A Telescope is an optical instrument that aids in the observation of remote objects by collecting electromagnetic radiation (such as visible light). The name "telescope" covers a wide range of instruments. Most detect electromagnetic radiation, but there are major differences in how astronomers must go about collecting light (electromagnetic radiation) in different frequency bands. In the following questions, we are going to apply concepts of diffraction to understand how a telescope works.
a) An optical telescope is a telescope that gathers and focuses light, mainly from the visible part of the electromagnetic spectrum, to create a magnified image for direct view, or to make a photograph, or to collect data through electronic image sensors. The JWST space telescope has a diameter of 6.5 meters. Suppose a filter is used to collect only light with a wavelength of 500 nm. According to the Rayleigh criterion, what is the best angular resolution it can achieve? Activate

Answer:

The new kinetic energy is 9 times of the initial kinetic energy.

Explanation:

The kinetic energy of an object is given by the formula as follows :

\(E=\dfrac{1}{2}mv^2\)

Where

m is mass and v is speed of the body

If the speed of the body is tripled. Let v' is the new speed, v' = 3v. The new kinetic energy is E' and it is given by :

\(E'=\dfrac{1}{2}mv'^2\\\\\text{Put v' = 3v}\\\\E'=\dfrac{1}{2}m\times (3v)^2\\\\=\dfrac{1}{2}m\times 9v^2\\\\=9\times (\dfrac{1}{2}mv^2)\\\\E'=9\times E\)

Hence, the new kinetic energy is 9 times of the initial kinetic energy.

Answer:

Place some smooth tiles under the dresser

Smooth surfaces, like smooth tile, are easy to slide over. They create very little friction. Rough surfaces like carpet create much more friction.

remove the drawers from the dresser

Weight affects friction in that friction is directly proportional to the weight of the load one is moving. So reduce the weight, reduce the friction.

Explanation:

Speed does not impact friction, so moving the dresser slower won't help. Wind has nothing to do with the scenario, so that's not a correct option.

A body temperature of 99.68 Fahrenheit is considered a mild fever, as it is above the normal range of human body temperature, which is around 98.6 Fahrenheit (37 Celsius).

Temperature is a physical quantity that measures the degree of hotness or coldness of an object or a substance relative to a reference point. It is a measure of the average kinetic energy of the molecules in a system, which is related to the speed and movement of the molecules. Temperature is usually measured using a thermometer, which contains a substance that expands or contracts in response to changes in temperature. The most common temperature scales are Celsius (°C) and Fahrenheit (°F). In science, the Kelvin (K) scale is also commonly used, which is an absolute temperature scale that starts at absolute zero (-273.15°C or -459.67°F) and has no negative values. Temperature is an important physical parameter that affects many physical, chemical, and biological processes, including the behavior of gases, the melting and boiling points of substances, the rate of chemical reactions, and the function of living organisms. For example, changes in body temperature can indicate illness or disease, while changes in the temperature of the Earth's atmosphere can affect weather patterns and climate.

Here,

To convert Celsius to Fahrenheit, you can use the formula:

°F = (°C × 1.8) + 32

So to convert 37.6 Celsius to Fahrenheit, we plug in the value of 37.6 for °C:

°F = (37.6 × 1.8) + 32

°F = 99.68

Therefore, 37.6 Celsius is equivalent to 99.68 Fahrenheit.

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The spectral lines would appear shifted towards the red end of the spectrum.

Spectral lines :

When the light of a star is separated into its various colors, it is known as a spectrum.

Each element produces a characteristic set of lines at specific wavelengths, known as its spectral lines, when it is heated to a high temperature.

If a substance's spectrum is split into a band of light, the band will contain dark lines at particular wavelengths, referred to as spectral lines.

Spectral lines can be used to determine the composition, temperature, and motion of stars.

When the same two elements were detected in a distant star that was moving away from Earth, the spectral lines would appear to be shifted toward the red end of the spectrum.

This phenomenon is known as redshift.

Redshift is a phenomenon in which the wavelength of light emitted by an object moving away from an observer is stretched, resulting in a shift towards the red end of the spectrum.

It happens because the object's motion is causing the wavelength of the light waves to become longer as they travel through space.

It is due to the Doppler effect, which results in a shift in the wavelength of the light that is emitted or absorbed by a celestial object.

The Doppler effect is the change in frequency or wavelength of a wave in relation to an observer's motion.

When an object is moving closer to an observer, it appears to have a higher pitch or shorter wavelength.

When the object is moving away from the observer, it appears to have a lower pitch or longer wavelength.

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Answer:

11.85 k

Explanation:

11.85 k

the answer will be 8 meters

Answer:

Ships can float because a ship is less dense than that of the water that it floats on.

Explanation:

Hope this helps!

The energy consumption per hour of the heater is 9 kJ/hour and the energy consumption per hour of the electric motor is 3 kJ/hour.

Let's denote the energy consumption per hour of the heater as "h" and the energy consumption per hour of the electric motor as "m".

From the first piece of information, we can set up the equation:

2h + 4m = 25 (equation 1)

Similarly, from the second piece of information, we can set up another equation:

3h + 2m = 18 (equation 2)

We now have two equations with two unknowns, which we can solve using algebraic methods. Multiplying equation 2 by 2 and subtracting it from equation 1 multiplied by 3, we get:

(3h + 6m) - 2(3h + 2m) = 25(3) - 18(2)

Simplifying this expression, we get:

h = 9

Substituting this value of h into equation 2, we get:

3(9) + 2m = 18

Simplifying this expression, we get:

m = 3

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Answer:

To holds the legs apart without rupturing any vein

Explanation:

The purpose of using string to tie the forelegs and hind legs during dissection is to hold the legs apart without rupturing ant vein or artillery for easy dissection procedure( the dismembering of the body of a deceased animal or plant to study its anatomical structure)

when tieing the forelegs and the hind legs the same string is used to tie them and the string is then passed/looped under the dissecting table/tray this way the legs will be held apart and the dissection can commence.

The time of motion of the bullet is 0.064s.

The horizontal speed of the bullet is 781.25 m/s.

The time of motion of the bullet is the time taken for the bullet traveled from its initial position to the final position and it is calculated as follows;

h = vt + ¹/₂gt²

where;

0.02 = 0 + ¹/₂(9.8)t²

0.02 = 4.9t²

t² = 0.02/4.9

t² = 0.0041

t = √0.0041

t = 0.064 s

The horizontal speed of the bullet is calculated using the following formula shown below;

X = Vₓt

where;

Vₓ = X/t

Vₓ = (50 m) / (0.064)

Vₓ = 781.25 m/s

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When a ferromagnetic material is placed in an electromagnetic coil and a magnetic field is applied, the magnetic induction (B) is increased.

Therefore, the correct answer is:

(a) There is a large increase in the magnetic induction (B)

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The correct answer is 16.19 revolutions.

Let the home plate is 18.3 m (60 ft) from the pitching mound and that the baseball travels at a constant velocity.

Given that,

Velocity of ball = v = 37.3 m/s

Spin rate of ball = 33 revolutions/s

Distance between home plate and pitching mound = s = 18.3 m

We need to find the number of revolutions it complete before reaching home plate. It can be calculated as follows:

n = 33 * (18.3/37.3)

n = 16.19

So, there are approximately 16 revolutions.

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Answer:

nicotine

Explanation:

Answer:

speed = 20 m/s

Explanation:

speed = frequency * wavelength

speed = 4 * 5

speed = 20 m/s

The kinematics to find the time to go from the office to the living room is: 2.81 s

Given Parameters

To find

Kinematics allows us to find the relationships between the position, velocity and acceleration of bodies, let's use the relationship  

             x = v₀ t + ½ a t²

Where x is the position, v₀ the initial velocity, at acceleration and t the time

In this case, as he leaves the office, the initial velocity is zero.

           x = ½ a t²

            t = \(\sqrt{\frac{2x}{a} }\)

Let's calculate

           t = \(\sqrt{\frac{2 \ 125}{4} }\)

          t = 2.81 s

In conclusion, using the kinematics, we find that the time to go from the office to the classroom is: 2.81 s

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The stored elastic potential energy decreases.

When we compress a spring, we apply a force that compresses the coils of the spring closer together. This causes the spring to store elastic potential energy, which is the energy that the spring possesses due to its deformation. This potential energy is a form of mechanical energy that can be converted into other forms of energy, such as kinetic energy or thermal energy.

When the compressed spring is released, the stored elastic potential energy is converted into kinetic energy as the spring expands and the compressed coils of the spring move apart hence the store elastic potential energy decreases.

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The average force exerted by the car hood on the water is 0.875 N.

The definition of force in physics is: The push or pull on a massed object changes its velocity.

An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude. A spring balance can be used to calculate the Force. The Newton is the SI unit of force.

the average force exerted by the car hood on the water

= 0.0250 × 35 × 1 N

= 0.875 N

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In Chapter 10 of the book Leader Within You 2.0 by Maxwell, the author emphasizes on the importance of persistence. He highlights that persistence is necessary for attaining success in any area of life. It is particularly important for leaders who are looking to bring change or innovate.

Persisting through challenges and obstacles is crucial because it is inevitable that these challenges will arise. Maxwell provides various examples of famous leaders who persisted through difficult times. He notes that leaders should not be discouraged by failure and that they should use it as an opportunity to learn from their mistakes and grow

Additionally, leaders should not be afraid to take risks because it is impossible to achieve success without taking risks. Maxwell concludes the chapter by emphasizing that persistent people never give up and that persistence is key to reaching success.

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Answer:

0.011

Explanation:

In the above diagram, the net force is 10 Newtons to the right, with an acceleration of 5 m/s².

The net force acting on an object is the sum or resultant force on the object. The net force acting on the given object is obtained by summing all the forces acting on the object in the same direction.

The upward force on the object = 7 N. The downward force on the object = 17 N. The net force on the object:

= 17 N - 7 N

= 10 N.

The acceleration of the object is calculated by applying Newton's second law of motion as follows;

F(net) = ma

where;

m is the mass of the object = 2 kg

a is the acceleration of the object = ?

F(net) is the net force on the object

a = F(net) / ma

= (10 N) / (2 kg)a

= 5 m/s²

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To double the gravitational force between the two blocks, double the mass of the blocks and keep the distance between constant.

The given parameters;

The gravitational force between the two mass is calculated by applying Newton's law of universal gravitation as follows;

\(F = \frac{Gm_1 m_2}{r^2}\)

The magnitude of the gravitational force increases with increase in the mass of the blocks and decreases with increase in the distance between the blocks.

To double the gravitational force between the blocks, double the mass of the blocks;

\(F = \frac{G(2m_1)(2m_2)}{r^2} \\\\F = 2 \times \frac{Gm_1 m_2}{r^2}\)

Thus, to double the gravitational force between the two blocks, double the mass of the blocks and keep the distance between constant.

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Answer:

25.632 m²

Explanation:

area = a*b

area = 3.2m * 8.01m

area = 25.632 m²

Explanation:

\(3.2 \times 8.01 = 25.632\)

Answer:

0.72 kg per cubic m

Explanation:

Mass = 14.4 kg

Volume = lbh = 4*1*5 = 20 cubic m

\( \because \: density \\ \\ = \frac{mass}{volume} \\ \\ = \frac{14.4}{20} \\ \\ = 0.72 \: kg {m}^{ - 3} \)

The force field F(p) = -(k/p^2)e represents an inverse square force law, where k is a constant and p is the radial distance from the origin. To find the angular frequency of polar vibrations around stable circular motion, we can consider the equation of motion for a particle in a circular orbit.

For circular motion, the centripetal force is given by Fc = mω^2p, where m is the mass of the particle, ω is the angular frequency, and p is the radial distance.Equating the centripetal force to the force field, we have:-
(k/p^2)e = mω^2p
Simplifying, we get:
k/p^3 = mω^2
Taking the square root and rearranging, we find:
ω = √(k/(mp^3))
This is the angular frequency of polar vibrations around stable circular motion.To show that this frequency is equal to the rotational angular frequency of circular motion, we can recall that in circular motion, the rotational angular frequency ω_rot = v/p, where v is the tangential velocity.Since the tangential velocity v = ω_rot * p, we can substitute this into the equation for ω:
ω = √(k/(m * p^3)) = √(k/(m * p^2)) * (1/p)
Using the relation v = ω_rot * p, we can rewrite the expression as:
ω = √(k/(m * p^2)) * (1/p) = √(k/(m * p^2)) * (1/(v/p))
Simplifying, we get:
ω = √(k/(m * p^2)) * (p/v) = v/√(m * k)
This shows that the angular frequency ω is equal to the rotational angular frequency ω_rot. Therefore, the angular frequency of polar vibrations around stable circular motion is equal to the rotational angular frequency of circular motion.

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The characteristics match the Galilean moons of Jupiter as follows:

Io: source of ionized gas in the donut-shaped charged particle belt around Jupiter, hot, glowing lava visible in some photos, and volcanoes currently erupting.

Europa: ice-covered surface with few impact craters, double-ridged surface features strongly suggest a subsurface ocean below.

Ganymede: largest moon in the solar system, heavily cratered terrain adjacent to fairly smooth terrain.

Callisto: entire surface appears heavily cratered and ancient, most distant from Jupiter of these four moons.


Io is known for its volcanic activity, producing ionized gas and glowing lava. Europa's icy surface and double-ridged features suggest the presence of a subsurface ocean.

Ganymede is the largest moon and has a mix of smooth and heavily cratered terrain. Callisto is the most distant and heavily cratered of these moons, indicating an ancient surface.

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The net rates of reaction for all components and the expression for instant selectivity are determined. The concentration of P over time in a batch reactor is derived, and the conditions for maximum concentration of P are discussed based on the rate-determining step.

a. The net rate of reaction for component A is given by -11 = -0.025 mol of A/(L.min), as it is a zero order reaction. The net rate of reaction for component P is given by -12 = K2 * Cp = 0.0075 CP mol of P/(L.min), as it is a first order reaction. The net rate of reaction for component B can be calculated by considering the stoichiometry of the two steps.

The instant selectivity is the ratio of the net rate of production of P to the net rate of consumption of A, which can be expressed as selectivity = -12 / -11.

b. Based on material balances for a batch reactor, the rate of change of concentration of P over time (dCp/dt) can be expressed as (dCp/dt) = -2 * (-12) = 0.015 CP mol/(L.min), using the stoichiometry of the reaction.

c. To determine the conditions for maximum concentration of P, we need to consider the rate-determining step. Since the second step is first order, it determines the overall rate of the reaction. To maximize the concentration of P, we need to maximize the rate of the second step. This can be achieved by increasing the concentration of P or the concentration of B while keeping the other reactants at their initial concentrations.

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Since Alejandro hopes to combine the findings from the collected studies and draw a general conclusion regarding the subject, he is using statistical tool of inference.

There are basically 2 types of statistical tools:

Descriptive tools are used to describe data. They include the use of tables, graphs, measures of dispersion, measures of central tendencies, etc.

Inferential tools are used to deduce conclusions from data. They include measures of significant differences, probability, correlation and regression, etc.

In this case, Alejandro would need to subject the data collected from the 35 studies to inferential statistical analysis tools in order to be able to make relevant conclusions.

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Answer:

B

Explanation:

F = ma        'a'  in this case is the acceleration of gravity (9.81 m/s^2) PLUS the acceleration of the elevator (2 m/s^2 )

F = 60 kg ( 9.81 + 2 ) m/s^2 = 708.6 N    

The women exerts a force of 294N on the floor of cab which is moving upwards with an acceleration of 2 m/s2.

"the question is asking force exerted by woman on the floor of cab and not the net force"

The force exerted by a woman on the floor of the cab is equal to her weight, which is the force of gravity acting on her mass. According to Newton's second law of motion, this force is equal to the product of her mass and acceleration.

So, the force exerted by the woman is given by:

F = m * a = 60 kg * 2 m/s^2 = 120 N

Therefore, the answer is (d) 294 N.

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