A figure skater rotating at 5.00 rad/s with arms extended has a moment of inertia of 2.25 kg•m2. if the arms are pulled in so the moment of inertia decreases to 1.80 kg•m2, what is the final angular speed?
A) 2.25 rad/s
B) 6.25 rad /s
C) 0.81 rad/s
D) 4.60 rad/s

Gravitational potential energy of block is 58.8  joules.

It is the potential energy which a massive object has in relation to another object due to gravitational force.It is the potential energy associated with gravitational field which releases when objects fall towards each other.It increases when two objects are brought far apart.

It is calculated by the formula,

PE=mgh

where m=masses of particle

R= distance between 2 objects

G= gravitational constant

In the given problem,formula PE=mgh  is used.

mass=2 kg

g=9.8m/s²

h= 3 m

Substituting values in equation

PE=2×9.8×3=58.8 J  

It is  the energy which is stored in the object due to its height above the ground.It depends on mass and height of body.

to refer more about Gravitational energy visit:

https://brainly.com/question/3910603

#SPJ4

The   1200-kg race car can go from rest to 65 mi/h in 2.0 seconds. average power (in horse powers) is required to do this is 169.9 horse power.

the kinetic energy is give below :

K.E = 1/2 mv²

where ,

m = mass = 1200 kg

v = velocity = 65

K.E = (1/2 ) × 1200 ( 65)²

K.E = 2535000 J

The power required for the car is :

P  = K. E/t

     =  2535000 J/ 2 s

      = 1267500 W

1267500 W to horse power is given as :

1267500 W = 169.9 Horse power

Thus,  average power (in horse powers) is required  169.9 Horse power.

To learn more about average power here

https://brainly.com/question/29266315

#SPJ4

Tension must a rope withstand is 2.182kN

Tension is described stress transmitted axially by a cord, rope, chain, or similar object, or through the ends of a rod, truss, or similar three-dimensional object. Stresses can also be described as pairs of acting and reaction forces acting at each end of the element. Tension may be the opposite of compression. At the atomic level, a restoring force can create what is called stress when atoms or molecules are pulled apart and gain potential energy while the restoring force is still present. An end of a cord or rod under such tension can pull on the object to which it is attached to return the cord or rod to its relaxed length.

Solution:

Assuming only tension and gravity act on the car,

T+mg=ma

T=m(g+a)

=3074*(9.81 - 9.1) N

=2.182 kN which is the tension the rope must withstand.

Learn more about tension here:

https://brainly.com/question/24994188

#SPJ4

The average vector force the ball exerts on the bat during their interaction is 5151N.

Solution:

v = 57m/s

(v-u) = 55m/s -44m/s

(v-u)| = √(57m/s)² + (-44m/s)² = 71.06m/s V

dP = m (v-u) = 10.3kgm/s

F = dP/ dt = 5151N.

Average force is a vector quantity that has both magnitude and direction. During a certain time interval t, the force is expressed as a pulse change frequency. It is difficult to calculate the rate of change when the time interval is small. This is where the term average force comes into play.

The average force is equal to the mass of an object multiplied by the object's average velocity over a defined period of time. Average force is a force that is not constant but varies over time. There are nearly constant values ​​for calculating other relevant aspects. Net force, on the other hand, refers to the total force exerted on an object.

Learn more about  Average force here:- https://brainly.com/question/29646113

#SPJ4

The maximum power that the siren can put out is 4.921 x 10^8 Watts.

The maximum power that the siren can put out will depend on the sound pressure level (SPL) at a distance of 177 m from the siren. The SPL is determined by the inverse square law, which states that the intensity of a sound wave decreases in proportion to the square of the distance from the source.

Therefore, the SPL at a distance of 177 m from the siren can be calculated using the following equation:

SPL = SPL_0 - 20 log (177/1)

where SPL_0 is the initial SPL at a distance of 1 m from the siren.

Assuming that the SPL at 1 m from the siren is 130 dB, then the SPL at 177 m from the siren is:

SPL = 130 - 20 log (177/1) = 121 dB

Since the safety regulations require that the SPL does not exceed 121 dB at a distance of 177 m from the siren, the maximum power that the siren can put out is the power required to generate a SPL of 121 dB at a distance of 177 m.

The power required can be calculated using the following equation:

Power = 10^(SPL/10) * (4 * pi * (177 ^2))

where pi = 3.14

Therefore, the maximum power that the siren can put out is:

Power = 10^(121/10) * (4 * 3.14 * (177 ^2)) = 4.921 x 10^8 Watts

For more questions like Power click the link below: https://brainly.com/question/15412725

#SPJ4

The frequency of the dripping of a leaky faucet which drips 40 times in 30s is 1.3 Hz.

What is frequency?

Frequency is the number of occurrences of a repeating event per unit time. For clarity, this is also called temporal frequency, which is different from angular frequency. Frequency is measured in hertz (Hz) and corresponds to one event per second. Duration is the reciprocal of frequency because duration is the time interval between events.

For example, if his heart beats 120 times per minute (2 hertz), then the period T (interval between repeated beats) is 0.5 seconds (60 seconds divided by 120 beats). Frequency is an important parameter used in science and technology to describe the speed of vibrations and vibrational phenomena such as mechanical vibrations, audio signals (sound), radio waves, and light.

Therefore,  The frequency of the dripping of a leaky faucet which drips 40 times in 30s is 1.3 Hz.

To know more about frequency, visit:

https://brainly.com/question/254161

#SPJ4

13) Skinner was known for training animals in operant conditioning is False 14) Media violence and aggressive video games decrease viewers' level of emotional arousal is True, 15) The child shows discrimination towards the hot stove is False.

B. F. Skinner did use animals especially rats in his experiments but he was not interested in training them. He was interested in analysing behaviour and said that behaviour that is followed by pleasant consequences will likely be repeated and behaviour followed by unpleasant consequences is less likely to be repeated. This was called Law of Effect-Reinforcement by him i.e., the behaviour which is reinforced tends to be repeated and the behaviour which is not reinforced tends to die out. Watching violence through media or video games will arouse aggressive thoughts of person but are likely to decrease emotional empathy of the viewers for victims. Arousal of agressive thoughts need not necessarily be normal emotional arousal. This is actually called higher order conditioning. In this situation, a previously neutral stimulus becomes a conditioned stimulus after being compared repeatedly with a learned stimulus. On the other hand, discrimination is a tendency of an individual to differentiate between a conditioned stimulus and a similar stimulus, that won't result in unconditioned stimulus.

Learn more about discrimination here:

https://brainly.com/question/29801080

#SPJ4

when light reflects on a smooth surface it undergoes no change in Speed, Wavelength and Frequency.

An electromagnetic wave called a light wave can go through the vacuum of space. Electric charges vibrate and create light waves. A transverse wave with both an electric and a magnetic component is known as an electromagnetic wave.

There is a huge variety of frequencies for electromagnetic waves. The electromagnetic spectrum is a continuous range of frequencies. White is the color that is seen when the entire visible light spectrum is received by your eye at once. Thus, visible light is sometimes referred to as white light. Technically speaking, white is not a color at all, but rather the combination of all the colors of the visible light spectrum

To know more about light wave visit:

brainly.com/question/75996

#SPJ4

The mass and size of the moon also affect its gravitational pull. The moon won't draw things toward itself with the same force as the Earth because it has a lot less gravity than the latter.

The fact that spacetime actually bends and curves due to the mass of all objects, including our Earth, is what enables gravity to draw you toward the ground. That curvature is what you perceive as gravity. The magnitude of gravity's influence increases with the number of masses (also called the gravity force).

According to Newton's law, the strength of gravity or between two materials is determined by their mass and distance from one another. Greater gravitational attraction exists between heavier things.

To know more about Gravitational pull visit:

https://brainly.com/question/13467280

#SPJ4

Alpha waves signify deep sleep.

Alpha waves are brain waves that are associated with relaxed alertness. They have a frequency of 8-13 Hz, which makes them the slowest of the frequency bands. They are most commonly seen in awake adults who are in a relaxed, awake state of consciousness. Alpha waves are associated with creativity, concentration, and relaxation.

Alpha waves are the most common type of brain wave, and they are associated with a relaxed, wakeful state of mind. Alpha waves are generally present during light meditation and relaxation and signify a state of relaxation and alertness. When alpha waves are present, the brain is in a state of deep relaxation, and this is when the body is able to repair itself and restore itself.

Find More: https://brainly.com/question/28779294?referrer=searchResults

#SPJ4

Moment of inertia is defined as the tendency of an object to remain in a state of rest or of a constant rotational velocity.

The definition of moment of inertia allows to find the results for the moment of inertia with respect to each axis are:

1-Iₓ = m r²

2-Iy=9m r²

3-Iz=10m r².

The moment of inertia is a scalar quantity is obtained by the expression.

Sol-

I =∫ r² dm

Where I is the moment of inertia, m the mass of the body and r the distance from the axis of rotation.

In the case of point particles, the expression reduces to

   I = m r²

In this case we calculate with respect to each coordinate axis.

a) With respect to the x axis the distance is x = r, the moment of inertia is      Iₓ = m r²

with respect to the y-axis, indicate that the distance is y = 3 r.

We calculate

I_y = m (3r) ²

I_y = 9 m r²

c) Regarding the z-axis.

We look for the distance.

z =√x^2+y^2

z = √ 1^2+3^2

We calculate the moment of inertia  Iz = m (10r²)

 Iz = 10 m r²

In conclusion using the definition of moment of inertia we can look for the results of the moment of inertia for each axis are:

a) Iₓ = m r²

b) I_y = 9 m r²

c) I_z = 10 m r²

To learn more about inertia refer to:

https://brainly.com/question/3406242

#SPJ4

The answer is "true" that if a particle is having zero momentum then it must also have zero kinetic energy.

Kinetic energy is the term used in physics to describe the force that a moving item has. It is described as the amount of effort necessary to accelerate anybody with a particular mass from rest to a given velocity. Except variations in speed, the body retains the kinetic energy it gains during acceleration.

The body uses exactly the same amount of energy when slowing down from its current rate to a state of rest. Formally, kinetic energy refers to any term in a system's Lagrangian that has a derivative with respect to time.

If the system has zero momentum it means that it has zero velocity because momentum is the combination of mass and velocity and when the velocity is zero the kinetic energy of the particle is also zero.

To know more about Kinetic energy:

https://brainly.com/question/26472013

#SPJ12

To distinguish the individual holes, the minimum distance between the person and the tile is 29.8mm ≈30 mm.

Wavelength can be defined as the distances between 2 successively Crest or the  throughs of any wave.

According to Rayleigh's criterion, the angular separation between two point sources is given as follows.

8 = 1.22A d

Here, λ = wave length,

d =circular aperture diameter.

Since the regular separatione is very small, the value of sine is nearby equal to e=㏑

Where D is the center-to-center distance between two point lights and L is the distance from the screen to the light source.

Substitute for e in the above equation 1.22A

8 =d

To obtain the expression for L as

D /L= 1.22A /d

Rearrange the mentioned equation for L as follows:

L = Dd d1.22A

Substitute 0.005m for D, 0.004m for d, and

550 × 10⁻⁹m for λ in the above equation

L = (Dd)/(1.22lambda) to obtain the values of L as follows:

L = ((0.005m)(0.004m))/(1.22(550 × 10 ⁻⁹ m))

L =29.8mm

Thus, the distance between  the person from the tile distinguishes the individual holes.

(Rounding off to two significant figures) is 30 m.

To know more about wavelength  click-

https://brainly.com/question/10728818

#SPJ1

The thrust for each of four engines is3.42 m/s^2.

Calculation:

F = 4 *  5999N = 23,996 N.

  F = ma =23,996 ,

6999*a = 23,996 ,

 a =23,996 / 6999 = 3.42 m/s^2.

Acceleration (a) is defined as the product of the change in velocity (v) and the change in time (t) in the equation a = v/t (t). You can use this to get the change in velocity in m/s2 (meters per second squared).

The rate at which velocity changes is known as average acceleration: Where an is the average acceleration, v is the velocity, and t is the time, we have -a=vt=vfv0tft0. (Average acceleration is indicated by the bar ).

To know more about acceleration visit:-

https://brainly.com/question/12550364

#SPJ4

The angular frequency of the glider that takes 0.30 s to travel the distance of 12 cm from one turning point to another is 20.93 rad/s.

The angular frequency is the magnitude of the angle of the sector of the circle formed by the trajectory of the point that moves in a circle per unit time. Briefly, angular speed is the angular speed accompanied by the direction. The unit of angular speed is rad/second or rad/minute or rad/hour, depending on what is known from each problem.

The equation for determining the angular speed or angular frequency is:

ω= 2[tex]\pi[/tex]/T or ω = 2[tex]\pi[/tex]f

Where f = 1/T

ω = angular speed or frequency (rad/second)

[tex]\pi[/tex] = 3.14

f = frequency (rev/second)

T = period (second)

We have,

T = 0.30 s

So, ω = 2[tex]\pi[/tex]/T

= 2 (3.14) / 0.30

= 20.93 rad/s

Learn more about angular speed or frequency here: https://brainly.com/question/6860269

#SPJ4

The value of (vpvn) depends on the open loop voltage gain of an ideal op amp. The difference in voltage that appears across the op amp's inverting and non-inverting terminals is limited to 0 V by the infinite open loop voltage gain of an ideal op amp. Therefore, vpvn=0 V has the value it does.

What does the op-amp voltage equation mean?

vd = VO/A is a formula that is created by dividing the output voltage by the op-amp gain. For instance, an op-amp with a gain of 100000 needs a differential input voltage of at least 50 volts in order to output 5 volts.

What is the op-amp equivalent circuit?

Figure 2 depicts the analogous circuit model of an op-amp. The differential input voltage, Vi = Vp Vn, determines the voltage. The device's input resistance (Ri) and output resistance (Ro) are one and the same. The open loop gain is the name given to gain parameter A.

To know more about op-amp visit;

https://brainly.com/question/29508163

#SPJ4

(b) the photon because photons always travel through space faster than electrons. It depends on the relative mass of the electron and photon. In Bohr's model of atoms, the orbits where electrons move fastest have the lowest energy.

A photon is a discrete bundle (or quantum) of electromagnetic energy, often known as light energy. Photons have no mass, thus they move at the same rate as light (3 108 m/s). Each photon possesses the speed of light, or c, momentum (p = h v/c), energy (E = h), and momentum (p = h). Due to their electrical neutrality, photons are not affected by magnetic or electric fields. Radiation absorption or emission can result in the creation or destruction of photons.

The smallest elemental component of an atom, the electron has a negative charge. In a neutral atom, there are an equal number of protons and electrons. One electron and one proton are all that the hydrogen atom has.

Hence, (b) the photon because photons always travel through space faster than electrons. It depends on the relative mass of the electron and photon. In Bohr's model of atoms, the orbits where electrons move fastest have the lowest energy.

To know more about Photon, check out:

https://brainly.com/question/15946945

#SPJ4

They have been a lot greater big than maximum stars born today. Angular momentum performs an crucial position in big name formation.

The first-era stars are predicted to be very big, however the 2d-era stars may be low-mass items even though they're shaped from metal-loose gas. 1. Formation of the First Stars withinside the Universe Recent research tested that the primary stars withinside the universe are very big.

They shaped in small protogalaxies that advanced from density fluctuations withinside the early universe. and helium, the physics of big name formation desired the advent of our bodies that have been in many instances greater big and luminous than the sun. stars exploded as supernovae, dispersing heavy factors all through the universe.

As the Earth orbits across the Sun, constellations pass slowly to the west over the path of a year and we see special components of the sky at night time because, because the seasons change, we're searching in a special route in space.

Learn more about stars formation here https://brainly.com/question/7467199

#SPJ4

you cannot simply determine a direction in which the object traveling because it shall depend on the time the force is acting.

How to use Newton's laws?

The second Newton's law states that:

F = m*a

This says "force equals mass times acceleration".

Where acceleration is the rate of change of the speed. From that equation, we conclude that the acceleration is in the same direction that the net force.

So, if we know all the forces acting on an object, we know the net force acting on it, then we know the direction of the acceleration.

Is this enough to know the direction in which it is moving?

No, the object does not need to move in the same direction than its acceleration, the direction of motion will also depend on the initial velocity of the object (if it is initially moving with constant speed).

If we don't know that, we can't find the direction of motion.

An example of this can be a car going at 100km/h east-wise.

Then we apply a net force due west, then we have an acceleration due west. But as the initial direction of motion was east, the car will still move to the east, but the velocity will decrease gradually.

So as you can see in that example, we need to know the initial velocity to know the direction in which the object is moving.

If you want to know more about acceleration, you can read:

brainly.com/question/605631

#SPJ4

The use of IR sensor is object detection (option A).

An infrared (IR) sensor is an electronic device that measures and detects infrared radiation in its surrounding environment.

Infrared is the electromagnetic radiation of a wavelength longer than visible light, but shorter than microwave radiation, having a wavelength between 700 nm and 1 mm.

IR is invisible to the human eye, as its wavelength is longer than that of visible light (though it is still on the same electromagnetic spectrum).

Therefore, IR sensors can be used to identify objects.

Learn more about infrared sensors at: https://brainly.com/question/13143461

#SPJ1

The net torque about the vertical axis of the current loop due to the interaction of the current with the magnetic field is 1.039 * 10⁻⁴ N m.

The torque is described as

τ = N* I* B* A* sin θ

Where,

N = Number of loops

I = Current

B = Magnetic Field

A = Cross-sectional Area

θ = Angle between the loop and the magnetic field.

At this case the angle would be θ = 90° - 30° = 60°

Given that,

I = 0.5 A

B = 0.3 T

A = (0.04) (0.02) = 8* 10⁻⁴ m

N = 1

Replacing in our equation we have

τ = N* I* B* A* sin θ

τ = 1* 0.5* 0.3* 8* 10⁻⁴* sin 60°

τ = 1.039 * 10⁻⁴ N m

Therefore, the net torque about the vertical axis of the current loop due to the interaction of the current with the magnetic field is 1.039 * 10⁻⁴ N m.

The question is incomplete. The complete question is 'Assume that the loop is initially positioned at θ = 30° and the current flowing into the loop is 0.500 A . If the magnitude of the magnetic field is 0.300 T , what is τ,'

To know more about magnetic field:

https://brainly.com/question/13998221

#SPJ4

The acceleration of the eraser is 169.19 m/s².

A body travelling in a circle has centripetal acceleration. Due to the fact that velocity is a vector quantity (i.e., it has both a magnitude and a direction), when a body travels in a circle, its direction is continually changing, which causes a change in velocity, which results in an acceleration.

Given that angular velocity of the eraser: ω = 127 rpm

= 126×2π/60 radian/second

= 13.2 radian/second.

radius of the circle: r = 0.974 meter.

Hence, its centripetal acceleration is = ω²r

= 13.2×13.2×0.974 m/s²

=169.19 m/s².

Learn centripetal acceleration here:

https://brainly.com/question/14465119

#SPJ1

Answer:

To calculate the minimum frequency of radiation for which electrons can be emitted, we need to use the equation E = hf, where E is the maximum energy of the emitted electrons, h is the Planck constant, and f is the frequency of the radiation. Substituting the given values, we get:

E = hf

1.2 x 10^19 J = (6.6 x 10^34 Js)(f)

f = 1.8 x 10^15 Hz

Therefore, the minimum frequency of radiation for which electrons can be emitted is 1.8 x 10^15 Hz.

Explanation:

To calculate the minimum frequency of radiation for which electrons can be emitted, we need to use the equation E = hf, where E is the maximum energy of the emitted electrons, h is the Planck constant (6.6 x 10^34 Js), and f is the frequency of the incident radiation.

Plugging in the given values, we have E = (6.6 x 10^34 Js)(5.4 x 10^14 Hz). Solving for f, we get f = E/h = (1.2 x 10^19 J)/(6.6 x 10^34 Js) = 1.8 x 10^-15 Hz. This is the minimum frequency of radiation for which electrons can be emitted from the metal surface.

Energy this wave carry through the window during a 30.0 s commercial is E = 8.2 x 10⁻⁵ J

Area = 0.5 m²A

electric field of wave = 0.0400 V/m

time = t =30 sA

intensity of electromagnetic wave

I=2ηcε∣E∣

c is speed of light

I = 4.24 x 10⁻⁶ W/m²

the amount of energy required

E = I A t

E = 4.24 x 10⁻⁶ x 0.5 x 30

E = 8.2 x 10⁻⁵ J.

A wave's intensity (I) is calculated by dividing its rate of energy transfer by the surface area over which the energy is dispersed. The rate of energy flow per unit area is, in other words, what intensity is.

To know more about electromagnetic  visit:-

https://brainly.com/question/17057080

#SPJ4

Technician A is right. A pressure plate with a diaphragm requires less pedal effort to operate than one with a coil spring.

A diaphragm clutch is a type of car clutch that uses a diaphragm spring to engage and disengage the clutch.

The structure of this clutch is very similar to that of a single plate clutch, with the exception of using Belleville springs instead of coil springs in the diaphragm. Because there are no release levers and the spring has multi-lever functionality, this clutch has more advantages. The spring's pressure is constantly changing. It rises until the spring is flat, at which point it begins to descend. Unlike a coil spring-type clutch, the driver of this clutch does not need to apply as much pedal pressure to keep the clutch from engaging.

Thus clutch plate pushes the friction plate onto the flywheel. The diaphragm spring is located on the plate on one side of the pressure.

To learn more about clutch refer here

https://brainly.com/question/27818428

#SPJ4

The pressure exerted on the ground by the box of mass 5 kg is 0.98 N/m².

Pressure is defined to be the amount of force exerted per area acting on the surface of a body.

To calculate the preesure exerted on the ground, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the pressure exerted on the ground is 0.98 N/m².

Learn more about pressure here: https://brainly.com/question/28012687

#SPJ1

Raul pushes a stalled car with a force of 204 N. The average power required to move the car is 157 Watt.

The average power is given by:

P = ΔF . s / Δt

Where:

P = power

ΔF = force changes over a time period Δt

s = distance

Parameters given in the problem:

ΔF = 204 - 44 = 160 N

s = 16.3 m

Δt = 16 s

Plug these parameters into the formula,

P = ΔF . s / Δt

P = 160 x 16 / 16.3

P = 157 Watt

Hence, the required power is 157 Watt.

Learn more about power here:

https://brainly.com/question/25726319

#SPJ4

The interval of rocket speed ds² = (c*dt)² - dx²  is invariant.

What are the features of a rocket ?

A rocket is a special type of jet-propulsion device which carry either solid or liquid propellants and it provide both the fuel and oxidizer needed for combustion.

The rocket is commonly applied to various vehicles, including firework skyrockets, guided missiles, and launch vehicles applied in spaceflight.

The  physical principle involved in rocket propulsion was  derived by Sir Isaac Newton. According to third law of motion, the rocket experiences an increase in momentum proportional to the momentum carried away in the exhaust.

The rocket speed L is calculated to be as:

L= L₀ √1 - (v²/c²)

When differentiating we get

ds² = (c*dt)² - dx²

(c*dt)² = dx² + ds²

(c*dt)² = d(x² + s²)

Therefore, with this we can find the speed of rocket to be (c*dt)² = d(x² + s²).

To know more about speed of rocket, refer: https://brainly.com/question/25512069

#SPJ4

The rate constant for the nuclide is 0.0802[tex]min^-^1[/tex]

What is decay of nuclide?

Radioactive decay is a statistical phenomenon that occurs when unstable nuclides spontaneously decay and emit particles or photons. Alpha, beta, gamma, electron capture (EC), proton emission, neutron emission, cluster radioactivity, and spontaneous fission are the decay modes.

We know that,

M(t) = M e^-λt

Where,

M(t) = Mass of nuclide after decay of time t

M = Mass of nuclide after decay

λ = rate constant

t = time for decay

e^λt = M / M(t)

taking ln on both side:

λt = ln[tex](\frac{M}{M(t)})[/tex]

λ = [tex]\frac{ln(\frac{M}{M(t)})}{t}[/tex]

Given:

t = 23 mins

M = 12.9 gms

M(t) = 2.04 gms

Subsituting the values

λ = [tex](\frac{ln(\frac{12.4}{2.04})}{23}) min^-^1[/tex] = 0.0802[tex]min^-^1[/tex]

The rate constant for the nuclide is 0.0802[tex]min^-^1[/tex]

To know more about decay of nuclide, check out:

https://brainly.com/question/29661194

#SPJ4