How can a protective device minimize the magnitude of the net
force acting on an egg in a cart during a collision?

The work done by a person will be  2341.28 J

Work done is negative of change in potential energy, that is  W=−(∆U). It means that Work done against a force (or work done on a system) increases its potential energy. And Work done by a force (or work done by the system) decreases its potential energy

mass = 60.33kg

height = 3.96 m

work done = change in potential energy

                  = m*g*h

                  = 60.33* 9.8 * 3.96 = 2341.28 J

The work done by a person will be  2341.28 J

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If a Ferris wheel has a 15-m radius and completes five turns about its horizontal axis every minute then the acceleration of a passenger at his lowest point during the ride is 4.11 [tex]\text{m/s}^{2}[/tex].

Calculation:

Step-1:

It is given that the radius of the Ferris wheel is r=15 m, and the angular speed of the wheel is [tex]\omega[/tex]=5rev/min.

It is required to find the angular acceleration of a passenger at his lowest point during the ride.

The formula required to calculate the angular acceleration is, [tex]a=\omega ^2 r[/tex].

Step-2:

Now substituting the given values into the equation to get the value of the angular acceleration.

[tex]\begin{aligned}a &=\omega^{2} r \\&=(5 \mathrm{rev} / \mathrm{min})^{2}(15 \mathrm{~m}) \\&=\left(5 \mathrm{rev} / \mathrm{min} \times \frac{\left(\frac{2 \pi}{60}\right) \mathrm{rad} / \mathrm{sec}}{1 \mathrm{rev} / \mathrm{min}}\right)^{2}(15 \mathrm{~m}) \\&=(0.2741 \times 15) \mathrm{m} / \mathrm{s}^{2} \\&=4.11 \mathrm{~m} / \mathrm{s}^{2}\end{aligned}[/tex]

The acceleration is towards upwards that means towards the center of the wheel.

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Answer:

Yes

Explanation:

The Earth is about 4x bigger than the moon. Scientists speculate that the moon was once part of Earth, until something hit the Earth, and broke off a large chunk of it. These pieces were flung off the Earth, and began to orbit it. Slowly, the pieces were mashed together by gravity, and formed the moon.

Answer: A CD has diameter of 110 millimeters. When playing audio, the angular speed varies to keep the linear speed constant where the disc is being read. When reading along the outer edge of the disc, the angular speed is about 220 RPM (revolutions per minute). Then, the linear speed of the disc will be 1.26 m/s.

Explanation: To find the answer we need to know about the uniform circular motion.

                               [tex]v=rw[/tex]

                             [tex]w=2\pi f[/tex]

                           [tex]w=2\pi f=2\pi *220 min^{-1}=1381.6 min^{-1}[/tex]

                           [tex]1mm=10^{-3}m\\1min=60s\\thus,\\w=\frac{1381.6}{60} =23.02 s^{-1}.[/tex]

                       [tex]v=wr=23.02*55*10^{-3}=1.26 m/s[/tex]

Thus, we can conclude that the linear speed of the disc will be 1.26 m/s.

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Disclaimer: The question was given wrong in the given portal. Here is the correct question.

Question: A CD has diameter of 110 millimeters. When playing audio, the angular speed varies to keep the linear speed constant where the disc is being read. When reading along the outer edge of the disc, the angular speed is about 220 RPM (revolutions per minute). Find the linear speed.

Frictional force provided by the teeth of the boots which are in contact with the grass in the soccer pitch enables the soccer player to start running and prevents him from slipping and falling.

Friction is the opposition to the relative motion of one object over another at their surface of contact.

Friction is a type of contact force as it requires between the two objects for its effect to be felt.

Friction has both advantages and disadvantages.

On of the advantages of friction is in the ability to walk or run. Friction between the ground and the foot or the boots of a person walking or running enables the person from slipping.

For example, when a soccer player runs with soccer boots, friction enables the runner to start running and prevents him from slipping and falling. The friction is provided by the teeth of the boots which are in contact with the grass in the soccer pitch.

In conclusion, friction enables a soccer player to start running and also prevents him from falling.

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❄ Hi there.

a pencil is composed mostly of wood.

Let's check if the other choices are right.

A. Sweaters are not made of wood

B. Tiles are not made of wood

C. Pencils are made of wood

D. Bricks are not made of wood

∴ the right choice is C.

❄

The magnifying power of this telescope is 12,5.

The telescope is an optical instrument that aims to allow the observation of large objects at long distances, such as galaxies, stars and planets. It consists of two parts: the objective, which can be a lens or a curved mirror, and the eyepiece, made up of a set of lenses.

With that being said and knowing that:

The focal length of the objective of a telescope (fo) = 75cm; The focal length of the eyepiece of a telescope (fe) = 6cm.

[tex]M = \frac{fo}{fe}[/tex]

Changing the values:

[tex]M = \frac{75}{6} = 12,5[/tex]

So, The magnifying power of this telescope is 12,5.

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As we adjust to low light, our cone becomes nonfunctional and it may take 20-30 min for rhodopsin to become regenerated sufficiently so that you can see well in low-light conditions.

The most prevalent protein in the retinal rod cells is rhodopsin, a G-protein coupled receptor. It consists of two components: an opsin molecule connected to an 11-cis-retinal chromophore, which serves as the main photoreceptor molecule of vision. When a photon of light excites 11-cis retinal, rhodopsin is linked to it. This isomerizes into an all-trans conformation.

Rhodopsin is crucial to our ability to see in low light because it enables the rods in our eyes to receive photons and detect light. As rhodopsin absorbs a photon, it separates into a retinal and an opsin molecule before slowly and at a constant rate recombining back into rhodopsin. But because this happens gradually, it takes some time for our eyes to get used to the dark. For humans, acclimating to the dark takes roughly 20 to 30 minutes.

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The graphical representation of Tara is correct because of energy of the wave depends on the amplitude of the wave.

The energy of a wave due to the motion of a spring is calculated as follows;

E = ¹/₂KA²

where;

Thus, the graphical representation of Tara is correct because of energy of the wave depends on the amplitude of the wave.

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Answer:  No, it is not correct because as the amplitude of a wave increases, the energy it carries also increases. This graph shows that as the amplitude increases, the energy decreases.  

Explanation:

Voltage-gated calcium ion channels that function in neurotransmission are primarily found on the: excitable cells

A neurotransmitter is the body’s chemical messenger. They are molecules that transmit signals from neurons to muscles, or between different neurons. The transmission of signals between two neurons occurs in the synaptic cleft.

The electrical signals that travel along the axon are briefly converted into chemical signals through neurotransmitters.

Voltage-gated calcium (Ca2+) channels are key transducers of membrane potential changes into intracellular Ca2+ transients that initiate many physiological events. There are ten members of the voltage-gated Ca2+ channel family in mammals, and they serve distinct roles in cellular signal transduction.

They are found in excitable cells, not only in motor neurons but also in other types of excitable cells .

Voltage-gated calcium channels are important mediators of depolarization-evoked release of neurotransmitters. To ensure efficient coupling of calcium influx to rapid vesicle release, calcium channels must be localized within the active zones of presynaptic nerve terminals

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A dielectric fabric is used to split the conductive plates of a capacitor. This insulating cloth significantly determines the properties of a component. The dielectric constant of fabric determines the amount of strength that a capacitor can keep while voltage is applied.

A capacitor is an electrical component that attracts energy from a battery and stores the power. Internal, the terminals connect with metal plates separated by way of a non-engaging in substance. While activated, a capacitor quickly releases electricity in a tiny fraction of a 2d.

Capacitor, a tool for storing electric electricity, together with two conductors in near proximity and insulated from each different. A simple example of this sort of garage tool is the parallel-plate capacitor.

A capacitor is a tool that shops electric power in an electric-powered area. it is a passive digital thing with terminals. The effect of a capacitor is called capacitance.

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Lamp Wattage is utilized with a CU of 0.75 and 80 percent of the available light reaches the work surface, the remaining 20 percent is absorbed by walls and other objects in the space, resulting in an illumination level of 50 f-c over a 100 ft2 area

The term "lumen" refers to the emission of "luminous flux," which is a measurement of the total amount of visible light emitted by a source in a certain amount of time. The illumination level over a 100 ft2 area will be 50 f-c Lamp Wattage with a CU of 0.75 used, with 80 percent of the available light reaching the work surface and the remaining 20 percent being absorbed by walls and other objects in the room.
Total Lamp Wattage = Number of Lamps X Wattage of Each Lamp.
The fixtures' total wattage is 2 x 32, or 64 watts.
Lumen per Fixtures equals Lumen Efficiency (Lumen per Watt) times the Watt of each Fixture
85x 64 = 5440 lumens per fixture.

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A kettle was tested for its energy efficiency. Its power rating was 900 W. Over the course of 4 minutes and 30 seconds, its useful energy output was 0.05 kWh

Energy is referred to by scientists as the capacity for work. People have figured out how to transform energy from one form to another and then use it to accomplish tasks, making modern civilization possible.

Thermal energy, radiant energy, chemical energy, nuclear energy, electrical energy, motion energy, sound energy, elastic energy, and gravitational energy are among the several types of energy.

The ability to perform tasks is referred to as energy. Formula. Potential energy is the energy that an object has stored because of its position and height, and it may be calculated using the following formula: P.E. equals mgh.

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In ptolemy's system the planets orbit the earth and not the sun ,  the system explain the retrograde motion of planets like jupiter as planets move on two sets of circles, a deferent and an epicycle. It held that the planets moved along small circles that moved on larger circles around Earth, and that the combined motion sometimes resulted in backward motion.

Retrograde motion, in astronomy, actual or apparent motion of a body in a direction opposite to that of the (direct) motions of most members of the solar system or of other astronomical systems with a preferred direction of motion.

Retrograde motion is an apparent change in the movement of the planet through the sky. It is not real in that the planet does not physically start moving backwards in its orbit. It just appears to do so because of the relative positions of the planet and Earth and how they are moving around the Sun.

Claudius Ptolemy , argued that planets move on two sets of circles, a deferent and an epicycle. This explained retrograde motion while keeping the planets in their circular orbits around the Earth.

It held that the planets moved along small circles that moved on larger circles around Earth, and that the combined motion sometimes resulted in backward motion.

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The magnitude of the initial velocity of the ball relative to the ground is 9.3 m/s.

Relative velocity is the velocity of an object relative to another moving in the same plane. On frame of reference is used when measuring relative velocity.

The velocity of the ball relative to the ground  is the sum of the velocity of the ballistic cart and the velocity in which the ball is ejected.

The velocity of the ball relative to the ground = 6.5 m/s + 2.8 m/s = 9.3 m/s

In conclusion, relative velocity measures the velocity of an object from a reference point.

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On screen A the opaque disk cast a shadow that is completely dark at the center

opaque is defined as difficult to understand or not allowing light to pass through. The appearance of a black sheet of paper is an illustration of opaqueness. The study of astrophysics is an illustration of opaque.

An opaque object illuminated by a point source of light is said to produce a crisp shadow whose dimensions may be determined using geometry. This is according to geometric optics. The computation process is quite simple. Light beams are uniformly emitted from the source in all directions. These rays can be visualized as lines radiating straight out from the source. When a light source encounters an opaque object, the light rays cease moving away from the source.

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Answer:

R = ρ L / A       resistance of wire

ρC / ρA = [RC AC/ LC] / [RA AA/ LA} = AC / AA

Since resistance and length are the same for both wires where A is the area of the wire

ρC / ρA = rC^2 / rA^2        where r is the radius of the wire

(ρC / ρA)^1/2 = rC / rA

rC / rA = (1.72 / 2.83)^1/2

rC / rA = .780        radius of copper wire is .780 of aluminum wire

The motor full load currents listed in NEC Tables 430.247 through 430.250 shall be used to determine the capacity of motor circuit conductors and short-circuit and ground-fault protection. This is further explained below.

Generally, Moving through an area of water or air where there is less movement than the water or air itself, an eddies

In conclusion, Using the full load currents indicated in NEC Tables 430.247 through 430.250, the capacity of motor circuit conductors and short-circuit and ground-fault protection for motors should be determined.

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The heat needed to turn water into ice at zero degrees is expressed as mL = 1.70*333000 = 566100 J. specific heat of vaporization is necessary to raise its temperature.

a unit mass's transition from a liquid at its boiling point to a gas at the same temperature, measured in terms of heat. is the specific heat of vaporization

The quantity of energy (enthalpy) that must be added to a liquid substance in order to convert some of that substance into a gas is known as the heat of evaporation. At 100 °C, which is the boiling point of water, the specific heat of vaporization for water is about 540 cal/g.

It should be noted that even at lower temperatures, some water molecules—those that happen to have high kinetic energy—will escape from the water's surface. When temperatures reach a specific level, known as the crucial temperature, specific heat of vaporization totally disappears.

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A photonic system exemplifying the biological neural process of spike timing dependent plasticity (STDP) is experimentally demonstrated using nonlinear polarization rotation. STDP represents the neuronal responses for learning based on input/output timing, order, and sequence.

according to the present synapse weight, we implement the optical spike timing dependent plasticity (STDP) with weight-dependent learning window in a VCSOA with double optical spike injections,

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The galaxy will be D = 84.96 km far away

Hubble's law, which says simply that a galaxy's velocity (or as is sometimes plotted, its redshift) is directly proportional to its distance, also tells us something important about the state of the universe. If the universe is static and unchanging, there should be no correlation between distance and velocity.

Recessional velocity is the rate at which an extragalactic astronomical object recedes (becomes more distant) from an observer as a result of the expansion of the universe. It can be measured by observing the wavelength shifts of spectral lines emitted by the object, known as the object's cosmological redshift.

V (r) = H * D + V pec

6000 = 69.8 * D + 70

5930 / 69.8 = D

D = 84.96 km

The galaxy will be D = 84.96 km far away

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The net force acting on the box of mass 1.75kg when it is pushed across a ground with coefficient of friction k=0.267 with a force of 8.35N, is 3.77N.

To find the answer, we have to know more about the basic forces acting on a body.

                                 [tex]N=mg\\F_t=ma\\F_t=F-f[/tex]

where, N is the normal reaction, mg is the weight of the box, [tex]F_t[/tex] is the net force, f is the kinetic friction.

                      [tex]f=kN=kmg=0.267*1.75*9.8= 4.58N[/tex]

                        [tex]F_t= 8.35-4.58=3.77N[/tex]

Thus, we can conclude that, the net force acting on the box of mass 1.75kg when it is pushed across a ground with coefficient of friction k=0.267 with a force of 8.35N, is 3.77N.

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The net force acting on the box is 3.77 N.

We need to learn more about the fundamental forces affecting a body in order to locate the solution.

                             [tex]N=mg\\F_n=F-f[/tex]

where N stands for the normal reaction, mg for the box's weight, is the net force, and f for kinetic friction.

                            [tex]f=kN=kmg=4.58N[/tex]

                                     [tex]F_n=3.77N[/tex]

Thus, it is clear that the box with a mass of 1.75 kg will experience a net force of 3.77 N when it is pushed across a surface with a coefficient of friction of 0.264.

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When amplitude of motion increases to 2a the time period remains the same.

The formula for spring mass system is given by

                          T = 2π√m/k

 where,            k = spring constant

                         m= mass of spring

                         T = time period

So, from here we get to know that time period is independent of amplitude, so we increase or decrease the amplitude of system there will be no effect on Time period of spring mass system.  

Thus, when amplitude of motion increases to 2a the time period remains the same.  

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The period of a satellite, the time it takes for a complete revolution, depends on the satellite's mass of planet and the distance of satellite form center of the planet .

According to the question

The period of a satellite, the time it takes for a complete revolution, depends on the satellite's:

1. The mass of the planet being orbited

2. The distance of the satellite from the center of the planet.

Hence, The period of a satellite, the time it takes for a complete revolution, depends on the satellite's mass of planet and the distance of satellite form center of the planet .

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The total kinetic energy of the system after collision is 223.5J

In elastic collision kinetic energy and momentum are conserved.

According to the question

               mass of object a = 25kg

               mass of object b =  25 kg

        initial velocity of a u1 = 5.98 m/s

        initial velocity  of b u2 = 0

so from momentum conservation-

       mau1 + mbu2 = (m1+m2)v

       25kg × 5.98m/s + 25×0 = (25+25)v

              v = 2.99 m/s

Now the total kinetic energy after the collision will be:

          final kinetic energy = 1/2 (m1+m2) v²

                                           = 1/2 (25+25)× (2.99)²

                                           = 223.5 J

    Thus, total kinetic energy of the system after collision is 223.5J

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The acceleration Block A is derived as a= 11.983ft/s². See explanation below.

Recall that we are given the following:

Radium = 20 inches

Weight = 330lbs

Radius of gyration = 15in

Mass of Block = 110lb

The formula for Moment of Inertia is also given as:

I = mk²

= 330 [ 15/12]²

I = 515.625 lb/ft²

To derive the moment about O, we recourse to

∈M₀ = I∝

TR =  I∝

T [20/12] = 515.625 ∝

T = 309.375∝

Next, to derive the weight of the block A hanging freely,

Wa = MAg

= 110 x 32.2

= 3542 lbf

Acceleration is derived by

A = r∝

= [20/12] ∝

a = 1.667 ∝.........Lets call this equation 1

Value of the acceleration derived by Dalembert Principle

∈Fy = mAa

Wa-T = mAa

3542 - 309.375∝ = 110 x 1.667∝

3542 = 492.745∝

∝ = 7.8188 Rad/s²............Lets call this equation 2

Substituting the value of ∝ in equation 1, we have

a = 1.667∝

= 1.667 x 7.1883

a = 11.983 ft/s²

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The potential energy of the monkey at the given position is 600.9 J.

Potential energy is the energy stored in a body that depends upon the relative position of various parts of the body.

It increases with increase in the height of the object above the ground level.

The potential energy of the monkey is calculated as follows;

P.E = mgh

P.E = mg (L sin43)

where;

Substitute the given parameters and solve potential energy of the monkey

P.E = (16.9)(9.8)( 5.32 x sin 43)

P.E = 600.9 J

Thus, the potential energy of the monkey at the given position is 600.9 J.

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A voltmeter needs to be connected in parallel to the two sites in order to measure the potential difference between them.

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The maximum speed of the face is determined as 6.75 x 10⁻⁵ m/s.

v = fλ

where;

ω = 2πf

v(max) = ωA

v(max) = 2πfA

where;

v(max)  = 2π(215)(50 x 10⁻⁹ m)

v(max) = 6.75 x 10⁻⁵ m/s

Thus, the maximum speed of the face is determined as 6.75 x 10⁻⁵ m/s.

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About 4.5 mol of water will be created when the platinum-based engine is run continuously at 300 K for an hour with 0.5 atm of H2 and 0.5 atm of O2 injected for each reaction.

For fuel cell engines' electrodes, platinum is a requirement. It acts as an electrocatalyst to speed up the electrochemical reactions needed to induce H2 to release electrons and form H2 ions when it is placed on porous electrodes.

Platinum is particularly well suited as a fuel cell catalyst because it makes it possible for the hydrogen and oxygen reactions to occur at an ideal rate and because it is stable enough to withstand both the intense electrical current density and the complex chemical environment found inside a fuel cell. This allows platinum to function effectively over an extended period of time.

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