A student determines the centre of mass of a piece of card. Fig. 3.1 shows the equipment the student uses.
Describe how the student determines the centre of mass of the card using the equipment in Fig. 3.1.
Answers
Based on the fact that the center of mass and the center of gravity in the parallel gravity field close to the earth's surface are the same. The experimental measurement of a body's center of mass makes use of gravity forces on the body.
What determine the center of mass of a piece of card?The center of mass is a point determined with respect to an object or group of objects. It shows the system's average location, weighted by the mass of each component.
The center of mass will always rest immediately underneath a shape if it is suspended from a single point.
Therefore, the center of mass is where two lines that are drawn down downward from two different places on a shape (one at a time) intersect.
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Related Questions
A object of mass M1 travels in a circular path of radius R on a horizontal table. The object is attached to a string that passes through a hole in the center of the table. An object of mass M2 is attached to the other end of the strings and hangs vertically under the table, which produces a force on M1. All frictional forces are considered to be negligible. Which quantity or quantities must be measured to be determined the tangential speed required to keep the system in equilibrium
Answers
Only gravity acceleration is needed.
If we let gravity be g
I will rename M1 as M₁ for the first mass
I will rename M2 as M₂ to further reduce the possible confusion of a subscript with a multiplicand.
What is tension?The tension in the string will support the weight of M₂ and will supply the centripetal force required to keep M₁ on a circular path:
M₁v²/R = M₂g
v = √(M₂gR/M₁)
A object of mass M1 travels in a circular path of radius R on a horizontal table. The object is attached to a string that passes through a hole in the center of the table. An object of mass M2 is attached to the other end of the strings and hangs vertically under the table, which produces a force on M1. All frictional forces are considered to be negligible.
Therefore, Only gravity acceleration is needed.
If we let gravity be g
I will rename M1 as M₁ for the first mass
I will rename M2 as M₂ to further reduce the possible confusion of a subscript with a multiplicand.
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a -kilogram block of each of these materials is pulled horizontally across a steel floor at constant velocity. which block requires the smallest applied force to keep it moving at constant velocity?
Answers
The block requires the smallest applied force to keep it moving at constant velocity is copper = 0.36. Hence option c is correct.
What is velocity?Velocity is defined as the speed of change in the object's position relative to time and a frame of reference. A specification of a thing's speed and direction of motion is what velocity is.
The force of friction and the applied (horizontal) force must be different for an object to accelerate or decelerate, and they must be equal for it to move at a constant speed.
Thus, the block requires the smallest applied force to keep it moving at constant velocity is copper = 0.36. Hence option c is correct.
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Your question is incomplete, but probably your complete question was
A 10 kilogram block of each of these materials is pulled horizontally across a steel floor at a constant velocity. Which block requires the smallest applied force to keep it moving at a constant velocity?
Al = 0.47
brass= 0.44
copper = 0.36
steel = 0.57
Which trait is solely dependent on its environment?
Answers
Answer:
The tendency of a dog to bark defines entirely on the type of environment and the situation the dog looks at. Hence the correct answer is option.
what is the intensity of a 4.5 mw laser pointer beam with a diameter of 2 mm? (these are typical characteristics of inexpensive laser pointers.)
Answers
The intensity reflects 95% of the critical reading scores is 430 t 230.
What is intensity?
intensity is the period of time between two points.
As per the given scenario
95% confidence intervals
(Mu - 6.7-Mu+6.7)
(430-115×2 , 430+115×2)
By adding or substracting
( 430-230, 430+230)
So interval (430±230)
Thus,
The interval= 430±230.
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understanding where earthquakes occur can help develop ways to lessen their effects because...please help dudes ;-;
Answers
Answer:
build the resilience of the society physically, socially and economically.
Explanation:
They actually build the resilience of the society , physically or socially or economically All three .
What is the direction of the resultant vector A + B?
A. 15° above the x-axis
B. 75° above the x-axis
C. 15° below the x-axis
D. 75° below the x-axis
Answers
the absolute temperature of a sample of monatomic ideal gas is doubled at constant volume. what effect, if any, does this have on the pressure and density of the sample of gas?
a. Remains the same Remains the same
b. Remains the same Doubles
c. Doubles Remains the same
d. Doubles Is multiplied by a factor of 4
e. Is multiplied by a factor of 4 Doubles
Answers
Mostly on density and pressure of the gas sample, doubles remain the same.
What is temperature called?Both freezing and boiling temperatures of water serve as the foundation for the two most popular test temperatures, Celsius (C) or Fahrenheit (F). There are 100 steps between the two locations on the Celsius scale and 180 on the Fahrenheit scale. Additionally, scientists employ the Kelvin units of the International System (K).
What is temperature and heat?Definition. The entire energy of all internal molecular motion makes up an object's heat. The heat conduction or average temperature of a molecules within a substance is measured by temperature. S.I. Unit.
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if the average force of friction is equal to 0.15 of its weight, with what speed will it reach point 2? the distance traveled is 40 m .
Answers
At reach point 2, the speed V is equal to 24.9 m/s if the average friction force is equivalent to 0.15 of the its weight.
Describe friction.A force that opposes the rolling or sliding of three stationary surfaces over one another. Although frictional forces, such the traction required to walk without falling, may be advantageous, they can provide a significant amount of resistance to motion. the physical contact of two bodies.
What 3 forms of friction are there?The interaction of a car's tires with the road causes friction, specifically three types of friction: rolled friction, starting turbulence, and sliding friction. This friction is what allows humans to operate cars at all.
Briefing:speed= 1.5m/s
The Initial speed u = 1.5m/s.
point 1 $ point 2 is (39-13) =26m
40 meters is equivalent to an altitude of(40/6) =6.7
kinematics equation v^2 =u^2 + 2as
V^2 = 1.5^2 + 2*9.8 (26 + 6.7)
V = 24.9 m/s
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A woman of mass 49 kg jumps off the bow of
a 46 kg canoe that is intially at rest.
If her velocity is 1.5 m/s to the right, what
is the velocity of the canoe after she jumps?
Answer in units of m/sˆı.
Answers
Answer:
[tex]v_c_a_n_o_e=-1.6m/s^{2}[/tex]
Explanation:
You can use the equation of the conservation of momentum. We find that the velocity of the canoe is -1.6m/s².
[tex]m_1v_1+m_2v_2=0\\(49)(1.5)+(46)(v_c_a_n_o_e)=0\\73.5 + 46v_c_a_n_o_e=0\\46v_c_a_n_o_e = -73.5\\v_c_a_n_o_e = -73.5/46 = -1.6m/s^{2} \\[/tex]
A net force of 0.5 N is applied to an object causing it to accelerate at a rate of 0.25m/s^2 [w] what must be the mass of the object
Answers
Answer:
2kg
Explanation:
F= ma
F = 0.5N and a = 0.25m/s²
m = F/a
= 0.5/ 0.25
= 2kg
The stars of the milky way are all near a great circle on the celestial sphere. This great circle.
Answers
The stars of the milky way are all near a great circle on the celestial sphere. This great circle is called milky circle.
Milky Way Galaxy, large spiral system consisting of several hundred billion stars, one of which is the sun.It takes its name from the Milky Way, the irregular luminous band of stars and gas clouds that stretches across the sky as seen from Earth.Although Earth lies well within the Milky Way Galaxy, astronomers do not have as complete an understanding of its nature as they do of some external star systems. Although most stars in the Galaxy exist either as single stars like the Sun or as double stars.Milky circle is the great circle in which all stars of milky way are present.To know more about galaxy visit:
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The stars of the milky way are all near a great circle on the celestial sphere. This great circle is called milky circle.
What is Milky Way Galaxy ?Milky Way Galaxy, large spiral system consisting of several hundred billion stars, one of which is the sun.It takes its name from the Milky Way, the irregular luminous band of stars and gas clouds that stretches across the sky as seen from Earth.Although Earth lies well within the Milky Way Galaxy, astronomers do not have as complete an understanding of its nature as they do of some external star systems.Although most stars in the Galaxy exist either as single stars like the Sun or as double stars.Milky circle is the great circle in which all stars of milky way are present.To know more about Milky Way visit: https://brainly.com/question/13956361
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How can the coefficient of friction between a pair of shoes and the surface they are in contact with affect the acceleration of an athlete?
Answers
The acceleration is precisely equal to the product of the acceleration due to gravity and the coefficient of kinetic friction.
What is acceleration?The rate at which an object's velocity with respect to time changes is known as its acceleration. Accelerations are vector quantities. The direction of the net force acting on an object determines its acceleration.
What is the Coefficient of friction?The ratio of the frictional resistive force to the perpendicular force pushing the objects together is known as the coefficient of friction. The formula for the coefficient of friction is μ = F N, where F denotes the frictional force and N is the normal force.
What is kinetic?It deals with the forces and energies involved in the motion of material bodies.
Hence, the acceleration is precisely equal to the product of the acceleration due to gravity and the coefficient of kinetic friction.
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When you check your credit score for incorrect information what are you checking?
a. velocity
b. variety
c. veracity
d. volume
Answers
When you check your credit score for incorrect information, you are checking the veracity of the information.
option C is the correct answer.
What is veracity?Veracity is a word that describes the quality of being true, honest, or accurate.
Veracity also entails the conformity with truth or fact. It shows the validity of information or fact.
From the given question, when you check your credit score for incorrect information you are checking the veracity of such information or the conformity with truth or fact about the credit score.
Thus, we can conclude that veracity entails the truth, validity or conformity of information with proven truth.
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Find the x coordinate xcm of the center of mass of the system. Express your answer in terms of m1 , m2 , x1 , and x2
Answers
The position of center of mass will be x = (x₁m₁ + x₂m₂) / m₁ + m₂
The center of gravity of a body or system of particles is defined as the point at which the entire mass of the body or all the masses of the system of particles appeared to be concentrated.
In physics, we can say that the center of mass is the point at the center of the distribution of mass in space (also known as the equilibrium point) where the weighted relative position of the distributed mass sums to zero.
Simply put, the center of gravity is the position that is relative to the object. We can say that it is the average position of all parts of the system or it is the mean location of the mass distribution in space. It is the point where a force is usually applied that results in linear acceleration without any angular acceleration.Mathematically, COM is (x₁m₁ + x₂m₂) / m₁ + m₂where, x₁ and x₂ are the positions of the objects and m₁ + m₂ are the masses of the objects respectively.
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A 0.15 kg marble sliding to the right at 2.5 m/s on a frictionless surface makes a head-on collision with a 0.25 kg marble moving
to the left at 3.0 m/s. After the collision, the first marble moves to the left at 2.8 m/s. How fast does the second marble move to
the right?
Answers
Answer: 0.18 m/s
Explanation:
This is a conservation of momentum problem. Total momentum before the collision must equal the total momentum after the collision.
Momentum = p = mv
let x = velocity of the second marble after the collision
(0.15 kg)(2.5 m/s) + (0.25 kg)(-3.0 m/s) = (0.15 kg)(-2.8 m/s) + (0.25 kg)(x)
-0.375 kg·m/s = -0.42 kg·m/s + (0.25 kg)x
(0.25 kg)x = (0.42 - 0.375) kg·m/s = 0.045 kg·m/s
x = (0.045 kg·m/s) / (0.25 kg) = 0.18 m/s
Try to make only one molecule of water in the simulation. Is it possible?
Answers
In the simulation, an oxygen atom by itself doesn't exist. There are always two atoms of oxygen.
Why are you unable to operate with a single water molecule in your lab?A single water molecule is quite tiny. Since humans are unable to see or feel a single molecule, we are unable to measure or otherwise handle it in the laboratory.
How many molecules are required to create one mole of water?Molecules are created when atoms come together. Two hydrogen (H) atoms and one oxygen (O) atom make up the three atoms that make up a water molecule. Because of this, water is occasionally abbreviated as H2O. There are billions of water molecules in a single drop of liquid.
Can one have clean water?Despite being the most prevalent substance on earth, water is rarely encountered in its purest form in nature. Usually, pure water needs to be produced. Distilled water or deionized water are two names for pure water. In distilled water, evaporation has evaporated away every dissolved ingredient that was previously present in the water.
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The half-wave rectifier circuit of Fig. 1 ha a tranformer inerted between the
ource and the remainder of the circuit. The ource i 240 V rm at 60 Hz, and the
load reitor i 20 Ω. (a) Determine the required turn ratio of the tranformer uch
that the average load current i 12 A. (b) Determine the average current in the
primary winding of the tranformer
Answers
(a) ratio = 0.32 One the average current with in primary coil of the tranformer.
(b) The load current is 753.6 volts, and the transformer's required turn ratio is 12. The mean load current is 12.
What is current?Charge moves across a point on such a circuit at a rate known as current. When numerous coulombs of charge pass over a wire's cross section in a circuit, a large current is the result. It is not necessary to have a fast speeds to have a large current if the positive ions are tightly packed inside the wire.
Briefing:Source = 240Vrms/ 60Hz
Resistor = 20 ohm
Avg. load current = voltage/ resistance * pi
= 12A times (20*3.14)
load current = 753.6 volts
ratio = Vp/Vs
ratio = 240/754
ratio = 0.32 A
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if the radius of the earth is r meters. what is the weight of (i.e. the force of gravity on) a 9 kg satellite that is a distance 2r above the surface of the earth?
Answers
The weight of (i.e. the force of gravity on) 9 kg satellite that is at a distance 2r above the surface of the earth is calculated as 9.79 N.
How is weight defined?In science and engineering, the weight of an object is defined as the force acting on the object due to gravity. It is a standard mechanical quantity but sometimes, it can be defined as a vector quantity, the gravitational force acting on the object.
Given m= 9kg g = 9.8m/s²
As we know, Weight, W = m* a
Acceleration due to gravity at height 2r; h = 2r
a =g r²/(r+ h)²
= gr²/( r+ 2r)²
= gr²/9r²
=g/9
=9.8/9
= 1.088 m/s²
W = m* a
W= 9 * 1.088
Weight = 9.79 N.
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Determine the formula of chromium oxide, which is formed when a chromium ion with a 3+ charge combines with an oxygen ion with a 2- charge.
Answers
The formula of chromium oxide, which is formed when a chromium ion with a 3+ charge combines with an oxygen ion with a 2- charge be Cr₂O₃.
What is chemical formula?
A chemical formula is a formula that indicates the number of atoms of one or more specific elements are present in a given chemical composition. The amount of each specific atom present in the chemical compound is indicated by the numbers that appear as subscripts on certain symbols inside the formula.
In the question, we have chemical compound named chromium oxide, which is formed when a chromium ion with a 3+ charge combines with an oxygen ion with a 2- charge. So, its chemical formula be Cr₂O₃.
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which set of star-position measurements is most likely to show the largest parallax shift for nearby stars?
Answers
The set or star-position measurements taken six months apart is most likely to reveal the highest parallax change for close stars.
What are the basic measurements?The basic units of length & distance measurements inside the English system are the inch, yard, yard, and mile. Other length measurements include a rod, furlong, and chain.
What are the top three measurement units?The three most common fundamental units in the metric system are the meter, gram, and liter. A liter is a unit in volume equal in 3.28 meters, the meter is a length measurement equal to 3.28 feet, and the gram is just an unit of matter equal to approximately 0.0022 pounds (or about the mass of the a paper clip).
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a car traveling at 80 feet/sec decelerates at a constant rate so that it comes to a complete stop after 30 seconds. how far does the car travel in that time?
Answers
19.15 feet is the distance the car travel in that time when a car traveling at 80 feet/sec decelerates at a constant rate so that it comes to a complete stop after 30 seconds.
What is deceleration ?Deceleration is described as a reduction in speed as the body advances away from the beginning position.The opposite term of acceleration is defined as deceleration. It is written as. Also negative acceleration is another name for deceleration.Solution:To find the constant deceleration rate we use a = Δv/Δt.
a=80feet/sec/30s
a=-2.66 m/s^2
now to find the distance travelled
s = 80*-2.66 *30^2 =19.15 feet (where s= distance)
Hence,19.15 feet is the distance the car travel in that time when a car traveling at 80 feet/sec decelerates at a constant rate so that it comes to a complete stop after 30 seconds.
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In 1-2 sentences, summarize what can be said about the force produced by the engine in Rocket A compared to Rocket B, based on Newton’s Second Law of Motion.
Answers
Hello,
I hope you and your family are doing well!
Newton's Second Law of Motion states that the force produced by an engine is equal to the mass of the rocket times its acceleration. The greater the force produced by the engine, the greater the acceleration of the rocket.
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the direction of the force of sliding friction is always select one to that of velocity of the object and is select one static friction.
Answers
The direction of the force of sliding friction is always that of velocity of the object.
Moving against the surface's normal, the force of sliding friction acts in a direct proportion to the weight.
Sliding or kinetic friction is the resistance to the actual relative sliding motion between two surfaces in contact. Let's start by learning about frictional forces from a basic understanding. If a metal block is on a table, it might not move in response to a weak force. The metal block begins to move as the force is gradually increased. The resistive force provided by the metal block in its static form is the same as the controlling value of the force at which the metal block begins to move. Static Friction is the name given to this resistive force. The metal block starts to budge as the experiment continues and the force is increased. Moving against the surface's normal, the force of sliding friction acts in a direct proportion to the weight. In particular, if the surface on which the body slides is horizontal, the normal force will be equal to the object's weight.[tex]F=utan\alpha[/tex]To find more about Static Friction -
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A weightlifter lifts up a bar and weights of mass of 200 kg so that the bar is a height of
2.0 m above the ground. The radius of the largest disc on the bar is 20 cm. What is the gain
in PE when the weights are lifted?
Answers
Answer:
3924 Joules
Explanation:
Potential Energy is calculated with the formula:
PE = mgh
From the problem m=200kg and h=2m so the gain in PE when the weights are lifted is 200*(9.81)*2 = 3924 J
suppose you are given two dry cells, two bulbs and conducting wire. how will you construct an electric circuit to light the bulb with maximum brightness?
Answers
Answer:
To construct an electric circuit to light a bulb with maximum brightness, you will need to follow these steps:
1) Assemble the materials: Gather the two dry cells, two bulbs, and the conducting wire.
2) Connect the cells: Place the two dry cells side by side, making sure that the positive terminal of one cell is connected to the negative terminal of the other cell. This will create a series circuit.
3) Connect the bulbs: Attach one end of a length of conducting wire to the positive terminal of one of the dry cells. Connect the other end of the wire to the base of one of the bulbs. Then, attach another length of conducting wire to the base of the first bulb and connect the other end to the negative terminal of the other dry cell.
4) Test the circuit: Touch the base of the second bulb with one hand and the negative terminal of the second dry cell with the other hand. If the bulb lights up, the circuit is complete. If it does not, check the connections to make sure they are secure and that the bulbs are functioning properly.
5) Adjust the brightness: If the bulb is not as bright as you would like, you can try using a different bulb or adding additional cells to the circuit to increase the current. Be aware that adding too many cells can cause the bulb to burn out or create a hazard, so use caution when adjusting the brightness.
In order to build an electric circuit that will light a bulb as brightly as possible, you must do the following steps: Gather the components: assemble the conducting wire, two bulbs, and two dry cells.
What is an electric circuit to light the bulb?Join the cells, and align the positive terminal of one cell with the negative terminal of the other cell by placing the two dry cells side by side.
Connect the bulbs join the positive terminal of one of the dry cells to one end of a piece of conducting wire.
Modify the brightness: If the light isn't as bright as you'd want it to be, you may try using a different bulb or expanding the circuit with more cells to boost current.
Therefore, bright as you'd want it to be, you may try using a different bulb or expanding the circuit.
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an eagle is flying due east at 10 m/s carrying a gopher in its talons. the gopher manages to break free at a height of 20 m. what is the magnitude of the gopher's velocity as it reaches the ground?
Answers
The magnitude of gopher's velocity as it reaches the ground is 22.18 m/s.
Given that, velocity of the eagle u = 10 m/s
Height x = 20 m
From one of the equations of motion, we know, v² - u² = 2 * a * s
Here, s is the height (x)
u is the initial velocity
a is the acceleration due to gravity
v is the velocity of the gopher as it reaches the ground
v² = u² + 2 a * x
v = √(u² + 2 a * x)
v = √( 10² + 2 * 9.8 * 20) = 22.18 m/s
Thus, the velocity of the gopher as it reaches the ground is 22.18 m/s.
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assuming a flat surface with no air resistance, if a projectile is fired at an angle of 30 degrees with an initial velocity of 20 m/s, what will be the distance the object travels before hitting the ground?
Answers
Answer:
20.41m
Explanation:
v1=20 m/s
30°
-assuming flat ground and no friction forces acting-
[tex]vf^{2}[/tex][tex]=vi^{2} +2a[/tex]Δx ⇒ Δx[tex]= vf^{2} -vi^{2} /2a[/tex]
[tex]0^{2} -20^{2} /2(-9.8)[/tex]
[tex]400/19.6[/tex]
[tex]=20.408[/tex]⇒[tex]20.41 m[/tex]
how fast (in km/hr) is a race car going if its eight-cylinder engine emits a sound of frequency 548 hz, given that the engine makes 2622 revolutions per kilometer?
Answers
Race car is going at a speed of 94.05 km/hr. , when frequency and revolutions are given.
What is frequency?The number of occurrences of a repeating event per unit of time is called as frequency . It is also referred to as temporal frequency and is distinct from angular frequency. Frequency is measured in hertz.
Given frequency is 548 Hz and 2622 rev/km
Frequency of sound produced by each piston= 548/8
= 68.5 Hz
Each cylinder makes sound every 2 revolutions, therefore for a piston to have 68.5 Hz frequency, it undergoes 137 rev/sec
V= (68.5 rev/sec)/(2622rev/km) * (1000m/1km)
= 26.125 m/s
V = 94.05 km/hr.
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a projectile is launched at 50 m/s at 37 degrees from the horizontal. how long will it be in the air if it returns to the same level it was launched
Answers
The projectile will take 6 seconds to return to the same level it was launched if it is launched at 50 m/s at 37 degrees from the horizontal.
Time taken by projectile to cover entire trajectory is called "Time of flight".
Suppose the initial velocity is u = [tex]v_{0[/tex] sin Ф
Let the Time of flight is T
As the projectile is reaching the same level of projection, vertical displacement is y=0
we have, s= u t +1/2 a[tex]t^{2}[/tex]
0= [tex]v_{0[/tex] sinФT- 1/2 g[tex]T^{2}[/tex]
0= [tex]v_{0[/tex] sinФ- 1/2 gt
so, T = 2[tex]v_{0[/tex] sinФ/g
Putting values in this formula, we have
T= 2×30/10
T= 6 s
So, Time of flight is 6 seconds.
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At a distance of 6 meters, a person with average vision is able to clearly read letters 1.0 cm high.
Approximately how large do the letters appear on the retina? (Assume that the retina is 1.7 cm from the lens.)
Answers
Ratio of distances of image and object respectively = ratios of heights of image and objects respectively
This implies
(1.7/600) = (x/1) ........ ( X is largeness of letter on retina)
x= 0.002833333 cm
What is retina?
The retina is the innermost, light-sensitive layer of eye tissue in most vertebrates and some mollusks. The optics of the eye create a focused two-dimensional image of the visual world on the retina. The retina processes that image within the retina, sending nerve impulses along the optic nerve to the visual cortex to produce vision. The retina functions in many ways similar to the film and image sensors in cameras.
The neural retina consists of several layers of neurons connected by synapses and supported by an outer layer of pigment epithelial cells. The main light-sensitive cells in the retina are photoreceptor cells, of which there are two types: rods and cones. Rods work primarily in low light and provide monochromatic vision. Cones function in bright environments, use different opsins to perceive color, and are responsible for sharp vision used for tasks such as reading. A third type of photosensitive cell, the photosensitive ganglion cell, is important in entrainment of circadian rhythms and reflex responses such as the pupillary light reflex.
Therefore, x= 0.002833333 cm
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