two concave lenses, each with f = -11 cm , are separated by 5.4 cm . an object is placed 24 cm in front of one of the lenses.

Answer:

jus did this, the answer is A, -0.8 m/s^2 :)

Explanation:

The difference in maximum stored energy between the sprinters and the non athletes is 9.47200 J or 9.5 J.

X1 = 41 mm = 0.041 m

X2 = 33 mm = 0.033 m

spring constant k = 31N/mm = 32000 N/m

the difference in maximum stored energy between the sprinters and the nonathletes  = 1/2*k*(X12-X22)

=1/2*32000*0.074*0.008

[we knowthat X12-X22=(X1+X2)(X1-X2)]

=9.47200 J or 9.5 J

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Answer:

1. Planetary Model

2. Protons and Neutrons

Explanation:

1. planetary model is also known as quantum model, which is the model we use nowadays

2. Majority of the mass is from the total of neutrons and protons, electrons are so small that it is not included with the mass

Hope this helps

1. The atom is currently represented by the quantum mechanical model. Additionally known as the Electron cloud model.

The quantum mechanical model, developed by Erwin Schrödinger, treats electrons as matter waves.

Previously, in Bohr's model, electrons were seen as having a particle character and resided in well-defined orbits. Schrödinger interpreted electrons as matter waves after expanding on Bohr's concept.

The quantum mechanical model, or electron cloud model, is another name for it. Hence, option d is correct.

2. The mass of the proton and neutron together make up the atomic mass. Hence, option (a) is correct.

Electrons, protons, and neutrons are subatomic particles that makeup atoms. Atomic mass is expressed in terms of AMU.

JJ Thomson is credited with discovering electrons. They are negatively charged at a 1.602 x 10-19 coulomb level.

Rutherford gave the name proton to an entity that E. Goldstein had discovered. They have a 1.602 x 10-19 coulomb positive charge.

James Chadwick discovers neutrons. They have no electrical charge.

Compared to the masses of the proton and neutron, the mass of the electron is insignificant. The order of mass is neutron, proton, then electron.

Therefore, an electron's mass is very small, and an atom's mass is made up of the masses of a proton and a neutron.

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The electric field vector at one point  is the magnitude of the electrostatic force exerted per unit charge on a test charge at that point.The correct option is: (C) I and II only ,.

When charge is present in any form, a point in space has an electric field that is connected to it. The strength and direction of the electric field are expressed by the value of E, sometimes referred to as the electric field strength, electric field intensity, or simply the electric field. Without any precise information of what generated the field, simply knowing the magnitude of the electric field at a certain location is sufficient to predict what would happen to electric charges nearby.

E = \(\frac{F}{q}\).  The vector nature of the equation allows one to find the direction of F and the equation itself allows one to find the ratio F/q, but not q specifically.

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B. Lead is a conductor....

The force = 1.334 x 10⁴ N

Gravity is a force that arises because of the attraction between objects with mass.  

The magnitude of this attraction is proportional to the mass of the object.  

The greater the mass of the object, the greater the gravitational force  

Relationships can both be stated in  

Newton's Gravity Law:  

\(\rm F=G.\dfrac{m_1.m_2}{r^2}\)

with F = gravitational force,  N

G = gravitational constant,  6.67 x 10⁻¹¹ Nm²/kg²

m1, m2 = mass of object,  kg

r = distance between two objects.  m

m₁= 1 kg

m₂=2 x 10²⁰ kg

r = 1 x 10³ m

The force acting on the smaller object=The force acting on the larger object(Newton's Third Law)

\(\tt F=6.67\times 10^{-11}\dfrac{1\times 2.10^{20}}{(1\times 10^3)^2}\\\\F=1.334\times 10^4~N\)

The sensation of colour is seen when light falls on the eye's cones.

The retina, a component of the eye, is what detects light entering our eyes. The pupil is the black hole in the centre of the eye that lets the light into the eye.

Light-sensitive cells can be found in the retina of the eye. It contains two kinds of cells known as rods and cones. Cones are the cells of retina that produce colour sensation. These photoreceptor cells are responsible for colour vision.

Rod cells are photoreceptor cells in the retina that function in dim light better than the other type of visual photoreceptor, cone cells.

Rods are employed in peripheral vision and are often clustered at the borders of the retina.

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A long wave with a wavelength of 1,000 miles is equivalent to 1,609.34 kilometers

In radio, longwave, long wave or long-wave, and commonly abbreviated LW, refers to parts of the radio spectrum with wavelengths longer than what was originally called the medium-wave broadcasting band.To convert the wavelength from miles to kilometers, you can use the conversion factor of 1 mile = 1.60934 kilometers.

Step 1: Start with the given wavelength of 1,000 miles.
Step 2: Multiply the wavelength by the conversion factor of 1.60934 kilometers per mile.
  1,000 miles × 1.60934 kilometers/mile = 1,609.34 kilometers

Therefore, a long wave with a wavelength of 1,000 miles is equivalent to 1,609.34 kilometers.

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Answer:The events listed that could cause supply to change are:

A producer goes out of business.

A natural disaster causes production to drop.  

A resource needed to produce more of the good has became scarce.

If a producer goes out of business, supply will decrease because one of the people that were supplying the market with goods and services will no longer be doing so.

When there is a natural disaster, this can also reduce supply as it can damage production facilities as well as limit access to the resources needed for production.

If the resource that is needed in production becomes scarce, supply will drop because there would be reduced production of goods and services.

The events that could cause the change in supply shown on this graph will be A producer going out of business. and a natural disaster causes production to drop.

The quantity of a certain product or service that suppliers are prepared to offer to consumers at a given price level at a given time is referred to as supply.

When a producer goes out of business, supply decreases because one of the persons who was supplying the market with goods and services no longer does so.

Natural disasters can also affect supply because they can damage industrial infrastructure and limit access to the resources needed for production.

Hence the events that could cause the change in supply shown on this graph will be A producer going out of business. and a natural disaster causes production to drop.

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Answer: As the variable resistance increases its resistance, the current which flow through the lamp will decrease and therefore its brightness decreases. ... If the resistors are very large, they have no impact and the lamps will be the same brightness.

Explanation:

Answer:

The intensity or brightness of the bulb increases as more dry cell is added in the circuit.

Explanation:

Hope it helps :)

In a lab, while performing the experiment, one question that I will ask will be - How potential energy can be converted into thermal energy? The answer for tat will be by seeing and understanding the sample response in the experiment.

Potential energy is released from them when they are divided. A particle's potential energy increases with distance. As they gain speed, their kinetic energy increases. The thermal energy of an object is the sum of the kinetic and potential energies of all the particles.

Energy from heat transfer as potential and kinetic energy

This occurs as a result of the attractive forces they generate for one another. Additionally, the particles are forced apart by a rise in body temperature. As a result, as their potential energy rises, so do the forces of attraction between them.

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The distance the car would travel when it hit the barrier before coming to a stop is 14.6 m.

The distance travelled by the car before stopping is calculated by applying third kinematic equation as shown.

v² = u² - 2as

where;

when the car stops,  the final velocity will zero, v =  0

0 = u² - 2as

2as = u²

s = u²/2a

The given parameter;

initial velocity of the car, u = 110 km/h = 30.56 m/s

a = 32 m/s²

s = (30.56²) / (2 x 32)

s = 14.6 m

Thus, when the car hits the soft barrier, it will slow down and travel a distance of 14.6 m before coming to rest.

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Many people experience pain in their ears while diving to the bottom of a pool because of the change in pressure.

As the depth increases, the pressure increases, and the volume of air in the ear (in the middle ear space behind the eardrum) is compressed. This can cause discomfort or pain. Additionally, water pressure can push on the eardrum, further increasing the discomfort.

This phenomenon is commonly known as "swimmer's ear" or "dive ear" and can be prevented by equalizing the pressure in the ear through techniques like swallowing, yawning, or holding one's nose and blowing gently.

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The answer is:

PRESSURE INCREASES AS THE DEPTH OF THE WATER COLUMN ABOVE THEM INCREASES.

This is correct for pf students!

Hope i helped!

The smallest sound power output of the airplane motor that can be listened to on the ground is  6.73 × 10^-6 W which has the lowest-intensity sound that is still loud and has an intensity of  10^-12 W/m^2.

The intensity of sound =  10^-12 W/m^2

Altitude =  6,500 m.

Calculate the smallest sound energy output of an aircraft motor that can be heard on the ground is done by using the formula:

I = P/(4πr^2)

Pythagoras' theorem is used for calculating the distance

d = (\(\sqrt{6500^2 + R^2}\))

I = 10^-12 W/m^2

d = \(\sqrt{6500^2 + R^2}\)

d = 6500 m

P/(4πd^2) = I

\(P/(4π(6500)^2) = 10^-12 W/m^2\)

\(P = 4π(6500)^2 × 10^-12 W\)

P = 6.73 × 10^-6 W

Therefore, we can conclude that the smallest sound power output of the aircraft engine that can be heard on the ground is  6.73 × 10^-6 W.

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Here work done by the car against the force of air in each second denotes the power needed to overcome air resistance at that particular speed. The power of engine is 28 kW.

The power of an object denotes the rate of performing the work. It is defined as the work done in unit time. The SI unit of power is Watt (W) which is also called joules per second.

Power = Resistance × Speed of vehicle

Here the air resistance is found to be 700 N. Then,

Power = 700 × 40 = 28000 N m/s = 28 kW

Thus the engine power is 28 kW.

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The red (660 nm) component of light emerges from the prism at an angle of 0.597° and the violet (410 nm) component of light emerges from the prism at an angle of 0.589°.

a) The angle at which the red (660 nm) component of light emerges from the prism can be calculated using Snell's law. The incident angle of the beam is 45.0° and the index of refraction of crown glass for this wavelength is 1.512.

sin i / sin r = n

where i is the incident angle, r is the angle of refraction, and n is the index of refraction.

sin i = n sin r

sin 45.0° = 1.512 sin r

r =  sin⁻¹ (sin 45.0° / 1.512)

r = 0.597°

Therefore, the red component of light emerges from the prism at an angle of 0.597°.

b) The angle at which the violet (410 nm) component of light emerges from the prism can be calculated in a similar manner. The incident angle of the beam is still 45.0°, but the index of refraction of crown glass for this wavelength is 1.530.

sin i / sin r = n

where i is the incident angle, r is the angle of refraction, and n is the index of refraction.

sin i = n sin r

sin 45.0° = 1.530 sin r

r = sin⁻¹ (sin 45.0° / 1.530)

r = 0.589°

Therefore, the violet component of light emerges from the prism at an angle of 0.589°.

In summary, the red light and violet light emerge at angles 0.597° and 0.589° respectively from the prism.

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For an object that is only 150 years old, there would still be a significant amount of carbon-14 present in the sample, which would make it difficult to accurately determine the age of the object. The age of the sample is 23,108 years.

We know that;

0.693/t1/2 = 2.303/t log (No/N)

0.693/5700 = 2.303/t log (80/5)

0.693/5700 = 2.773/t

1.2 * 10^-4 = 2.773/t

t = 2.773/1.2 * 10^-4

t = 23,108 years

Carbon-14 dating is a radiometric dating method used to determine the age of organic materials up to approximately 50,000 years old. Carbon-14 (14C) is a radioactive isotope of carbon that decays over time, and the amount of 14C remaining in a sample can be used to determine its age.

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The M16A3 service rifle has a maximum effective range of about 600 meters. This range represents the distance at which it can consistently hit a human-sized target with a high likelihood of incapacitation.

The M16A3 service rifle, chambered in 5.56×45mm NATO, has a maximum effective range of around 600 meters. This refers to the distance at which the weapon can consistently hit a human-sized target with a high probability of incapacitation.

The rifle utilizes a 20-inch barrel length, which allows for better bullet stabilization and accuracy at longer distances compared to shorter barrels. The 5.56×45mm NATO round fired by the M16A3 has a relatively flat trajectory, making it effective at medium ranges.

However, beyond 600 meters, the bullet starts to lose energy and accuracy, reducing its effectiveness in engaging targets. It's worth noting that individual shooter skill, environmental conditions, and target characteristics can also impact the rifle's effective range in practice.

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Answer:

Thermal energy can be transferred globally through various methods, including conduction, convection, and radiation.

Conduction is the transfer of thermal energy through direct contact between objects. When two objects with different temperatures are in direct contact, heat will flow from the warmer object to the cooler object until both objects reach thermal equilibrium.

Convection is the transfer of thermal energy through the movement of fluids or gases. When a fluid or gas is heated, it becomes less dense and rises, while cooler fluids or gases sink. This creates circulation patterns that can transfer heat from one location to another.

Radiation is the transfer of thermal energy through electromagnetic waves. All objects with a temperature above absolute zero emit electromagnetic radiation, and this radiation can be absorbed by other objects, transferring heat.

Thermal energy can also be transferred globally through the use of heat pumps, which use electricity to move heat from one location to another. Heat pumps can be used to heat buildings in cold climates and to cool buildings in hot climates.

Explanation:

There are three ways heat is transferred into and through the atmosphere:

The season's change in Ohio would be longer summer.

The tilting of earth on its axis is what is responsible for the different seasons we experience.

This effect of Earth 23.5 degree tilt causes the southern hemisphere to be getting ready for winter at the same time the northern hemisphere is heading into summer.

The 23.5 degree tilt of the Earth causes the countries near the poles to be flooded with sunlight all day long in summer while they get little or no light in mid-winter.

The equator which is at zero degree latitude experiences almost equal sunlight throughout the year.

If Earth tilts to zero degree, countries near the pole will experience the weather condition common in the equator while the countries in the equator will experience the ones common in the poles.

Thus, the Earth tilt's from 23.5 degree to zero degree, they will be constant sunlight in the northern and southern hemisphere.

The season's change in Ohio would be longer summer.

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The key to walking on fire without burning one's feet is the low thermal conductivity of ash and the short time the feet stay in contact with the hot coals.

Firewalking is a practice of walking on a bed of hot embers or coals that are usually from a wood fire. Most fire walkers practice this act for religious, spiritual, or cultural events.

The key factor that makes it possible for fire walkers to walk on hot embers without getting burned is the coals' low thermal conductivity. Thermal conductivity is the ability of a material to conduct heat. The lower the thermal conductivity, the less heat a material conducts.

Firewalkers usually walk on ash-covered embers that have been burning for several hours. Firewalkers walk across the embers quickly, taking short steps and keeping their weight on the balls of their feet.

This ensures that their feet are in contact with the hot coals for a minimal amount of time, making it possible to walk on fire without burning their feet.

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Answer:

The sound waves from a radio speakers

Explanation:

Calculate the specific heat capacity of the lime juice.

The heat of fusion indicates the energy required to convert 1 g of solid to liquid at the same temperature. 250 x 332 Joules are required to melt 250 g of ice. For example, let's look at the energy required to melt 1 kg of ice at 0°C to produce 1 kg of water at 0°C.

For example, consider the energy required to melt 1 kg of ice at 0 °C to produce 1 kg of water at 0 °C. Using the temperature change equation and the water values ​​in Table 1, we find that Q = mLf = 1.0 kg,  334 kJ/kg = 334 kJ is the energy to melt 1 kilogram of ice. The specific heat capacity of lemonade is about the same as that of water c = 4186 J/kg°C.

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(a) The energy needed to melt the ice is 27200 J.

(b) The formula to calculate the energy gained by the melted ice is Q = mCΔT.

(c) The energy gained by the melted ice from lemonade is 2688 J.

(d) The lost energy by the lime juice is 29888 J.

(e) The specific heat capacity of the lime juice is 4.447 J/ g °C.

The mass of ice is 80 grams.

The temperature of lemonade decreases from 29 °C to 8 °C.

The mass of lemonade, M = 0.32 kg = 320 g

The specific latent heat of fusion of ice = 3.4 × 10⁵ J/kg

Specific heat capacity of water = 4.2 × 10³ J/kg °C

a) The heat energy required to melt 1 kg of ice = 3.4 × 10⁵ J

So, the heat energy to melt 1 gram of ice = 340 J

Therefore, the energy required to melt 80 grams of ice = 340 × 80 = 27200 J

b) The formula for the energy gained by the melted ice from the lemonade is:

Q = mCΔT

Where m is the mass, C is the specific heat capacity, and ΔT is the change in temperature.

c) The energy gained by the melting of ice at 0 °C, Q = mCΔT

Q = 80 × 4.2 × ( 8 °C - 0 °C)

Q = 2688 J

d) The energy lost by the lime juice is energy gained by ice and water.

Lost energy by lime juice = 27200 J + 2688 J = 29888 J

e) Let's say C' is the specific heat capacity of the lime juice.

Then,

Q = MC'ΔT

Q = 320 g × C' × ( 29 - 8 )

Q = 6720C'

In equilibrium,

Heat lost = heat gained

6720C' = 29888 J

C' = 4.447 J/ g °C

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To develop a sampling plan for LSI circuit chips, an electronics firm should consider the AQL (Acceptable Quality Level) of 0.15 specified by the LSI manufacturing department and the LTPD (Lot Tolerance Percent Defective) of 0.40 acceptable by the assembly department.

The sampling plan should involve selecting a representative sample of LSI circuit chips from the manufacturing department and conducting tests to determine their quality. The AQL of 0.15 means that the manufacturing department will tolerate no more than 15% defective chips in a given sample. Therefore, the sampling plan should ensure that the sample size is large enough to provide statistical confidence in determining the quality level of the chips.

The assembly department's LTPD of 0.40 indicates the maximum allowable defective rate for the chips after assembly. This implies that the sampling plan needs to consider the overall quality of the chips and their performance in the final analog devices.

To execute the sampling plan, one could follow these steps:

1. Determine the appropriate sample size based on statistical calculations, taking into account the desired confidence level and the acceptable quality levels specified by both departments.

2. Randomly select the required number of LSI circuit chips from the manufacturing department.

3. Perform thorough testing and inspection on the selected chips to identify any defects or anomalies.

4. Calculate the defect rate based on the number of defective chips found in the sample.

5. Compare the defect rate with the specified AQL and LTPD to assess if the chips meet the required quality standards.

6. Provide feedback to the manufacturing and assembly departments based on the results, taking necessary actions if the quality standards are not met.

By following this sampling plan, the electronics firm can ensure that the LSI circuit chips meet the required quality standards and are suitable for use in analog devices.

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The magnitude of the linear acceleration of the pack can be calculated using the following equation:a = (T - Fr) /m where a is the magnitude of the linear acceleration of the pack,T is the tension force of you on the pulley,Fr is the frictional force, and m is the mass of the pack.Substitute the given values to the formula:a = (T - Fr) / ma = (266.3 - Fr) / 23.4.

The frictional force can be determined using the moment of inertia of the pulley.I = mr²I = 2.85 kg-m²m = I / r²m = 2.85 / 0.43²m = 15.57 kgFr = maFr = 15.57 × aa = (266.3 - 15.57a) / 23.4Solve for a by multiplying both sides by 23.4:23.4a = 266.3 - 15.57a23.4a + 15.57a = 266.3a = 266.3 / 39.97a = 6.66 m/s².

Therefore, the magnitude of the linear acceleration of the pack is 6.66 m/s².If instead of using a pulley with two radii, you were to replace the two radii pulley with a simple pulley of one radius, it will be harder to hold the pack.

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Answer: In places of hot climate it is advised that the outer wall of houses be painted white because white color reflects heat and the houses do not heat up too much.

The twisting or bending of the magnetic lines of flux of the pole pieces is commonly known as magnetic reluctance.

It refers to the opposition of a magnetic circuit to the magnetic flux, which results in the lines of magnetic flux bending or twisting as they move through a medium of varying permeability or cross-sectional area.

This phenomenon is commonly seen in electrical motors and generators, where it can affect the efficiency and performance of the device. It can also applied in the making of sensors, brakes, and shielding.

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Explanation:

It is given that, a batter hits a pop-up to a fielder 93 m away, range of the projectile, R = 93 m

The ball remains in the air for 5.4 s, the time of flight is 5.4 s

Time of flight : \(T=\dfrac{2v\sin\theta}{g}\)

\(5.4=\dfrac{2v\sin\theta}{g}\\\\v\sin\theta=\dfrac{5.4\times 9.8}{2}\\\\v\sin\theta=26.46\)

Maximum height of the projectile : \(H=\dfrac{v^2\sin^2\theta}{2g}\)

We need to find H.

So,

\(H=\dfrac{(v\sin\theta)^2}{2g}\\\\H=\dfrac{(26.46)^2}{2\times 9.8}\\\\H=35.72\ m\)

So, it will rise to a height of 35.72 m.

Explanation:

F = ma

F = (60.0 kg) (250 m/s²)

F = 15,000 N

During a crash, a dummy with a mass of 60 kg hits an airbag, then the airbag will exert 15,000 N force on the dummy.

The rate of change in an object's velocity concerning time is known as acceleration in mechanics. The vector quantity of accelerations. The direction of the net force that is acting on an object determines its acceleration.

Since acceleration has both a magnitude and a direction, it is a vector quantity. Velocity is a vector quantity as well. The definition of acceleration is the change in velocity vector over a time interval divided by the time interval.

There are several types of acceleration :

According to the question, the given values are :

Mass, m = 60 kg

Acceleration, a = 250 m/s²

F = ma

F = (60.0 kg) × (250 m/s²)

F = 15,000 N

Hence, the force exerted by the airbag will be 15,000 N.

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