Bill is farsighted and has a near point located 125 cm from his eyes. Anne is also farsighted, but her near point is 75.0 cm from her eyes. Both have glasses that correct their vision to a normal near point (25.0 cm from the eyes), and both wear the glasses 2.0 cm from the eyes. Relative to the eyes, what is the closest object that can be seen clearly (a) by Anne when she wears Bill's glasses and (b) by Bill when he wears Anne's glasses

Answers

Answer 1

Answer:

a) The closest object Anne can see, while wearing Bill's glasses is at approximately 22.39 cm relative to her eyes

b) The closest object Bill can see while wearing Anne's glasses is at approximately 26.38 cm relative to his eyes

Explanation:

The point where Bill has a near point = 125 cm

The point where Anne has a near point = 75.0 cm

Their vision are both corrected to the normal near point = 25.0 cm

The distance of their glasses from the eye, d = 2.0 cm

The lens formula is presented as follows;

[tex]\dfrac{1}{f} =\dfrac{1}{d_0} +\dfrac{1}{d_i}[/tex]

The required distance of the of the object from Bill's glass, [tex]d_{oB}[/tex] = 25 cm - 2.0 cm = 23.0 cm

The distance of the of the image from Bill's glass, [tex]d_{iB}[/tex] = -(125 cm - 2.0 cm) = -123 cm

Therefore, for Bill, we have;

[tex]\dfrac{1}{f_B} =\dfrac{1}{d_{0B}} +\dfrac{1}{d_{iB}}[/tex]

Plugging in the values gives;

[tex]\dfrac{1}{f_B} =\dfrac{1}{23} -\dfrac{1}{123} = \dfrac{100}{2,829}[/tex]

Therefore;

[tex]f_B[/tex] = 2,829/100 cm = 28.29 cm

The required distance of the of the object from Anne's glass, [tex]d_{oA}[/tex] = 25 cm - 2.0 cm = 23.0 cm

The distance of the of the image from Anne's glass, [tex]d_{iA}[/tex] = -(75 cm - 2 cm) = -73 cm

The focal length for Anne is therefore;

[tex]\dfrac{1}{f_A} =\dfrac{1}{d_{0A}} +\dfrac{1}{d_{iA}}[/tex]

Plugging in the values gives;

[tex]\dfrac{1}{f_A} =\dfrac{1}{23} -\dfrac{1}{73} = \dfrac{50}{1,679}[/tex]

Therefore, we have;

[tex]f_A[/tex] = 1,679/50 cm = 33.58 cm

a) When Anne wears Bill's lasses, we have;

[tex]\dfrac{1}{f_B} =\dfrac{1}{d_{0A}} +\dfrac{1}{d_{iA}}[/tex]

Therefore, we get;

[tex]\dfrac{1}{28.29} =\dfrac{1}{d_{0A}} -\dfrac{1}{73}[/tex]

[tex]\dfrac{1}{d_{0A}} = \dfrac{1}{28.29} + \dfrac{1}{73} = \dfrac{10,129}{206,517}[/tex]

[tex]d_{0A}[/tex] ≈ 20.39 cm

The distance of the closest object Anne can see, from her eye, [tex]d_{oe}[/tex] =  [tex]d_{0A}[/tex] + d

∴ [tex]d_{oe}[/tex] ≈ 20.39 cm + 2.0 cm = 22.39 cm

The distance of the closest object Anne can see, from her eye, [tex]d_{oe}[/tex] ≈ 22.39 cm

b) The closest object that can be seen when Bill wears Anne's glasses, we have;

[tex]\dfrac{1}{f_A} =\dfrac{1}{d_{0B}} +\dfrac{1}{d_{iB}}[/tex]

Therefore;

[tex]\dfrac{1}{33.58} =\dfrac{1}{d_{0B}} -\dfrac{1}{123}[/tex]

[tex]\dfrac{1}{d_{0B}} = \dfrac{1}{33.58} +\dfrac{1}{123} = \dfrac{7,829}{206,517}[/tex]

∴ [tex]d_{oB}[/tex] ≈ 26.38 cm

The closest object Bill can see while wearing Anne's glasses,  [tex]d_{oB}[/tex] ≈ 26.38 cm.


Related Questions

Mark was traveling at 40 mph on a road with a drag factor of 0.85. His brakes were working at B0o/o efficiency. To the nearest tenth of a foot, what would you expect the average length of the skid marks to be if he applied his brakes in order to come to an immediate stop

Answers

The average length of the skid marks to be if he applied his brakes in order to come to an immediate stop is 78.43 ft.

The given parameters:

Speed of Mark, v = 40 mphDrag factor, F = 0.85Working efficiency of the brake, n = 80%

The average length of the skid marks to be if he applied his brakes in order to come to an immediate stop is calculated as follows;

[tex]v = \sqrt{30 D fn} \\\\40 = \sqrt{30 \times D \times 0.85 \times 0.8} \\\\40 = \sqrt{20.4 D} \\\\40^2 = 20.4D\\\\1600 = 20.4 D\\\\D = \frac{1600}{20.4} \\\\D = 78.43 \ ft[/tex]

Thus, the average length of the skid marks to be if he applied his brakes in order to come to an immediate stop is 78.43 ft.

Learn more about length of a skid mark here: https://brainly.com/question/16914218

which clock do scientists use to measure time why​

Answers

Scientists are actually working on a type of clock that is more accurate than the atomic clocks we use today. It is called an optical atomic clock and it measures atomic oscillations using light from the visible spectrum.

Scientists use Atomic clock to measure time

The sunlight reaches the ground through radiation​

Answers

We know but What’s ur question?!!!

Answer:

y e s

Explanation:

A (200 g) of water at (80 °C) is mixed with (100 g)of water at (20 °C). What is the final temperature of the water?

Answers

Answer:

60 °C

Explanation:

From the question given above, the following data were obtained:

Mass of 1st sample (M₁) = 200 g

Temperature of 1st sample (T₁) = 80 °C

Mass of 2nd sample (M₂) = 100 g

Temperature of 2nd sample (T₂) = 20 °C

Equilibrium temperature (Tₑ) =?

NOTE: Since the sample are the same, the specific heat capacity is constant.

We can obtain the equilibrium temperature as follow:

Heat lost by 1st = heat gained by the 2nd

M₁C(T₁ – Tₑ) = M₂C(Tₑ – T₂)

Cancel out C

M₁(T₁ – Tₑ) = M₂(Tₑ – T₂)

200 (80 – Tₑ) = 100 (Tₑ – 20)

Clear bracket

16000 – 200Tₑ = 100Tₑ – 2000

Collect like terms

16000 + 2000 = 100Tₑ + 200Tₑ

18000 = 300Tₑ

Divide both side by 300

Tₑ = 18000 / 300

Tₑ = 60 °C

Therefore, the equilibrium temperature (i.e the final temperature) of the mixture is 60 °C.

The space shuttle travels at 15,000 m/s in order to enter
earth atmosphere it changes it's speed to 10,000 m/s over
100 seconds. What is the space shuttles acceleration?

Answers

Answer:

10,000 m/s per 100 seconds

In a physics lab, Ray Zuvlite arranges two mirrors with a right angle orientation as shown. Ray then directs a laser line at one of the mirrors. The light reflects off both mirrors as shown. If angle A is 25°, determine the what is the angle measure of angles B, C, and D?

Answers

Answer:

B = 25°

C = 65°

D = 25°

Explanation:

The given parameters are;

The orientation of the two mirrors = At right angle to each other

The laser light is directed at one of the mirror

The measure of angle, A = 25°

The measures of angle B, C, and D are found as follows;

We have;

∠A = ∠B = 25°, by angle of incidence equals angle of reflection

∠B = 25°

∠B + ∠C = 90° by sum of the acute angles of a right triangle

25° + ∠C = 90°

∴ ∠C = 90° - 25° = 65°

∠C = 65°

∠E = ∠C = 65° by angle of incidence equals angle of reflection

∴ ∠E = 65°

Line 'L' is perpendicular to the second mirror, therefore, the angle between line 'L' and the second mirror = 90° = ∠E + ∠D

∠E + ∠D = 90°,  by angle sum property

Therefore;

65° + ∠D = 90°

∴ ∠D = 90° - 65° = 25°

∠D = 25°

pls answer my quetion i will give brainlist answer​

Answers

Answer:

here's an explanation but not the answer

please kindly send No or Yes understand.

Explanation:

A 10-N force is applied to push a block across a friction free surface for a displacement of 5.0 m to the right.

See Answer

See Answer

A 10-N frictional force slows a moving block to a stop after a displacement of 5.0 m to the right.

In general, ionic bonds form between a metal and a nonmetal. Covalent bonds usually form between two nonmetals. Which of the following pairs of atoms is most likely to form a covalent bond?

A. magnesium and chlorine
B. copper and bromine
C. nitrogen and oxygen
D. potassium and phosphorus

Answers

Answer:

C

Explanation:

Nitrogen and Oxygen donates electron to each other

Nitrogen and oxygen has the greatest chance of forming a covalent bond. Option C is correct.

What is a covalent bond?

Covalent bonds are chemical bonds that keep atoms of different elements together while sharing electrons.

Compounds can be polar covalent or nonpolar covalent, depending on the electronegativity variations between components.

The nitrogen family, Group 15, can react with oxygen in a variety of ways. Nonmetallic elements include nitrogen and phosphorus and oxygen.

Ionic bonds often occur between a metal and a nonmetal. Covalent bonds are most commonly formed between two nonmetals.

Nitrogen and oxygen has the greatest chance of forming a covalent bond from given a pair of atoms.

Hence,option C is correct.a given

To learn more about the covalent bond, refer to the link;

https://brainly.com/question/10777799

#SPJ2

Calculate the gravitational force of attraction betweentwo 55 kg people who are standing 0.25 m apart.

Answers

Answer:

F=GMm/r²

G=6.67x10^-11

F= 6.67x10^-11 x 55 x 55/(0.25)²

=3.228 x 10^-6N

The gravitational force of attraction between the two people is 3.23 × 10⁻⁶ N

From Newton's law of universal gravitation formula, we have that

[tex]F = G\frac{m_{1}m_{2} }{r^{2} }[/tex]

Where F is the gravitational force

G is the gravitational constant (G = 6.67408 × 10⁻¹¹ m³.kg⁻¹.s⁻²)

m₁ is the mass of object 1

m₂ is the mass of object 2

and r is the distance between the centers of the masses

From the question

m₁ = 55 kg

m₂ = 55 kg

r = 0.25 m

Putting the parameters into the formula, we get

[tex]F = 6.67408 \times 10^{-11} \times \frac{55 \times 55}{0.25^{2} }[/tex]

∴ F = 3.23 × 10⁻⁶ N

Hence, the gravitational force of attraction between the two people is 3.23 × 10⁻⁶ N

Learn more here: https://brainly.com/question/20856669

Determine the applied force required to accelerate a 2.25 kg object rightward with a
constant acceleration of 1.50 m/s2 if the force of friction opposing the motion is 18.2 N.
(Neglect air resistance.)

Answers

Answer:

Explanation:

Im going to be using the rules for significant digits properly so I hope you're quite familiar with them. The equation we need for this is

F - f = ma where F is the applied force (our unknown), f is the frictional force, m is the mass, and a is the acceleration. Filling in:

F - 18.2 = 2.25(1.50) and

F = 2.25(1.50) + 18.2  Do the multiplication first and round to get

F = 3.38 + 18.2   The addition rules tell us that we will be rounding to the tenths place after we add to get

F = 21.6 N

em 6
Which provides a definition for
matter?
Anything that
A.
B.
C.
D.
is solid and has weight
takes up space and is heavy
takes up space and has mass
is a liquid or solid​

Answers

Answer:

definition of matter is that matter takes up space and has mass

which is the term for the study of weather and climate?

Answers

Answer:

Meteorology

Explanation:

That is indeed the study of weather and climate.

A helium nucleus is composed of two protons (positively charged) and two neutrons (charge neutral). The distance between the two protons in the nucleus is 5.18E-15 m. What is the electric force between the two protons (in Newtons; use positive sign for repulsive forces and negative sign for attractive forces)

Answers

Answer:

Using the given values

F = K q^2 / r^2 = 9 * 10E9 * (1.6 * E-19)^2 / (5.18 * E-15)^2 N

E = 9 * 1.6^2 / 5.18^2 * 10 = 8.5 N

The force between two protons will be 9 N (approx.)

We have two Protons (positively charged) and two Neutrons (charge neutral) inside a Helium atom. The distance between the two Protons in the nucleus is 5.18 x [tex]10^{-15}[/tex] m.

We have to determine the the electric force between the two protons.

State Coulomb's Law of Electrostatic force.

The Coulomb's law states that the magnitude of the electrostatic force of attraction or repulsion between two point charges is directly proportional to the product of the magnitudes of charges and inversely proportional to the square of the distance between them. Mathematically -

[tex]$F=\frac{q _{1}\c q _{2}}{4 \pi \varepsilon _{0} r^{2}}[/tex]

According to question, we have -

Number of protons = 2

Distance between them (r) = 5.18 x [tex]10^{-15}[/tex] m.

We know charge on proton (q[1] = q[2]) = 1.6 x [tex]10^{-19}[/tex] C.

Substituting the values in the equation, we get -

[tex]$F = 9\times 10^{9}\; \times \frac{(1.6\times 10^{-19}) ^{2} }{(5.18\times 10^{-15}) ^{2} }[/tex]

Solving, we get -

F = 9 N (approx.)

Hence, the force between two protons will be 9 N (approx.)

To solve more questions on Coulomb's law, visit the link below-

https://brainly.com/question/10933224

#SPJ2

HI PLEASE HELP!

How do glow sticks affect the temperature of hot an cold water?

Will give brainliest. Will report any links or irrelevant answers so don’t even try.

Answers

Answer:

Chemical reactions occur slower at lower temperatures and faster at higher temperatures. When you put a glow stick in cold water, the chemical reaction slows down but will last for a longer period of time. When you put a glow stick in hot water, the reaction speeds up but will be over quicker.

Explanation:

(self-explanatory)

I hope this helps, have a nice day.

which answer is it??

Answers

Answer:

hmm...

Explanation:

Answer: wave a has the higher ampllitude while wave b has the lower amplitude.

Explanation:

wave a has the amplitude of 4 while wave b has the amplitude of one

Usami Bolt has a mass of 85kg and is running at a steady speed of 10m/s how much kinetic energy does he have

Answers

Answer:

Ek = 4250 J

Explanation:

Data:

m = 85 kgv = 10 m/sEk = ?

Formula:

[tex]\boxed{\bold{Ek=\frac{m*(v)^{2}}{2}}}[/tex]

Replace and solve:

[tex]\boxed{\bold{Ek=\frac{85\ kg*(10\frac{m}{s})^{2}}{2}}}[/tex][tex]\boxed{\bold{Ek=\frac{85\ kg*100\frac{m^{2}}{s^{2}}}{2}}}[/tex][tex]\boxed{\bold{Ek=\frac{8500\ J}{2}}}[/tex][tex]\boxed{\boxed{\bold{Ek=4250\ J}}}[/tex]

It has 4250 Joules of Kinetic Energy.

Greetings.

The length of a planet's day is determined by it's

Answers

Answer: "People will say the length of a day is determined by just the rotation rate of a planet, but that isn’t entirely true. The orbit around its sun also factors in. What we define as a day is the time between when the Sun is highest in the sky until the next time the Sun is at the highest point in the sky. This isn’t just the time it takes the Earth to rotate once on its axis, though. This is because, as the Earth is rotating, it’s also moving relative to the Sun"

difference between acceleration due to gravity and gravity​

Answers

Answer:

The gravitational force between earth and any object is known as gravity.

...

A parallel combination of 3ohms and 4ohms resistor is connected in series with a resistor of 4ohms and a battery of negligible resistance. Calculate the effective resistance in the circuit

Answers

Answer:

Explanation:

Equivalent resistance of parallel combination of two resistors of 3 ohms and 4 ohms .

R₁ = 3 x 4 / ( 3 + 4 )

= 12 / 7 = 1.7 ohms .

This equivalent resistance is connected with 4 ohms in series

Total resistance = 1.7 ohms + 4 ohms

= 5.7 ohms.

Hence effective resistance of the circuit = 5.7 ohms .

Emma compares the time it takes for a large marble and a small marble to roll down a slope. To make the findings reliable, Emma should..

Answers

Answer:

use two marbles that are having the same mass.

Explanation:

An experiment can be defined as an investigation which typically involves the process of manipulating an independent variable (the cause) in order to be able to determine or measure the dependent variable (the effect).

This ultimately implies that, an experiment can be used by scientists to show or demonstrate how a condition causes or gives rise to another i.e cause and effect, influence, behavior, etc in a sample.

Compare and contrast is used for the comparison of two or more things to show similarities and differences i.e how they are alike and different.

In this scenario, Emma compares the time it takes for a large marble and a small marble to roll down a slope.

In order to make his findings reliable, Emma should use two marbles that are having the same mass i.e two large marbles with the same mass and two small marbles with the same mass.

Mass can be defined as a measure of the amount of matter an object or a body comprises of. The standard unit of measurement of the mass of an object or a body is kilograms. Irrespective of the location of an object or a body at a given moment in time, the mass (amount of matter that they're made up of) is constant.

plz help plz i cant do it

Answers

A : KE = 0 j & PE = 4 j

B : KE = 2 j & PE = 2 j

C : KE = 4 j & PE = 0 j

D : KE = 0 j & PE = 4 j

Answer:

Hey buddy this is the correct answer

Explanation:

A : KE = 0 j & PE = 4 j

B : KE = 2 j & PE = 2 j

C : KE = 4 j & PE = 0 j

D : KE = 0 j & PE = 4 j

HAVE A GREAT DAY<3

Why x rays have different properties from light even though both originate from orbital transition of electrons in excited atoms?

Answers

Answer:

he difference between X-rays and visible radiation is in the energy of each foton.

Explanation:

Visible light and X-rays are electromagnetism waves with the same origin betray the atomic, but the energy of transioin wings is different,

         E = h (v_f - v₀)

With this equation we see that the energy is proportional to the difference between the atomic levels where the ranscion occurs, the X-rays the transition involves deep levels n = 1 or 2 for which the energy of the emitted photon is very high.

The visible radiation the transition is between levels closer so that the emitted light has a lower frequency and is in the range of the visibly

Consequently, the difference between X-rays and visible radiation is in the energy of each foton.

If an object is in freefall it will experience air blank which generates a drag force

Answers

Answer:

Resistance

Explanation:

I believe it is air resistance but I could be wrong.

The question is fishing for "air resistance", but that's a mistake by whoever wrote the question.

"Free fall" means that gravity is the ONLY force on the body. If there's any air resistance, then it's not free fall.

HELP⚠️⚠️

Your Best friend gets on a ship and travels away fast. They return 10.0 years later and I’ve only aged 4.00 years. How fast was your friend traveling? Give your answer as ex. 0.5c

Answers

Answer:

I think u are traeling at speed of light and not ur friend

Explanation:

You are going at the speed of light but not your friend

What does 'MET' stands for?

Answers

Answer:

MET = Metabolic equivalent of task.

a box of mass 4kg slides on the horizontal surface with kinetic frictional force of 8N. what coefficient of friction between the box and horizontal surface​

Answers

Answer:

ų=0.8

Explanation:

F=mg

F=4×9.81=39.24N

Ff=Fn-F

=39.24-8=31.24

ų=Ff÷Fn

=31.24÷39.24

=0.8

If g were 15 instead of 9.81, what would your quads look like?

Answers

Answer:

Quads will have more energy

Explanation:

If the acceleration due to gravity increases from 9.81 to 15, then the velocity will increase as the rate of changing velocity i.e acceleration has increased from 9.81 to 15 m/s^2

With increase of velocity, the energy and force will also increase. Hence, the squad will require/have higher energy.

A group of students designed the string drip system to water plants without irrigation, as shown in the image. They placed a jug
next to a plant with the jug's mouth above the plant's pot. Then, they placed one end of a piece of cotton string at the bottom of
the jug and inserted the other end into the soil, about 8 cm deep, close to the plant's root. They kept the string out of direct
sunlight. Finally, they added water to the jug. After a few days, the students decided that their drip was too slow.
ago
How might the students modify their design to increase the controlled drip?
O A.
use a wider jug
B. use a longer string
O c. add more water to the jug
O D. add more strings to the design

Answers

Answer:

D add more string and water

add more water to the jig

The point A on the above graph is an example of
extrapolation
variation
interpolation
average method

Answers

Answer:

Interpolation

Explanation:

The graph shows that it falls between 2 values and interpolation means that you estimate the unknown values that fall between the 2 values. Hope this helps!

The data point A is between two given data points and it lies within the line connecting the data points, thus we can conclude that point A is an example of interpolation.

Extrapolation is the process of extending a line connecting the data points beyond the given data points to make inferences based on the previous trend of the data set. This helps us to understand what will happen in the future if the trend continues in the same manner.

Interpolation is the process of determining an unknown variable between two known variables. In this process the data point is located within the line connecting the data points.

In this given graph, the data point A is between two given data points and it lies within the line connecting the data points, thus we can conclude that point A is an example of interpolation.

Learn more here: https://brainly.com/question/11958294

Why does the needle of a compass point north?
a. Because the southern pole of the Earth's magnet repels it.
b. Because the southern pole of the Earth's magnet is in the north.
Because the northern pole of the Earth's magnet is in the north
d. Because the Earth's core is made of steel.
C.

Answers

Answer:

b. Because the southern pole of the Earth's magnet is in the north.

Explanation:

This is very weird to think about but Earth's southern magnetic pole is in Earth's geographic north. So when compass points north, it is actually getting attracted to the southern magnetic pole (that is actually located in the north direction- geographic location- in earth).

Other Questions
outside the court ard is 120 m, find the width of the path.A square garden has an area of 441 m. If the path of uniform width surrounding inside thegarden is 216 m, find the width of the path. 16. What can you do to make a persuasive essay more persuasive? (Select all 3 correct answers.)Revise your thesis statement, making it easier to recognize.Provide more evidence in support of your essay's claim.Add transition words and phrases to make ideas flow smoothly.Replace rhetorical, highly nuanced words with more neutral words. If two line segments are congruent, which of the following must be true?A.They are equal.B.They have equal lengths.C.They share an endpoint.D.They form a right angle. something you see on the road on sidewalks(connotation) Escribir un texto en el que se relacionen TODAS estas palabras: Ministros administrar intendente presidente gobernador nacional provincial - municipal Evaluate to what extent community institutions have or currently supporting communities affected by human rights violations. use an example where is singareni coal mines situated What is the predicted end-of-year value of a portfolio that begins the year with $200, in stocks and $100 in bonds? . . . . . . 867 runners entered a race. 276 more entered beforethe race started. How many runners are in the race?A1,143B5911,043D239,292 Which nursing action is performed according to guidelines for aspirating fluid from a small-bore feeding tube How many moles of Aluminum are in 54.0 grams of Aluminum (Al) If you fold the number line so that the vertical crease goes through 0,the points you label would match up explain why this happens Please solve fast. I will give Brainleist or whatever its called solve b=3/4 a a+b=21 in comparing two species that look different, how could a comparison of the species genes contribute to an understanding of their evolutionary relationship? this is a written response pls help:( Find the missing coordinate to complete the ordered-pair solution to the given linear equation.y=8x + 2(a) (0, ?)(b) (3,?) How does an American become friends with a French person, especially when they appear to be cold, but seem to like you? Any tips? Thanks! I already know French and please dont give me common sense responses, i would like actual tips/advice, I mean this nicely haha Please help and thank you. I Will give brainliest . If you help me I give you brainlist