what is the power of the eye when viewing an object 50.0 cm away if the lens to retina distance is 2.00 cm?

Answer: Which of these statements is most likely correct about the stars?

Star 2 attracts Star 1 with a greater gravitational force than Star 1 attracts Star 2.

No, because Third Newton Law states that both forces are equal in magnitude.

Earth exerts almost equal gravitation force on both the stars.

No, because the Universal Gravitational Law, estblished by Newton, states the atraction force to two masses is proportional to the product of the masses.

Star 1 attracts Star 2 with a greater gravitational force than Star 2 attracts Star 1.

No (same reason for the first statement)

Earth exerts greater gravitation force on Star 2 than on Star 1.

Right. This is the correct statement. Given the mass of Star 2 is greater than the mass of Star 1, by the Universal Gravitational Law, the earth exerts greater gravitational attraction on Star 2.

Explanation:

:)

Resolving power refers to the ability of a lens to distinguish between two closely spaced objects. It is determined by the wavelength of light and the numerical aperture of the lens.

Magnifying power, on the other hand, refers to the ability of a lens to enlarge the size of an object. It is determined by the focal length of the lens.
The term "parfocal" refers to a type of lens system where multiple lenses have the same focal point when the focus is adjusted. This means that when switching between different lenses, the focus remains the same, making it easier for the user to switch between lenses without losing focus.
Differentiating between the resolving power and magnifying power of a lens involves understanding their respective functions. Resolving power refers to the ability of a lens to distinguish between two closely spaced objects, or in other words, the clarity with which the lens can produce an image. Magnifying power, on the other hand, refers to the degree to which a lens can enlarge the image of an object.

The term "parfocal" is used to describe a set of lenses that, when interchanged on a microscope or other optical instrument, maintain their focus on the same object. This means that when you switch from one parfocal lens to another, only minimal adjustments to the focus are needed, allowing for a seamless transition between lenses with different magnifying powers.

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Resolving Power: It is the ability of a lens to separate or distinguish between closely spaced objects, reflecting the detail that can be seen with the lens.

Magnifying Power: It denotes how much larger an object appears through a lens compared to its actual size. High magnification doesn't necessarily mean better image quality.

Parfocal: This term refers to lenses that remain in focus even when the magnification or focal length changes. It enables swift adjustments in magnification without needing constant refocusing.

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Answer:

is constant

Explanation:

Energy cannot be destroyed or created, but can transfer from places to places and in different forms.

Answer:

Yes.

Explanation:

Even though the initial and final speeds are the same, there has been a change in direction for the object. Thus, there is an acceleration. The object was moving rightward and slowed down to 0 m/s before changing directions and speeding up while traveling leftward.

Answer:

F=ma

5.2N=26a

a=5.2÷26=0.2

Answer:

0.2 metre square

Explanation:

acceleration=force/mass

Answer:

D. All of the above

Explanation:

Because it's the most logical answer.

Answer:

Pluto

Explanation:

Pluto is now classified as a dwarf planet It used to be a formal planet but not anymore.

The diagram is labelled to DRAW the RESULTANT wave and LABEL the areas of interference with CI, DI and/or points of TDI.

When a light ray falls on the interface of two medium like air and water, then the portion of light is reflected and another portion of the light is refracted into the water medium. The angle of incidence is equal to the angle of reflection but the angle of incidence is larger then the angle of refraction.

Open the attached file. It shows 2 waves (a blue one and an orange one) that are moving through the same medium at the same time.

Thus, the diagram is labelled.

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The frequency of the generator in the uniform magnetic field is determined as 7.1 Hz.

The frequency of the generator is calculated by applying the following formulas as follows;

emf (max) = NBAω

where;

The angular frequency is given as;

ω = 2πf

where;

Our new equation becomes;

emf (max) = 2NBAπf

f = ( emf ) / ( 2NBAπ)

The frequency of the generator is calculated as follows;

f = ( 8 ) / ( 2 x 200 x 0.03 x 0.03 x π )

f = 7.1 Hz

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F12 = k • q1 • q2 / r12²

F12 = (9 × 10⁹) • (7.5 × 10⁻⁶)² / (0.25)²

F12 = 8.1 N

F13 = k • q1 • q2 / r12²

F12 = (9 × 10⁹) • (7.5 × 10⁻⁶)² / (0.25² + 0.25²)

F12 = 4.05 N

F² = F12² + F13² + 2(F12)(F13) cos θ

F² = (8.1)² + (4.05)² + 2(8.1)(4.05) cos 45°

F = 11.33 N

The characteristics of Elements include:

Compounds:

Elements are substances that consist of only one type of atom. This means that all the atoms within an element are the same. Elements are represented by symbols, which are usually derived from their English or Latin names.

Compounds, on the other hand, are substances that are made up of two or more different types of atoms chemically combined together. Unlike elements, compounds have a definite chemical formula that represents the ratio of the atoms present in the compound. These formulas often use the symbols of the elements involved and indicate the number of atoms of each element present in the compound.

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Answer:

Answer:

b, the fastest the car has traveled out of those options is 4-5 seconds.

Explanation:

Answer: B because the car traveled the farthest in the shortest amount of time on the graph.

The formula is dimensionally consistent, the unit of both sides is m/s.

To show that the formula is dimensionally consistent, we need to check that the units of each term on both sides of the equation are the same.

V= √(r÷q)

From the LHS,

V = velocity of sound

The units of velocity is meters per second (m/s).

Moving on to the right-hand side (RHS) of the equation:

√(r÷q)

r = Young's modulus

The units of Young's modulus are force/area, = Pascals (Pa).

q = density

The units of density  is kg/m³

So, the units of the RHS can be simplified as follows:

√(r÷q) = √(Pa/(kg/m³)) = √(kg/m/s²) = m/s

Therefore, the units on both sides of the equation are the same (m/s), indicating that the formula is dimensionally consistent.

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Answer:

Velocity

Explanation:

Objects in motion usually have a speed which is scalar or velocity which is a vector.

A scalar quantity is one with magnitude but has no directional attribute.

A vector quantity is one with both magnitude and directional attribute.

Speed is a scalar quantity that describes the magnitude of motion a body accrues.

Velocity is a vector quantity that describes both the magnitude of motion and the direction of motion in a body.

The maximum speed of the piston when the engine is running at 4200 rpm is approximately 4.12 m/s.

Assume that the piston is undergoing simple harmonic motion with an amplitude of 5 cm (half of the total distance traveled). The period of the motion can be calculated using the formula T = 1/f, where f is the frequency in Hz. At 4200 rpm, the frequency can be converted to Hz by dividing by 60, resulting in a frequency of 70 Hz. Therefore, T = 1/70 = 0.0143 s.
Next, we can use the formula for the maximum speed of an object undergoing simple harmonic motion: vmax = Aω, where A is the amplitude and ω is the angular frequency.

The angular frequency can be calculated using the formula ω = 2π/T, resulting in ω = 440.53 rad/s.
Plugging in the values,

we get,

vmax = 0.05 m x 440.53 rad/s = 22.03 m/s.

However, this is the maximum speed at the center of the piston's motion, which is not the same as the maximum speed of the piston itself.

To find the actual maximum speed of the piston, we need to consider the piston's mass.
Using the formula for the maximum kinetic energy of an object in simple harmonic motion,

we get,

Kmax = (1/2)mv^2 = (1/2)kA^2, where k is the spring constant.

Since the piston is modeled as a spring in simple harmonic motion,

we can use the formula k = mω^2, resulting in k = 9263.13 N/m.

Plugging in the values,

we get,

(1/2)(1.5 kg)vmax^2 = (1/2)(9263.13 N/m)(0.05 m)^2

vmax = 4.12 m/s.
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The correct answer is not listed among the choices.

m = w/g

m = 1,125 / 9.8

m = 114.8 kilograms

Answer:

but for which activity donu need the answer and mention the question clearly

To find the electric field between the two points, we can use the formula. So, the electric field between the two points is approximately 10.57 V/m.

Electric field = Potential difference / Distance between the points
Plugging in the given values, we get:
Electric field = 44.4 V / 4.2 m
Electric field = 10.57 V/m
Therefore, the electric field between the two points is 10.57 V/m.

To find the electric field between two points with a potential difference, you can use the formula:
Electric Field (E) = Potential Difference (V) / Distance (d)
In this case, the two points are 4.2 meters apart and the potential difference between them is 44.4 V. Plugging these values into the formula, we get:
E = 44.4 V / 4.2 m
E ≈ 10.57 V/m
So, the electric field between the two points is approximately 10.57 V/m.

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Students watched a cartoon either alone or with others and then rated how funny they found the cartoon to be.

Independent Variable:  student alone or with others

Dependent Variable:   how funny student thought the cartoon was

Answer:

Independent Variable: Watching cartoon alone or with others

Dependent Variable: how funny they found the cartoon to be

Explanation:

A dependent variable is the variable being tested. The change in the value of dependent variable depends on the independent variable.

An independent variable is used to test the effects on dependent variable and its does not depend on any variable.

In the above example the dependent variable is how funny the cartoon was. This is being tested and it is tested by independent variable i.e. Students watching cartoon either alone or with others. So the cartoon is funny or not depends on watching cartoon alone or with friends.

We will have that the picture that shows the highest average kinetic energy is image B.

Answer:

K.E = 1.13 × 10^5 J

When compared to;

K.E = a.bc X 10^d J

We can observe that;

a = 1

b = 1

c = 3

d = 5

Explanation:

Given;

Mass of rhinoceros m = 1000kg

Velocity v = 15m/s

The kinetic energy of the body at this speed is;

K.E = 0.5×mv^2 ........1

Substituting the values of m and v into equation 1;

K.E = 0.5×1000×15^2

K.E = 112500 J

K.E = 1.13 × 10^5 J

When compared to;

K.E = a.bc X 10^d J

We can observe that;

a = 1

b = 1

c = 3

d = 5

Answer:

A

Explanation:

Because of the convectional currents

Answer:

To calculate the resonant frequency and the wavelength in the ear canal, the formulas for closed cavity resonances can be used:

a. First resonant frequency:

The resonant frequency f n can be calculated from the length l of the ear canal and the speed of sound v as follows:

fn = nv / 4l

where n is an integer representing the number of resonances. For the first resonance (n = 1), the resonant frequency can be calculated as:

f 1 = v / 4l = (340 m/s) / (4 * 2.5 cm) = 272,000 Hz

b. Wavelength at second resonance:

The wavelength λ of the resonant frequency can be calculated from the frequency and speed of sound:

λ = v/f

For the second resonance (n = 2), the resonant frequency is:

f 2 = 2v / 4l = 2 * 272,000 Hz = 544,000 Hz

and the wavelength can be calculated as:

λ 2 = v / f 2 = (340 m/s) / 544,000 Hz = 0.00063 m = 6.3 mm

These calculations are approximate and may vary depending on the shape and acoustic properties of the ear canal.

Answer:65.28

Explanation:

A long string has a standing wave with 2 loops at a frequency. The speed of the waves in the string is 65.28 m/s

The frequency is the number of cycles completed per second.

Given the length of the string l = is 1.70 m, no of loops n =2, frequency of wave f =38.4 Hz, then the speed of the waves is

f = nv /2l

Substitute the following values, we get

v = 38.4 x 2 x 1.70 / 2

v =65.28 m/s

Thus, the speed of the waves in the string is 65.28 m/s.

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One key difference between living on earth and in space is the effect of gravity on the human body. On earth, gravity provides a constant force that keeps our bones and muscles strong. In space, however, gravity is much weaker and astronauts experience weightlessness. This can lead to various health problems, such as bone loss, muscle atrophy, and fluid shifts. Therefore, astronauts need to exercise regularly and follow a balanced diet to maintain their physical and mental well-being.

Gravity is a natural phenomenon whereby everything that has mass or energy in the universe—including planets, stars, galaxies, and even light—attracts one another.

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Answer:

n = 3.1x10¹²

Explanation:

To find the number of electrons we need to find first the charge (q):

\( I = \frac{q}{\Delta t} \rightarrow q = I*\Delta t \)    (1)

Where:

I: is the electric current = 0.59 A

t: is the time

The time t is equal to:

\(v = \frac{\Delta x}{\Delta t} \rightarrow \Delta t = \frac{\Delta x}{v}\)   (2)

Where:

x: is the displacement

v: is the average speed = 2.998x10⁸ m/s

The displacement is equal to the perimeter of the circumference:

\( \Delta x = 2\pi*r = \pi*d \)     (3)

Where d is the diameter = 80.0 m

By entering equations (2) and (3) into (1) we have:

\(q = I*\Delta t = I*\frac{\Delta x}{v} = \frac{I\pi d}{v} = \frac{0.59 A*\pi*80.0 m}{2.99 \cdot 10^{8} m/s} = 4.96 \cdot 10^{-7} C\)      

Now, the number of electrons (n) is given by:

\( n = \frac{q}{e} \)

Where e is the electron's charge = 1.6x10⁻¹⁹ C  

\( n = \frac{q}{e} = \frac{4.96 \cdot 10^{-7} C}{1.6 \cdot 10^{-19} C} = 3.1 \cdot 10^{12} \)

Therefore, the number of electrons in the beam is 3.1x10¹².

I hope it helps you!

1. To find the time when the body reaches the ground, we can use the vertical motion equation:

h = v₀y * t + (1/2) * g * t²

where:

h = height of the tower = 15m

v₀y = initial vertical velocity = v₀ * sin(θ) = 30m/s * sin(30°)

g = acceleration due to gravity = 9.8m/s²

t = time

Plugging in the values:

15 = (30 * sin(30°) * t) + (0.5 * 9.8 * t²)

Simplifying the equation:

15 = 15t * 0.5t² + 4.9t²

Combining like terms:

15 = 7.5t² + 4.9t²

Simplifying further:

15 = 12.4t²

Dividing both sides by 12.4:

t² = 15 / 12.4

Taking the square root of both sides:

t = √(15 / 12.4)

Calculating the value:

t ≈ 1.01 seconds

Therefore, the time it takes for the body to reach the ground is approximately 1.01 seconds.

2. To find the displacement vector, we need to calculate the horizontal and vertical components separately.

Horizontal component:

The horizontal displacement can be calculated using the formula:

x = v₀x * t

where:

v₀x = initial horizontal velocity = v₀ * cos(θ) = 30m/s * cos(30°)

t = time is taken to reach the ground (previously calculated as approximately 1.01 seconds)

Plugging in the values:

v₀x = 30m/s * cos(30°)

t = 1.01 seconds

Calculating the value:

v₀x ≈ 26.02 m/s

Vertical component:

The vertical displacement can be calculated using the formula:

y = v₀y * t + (1/2) * g * t²

where:

v₀y = initial vertical velocity = v₀ * sin(θ) = 30m/s * sin(30°)

g = acceleration due to gravity = 9.8m/s²

t = time is taken to reach the ground (previously calculated as approximately 1.01 seconds)

Plugging in the values:

v₀y = 30m/s * sin(30°)

t = 1.01 seconds

Calculating the value:

v₀y ≈ 15 m/s

Now we have the horizontal and vertical components of the displacement vector:

Horizontal component: x ≈ 26.02 m/s

Vertical component: y ≈ 15 m/s

Therefore, the displacement vector of the body is approximately (26.02 m/s, 15 m/s).

3. To find the angle when the body hits the ground, we can use the vertical and horizontal components of the velocity.

The horizontal component of the velocity, v₀x, can be calculated using the formula:

v₀x = v₀ * cos(θ)

where:

v₀ = initial velocity = 30m/s

θ = angle of projection = 30 degrees

Plugging in the values:

v₀x = 30m/s * cos(30°)

Calculating the value:

v₀x ≈ 26.02 m/s

The vertical component of the velocity, v₀y, can be calculated using the formula:

v₀y = v₀ * sin(θ)

where:

v₀ = initial velocity = 30m/s

θ = angle of projection = 30 degrees

Plugging in the values:

v₀y = 30m/s * sin(30°)

Calculating the value:

v₀y ≈ 15 m/s

Now, to find the angle when the body hits the ground, we can use the inverse tangent function:

θ = arctan(v₀y / v₀x)

Plugging in the values:

θ = arctan(15 m/s / 26.02 m/s)

Calculating the value:

θ ≈ 30.96 degrees

Therefore, the angle when the body hits the ground is approximately 30.96 degrees.

4. To find the maximum height, we can use the vertical motion equation:

h = v₀y² / (2 * g)

where:

h = maximum height

v₀y = initial vertical velocity = v₀ * sin(θ) = 30m/s * sin(30°)

g = acceleration due to gravity = 9.8m/s²

Plugging in the values:

h = (30 * sin(30°))² / (2 * 9.8)

Calculating the value:

h ≈ 27.55 meters

Therefore, the maximum height reached by the body is approximately 27.55 meters.

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