a jeweler's eyepiece generates magnifications of 20x. what is the size of the image of a 0.5mm gem?

A radioactive isotope's half-life is the length of time it takes for one half of it to decay.

The period of time it takes for half of a radionuclide's radioactive atoms to decay is known as the half-life. A good rule of thumb is that you will have less radiation than 1% of the original amount after seven half-lives.

A half-life is the amount of time it takes for something to go from 100% to 50%. The term is most usually used to describe radioactive decay, which occurs when unstable and energetic atomic particles lose momentum. 29 components have been demonstrated to be able to go through this procedure.

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The ball's change in momentum on the bounce will be "0.308 kg.m/s."

Since linear momentum is mv, it varies with each bounce by the same quantity, r = R. For instance, if a ball bounced 80% of its height each time, it would lose 20% of its energy.

Velocity and Motion

The answer is that the mass of a baseball is m = 0.140 m.

-1.20 m/s is the downward speed.

Upward speed, v "= 1 m/s

Since we are aware of the momentum, P = mv

The force acting downward is: = mv'

When the data are put together, Pv = 0.140 (-1.20) Pv = -0.168 kg.m/s

The forward motion is now: = mv "Pv = 0.140 kg/s/s Pv = 0.140 kg/s/s

Therefore, the modification will be: = 0.140 - (-0.168)

Pv-Pu = 0.308 kg/m/s

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Answer:

   [tex]4 m/s^{2}[/tex]

Explanation:

You can use the formula a = (v2 - v1)/t, where a is the acceleration, v1 is the initial velocity, v2 is the final velocity, and t is the time interval.

In this case, v1 is 0 m/s (since the car starts at rest) and v2 is the final velocity of the car after it travels 100 m in 5 seconds. You can use the formula v = d/t to find the final velocity, where v is the velocity, d is the distance traveled, and t is the time taken. Plugging in the given values, you get:

v = d/t

= 100 m / 5 s

= 20 m/s

Now you can plug in the values for a, v1, v2, and t into the formula to find the acceleration:

a = (v2 - v1)/t

= (20 m/s - 0 m/s)/5 s

= [tex]4 m/s^{2}[/tex]

The correct answer is B) partially inelastic. If the masses of the blocks and the velocities before and after being given then The collision is partially inelastic.

To determine the character of the collision, you need to compare the kinetic energy before and after the collision. If the kinetic energy is the same before and after the collision, the collision is elastic. If the kinetic energy is less after the collision, the collision is inelastic. If the kinetic energy is greater after the collision, the collision is not possible because energy cannot be created or destroyed, it can only be transformed from one form to another.

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The length of the semi-major axis of the new planet will be 22.3 AU.

As per Kepler's law of period:

The square of a planet's period of revolution around the sun in an elliptical orbit is precisely equal to the cube of its semi-major axis.

Mathematically, we can write it as:

The period of a planet's orbit (P) squared is equal to the size of the semi-major axis of the orbit (a) cubed when it is stated in astronomical units because [tex]P^2 = a^3[/tex] according to Kepler's Third Law.

For earth T=1 year

r=1 AU

let us assume that [tex]r_p[/tex] is the radius of the new planet.

For new planet; [tex]T_p[/tex] = 105 years

Using Kepler's 3rd law:,

We can write it as:

[tex]\frac{T^2}{T_p^2}=\frac{r^3}{r_p^3} \\\\\Rightarrow\left(\frac{1}{105}\right)^2=\frac{(1)^3}{\left(r_p\right)^3}=0.0000907 \\\\\Rightarrow r_p=\left(\frac{1}{0.0000907}\right)^{\frac{1}{3}}\\\\=22.257 \mathrm{AU} \\[/tex]

Approximately 22.3 Years.

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The period of the motion will be equal to 0.39s.

The period of the circular motion can be described as the time taken for the object to complete one revolution around the circle and is commonly denoted by the symbol 'T'.

Given, the speed of the ball, v = 4 m/s

The radius of the ball, r = 0.25 m

The relation between the speed, radius of the circular path, and time period:

V = Rω

V = R (2π/T)

V = 2πR/T

4 = 2×3.14 × 0.25/T

T = 0.39 s

Therefore, the period of motion is equal to 0.39s.

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It take to reach merging speed at 70mph is 10.6 s

You should be travelling at or close to the speed of the oncoming traffic when merging into the motorway. It's acceptable if you move a little more slowly, but the goal is to prevent traffic congestion. To increase your speed and enable a seamless traffic merge, take use of the time you have on the ramp or in the merging lane.

Step one:

given data

acceleration, a= 14ft/sec^2

final velocity v= 70mph

first, let is convert mph to ft/sec

1mph is 1.46667 ft/sec

70 mph is x

cross multiply we have

x= 102.7ft/s

Step two:

we are using the first equation of motion

v=u+at

initial velocity u= 0m/s

102.7=0+14*t

102.7=14t

divide both sides by 10

t=10.6seconds

Therefore It take to reach merging speed at 70mph is 10.6 s

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The sound energy directly depends upon the density of the medium. The correct option is A. When particles are compressed, sound waves are transmitted. The energy is exchanged more quickly the closer the particles are to one another.

The pattern of disturbance brought about by the movement of energy as it spreads from the source of the sound across a medium is known as a sound wave.Pressure waves and item vibrations, as those from a ringing phone, create sound waves.

Four main elements make up a sound wave: wavelength, period, amplitude, and frequency.

Sound waves are known as longitudinal waves because they are created by compressions and rarefactions in the air. In a path parallel to the propagation direction, air molecules vibrate.The distance between the particles increases with the speed of energy transfer. As a result, the relationship between sound energy and medium density is linear.

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Minimum operating frequency or the cut off frequency for a rectangular waveguide is given by: f c = c 2 m 2 a 2 + n 2 b 2. a = length of the waveguide. b = height of the waveguide. m,n = modes of operation.

What is a wavelength?

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Yes, the weight on the boat matters because it decides whether the boat will sink or float.

Yes, the weight that is present on the boat matters because it will decide that if the boat will sink in the water or float on the water.

We know that the Archimedes principle says that there is an upward force acting on the boat that is equal to the weight of the fluid displaced by the boat.

So, if the weight present on the boat is greater than the buoyancy of the boat, the boat will sink but if the weight present on the board is less than the buoyancy of the boat, the boat will sink.

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ODE solver ode15s does non-stiff problems more slowly than ode45, but it performs stiff problems more quickly. almost always The solver you should use initially is ode45. If there are rough tolerances or moderate stiffness present, ode23 may perform better than ode45.

The ODE solvers' preferred function is often ODE45. In order to calculate step size and estimate error, it compares approaches of orders four and five. Because ODE45 is so precise, using its interpolant to produce results at intermediate points is its default practice.

In cases of tight tolerances or when evaluating the ODE function is very costly, ode113 might be more effective than ode45. ODE 113 is a multistep solver; in order to calculate the current solution, it typically needs the solutions at several earlier time points.

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The total change of momentum of the mass is 80.016 kgm/s approximately 80 kgm/s.

The product of the mass and the change in velocity determines the change in momentum.

Since the mass is a constant, it stays the same.

A shift in momentum is caused by a change in velocity.

The letter " Δp" stands for the change in momentum.

As per the question, Net force = 10 N

Mass of the object = 6.0 Kg.

Time = 8.0 Sec.

As per Newton's first law of motion:

v=u+at, where, v = final velocity

u = initial velocity

a = acceleration

t = time

So, we can write it as:  vf - vi = at (vf= final velocity, vi=initial velocity)---(i)

Applying Newton's second law

F = ma.

So, 10 = 8*a => a = 1.667 m/s^2.

So, from (i),

vf - vi = 1.667 x 8 = 13.336 m/s ---(ii)

So, change in momentum M = m(vf - vi)

Where M is a change in momentum, m is mass

So, the value of change in momentum will be

M = 6 x 13.336 = 80.016 kgm/s approximately 80 kgm/s.

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The following relationship between impulse and momentum enables for the proper outcome to be determined: The average force Impulse falls as impact time increases.

The impulse, which is connected to the fluctuation in the quantity of movement, is calculated by multiplying the applied force by the time interval. I=F dt =p =m v f - m v0

When I is the impulse, F is the applied force, t is the time, p is the momentum, m is the mass, and v is the body's velocity, all of which are vectors. When the body stops, its speed is zero, and the height of the body affects how quickly it strikes the foam bed. A certain amount of force must be applied in order for someone to be hurt.

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Answer:

5.05 sec

Explanation:

h = 1/2gt²

solve for t:

t² = (2h)/g

t = √(2h)/g = √((2)(125 m)) / (9.8 m/s²) = 5.05 s

The control in the experiment is option B. The group that is given no shock.

The method utilized by the researcher in scientific study to reduce the impact of unimportant factors is known as experimental control. The power of the independent variable to alter the dependent variable is further strengthened by experimental control. 9 Nov 2021

A controlled experiment is a scientific test carried out under predetermined circumstances in which only one (or a small number of) variables are altered at a time while all other variables are maintained constant.

Researchers use experimental controls to reduce the impact of unrelated experience and environmental factors, as well as to strengthen the conclusion that changes in the dependent variable are caused by the independent variable (the ability to infer causality).

Hence, option B is correct as it is not receiving any special treatment in the experiment.

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Answer:

Resting against a wall.

Lying down.

Aircraft in a steady-flight.

The force on the vehicle is 500000 N means that a force of 500000 N is being applied to the vehicle and its momentum is changing at a rate of 500k kg m/s²

Well, we all know Force is equal to the product of mass and acceleration. Force is nothing but, a measure of the rate of change of momentum of an object. When we say the force acting on any particle is x newtons, we mean that the particle is accelerating at x/m meter per square second at that instant  (where m is the mass of the particle). In this case, we have been given that the force applied on the vehicle is 500000 newtons. 500000 newtons can be also written as 500k Newtons. So when we are applying a force of 500k Newtons on the vehicle, in this case, we can't really find the acceleration of the vehicle as no mass is given. But we can tell one thing here, that is, a force of 500k Newtons on the vehicle means that at that particular instant the rate of change of momentum is

500k kg m/s².

So, basically, a force of 500k Newtons means that the rate of change of momentum is 500k kg m/s².

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A wave's duration, T, is 13 seconds if its frequency, f, is 3 Hz.The wavelength is 5 meters long.This indicates that wave moves 5 m in one interval.

Sounds in air at a frequency of one hertz (Hz):340 m A:These molecules are already flowing in the direction of the source in response to the loudspeaker membrane's inward motion.

A blue light LED chip, a green light LED chip, as well as a red fluorescent film are employed as light sources and a light transition layer, respectively, in a three spectrum organic light - emitting diode (LED) arrangement.

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e. The closest planets to the Sun should be rocky, and we do indeed see them there.

The nebular theory, however, states that a clouds will rotate quickly once it becomes relatively tiny.

The nebular theory proposes that a rotating cloud of material called a nebula, composed primarily of light components, flattened into the a protoplanetary disk and developed into a solar system made up of a star and circling planets.

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The closest planets to the sun should be ice, and we do indeed see icy worlds. The relationship between the nebular hypothesis of the solar system's creation is described in those sentences.

The planetary Venus, Mercury, Earth, Mars, Planets, Jupiter, Saturn, and Neptune are all part of our solar system, as are dozens of moons, hundreds of meteors, meteorites, and gaseous planets, as well as Pluto, a dwarf planet.

The Solar System is the only system in which a habitable planet has been observed, the one and only star mankind can observe up close, and the only planets we can explore with spacecraft. Research into the solar system is crucial for comprehending the evolution of planetary.

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a) Speed on the second floor is equal to 3.90 m/s

b) Water pressure on the second floor is 240000 Pa.

In fluid dynamics, Bernoulli's principle can be described as an increase in the speed of fluid occurring simultaneously with a decrease in static pressure or the fluid's potential energy.

The constant can be normalized in the Bernoulli equation. A common approach is total head or energy head H:

[tex]{\displaystyle H=z+{\frac {p}{\rho g}}+{\frac {v^{2}}{2g}}=h+{\frac {v^{2}}{2g}},}[/tex]

a) speed on the second floor can be calculated as:

[tex]Q_1=Q_2[/tex]

[tex]A_1V_1=A_2V_2[/tex]

[tex]\displaystyle \frac{\pi }{4}(d_1^2) \times V_1 = \frac{\pi }{4}(d_2^2) \times V_2[/tex]

[tex](2.5)^2\times 0.90 =(1.2)^2\times V_2[/tex]

V₂= 3.90 m/s

b) water pressure on the second floor can be calculated as:

[tex]{\displaystyle {\frac {P_1}{\rho g}}+{\frac {V_1^{2}}{2g}}+h_1 = {\frac {P_2}{\rho g} +{\frac {V_2^{2}}{2g}}} +h_2[/tex]

[tex]{\displaystyle {\frac {170\times 1000}{9.80\times 1000}}+{\frac {(0.90)^{2}}{2\times 9.80}}+7.6 = {\frac {P_2}{\rho g} +{\frac {(3.90)^{2}}{2\times 9.80}}}[/tex]      here  [tex]h_1-h_2 = 7.6[/tex]

[tex]{\displaystyle {\frac {P_2}{\rho g} = 24.215[/tex]

P₂ = 240000 Pa

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The area on contact between the surfaces and the type of the bodies both affect how much friction there . Rolling has a smaller area of contact than sliding does, and rolling friction is lower than sliding friction.

For kids, what does sliding friction mean?

When things slide over a surface, there is friction called sliding friction. Static friction is more powerful than sliding friction. Because of this, it's simpler to move a furniture item once it's started moving that it is to stop it from moving.

What is the name for a sliding force?

There may still be friction between the surfaces even when they are moving past one another; this sliding friction is known as a kinetic friction coefficient.

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The time required for the toy boat to reach the opposite bank of the stream is 20 seconds.

To solve this problem, you need to use the concept of vector addition to find the net velocity of the toy boat relative to the ground. The net velocity of the toy boat is equal to the velocity of the current plus the velocity of the toy boat relative to the current.

The velocity of the current is 1.5 meters per second southward, and the velocity of the toy boat is 2.0 meters per second eastward. When these velocities are added vectorially, the resulting net velocity is 2.6 meters per second at an angle of 63.4 degrees east of south.

To find the time required for the toy boat to reach the opposite bank of the stream, you can use the distance traveled and the speed to calculate the time using the equation t = d/s, where t is the time, d is the distance, and s is the speed.

The distance traveled is 30 meters (the width of the stream), and the speed is 2.6 meters per second. Plugging these values into the equation gives you a time of t = 30 meters / 2.6 meters per second = 11.54 seconds. Rounding up to the nearest whole number gives you a time of 20 seconds.

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The total electric potential due to these charges at the  center is 9 * 10^5 J/C.

V = k × [q/r]

V = electric potential energy.

q = point charge.

r = distance between any point around the charge to the point charge.

k = Coulomb constant; k = 9.0 × 10^9 N.

at  The center (0,0)

r = 4 cm

due to Q1

v1= k ( 2.00 μC/ 4 * 10^-2) = 9.0 × 10^9 * 0.5* 10^-4 =4.5 * 10^5 J/C

due to Q2

v2 = k ( 2.00 μC/ 2 cm) = 9.0 × 10^9 * 1* 10^-4 =4.5 * 10^5 J/C

total potential at (0.0) = 9 * 10^5 J/C

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Answer:

An atom is the smallest amount of matter that undergoes chemical changes. The accepted theory today is that the atom is composed of a positively charged nucleus made up of protons and neutrons, collectively known as a nucleon, around which is a cloud of negatively charged electrons.

Different experiences have allowed us to measure the size of atoms. Considered as a sphere, the atom has a radius of about 10-10 m and the nucleus has a radius of about 10-14 m. From this it can be deduced that the nucleus is about 10,000 times smaller than the atom.

They are organized and classified based on their atomic numbers, chemical properties, and electronic charge on the periodic table. Atoms are made up of smaller parts called subatomic particles, which include protons, neutrons, and electrons.

Explanation:

:)

Answer:

If the coefficient of kinetic friction between a 26 kg crate and the floor is 0.34, the required horizontal force to move the crate at a steady speed is 86.6 Newton.

Steady speed means the acceleration is zero.

According to the Newton's first law of motion, to produce a motion with zero acceleration, the net force must be equal to zero.

In the problem, the forces are the horizontal force and the friction force.

Hence, the net force is:

∑F = 0

Fh - friction = 0

Fh - μ . mg = 0

Where:

Fh = horizaontal force

m = mass of the crate = 26 kg

g = acceleration due to gravity = 9.8 m/s²

μ = coefficient of kinetic friction = 0.34

Plug all the parameters into the equation,

Fh - 0.34 x 26 x 9.8 = 0

Fh = 86.6 N

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The most prevalent, deadly hereditary disease in the US is cystic fibrosis (CF). disorders brought on by a gene mutation. Think about sickle cell disease.

Genetic conditions. Crohn's disease. CF. Dysplastic fibrosis Cirrhosis liver fibrosis disease Brain, Nerves, and Spine When your genes or chromosomes undergo a mutation, genetic illnesses result. While some illnesses manifest symptoms from birth, others do so over time.

There are four primary categories: illnesses with a single gene. hereditary inheritance illnesses with multiple factors. aberrant chromosomes. diseases caused by mitochondrial genetic inheritance. Chromosome abnormalities occur when one or more chromosomes (or chromosome segments) are absent or altered.

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An object's momentum may be calculated mathematically by multiplying its mass by its velocity. Mass plus velocity equals momentum.

Mass in motion, which is related to the mass of a moving body, is the straightforward definition of momentum. By multiplying the mass with the velocity, the amount of motion is calculated. Momentum is defined as the result of multiplying mass and velocity.

According to a mathematical formula, an object's momentum is determined by multiplying its mass by its speed. Mass multiplied by velocity equals momentum. Momentum is represented by the lower case letter p in physics. As a result, p = m • v may be used to rewrite the previous equation.

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The dielectric constant of water is 1.760.

The relative permittivity or quantity of charge needed to generate one unit of electric flux in a particular medium is known as the dielectric constant.

We are given that,

Speed of light = c = 3 × 10⁸m/s

Speed of light drops in water= V = 2.26 × 10⁸ m/s .

The dielectric constant of water (k) can be calculated as,

v = c/√K

K = (c/v)²

K =(3 x 10⁸ / 2.26 x 10⁸)²

K = 1.760

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The minimum coefficient of friction needed to keep the car from crashing down is 16.3. That's mean the friction force between the tires and the surface of the wall of death must be at least 16.3 times greater than the normal force acting on the car.

The minimum coefficient of friction needed to keep the car from crashing down is determined by the forces acting on the car. When a car is driving in a circle, it is constantly being pulled outward by a force called centrifugal force. This force is equal to the mass of the car multiplied by the square of its speed, divided by the radius of the circle it is driving in. In order to keep the car from crashing, the friction force between the tires and the surface of the wall of death must be greater than or equal to the centrifugal force.

The formula for the minimum coefficient of friction needed is:

μ = Fcentrifugal / Fnormal

where μ is the coefficient of friction, Fcentrifugal is the centrifugal force acting on the car, and Fnormal is the normal force acting on the car.

To calculate the minimum coefficient of friction needed, you need to first calculate the centrifugal force acting on the car. The formula for this is:

Fcentrifugal = [tex]mv^2 / r[/tex]

where m is the mass of the car, v is the speed of the car, and r is the radius of the circle.

Plugging in the values from your question, the centrifugal force is:

Fcentrifugal = [tex](800 kg) * (80 km/h)^2 / (5 m)[/tex]

= 128,000 N

The normal force is equal to the weight of the car, which is the mass of the car multiplied by the acceleration due to gravity. The weight of the car is:

Fnormal = (800 kg) * (9.8 m/s²)

= 7,840 N

Plugging these values into the formula for the minimum coefficient of friction, we get:

μ = 128,000 N / 7,840 N

= 16.3

Thus, the minimum coefficient of friction is 16.3.

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The wavelength of the fundamental string vibration is 0.64 m and the wavelength of the sound wave produced is 0.77 m. This difference is due to the change in speed of the sound wave in air and in the string.

Sound wave is a mechanical wave moves through a medium only. The frequency of a sound wave is called its pitch and it is the number of wave cycles obtained per unit time.

The wavelength for the fundamental frequency is = 2L

= 2 × 0.32 = 0.64 m

Now the speed of the sound waves in air = 340 m/s

frequency = 440 Hz or s⁻¹.

Thus, the  wavelength of sound wave = speed/ frequency

= ( 340 m/s)/  440 Hz = 0.77 m.

This change in wavelength from that of the  fundamental vibration is due to the change in speed of sound waves in different mediums.

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