When you look at yourself in a convex mirror, you appear to be ¼ your actual size. If you are standing 1.0 m in front of the mirror, what is the mirror’s focal length and radius of curvature. (Be sure to first sketch the situation).

Answers

Answer 1

Answer:

The focal length is   [tex]f = -0.2 \ m[/tex]

The radius of curvature is [tex]R = -0.4 \ m[/tex]

Explanation:

From the question we are told that

       The magnification of the mirror is  [tex]m = \frac{1}{2}[/tex]

       The distance of the person from the mirror(the object distance ) is  [tex]u = - 1.0 \ m[/tex]

        The negative sign shows that it is been placed in front of the mirror

         

Generally the magnification of the mirror is mathematically represented as

       [tex]m = \frac{v}{u}[/tex]

=>   [tex]\frac{1}{4} = \frac{v}{-u}[/tex]

=>   [tex]v = \frac{- 1}{4}[/tex]

Generally from the lens equation we have that

        [tex]\frac{1}{f} = \frac{1}{u} + \frac{1}{v}[/tex]

=>     [tex]\frac{1}{f} = \frac{1}{-1 } + \frac{1}{-\frac{1}{4} }[/tex]

=>     [tex]f = -0.2 \ m[/tex]

Generally the radius of curvature is  mathematically represented as

         [tex]R = 2 * f[/tex]

=>      [tex]R = 2 * - 0.2[/tex]

=>      [tex]R = -0.4 \ m[/tex]


Related Questions

The compound formed from the elements calcium and chlorine is known as

Answers

Answer:

calcium chloride

Explanation:

an inorganic compound,a salt with the chemical formula CaCl2

20 pts


The earth's North Pole is slightly:
O electric
O magnetic
O electromagnetic

Answers

Answer:

magnetic

Explanation:

that is how compasses work

Ultrasound is:

a
of lower frequency than the human ear can detect.

b
the speed at which the latest, top-secret jet aircraft fly.

c
used to make internal images of the human body.

d
extremely painful to the human ear.

Answers

Answer:

C

Explanation:

not A as those are frequency higher than what human can hear

b is a joke

WGVU-AM is a radio station that serves the Grand Rapids, Michigan area. The main broadcast frequency is 1480kHz. At a certain distance from the radio station transmitter, the magnitude of the magnetic field of the electromagnetic wave is 3.0x10^-11T.
a. Calculate the wavelength
b. What is the angular velocity?
c. Find the wave number of the wave.
d. What is the amplitude of the electric field at this distance from the transmitter?

Answers

Answer:

a

  [tex]\lambda = 202.7 \ m[/tex]

b

  [tex]w = 9.3 *10^{6} \ rad/s[/tex]

c

  [tex]k = 0.031 m^{-1}[/tex]

d

  [tex]E_{max} = 9.0 *10^{-3} \ V/m[/tex]

Explanation:

From the question we are told that  

       The frequency of the radio station is  [tex]f= 1480 \ kHz = 1480 *10^{3}\ Hz[/tex]

         The magnitude of the magnetic field is  [tex]B = 3.0* 10^{-11} \ T[/tex]

Generally the wavelength is mathematically represented as

          [tex]\lambda = \frac{c}{f}[/tex]

Here c is the speed of light with value  [tex]c = 3.0 *10^{8} \ m/s[/tex]

So

        [tex]\lambda = \frac{3.0 *10^{8}}{ 1480 *10^{3}}[/tex]

=>      [tex]\lambda = 202.7 \ m[/tex]

Generally the angular frequency is mathematically represented as

       [tex]w = 2 \pi * f[/tex]

=>   [tex]w = 2 * 3.142 * 1480 *10^{3}[/tex]

=>   [tex]w = 9.3 *10^{6} \ rad/s[/tex]

Generally the wave number is mathematically represented as        

=>      [tex]k = \frac{2 \pi }{\lambda}[/tex]

=>      [tex]k = \frac{2 * 3.142 }{ 202.7}[/tex]

=>      [tex]k = 0.031 m^{-1}[/tex]

Generally the amplitude of the electric field at this distance from the transmitter is mathematically represented as

         [tex]E_{max} = c * B[/tex]

=>      [tex]E_{max} = 3.0 *10^{8} * 3.0* 10^{-11}[/tex]

=>      [tex]E_{max} = 9.0 *10^{-3} \ V/m[/tex]

A tennis ball moves 16 meters northward, then 22 meters southward, then 12 meters northward, and finally 32 meters southward.

Answers

U didn’t ask a question so I’ll just say that’s cool that it moves like that

A brick of mass 2.0kg is at rest. It falls to the ground through a
distance of 5.0 m. The acceleration of free fall g is 10 m/s2.
Air resistance can be ignored. At what speed does the brick hit
the ground?

Answers

Answer:

I may not have the answer so i'll just give up some hints.

Multiply the time by the acceleration due to gravity to find the velocity when the object hits the ground. If it takes 9.9 seconds for the object to hit the ground, its velocity is (1.01 s)*(9.8 m/s^2), or 9.9 m/s. Choose how long the object is falling. In this example, we will use the time of 8 seconds. Calculate the final free fall speed (just before hitting the ground) with the formula v = v₀ + gt = 0 + 9.80665 * 8 = 78.45 m/s . Find the free fall distance using the equation s = (1/2)gt² = 0.5 * 9.80665 * 8² = 313.8 m .h = 0.5 * 9.8 * (1.5)^2 = 11m. b. V = gt = 9.8 * 1.5 = 14.7m/s. A feather and brick dropped together. Air resistance causes the feather to fall more slowly. If a feather and a brick were dropped together in a vacuum—that is, an area from which all air has been removed—they would fall at the same rate, and hit the ground at the same time.When an object's point is taller the thing that is going down it will go faster than when the point is lower. EXAMPLE: The object is the tennis ball if you drop it down the higher hill it will be faster than if you drop it down a shorter hill. In other words, if two objects are the same size but one is heavier, the heavier one has greater density than the lighter object. Therefore, when both objects are dropped from the same height and at the same time, the heavier object should hit the ground before the lighter one.

I hope my little bit (big you may say) hint help you with your question.

The change of distance with respect to time is defined as speed.  Speed is a scalar quantity. The speed of brick while hits the ground is 9.90 m/sec.

What is velocity?

The change of distance with respect to time is defined as speed.  Speed is a scalar quantity. It is a time-based component. Its unit is m/sec.

The given data in the problem is

m is the mass of block =2.0 Kg

u is the initial velocity of fall =0 m/sec

h is the distance of fall = 5.0 m

g is the acceleration of free fall =10m/sec²

v is the hitting velocity of brick=?

According to Newton's third equation of motion

[tex]\rm v^2=u^2+2gh\\\\ \rm v^2=2gh\\\\ \rm v= \sqrt{2gh}[/tex]

[tex]\rm v= \sqrt{2\times 9.81 \times 5.0} \\\\ \rm v=9.90\;m/sec[/tex]

Hence the speed of the brick while hits the ground is 9.90 m/sec.

To learn more about the speed refer to the link ;

https://brainly.com/question/7359669

Given f(x)=2x+7, which of the following is the value of x when f(x)=13?

Answers

Answer:

The value of x is 3

Explanation:

Equation Solving

We are given the equation

f(x) = 2x + 7

Let's find the value of such that f(x) = 13.

2x + 7 = 13

Subtracting 7:

2x = 13 - 7

2x = 6

Dividing by 2:

x = 6/2

x = 3

The value of x is 3

For an n- channel JFFT, IDSS = 8 mA, and VP = - 6 V. If VGS = - 2 V. What is the value of the drain current ID?

Answers

Answer: the value of the drain current ID is 3.56 mA

Explanation:

Given that;

IDSS = 8 mA

VP(VGS_OFF) = - 6 V.

VGS = - 2 V

value of the drain current ID = ?

Drain current ID is expressed as;

ID = IDSS [ 1 - (VGS/VP(VGS_OFF)) ]²

we substitute our value

ID = 8 [ 1 - (-2 / -6) ]²

ID = 8 [ 1 - 0.3333 ]²

ID = 8 [ 0.6667 ]²

ID = 8 [ 0.4444 ]

ID = 3.5552 ≈ 3.56 mA

Therefore the value of the drain current ID is 3.56 mA

What are Newton’s 3 laws of motion?

Answers

Answer: It states that for every action, there is an equal and opposite reaction.

I hope this helps, and Happy Holidays! :)

A cross-country skier moves 36 meters eastward, then 44 meters westward, and finally 22 meters eastward.

Answers

Complete question is;

A cross-country skier moves 36 meters eastward, then 44 meters westward, and finally 22 meters eastward. What's the Magnitude and Direction?

Answer:

Magnitude = 14 m

Direction = eastward

Explanation:

The magnitude and direction of this cross-country skier will be the gotten from his displacement.

Now, from directions of 4 cardinal points, we can say that the eastward direction is on the positive x-axis and is positive while the westward direction is on the negative x-axis and is negative.

From those positive and negative signs above, we can represent the movement of the skier as;

moves 36 meters eastward = 36 m

moves 44meters westward = -44 m

Moves finally 22 meters eastward = 22

Thus, displacement will be:

36 - 44 + 22 = 14

It is positive, and thus, the magnitude is 14 and the direction is east ward.

how large amount of energy is produced during the fission of uranium ​

Answers

Answer:

answer is a very large amount of energy is produced from a very small mass

Explanation:

nuclear energy is produced either by fusion or fission the former is fusion of lighter atoms into heavier elements while the letter is the splitting of a heavier atom into lighter atoms. both produce tremendous amount of energy fusion causes compassion of mass wild fission reduces it. and produce it. fusion does not produce radioactive particles while fission does (alpha and beta particles and neutrons)

If the x-component of vector A in the figure below is 3cm and the y component of A is 4cm, then what is the vector quantity of A?

Question 9 options:

25 cm - 37 degrees


7 cm - 37 degrees


7 cm - 53 degrees


5 cm - 53 degrees

Answers

Answer:

5 cm - 53 degrees

Explanation:

[tex] \sqrt{ {4}^{2} + {3}^{2} } = 5cm[/tex]

[tex] \tan ^{ - 1} (4 \div 3) [/tex] = 53°

What is the correct unit for the following measurement?

Jane wants to know how long her room is.
gm/cm3
liters (L)
cubic centimeters (cm3)
Celsius (°C)
grams (g)
meters (m)

Answers

If Jane wants to know how long her room is, the correct unit for the measurement is meters (m).

In the question, we are told that Jane wants to measure her room. This means that Jane wants to measure length. The only unit of length that is mentioned among the options is meters (m).

This means that, if Jane wants to know how long her room is, the correct unit for the measurement is meters (m).

Learn more: https://brainly.com/question/8646601

Answer: meters (m)

Explanation:

A torque acting on an object tends to produce..

Answers

Torque will produce rotation

Answer:rotation

Explanation:

A tennis ball is traveling at 50 m/s and has a kinetic energy of 75J. Calculate the mass of the tennis ball.

Answers

couldn’t fit all of it , but here luv

If the same force is applied to each of these balls, which one will have the LEAST
acceleration
A
m 1.0 kg
B
m=7.3 kg 1
С
m=0.75 kg
D
m=0.5 kg

Answers

Answer:

d is the awnser

Explanation:

MABY?!??

One of two 25-year-old identical twins begins a trip on a spaceship traveling at 0.8 c while her twin remains on Earth. The twin on Earth tracks her twin's trip for 10 years. After ten years, what age is the twin on the spaceship according to the twin on Earth?
a. 41.7 years old.
b. 35 years old.
c. 31 years old.
d. 37.5 years old.

Answers

Answer 41.7 years old

I answer this question already and it was correct!

characteristics of projectile motion.

Answers

Answer:

Objects experiencing projectile motion have a constant velocity in the horizontal direction and a constantly changing velocity in the vertical direction. The trajectory resulting from this combination always has the shape of a parabola.

Explanation:

Answer:

Projectile motion is made up two independent motions: Uniform motion at constant velocity in the horizontal direction and Free-fall motion in the vertical direction. Although the horizontal and vertical motions of a projectile are independent, they are connected through the time that the object is the the air.

Explain dispersion of light ​​

Answers

[tex]\star\:\:{\sf{\underline{\red{Diagram\:}}}} \\ [/tex]

[tex]\setlength{\unitlength}{1cm} \begin{picture}(1,0) \thicklines\qbezier(0,0)(0,0)(2,2)\qbezier(0,0)(0,0)(4,0)\qbezier(4,0)(2,2)(2,2)\put( - 0.29, 0.45){\line(2,1){1.6}}\put( - 0.29, 0.45){\vector(2, 1){1}}\put(1.2, 1.26){\line(1, 0){1.5}}\put( 1.2, 1.26){\vector(1, 0){0.9}}\put(2.7, 1.26){\line(1, 0){2.5}}\put(2.75,1.25 ){\line(6, -1){2.5}} \put(2.75,1.25 ){\line(5,-2){2.5}} \put(2.75,1.25 ){\line(4,-1){2.5}}\put(2.75,1.25 ){\line(3,-2){2.5}}\put(2.75,1.25 ){\line(5, - 3){2.5}}\put(2.75,1.25 ){\line(5,-4){2.5}}\put(5.5, -1.4 ){\line(0,1){3}}\put(7.2, -1.4 ){\line(0,1){3}} \put(5.7, 1.2 ){ $\bf Red$}\put(5.7, 0.8 ){ $\bf Orange$}\put(5.7, 0.4 ){ $\bf Yellow$}\put(5.7, 0){ $\bf Green$}\put(5.7, - 0.4 ){ $\bf Blue$}\put(5.7, - 0.8){ $\bf

Indigo$}\put(5.7, - 1.2 ){ $\bf Violet $}\end{picture}[/tex]

[tex]\\[/tex]

[tex]\star\:\:{\sf{\underline{\orange{What \:is\: the\: dispersion\: of \:light\:?\:}}}} \\ [/tex]

Passing of white light through a glass prism which splits into spectrum of colours.Those colours are to be said as VIBGYOR (violet, indigo, blue, green, yellow, orange, red).This process is called as dispersion of light

[tex]\\[/tex]

[tex]\star\:\:{\sf{\underline{\blue{Examples \ of \ dispersion \ of \ light\:}}}} \\ [/tex]

Dewdrops in morning (mostly in winter season)Rainbow FormationCD (compact disc)DiamondOil fuel on road

[tex]\\[/tex]

[tex]\star\:\:{\sf{\underline{\purple{Additional\: Information\:}}}} \\ [/tex]

"Dispersion of light" phenomenon is given by Issac Newton.Issac Newton conducted an experiment where he took a glass prism and passed white light rays through it.Violet colour has the highest dispersion of light.

Red is the least deviated colour of light.

The US Patent and Trademark Office is responsible for protecting the intellectual property of inventors. A patent is granted if the idea is original and scientifically valid. A student creates a device that they claim will change the world by changing the way we understand energy. The student includes a table of energy measurements as part of his application.

Answers

Answer:

Deny the patent- the machine violates the law of conservation of mass

Explanation:

Took the test

Help me please..

Suppose a car is moving in a straight line and steadily increases its
speed. It goes from 0 miles/hour to 15 miles/hour the first second and 15
miles/hour to 30 miles/hour the next second. What is the acceleration?

A)10 miles/hour/second

B) 15 miles/hour/second

C) 20 miles/hour/second

D)30 miles/hour/second

Answers

it’s B, 15 miles per hour

What is the effective dose to a worker who receives uniform, whole-body dose of 8.4 mGy from gamma-rays and 1.2 mGy from 80-Kev neutrons?

Answers

Given :

Whole-body dose of 8.4 mGy from gamma-rays and 1.2 mGy from 80-Kev neutrons.

To Find :

The effective dose to a worker.

Solution :

By the given information effective dose to a worker is given by :

E.D = ( 8.4 × 1.2 × 0.12 ) + ( 1.2 × 1 × 1 )

E.D = 1.2096  + 1.2

E.D = 2.4096

Therefore, the effective dose to a worker is 2.4096 .

Please help!!
A person is driving in a circle at 20m/s. Are they accelerating?

Answers

(C) there changing direction

A ping pong ball of mass 0.0027 kg and radius 0.020 m is completely submerged 0.3 m in water. How fast is it moving when it emerges from the water?

Answers

Answer:

The value speed  is  [tex]v = 8.192 \ m/s[/tex]

Explanation:

From the question we are told that

   The mass of the ping pong ball is [tex]m = 0.0027 \ kg[/tex]

    The  radius is  [tex]r = 0.020 \ m[/tex]

     The depth of the ping pong inside the water is  [tex]s = 0.3 \ m[/tex]

Gnerally the force with which the ball will emerge will from the water is mathematically represented as

            [tex]F = B - m g[/tex]

Here B  is the Buoyant force on the ball which is mathematically represented as

         [tex]B = \rho_w * V_b * g[/tex]

Here  [tex]V_b[/tex] is the volume of the ball which is mathematically represented as

       [tex]V_b = \frac{4}{3} * \pi * r^3[/tex]

=>     [tex]V_b = \frac{4}{3} * 3.142 * 0.020 ^3[/tex]

=>     [tex]V_b = 3.35*10^{-5} \ m^3[/tex]

        [tex]\rho_w[/tex]  is the density of water with value  [tex]\rho_w = 1000 \ kg/m^3[/tex]

So  

       [tex]B = 1000 * 3.35*10^{-5} * 9.8[/tex]

=>    [tex]B = 0.3284 \ N[/tex]

So

     [tex]F = 0.3284 - 0.0027 * 9.8[/tex]

=>  [tex]F = 0.3284 - 0.02646[/tex]

=>  [tex]F = 0.3020 \ N[/tex]

Generally force is mathematically represented as

     [tex]F = m * a[/tex]

So

      [tex]0.3020 = 0.0027 * a[/tex]

=>  [tex]a = 111.84 \ m/s^2[/tex]

Generally  from kinematic equation

     [tex]v^2 = u^2 + 2as[/tex]

Here u  is the velocity of the ping pong at depth of  0.3 m and the value is zero given that at that point there was no motion

So

      [tex]v^2 = 0^2 + 2 * 111. 84 * 0.3[/tex]

=>    [tex]v = 8.192 \ m/s[/tex]

During an adiabatic process an object does 100 J of work and its temperature decreases by 5K. During another process it does 25 J of work and its temperature decreases by 5K. Its heat capacity for 2nd process is:_________.
a. 20J/K
b. 24J/K
c. 15J/K
d. 100/K

Answers

Answer:

(C) the heat capacity for 2nd process is 15 J/K.

Explanation:

Given;

work, W = 100 J

change in temperature, = -5 K

For the first process;

dQ = dU + dW

for adiabatic process, dQ = 0

0 = dU + dW

dU = - dW

dU = -100 (This remains the same for the second process).

For the second process;

Let C be the heat capacity for 2nd process.

C (dT) = dU' + dW'

dU' = dU = -100

W' = 25

dT = -5 (decrease in temperature)

C(-5) = -100 + 25

-5C = -75

C = -75 / -5

C = 15 J/K.

Therefore, the heat capacity for 2nd process is 15 J/K.

At what angle in degrees is the first-order maximum for 460-nm wavelength blue light falling on double slits separated by 0.0500 mm?

Answers

Answer:

The angle is [tex]\theta = 0.52^o[/tex]

Explanation:

From the question we are told that

    The number of order is  n =  1

     The wavelength is   [tex]\lambda = 460 \ nm = 460 *10^{- 9} \ m[/tex]

     The separation between the slit is  [tex]d = 0.0500 \ mm = 5 *10^{-5} \ m[/tex]

Generally the condition for constructive interference is  

         [tex]d sin \theta = n * \lambda[/tex]

=>     [tex]\theta = sin^{-1}[\frac{n * \lambda }{ d} ][/tex]

=>    [tex]\theta = sin^{-1}[\frac{1 * 450 *10^{-9}}{ 5*10^{-5}} ][/tex]

=>    [tex]\theta = sin^{-1}[0.009 ][/tex]

=>    [tex]\theta = 0.52^o[/tex]

Find the mass and weight of a body if a resultant force of 850 N causes its speed to increase from 6 m/s to 15 m/s in a time of 5s.

Answers

Hi! Let's see.

TOPIC: Mass and Weight.

Explanation:

Data:

Force(F) = 850 NInitial Velocity([tex]\bold{V_{0}}[/tex]) = 6 m/sFinal Velocity([tex]\bold{V_{f}}[/tex]) = 15 m/sTime(t) = 5 sGravity(g) = 9.8 m/s²Mass(m) = ?Weight(w) = ?

==================================================================

In order to calculate the mass, we must first find the acceleration.

to find the acceleration, we apply the acceleration formula in UARM:

[tex]\boxed{\boxed{\bold{a=\frac{V_{f}-V_{0}}{t}}}}[/tex]

Replace per data:

[tex]\boxed{a=\frac{15\frac{m}{s}-6\frac{m}{s}}{5s}}}}[/tex]

We subtract in the numerator:

[tex]\boxed{a=\frac{9\frac{m}{s}}{5s}}}[/tex]

It divides:

[tex]\boxed{\bold{a=1.8\frac{m}{s^{2}}}}[/tex]

==================================================================

Mass

Knowing it's acceleration, we can proceed to calculate the mass, applying it's formula:

[tex]\boxed{\boxed{\bold{m=\frac{F}{a}}}}[/tex]

Replace:

[tex]\boxed{m=\frac{850N}{1.8\frac{m}{s^{2}}}}}}[/tex]

Newton equivalents to kilograms:

[tex]\boxed{m=\frac{850kg*\frac{m}{s^{2}}}{1.8\frac{m}{s^{2}}}}}}[/tex]

Simplify the m/s²:

[tex]\boxed{m=\frac{850kg}{1.8}}}[/tex]

It divides:

[tex]\boxed{\bold{m=472.22\ kg}}[/tex]

Answer: The mass of the body is 472.22 kilograms.

==================================================================

Weight

To calculate the weight, we use it's formula:

[tex]\boxed{\boxed{\bold{W=m*g}}}}}[/tex]

Replace:

[tex]\boxed{W=472.22*9.8\frac{m}{s^{2}}}}}[/tex]

It multiplies:

[tex]\boxed{\bold{W=4627.75\ N}}}}[/tex]

Answer: The weight of the body is 4627.75 Newtons.

Final Answer:

Mass = 472.22 kg

Weight = 4627.75 N.

Cordially Alejanndraax. Greetings!

Bonnie and Clyde are trying to steal the world's largest diamond from a 10 story
building. Bonnie needs to make a landing spot for when Clyde jumps with the
diamond. She knows they will be jumping from 58 feet. Neglecting air resistance,
what is the speed Clyde will be falling at right before hitting the ground?

Answers

Answer:

The speed Clyde will be falling at is 33.72.

The periodic table is an arrangment of the chemical elements, ordered by atomic number, into families, and by doing so illustrates the periodic properties of the elements. If we review the elements found in the second column of the periodic table, the alkali earth metals, we know one characteristic common to all elements in this family, besides being metals, is that they are

Answers

Answer:

Solid at room temperature

Explanation

Since these elements are metals they must be said at room temperature

Which is NOT a form of erosion?


a

Rivers moving dirt


b

Water running downhill, carving out the land and pushing dirt to the side

c

Water evaporating and condensing

d

Heavy winds blowing soil to other locations

HELP ASAP

Answers

Answer:

water evaporating and condensing, because that's the water cycle and it isnt eroding anything

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