The two objects must be 0.0001488 meters apart in order for the eye to resolve them when using 550 nm light.
The ability of the eye to resolve two objects depends on the angular resolution, which is determined by the wavelength of light and the diameter of the aperture (in this case, the diameter of the eye's pupil).
To calculate the minimum resolvable angle, we can use the formula:
θ = 1.22 * (λ / D)
where
θ = angular resolution
λ = wavelength of light
D = diameter of the aperture.
Given:
Wavelength of light = 550 nm = 550 *\(10^{-9}\) m
Diameter of the aperture (D) = 0.00220 m
Let's calculate the angular resolution:
θ = 1.22 * (550 * \(10^{-9}\) m / 0.00220 m)
≈ 3.072 * \(10^{-6}\) radians
Now, to determine the distance between the objects (d) required for the eye to resolve them, we can use the formula:
d = r * θ
where
r = distance from the eye to the objects.
Given:
Distance from the eye (r) = 48.4 m
Let's calculate the distance between the objects:
d = 48.4 m * 3.072 * \(10^{-6}\) radians
≈ 0.0001488 m
Therefore, the two objects must be approximately 0.0001488 meters (or 0.1488 mm) apart in order for the eye to resolve them when using 550 nm light.
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Microwave ovens rotate at a rate of about 5 revolutions per minute (rpm). This is equal to 0.08 revolutions per second (rps). What is the angular velocity in radians per second? 2π rad = 1 revolution.
The angular velocity in radians per second, given that Microwave ovens rotate at a rate of about 5 revolutions per minute (rpm) is 0.50 radians per second
How do I determine the angular velocity in radians per second?The angular velocity (in radians per second) can be obtained by simply converting 0.08 revolution per second to radians per second. This is obtained as illustrated below:
Angular velocity (in revolution per second) = 0.08 revolution per secondAngular velocity (in radians per second) =?1 revolution per second = 2π radians per second
Therefore,
0.08 revolution per second = 0.08 × 2π
Recall
Pi (π) = 3.14
Thus,
0.08 revolution per second = 0.08 × 2 × 3.14
0.08 revolution per second = 0.50 radians per second
Thus, we can conclude that the angular velocity (in radians per second) is 0.50 radians per second
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_________________________ development refers to vertical growth from the head downward.
Answer:
cephalocaudal
Explanation:
cephalocaudal development means vertical growth of the spine downward.
it consists of development starting at the top of the body and working its way down (from head to feet)
not to be confused with proximodistal.
in proximodistal growth, growth starts from the torso, or the body's center, and moves outwards, to the arms and the legs.
hope this helps:)
which is the real answer
Answer:
i know it's letter A☺️
cause if you placed it on principal axis you can known the answer
Does the amount of energy increase or decrease when the frequency increases in a transverse or longitudinal wave?
The increase or decrease in the amount of energy reflects the relationship between frequency and energy which means that the higher the frequency, the higher the energy.
What is Frequency?Frequency is defined as the number of waves that pass a fixed point in unit time. It is also explained as the number of cycles or vibrations that a body in periodic motion undergoes during a unit time.
\(f = \frac{1}{T}\)
Where, f =frequency
T = period
Thus, the increase or decrease in the amount of energy reflects the relationship between frequency and energy which means that the higher the frequency, the higher the energy.
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A 3.00-kg object is initially moving northward at 15.0 m/s. Then a force of 15.0 N, toward the east, acts on it for 2.70 s.
A) At the end of the 2.70 s, what is the magnitude of the object’s final velocity?
B) What is the direction of the final velocity? Enter the angle in degrees where positive indicates north of east and negative indicates south of east.
C) What is the change in momentum during the 2.70 s? Take +y to be north and +x to be east. Enter a positive answer if the change in momentum is toward the east and a negative answer if the change in momentum is toward the west.
The magnitude of the object’s final velocity, the direction of the final velocity and the change in momentum during the 2.70 s
V=0.1 m/s\(\theta\)=48.0^0 + from east-4.5kgm/s toward westThis is further explained below.
What is the magnitude of the object’s final velocity?F_x=m a_x=15N
f is force
m is mass
a is acceleration
\(&a_x=\frac{15}{3} \\\\ m s^2=5 m_{s^{-2}} \\\)
v_x=0+5 * 2.7
v_x=13.5
v_y=15
\(V=\sqrt{v_x^2+v_{y^2}}\\\)
V=0.1 m/s
b)
\(\tan \theta=\frac{V_y}{V_x} \\\\ =\frac{18}{13.5} \\\\\)
=1.11
\(\theta\)=48.0^0 + from east
c)
Initial momentum,
p_{i x}=0, p_{i y}=m v_y=45 kgmg
final momentum,
P_{f x}=13.5 *3
=40.5kgm
P_{f y}=45Kgm/s
In conclusion, D P_x=P_{1 \text { In }}-P_{i x}=-4.5kgm/s toward west
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An 5-kg animal accelerates from rest to 10 m/s in 10 m and encounters an average drag force of 12 N. What is the average power output in Watts if this takes 2.0 seconds
Answer:
60 watts
Explanation:
Given that
Mass of the animal, m = 5 kg
Velocity of the animal, v = 10 m/s
Distance moved by the animal, d = 10 m
Drag force, F(d) = 12 N
Time taken, t = 2 seconds
To start with, we need to find the power output in itself before proceeding to find the average power output. And as such, we have
Power = Force * Distance/Time
But Distance/Time is velocity, so
Power = Force * Velocity
Power = 12 * 10
Power = 120 W.
We then use this power gotten to find the average power output.
Power(avg) = P/t
Power(avg) = 120 / 2
Power(avg) = 60 Watts.
Therefore, the average power output is found to be 60 Watts
A dielectric block such as shown in Fig. P5.1 is uniformly polarized. The polarization is P. Find the polarization charge density , on the faces 1, 2, and 3. (Find both magnitude and sign of the charge.) P Fig. P5.1
The vector field that expresses the density of induced or permanent electric dipole moments in a dielectric medium is known as polarization density (also known as electric polarization or just polarization).
Thus, A dielectric is considered to be polarized when its molecules acquire an electric dipole moment when exposed to an external electric field.
Electric polarization of the dielectric is the term used to describe the electric dipole moment induced per unit volume of the dielectric material.
The forces that emerge from these interactions can be calculated using the polarization density, which also defines how a material reacts to an applied electric field and how it modifies the electric field. It is comparable to magnetization, which measures a material's equivalent response.
Thus, The vector field that expresses the density of induced or permanent electric dipole moments in a dielectric medium is known as polarization density (also known as electric polarization or just polarization).
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HALP I NEED THE ANSWER!!!! Move on to electric force. Blow up the two balloons and knot them. Then tie a thread onto each balloon. Suspend the two balloons using tape so that they’re about six inches apart, and check that they don’t move or interact. Rub both balloons with wool or fur. If wool or fur is not available, rub the balloons on your hair. Do they attract or repel (push away) each other?
Answer:
Attract
Explanation:
The balloons attract each other due to electrons.
Hope this helps :)
The acceleration produced by a net force on an object is and why?
A.)inversely proportional to the mass of the object.
B.)directly proportional to the magnitude of the net force
C)in the same direction as the net force
D)all of the above
Answer:
A i think
Explanation:
Nitrogen makes up about what percent of a human's body weight?
Answer:
the answer is 3.3 %
Explanation:
How are magnetic fields like vectors?
Answer:Magnetic fields from two sources add up as vectors at each point, so the strength of the field is not necessarily the sum of the strengths1. Magnetic fields are vectors, which means they have direction as well as size. Therefore, the sum of two magnetic fields is not simply the sum of their magnitudes2.
Explanation:
A flat sheet of paper of area 0.450 m2 is oriented so that the normal to the sheet is at an angle of 600 to a uniform electric field of magnitude 18 N C-1. What is the magnitude of the electric flux through the sheet? A. 3.22 N m2 C-1 B. 21.42 N m2 C-1 C. 5.04 N m2 C-1 D. 11.72 N m2 C-1 E. 4.05 N m2 C
The magnitude of the electric flux through the sheet is 4.05 N m² C⁻¹ (Option E).
The electric flux through a surface is given by the product of the electric field strength and the area of the surface projected perpendicular to the electric field.
In this case, the electric field strength is 18 N C⁻¹, and the area of the sheet projected perpendicular to the electric field is 0.450 m²
(since the normal to the sheet makes an angle of 60° with the electric field). Multiplying these values gives the electric flux:
Electric flux = Electric field strength × Area
Electric flux = 18 N C⁻¹ × 0.450 m²
Electric flux = 8.1 N m² C⁻¹
In summary, the magnitude of the electric flux through the sheet is 4.05 N m² C⁻¹. This value is obtained by multiplying the given electric field strength by the projected area of the sheet perpendicular to the electric field.
The angle of 60° is taken into account to determine the effective area for calculating the flux.(Option E).
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Two large parallel metal plates carry opposite charges. They are separated by 0.20 m and the p.d. between them is 500 V. What is the magnitude of electric field, if it is uniform, in the region between them.
Hi there!
We can use the following relationship between the Potential Difference and the Electric field:
\(V = E d\)
V = Potential Difference (500V)
E = Electric Field (V/m)
d = separation between plates (0.2 m)
We can rearrange the equation to solve for the electric field:
\(E = \frac{V}{d}\\\\\)
Plug in the given values.
\(E = \frac{500}{0.2} = \boxed{2500 \frac{V}{m}}\)
Which of the following is a Nobel gas?
Ba2+
OA
OB. Ci
Kr
Ос.
Ca
D.
Answer:
Kr
Explanation:
the element that is in group 18 is noble gasses. the elements are helium (He), neon (Ne), argon (Ar), krypton (Kr), xenon (Xe), radon (Rn), and oganesson (Og).
Question 43
In order for an open switch to cause a short circuit, what must be connected to the rest of the circuit ?
Answer:
a break in the circuit can also cause this problem
An 8.5 kg bowling ball initially at rest is dropped from the top of a building. The ball hits the ground with an acceleration of 9.8 m/s2. Find the net force on the falling ball.
Answer:
The answer is 83.3 NExplanation:
The force acting on an object given it's mass and acceleration can be found by using the formula
force = mass × accelerationFrom the question we have
force = 8.5 × 9.8
We have the final answer as
83.3 NHope this helps you
C.
A palm fruit dropped to the ground from the top of
a tree 45m tall. How long does it take to reach the
ground? A. 9s B. 4.5s C. 6 D. 7.5s E. 35
(g = 10ms2).
Answer:
b 4.5
Explanation:
time=distance/speed
A negative lightning strike occurs when a negatively charged cloud discharges its excess electrons to the positively charged ground. If you observe a cloud-to-cloud lightning strike, what can you say about the charge on the area of the cloud struck by lightning?
1. The area of the cloud that was struck by lightning is neutral.
2. The area of the cloud that was struck by lightning had a positive charge.
3. The area of the cloud that was struck by lightning had a negative charge.
The area οf the clοud that was struck by lightning had a negative charge, sο, οptiοn (d) is cοrrect.
What is electrοns ?The negatively charged atοm's electrοns are respοnsible fοr this. An atοm's tοtal negative charge, which is prοduced by all οf its electrοns, cοunteracts the pοsitive charge οf the prοtοns in the atοmic nucleus.
What is electric charge?Prοtοns and electrοns, which functiοn as charge carriers, frequently carry bοth pοsitive and negative electric charges. By mοving charges, energy is prοduced. Charge—alsο referred tο as electric charge, electrical charge, οr electrοstatic charge—is a prοperty οf a unit οf matter in physics and is denοted by the letter q.
Therefοre, The area οf the clοud that was struck by lightning had a negative charge, sο, οptiοn (d) is cοrrect.
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cheese is made of cheese
Cheese is made of casein protein, which is originally made from milk and is high in protein. The texture of the cheese is determined by the quality of the milk, so cow's milk cheese differs from goat's milk cheese.
What is a dairy product?
Diary products are made from milk, such as cheese, curd, yogurt, etc., but all of them have different nutrients. The quality of these dairy products depend upon the quality of the milk, as some milking animals have a higher concentration of fats in their milk than other animals. These dairy products are used in different industrial sectors, such as for making ice cream, chocolate, and different food products.
Hence, cheese is made up of casein proteins that are present in the milk.
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Imagine a baseball pitcher and a batter. The baseball has a mass of 0.14 kg. The ball is
pitched to the right with a velocity of 41.26 m/s.
The momentum of the baseball with a mass of 0.14 kg and velocity of 41.26 m/s is determined as 5.78 kgm/s.
What is the momentum of the baseball?The momentum of the baseball is calculated by applying the following formula as shown below;
P = mv
where;
m is the mass of the baseballv is the speed of the baseballThe momentum of the baseball is calculated as follows;
mass of the baseball = 0.14 kg
velocity of the baseball = 41.26 m/s
momentum, P = mv
P = 0.14 kg x 41.26 m/s
P = 5.78 kgm/s.
Thus, the momentum of the baseball with a mass of 0.14 kg and velocity of 41.26 m/s is determined as 5.78 kgm/s by applying the formula for linear momentum.
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The complete question is below:
Imagine a baseball pitcher and a batter. The baseball has a mass of 0.14 kg. The ball is pitched to the right with a velocity of 41.26 m/s. What is the momentum of the baseball?
A ray of light is directed toward the surface of a block of zircon at an angle of 28.0° with respect to the normal (a line perpendicular to the surface at the spot where the ray hits the block).
A fraction of the light is reflected and the rest refracted. What is the angle (in degrees) between the reflected and refracted rays?
An incident light beam is reflected back along the same direction when it strikes a flat mirror's surface ordinarily. This is because since there is no angle of incidence, there will also be no angle of reflection.
What would be seen if the block was perpendicular to the incident ray?The incident ray, the reflected ray, and the transmitted (refracted) ray will all follow the same path if the ray is perpendicular to the surface (i.e they are collinear). The ray seems to be bent at the surface if it is not perpendicular to the surface.
The angle of incidence is 0 since the beam impacts the mirror perpendicular to its surface (from the normal).
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What is the period of revolution of a satellite with mass (m) that orbits the earth in a circular path of radius 7480 km (about 1100 km) above the surface of the earth)?
When a mass (m) that orbits the earth in a circular path of radius 7480 km (about 1100 km) above the surface of the earth), the period of revolution of the given satellite is approximately 8207 seconds or 2.28 hours.
The period of revolution of a satellite with mass (m) that orbits the earth in a circular path of radius 7480 km (about 1100 km) above the surface of the earth) can be determined by using Kepler's third law which relates the period of revolution of a satellite to the average radius of its orbit.
Kepler's third law states that the square of the period of revolution of a satellite is proportional to the cube of the average radius of its orbit.
Mathematically, the law can be expressed as: T² = (4π² / GM) × R³Where T is the period of revolution, G is the gravitational constant, M is the mass of the earth, and R is the average radius of the orbit of the satellite.
To find the period of revolution of the given satellite, we can substitute the given values in the equation: R = 7480 km + 6370 km = 13850 kmM = 5.97 × 10²⁴ kgG = 6.67 × 10⁻¹¹ Nm²/kg²T² = (4π² / GM) × R³T² = (4π² / (6.67 × 10⁻¹¹ × 5.97 × 10²⁴)) × (13850 × 10³)³T² = 6.7182 × 10¹⁴ seconds²
Taking the square root of both sides, we get:T = 8.2079 × 10³ seconds
Therefore, the period of revolution of the given satellite is approximately 8207 seconds or 2.28 hours.
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Mr Smith is working in a muddy garden. When he picks up a paving stone his feet sink deeper into the mud. Explain why his feet sink into the mud more when he picks up the paving stone. Write about pressure in your answer
because he is carrying more mass and as the ground is muddy his feet goes in due to the pull of gravity
PLEASE HELP ME TIMED TEST!!!
A bowling ball has a kinetic energy of 14 J with a mass of 17 kg , how fast is the bowling ball moving? (round your answer to the nearest hundredths place)?
Answer:
56
Explanation:
I just want the points to be completely honest with you.
Explanation:
\(\boxed{\sf{K.E = \dfrac{1}{2} \times m \times v^2}}\)
Here, K . E or Kinetic Energy is given as 14 JHere, mass is 17 kgLet's Do!
\(\boxed{\sf{14 = \dfrac{1}{2} \times 17 \times v^2}}\)
\(\boxed{\sf{\dfrac{14 \times 2}{17} = v^2}}\)
\(\boxed{\sf{ \sqrt{\dfrac{14 \times 2}{17}}= v}}\)
So, 1.283 m/s is the required answer.
Mrs. Tate travels in her car. She goes from mile marker 15 to 125 in 2.75 hours. What is her average speed?
Answer:
Explanation:
Step 1: Subtract 15 from 125
\(125-15=110\)
She traveled 110 miles in 2.75. We need to find her avg. speed.
Step 2: Divide 110 by 2.75
\(110/2.75=40\)
The answer is: Her average speed is 40 miles per hour.
Hope this helped!
7. State condition of equilibrium when a borly is acted upon by a number of parallel forces. A uniform metal tube of length 5cm and mass 9 kg is suspended horizontally by two vertical wire attaches at 50cm and 150cm respectively from the ends of the tuber Find the tension in each wire. in tril Solution -
According to the question the tension in each wire is 1.96 N.
What is tension?Tension is a term that describes the psychological and physical state of a person or system in which there is a high degree of stress, uncertainty, and anxiety. It is often associated with conflict and is often experienced when individuals or groups feel threatened or constrained in some way. Tension can be experienced in a variety of different contexts, from interpersonal relationships to the workplace. It can result from a variety of different factors, including a lack of communication, conflicting goals or expectations, and unmet needs.
The body is in equilibrium when the sum of all forces acting on it is equal to zero. In this case, the forces acting on the metal tube are the two wires and the weight of the tube due to gravity.
The tension in each wire is equal to the weight of the tube divided by the length of the tube. This is because the tube is suspended horizontally, so the forces in each wire must be equal in order to keep the tube in equilibrium.
Therefore, the tension in each wire is:
T = (9 kg × 9.8 m/s2) / (5 cm × 0.01 m)
= 1.96 N
Therefore, the tension in each wire is 1.96 N.
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Imagine that there is a small rocky body caught by Earth’s gravity. Draw a comic-strip cartoon
to illustrate its journey as it travels through space toward Earth, enters Earth’s atmosphere, and
lands on Earth. Describe your illustration with narration or speech/thought bubbles. Include the
use of these key terms: atmosphere, meteor, meteoroid, meteorite.
To create this comic strip you can use a narration describing each step and illustrate each one with one image or drawing.
Creating a comic strip involves using images and short texts to explain a specific idea or phenomenon. In the case of the process for a meteor to enter Earth you can use the following ideas.
A meteoroid approaches the Earth at high speed and draw a meteor traveling near to different planets and approaching Earth.What is that? and draw the Earth wondering who or what is approaching.The meteoroid enters the atmosphere of the Earth and becomes a meteor and draw the rocky body burningThe rocky body crashes with the surface becoming a meteorite and draw the zone where the meteorite crashed.Learn more about comic in: https://brainly.com/question/1418309
Potential energy can be converted into kinetic energy, a good example of this is when a pole-vaulter bends the pole during a leap. When the pole is bent the most, does it store elastic or gravitational potential energy? Question 7 options: Only gravitational potential energy because that is more powerful than elastic potential energy. It has neither elastic or gravitational potential energy. The pole stores elastic potential energy when the pole is bent because its shape is change from its natural shape and it will want to go back to its original form, just like a spring or stretched elastic material. The pole stores gravitational potential energy because it is bent from its natural shape when off the ground.
Answer:
The pole stores elastic potential energy when the pole is bent because its shape is change from its natural shape and it will want to go back to its original form, just like a spring or stretched elastic material.
Question:
Why did you lie about being in college?
Answer:
The pole stores gravitational potential energy because it is bent from its natural shape when off the ground.
Explanation: i took the test
Drag each tile to the correct correct box. Think about what you have learned about the events and people that shaped the Civil Rights Movement. Drag the tiles to the correct locations on the diagram to indicate whether each case expanded or limited rights for African Americans.
Maybe the most effective method civil rights campaigners employed to further their objectives was sit-ins. African-Americans opposed segregation in public spaces (such as restaurants) across the nation to draw attention to the injustice that exists in the US.
When did the Civil Rights Movement begin?The 1954 Supreme Court ruling Brown v. Board of Education, which reversed desegregated schools all throughout the country, was the first significant event of the contemporary civil rights movement. Schools were sluggish to comply, particularly in the South, and attempts to register black pupils sometimes resulted in violent outbursts.
Black People in the United States were the focus of agitation during the Civil Rights Movement for equal rights and treatment.
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Starting from Newton’s Third Law F₁₂ = -F₂₁ derive the Law of Conservation of Momentum for an elastic collision.
From Newton’s Third Law, the Law of Conservation of Momentum for an elastic collision is derived as m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂.
Newton's third lawThis law states that action and reaction are equal and opposite. That is the force applied to an object is equal to the reaction received by the object.
F₁₂ = -F₂₁
m₁a₁ = -m₂a₂
m₁v₁/t = -m₂v₂/t
m₁v₁ = -m₂v₂
m₁v₁ + m₂v₂ = 0
For an elastic collision involving two objectsThe sum of the initial momentum must be equal to sum of final momentum.
let initial velocity = ulet final velocity = vm₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
Thus, from Newton’s Third Law, the Law of Conservation of Momentum for an elastic collision is derived as m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂.
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