible to exert a force abody with out the body exerting a forces in the opposite direction.
These forces are called action and reaction forces
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THANK YOU.
One Newton is equivalent to
A. 1 kg/s2
B. 1 kg*m/s
C. 1 kg*m/s2
D. 1 kg/s
Answer:
B
Explanation:
how does changing the direction of the applied force change the amount of the force that is doing work?
The component of the force acting in the direction of an object's motion determines how much force is doing work on that object. The "parallel component" of the force is referred to as this.
Applied forceA force that is applied perpendicular to an object's motion has no effect since it does not add to the object's kinetic energy.
It follows that the force exerted on the item will increase if the applied force's direction is adjusted to make it more parallel to the direction of motion.
The amount of force accomplishing work will decrease, on the other hand, if the direction of the applied force becomes increasingly perpendicular to the direction of motion.
Take the movement of a box across a rough surface as an illustration.
Only a fraction of the force will be parallel to the surface of the force delivered at a 45-degree angle to the surface, contributing to the motion of the box.
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Researchers have found that the larvae of all North American firefly species glow as a warning sign to ward off predators. However, the presence and use of lighting organs in adult fireflies vary greatly. Some species use glowing or light flashes as mating signals, while other species produce pheromones as mating signals and do not glow at all. Discuss how the physical characteristics and mating behavior of North American fireflies support the theory of speciation. In your discussion, provide a hypothesis to explain the driving force behind the differences in mating signals among the species.
Explanation:
The theory of speciation confirms what happens with fireflies, only fireflies that are part of the same species can reproduce among themselves, which means that fireflies that use pheromones as mating signals will attract fireflies that use that same form or mechanism of reproduction.
Some mechanisms that allow this type of differentiation or speciation to occur are: seasonal or geographic isolation and sexual isolation due to behavior or conduct.
Speciation allows the formation of new populations of organisms that share the same physiological and genetic characteristics. Therefore, the adult fireflies that shine as a mating signal are possibly found in the same geographical position and their physiological and genetic characteristics are compatible with those of his own species.
Solve for resistance. I do not get it. Pls help
Answer: I think a
Explanation:
In fission reactors one deals with neutrons having kinetic energies as high as10 MeV. How much error is incurred in computing the speed of 10-MeV neu-trons by using the classical expression rather than the relativistic expressionfor kinetic energy
For 10-MeV neutrons, the difference in speeds between classical and relativistic kinematics is not large, but the relativistic kinetic energy must be used in order to be accurate.
Reactors are designed to sustain and control nuclear chain reactions for generating power, and in fission reactions, neutrons with energies up to 10 MeV are produced. These fast neutrons are used to initiate fission in the nuclei of fissionable materials. In order to calculate the velocity of neutrons, one must use the correct expression for kinetic energy.The classical kinetic energy expression, $KE=\frac{1}{2}mv^2$, is not valid for neutrons travelling at relativistic speeds. The relativistic energy expression for a particle with mass m and velocity v is $E=(mc^2)\sqrt{1-\frac{v^2}{c^2}}$, where c is the speed of light.In the case of 10-MeV neutrons, the difference in speeds between classical and relativistic kinematics is not large, but the relativistic kinetic energy must be used in order to be accurate.
Using the classical expression for kinetic energy would result in an error of less than 1%, but it is still important to use the correct expression when calculating the velocity of high-energy particles.
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A nickel atom has an atomic number of 28 and an atomic mass of 59. What
is the structure of this atom?
A. It has a central nucleus composed of 28 protons and 31 neutrons,
surrounded by an electron cloud containing 28 electrons.
B. It has a central nucleus composed of 28 protons and 28 neutrons,
surrounded by an electron cloud containing 31 electrons.
C. It has a central nucleus composed of 31 protons and 28 neutrons,
surrounded by an electron cloud containing 28 electrons.
D. It has a central nucleus composed of 28 protons and 59 neutrons,
surrounded by an electron cloud containing 28 electrons.
A nickel atom has an atomic number of 28 and an atomic mass of 59. It has a central nucleus composed of 28 protons and 31 neutrons, surrounded by an electron cloud containing 28 electrons.
What is an atom?The atom consists of matter that may be split without releasing electrical charges.
It's also the smallest unit of matter with chemical element features. As a result, the atom is the fundamental unit of science.
In the nucleus, proton and the neutron is existing. The condition of the atom to be electrically neutral is that the number of the proton and electron should be the same.
A nickel atom has an atomic number of 28 and an atomic mass of 59. In the nucleus, proton and the neutron is existing,the atom is the fundamental part of the particle.
In that, condition, It has a central nucleus composed of 28 protons and 31 neutrons, surrounded by an electron cloud containing 28 electrons.
Hence, option A is correct.
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A solenoid of 100 turns has a length of 50.0 cm and a cross-sectional area of 0.385m^2. a) Find the self-inductance of the solenoid. b) Suppose the current in the solenoid increases according to the following formula. I(t)=(5.00A)e^t/2.00s
Find the induced emf in the solenoid when t=20.0 s.
Length of the solenoid, l = 50.0 cm = 0.50 mA = 0.385 m²µ₀ = 4π x 10⁻⁷ H/m. L = (µ₀N²A)/lL = [4π x 10⁻⁷ H/m × (100)² × 0.385 m²]/0.50 mL = 7.87 x 10⁻⁴ H. The induced emf in the solenoid when t=20.0 s is -4.13 V
a) Find the self-inductance of the solenoid.
A solenoid is a type of electromagnet, the wire coiled up such that it produces a magnetic field when electric current passes through it.
The self-inductance of the solenoid can be given by the formula:
L= (µ₀N²A)/
lwhere µ₀ is the permeability of free space
N is the number of turns of the solenoid
l is the length of the solenoid
A is the cross-sectional area of the solenoid
Given that, Number of turns, N = 100
Length of the solenoid, l = 50.0 cm = 0.50 mA = 0.385 m²µ₀ = 4π x 10⁻⁷ H/m. L = (µ₀N²A)/lL = [4π x 10⁻⁷ H/m × (100)² × 0.385 m²]/0.50 mL = 7.87 x 10⁻⁴ H.
b) Find the induced emf in the solenoid when t = 20.0 s.
The induced emf (ε) can be calculated by the formula;
ε = -L dI/dt
where L is the self-inductance of the solenoid and dI/dt is the time rate of change of the current given by;
I(t)=(5.00A)e^t/2.00s
Differentiating I(t) with respect to t gives; dI/dt = 5e^t/2 V/s (Volts per second)Given that L = 7.87 x 10⁻⁴ HWhen t = 20.0s; ε = - L dI/dt = -7.87 × 10⁻⁴ H × (5e^20/2) = -4.13 V
Therefore, the induced emf in the solenoid when t=20.0 s is -4.13 V.
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Sometimes, a crackling sound is heard while taking off a sweater during winters. Explain
Answer:
it is somewhat frozen
Explanation: