a concave makeup mirror is designed so that a person 25 cm infront of it sees an upright image at a distance of 50 cm behind the mirror. what is the radius of curvature of the mirror ? what is the magnification of the image and is it real or virtual?
man. this is confusing help!

Answers

Answer 1

Explanation:

To calculate the radius of curvature of a concave makeup mirror that produces an upright image at a distance of 50 cm behind the mirror when an object is placed 25 cm in front of it, you can use the formula:

R = 2f

where R is the radius of curvature and f is the focal length of the mirror.

To find the focal length of the mirror, you can use the formula:

1/di + 1/do = 1/f

where di is the distance of the image from the mirror, do is the distance of the object from the mirror, and f is the focal length of the mirror.

In this case, do is equal to 25 cm, and di is equal to 50 cm. Plugging these values into the formula gives:

1/50 cm + 1/25 cm = 1/f

Solving for f gives:

f = (50 cm * 25 cm) / (25 cm - 50 cm) = -25 cm

Since the focal length is negative, this indicates that the mirror is concave.

Plugging the value for f into the formula for the radius of curvature gives:

R = 2 * (-25 cm) = -50 cm

This means that the radius of curvature of the mirror is 50 cm.

To calculate the magnification of the image, you can use the formula:

m = -di/do

Plugging in the values for di and do gives:

m = (-50 cm)/(25 cm) = -2

This means that the magnification of the image is -2.

Since the magnification is negative, the image is virtual and is located on the same side of the mirror as the object. Additionally, since the magnification is less than 1, the image is inverted relative to the object.


Related Questions

2 What is the net force on an object when you combine a force of 17 N north with a force of 9 N north?
Be sure to include the direction of the force.

Answers

Answer:

5N NORTH

Explanation:right on edge

how is momentum of an object related to stopping distance​

Answers

Answer:

To stop a car must lose its momentum and its kinetic energy. ... If the forces on two cars are equal then the greater the kinetic energy the greater the distance before stopping. But there will be a relationship to the momentum because momentum and mass are both related to the kinetic energy.

A small person was running way faster than a bigger person that weighed more collided in a football game. Who would be pushed back or down?

Answers

Answer:

smaller one

Explanation:

even though he is moving quicker doesn't mean he will be packing more force in the collision

If both cars are the same mass and hit each other at the same speed (in opposite directions):

1.) They both come to a stop.

2.) They come out of the collision at random speeds.

3.) They come out of the collision at the same speeds they entered it.

4.) They come out of the collision at the same velocities they entered it.

Answers

maybe 2? i’m not sure sorry :/

Which of the following best describes the circuit shown below?

A. Short
B. Combination
C. Series
D. Parallel

Answers

Answer:

The answer is C. Series.

Two waves, each with an amplitude of 0.5m are superimposed with constructive interference such that they are in phase. Describe the resultant amplitude

Answers

The resultant amplitude of the two waves is 1.0m

Interference occurs when two or more waves are superimposed over each other.

These waves can either be destructive or constructive in nature. If the waves are superimposed with constructive interference such that they are in phase, the resultant amplitude will be the sum of the amplitude of both waves.

Resultant amplitude = 0.5m + 0.5m

Resultant amplutude = 1.0m

Hence the resultant amplitude of the two waves is 1.0m

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Light travels at the same speed at all times. True False

Answers

Answer:

true hope this help :}

Explanation:

The answer is true for this

A uniform plank of mass 10kg and length 10m rests on two supports, A and B as shown. A boy of weight 500N stands at a distance of 2m from A. Find the reaction forces U¹ and U² at the supports A and B respectively​

Answers

Answer:

U² = 142.86 N

U¹ = 357.14 N

Explanation:

Taking summation of the moment about point A, we get the following equilibrium equation: (taking clockwise direction as positive)

[tex]W(2\ m) - U^2(7\ m) = 0[/tex]

where,

W = weight of boy = 500 N

U² = reaction ay B = ?

Therefore,

[tex](500\ N)(2\ m)-(U^2)(7\ m)=0\\U^2=\frac{1000\ Nm}{7\ m}\\[/tex]

U² = 142.86 N

Now, taking summation of forces on the plank. Taking upward direction as positive, for equilibrium position:

[tex]W-U^1-U^2=0\\500\ N - 142.86\ N = U^1\\[/tex]

U¹ = 357.14 N

What is the color of lava at its hottest? Help asap

Answers

Answer:

the color the lava would be is orange

Explanation:

molten rock, known as magma, erupts through fissures in earths crust becoming lava. If that lava rises above 525 C (977 F) it glows red, with hotter lavas it becomes orange or even yellow.

hope this helps you.

Kamal, Kamala, Krishna invert a sum of RS= 30,000 on a business in the ratio 2 : 3 : 5. Find the each of their investment.​

Answers

Answer:

Explanation:

Kamal, Kamala, Krishna invert  in the ratio 2 : 3 : 5.

As 2+3+5 =10, their respective share is 2/10, 3/10 and 5/10.

Sum of investment = 30000Rs

Kamal's investment = 30000 * 2/10 = 6,000 Rs

Kamala's investment = 30000 * 3/10 = 9,000 Rs

Krishna's investment = 30000 * 5/10 = 15,000 Rs

Which statement is true of an alpha particle?

A. It is electromagnetic radiation, not a true particle.

B. It is an electron.

C. It is the largest decay particle

D. It is a particle that travels at the speed of light.​

Answers

Answer:

Atoms are made up of various parts; the nucleus contains minute particles ... neutrons, and the atom's outer shell contains other particles called electrons. ... Physical Forms of Radiation; Radioactive Decay; Nuclear Fission; Ionizing Radiation ... of high-energy waves that can travel great distances at the speed of light and ...

Explanation:

The true statement of an alpha particle is it is an electron. The correct option is B.

What is an alpha particle?

The alpha particle are composite particles which consists of two protons and two neutrons tightly bonded together. They are ejected from the inside the nucleus of heavy radioactive particles, also called alpha decay.

Atoms are made up electrons orbiting in outer shells, protons and neutrons in the nucleus. The radioactive particle emit highly ionized radioactive rays which ionize electrons emitting alpha particle.

Thus, the correct option is B.

Learn more about alpha particle.

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Four round objects of equal mass and radius roll without slipping along a horizontal surface that then bends upward and backward into an arc of half a circle. The objects all have the same linear speed initially. The objects are a hollow cylinder, a solid cylinder, a solid sphere, and a hollow sphere. The objects to go up the arc and exit the are going in the opposite direction they entered without falling off the arc. Now, several trials are run for each object. For each trial, the initial speed of the object is reduced until the object does not make it through the full arc. The speed needed for each object to just make it through the arc is recorded. Which of the following correctly lists the objects in order from fastest to slowest speed needed to make it through the arc?

A. Hollow cylinder, hollow sphere, solid cylinder, solid sphere
B. Hollow cylinder, solid sphere, solid cylinder, hollow sphere
C. Solid sphere, solid cylinder, hollow sphere, hollow cylinder
D. Solid sphere, hollow sphere, solid cylinder, hollow cylinder
E. Hollow sphere, solid cylinder, hollow cylinder, solid sphere

Answers

Answer:

A

Explanation:

inertia Equation for All Object is k m

inertia Equation of Hollow Cylinder I = m R²

inertia Equation of Solid Cylinder I = ½ m R²

inertia Equation of Hollow Sphere I = ⅔ m R²

inertia Equation of Solid Sphere I = 2/5 m R²

to find the speed needed we can use Mechanical Energy (ME). or Total Energy.

ME = Translation Kinetic Energy + Rotation Kinetic Energi

ME = ½ m v² + ½ I w²

ME = ½ m v² (1 + k)

v² = 2ME / m(1+k)

sinnce all objects have the same mass, we can figure that v² is proportionally with 1/(1+k)

v²(hc) = 1/(1+1) = ½ = 0.5

v = 0.707

v²(sc) = 1/(1+½) = 2/3 = 0.67

v = 0.818

v²(hs) = 1/(1+⅔) = 3/5 = 0.6

v = 0.744

v²(ss) = 1/(1+²/5) = 5/7 = 0.71

v = 0.842

these is the ratio of speed they produce in the end of the arc with initial speed = 0 m/s

so, if we must give speed to the object so that it can reach the end of the arc, the fastest speed is given to hollow cylinder and the slowest speed is given to Solid Sphere

Then the answer is

HC, HS, SC, SS

Solid sphere, solid cylinder, hollow sphere, hollow cylinder  correctly lists the objects in order from fastest to slowest speed needed to make it through the arc.

What is inertia?

A body's inertia is a characteristic that makes it resist attempts to move it or, if it is already moving, to change the speed or direction of it.

Mathematically:

inertia All Object is = k m R²

inertia of Hollow Cylinder I₁ = m R²

inertia of Solid Cylinder I₂ = ½ m R²

inertia of Hollow Sphere I₃ = ⅔ m R²

inertia of Solid Sphere I₄ = 2/5 m R²

Total kinetic energy of a body while it roll without slipping  = Translation Kinetic Energy + Rotation Kinetic Energi

= ½ m v² + ½ I w²

= ½ m v² (1 + k)

= 2 KE / m(1+k)

Since all objects have the same mass and, v² can be expressed as proportionally with 1/(1+k).

For hollow cylinder: v₁² = 1/(1+1) = ½ = 0.5

v₁ = 0.707

For solid cylinder: v₂²= 1/(1+½) = 2/3 = 0.67

v₂ = 0.818

For hollow sphere: v₃² = 1/(1+⅔) = 3/5 = 0.6

v₃ = 0.744

For solid sphere: v₄² = 1/(1+²/5) = 5/7 = 0.71

v ₄= 0.842

The objects in order from fastest to slowest speed needed to make it through the arc are correctly listed as:

solid sphere > solid cylinder > hollow sphere >  hollow cylinder.

Option (C) is correct.

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How can I rewrite the equation a - b = d using addition?

Answers

Explanation:

A=b+d that is the way to rewrite the equation

pls answer this question

Answers

Explanation:

on the left side the forces add to 150N

on the right side the forces add to 300

you then take away 150 from 300

=150N to the right

answer Is C

What is the velocity of a 65 kg runner with 90 kg m/s of momentum.

Answers

Answer:

[tex]\boxed {\boxed {\sf v \approx 1.46 \ m/s}}[/tex]

Explanation:

Momentum is the product of mass and velocity.

[tex]p=mv[/tex]

We know the mass is 65 kilograms and the momentum is 90 kilograms meters per second.

[tex]m= 65 \ kg \\p= 95 \ kg \ m/s[/tex]

Substitute the values into the formula.

[tex]95 \ kg \ m/s= 65 \ kg *v[/tex]

Since we are solving for velocity, we must isolate the variable (v). It is being multiplied by 65 kg. The inverse of multiplication is division, so we divide.

[tex]\frac {95 \ kg \ m/s}{65 \ kg }= \frac {65 \ kg *v}{65 \ kg}[/tex]

[tex]\frac {95 \ kg \ m/s}{65 \ kg }=v[/tex]

The kilograms cancel when divided.

[tex]1.46153846 \ m/s=v[/tex]

Let's round to the nearest hundredth. The 1 (in the thousandth place) tells us to leave the 6.

[tex]1.46 \ m/s \approx v[/tex]

The velocity is approximately 1.46 meters per second.

Which of the following situations best represents a set of balanced forces?
Group of answer choices

A 12 N of force pulling left while a 22 N of force pulls right.

A 6 N of force pulling left while a 10 N of force pulls right.

A 2 N force and a 10 N force pulling left while a 12 N force pulls right.

A 22 N force pulling left while a 6 N force and a 12 N force pulls right.

Answers

Answer:

A 2 N force pulling and a 10 N force pulling left while a 12N force pulls right.

Which is used to zero a triple beam balance
A.
the pan
B.
a rider
C.
a beam
D.
the tare knob

Answers

The answer is the sliders on the valence beam when the pan is empty

When 525 J of heat is added to 7.6 g of metal at 26°C, the temperature increases to 80°C. What is the specific heat of the metal?

Answers

Ans the answer is 0.25J

Explanation

i guess

Which of the following is NOT true about noon in the Northern Hemisphere, on January 1?
A. The sun has reached its highest altitude for that day.
B. Your shadow is the shortest it will be that day.
C. Your shadow points due north.
D. The Sun is directly overhead.

Answers

Answer:

The answer is D

Explanation:

Is sodium chloride a reactant

Answers

Answer:

yes it is a reactant

If sound waves require a medium (material) to vibrate in order to produce a sound, can sound waves travel in outer space? Why or why not?

Answers

Sound waves requires a medium (material) to vibrate in order to produce a sound. So sound waves cannot travel in outer space as it is vacuum.

How can seismographs be used to predict hurricane intensity?

Answers

Answer: The earth is a noisy place. Seismometers, which measure ground movements to detect earthquakes, volcanic eruptions, and manmade explosives, are constantly recording smaller vibrations caused by ocean waves, rushing rivers, and industrial activity.

Explanation:

Only the healthy foods we eat provide
energy to our body
true
false

Answers

Answer:

True

Explanation:

Yes absolutely the food which provede us energy is termed as healthy..

When acceleration and velocity are the in the same direction, the speed will​

Answers

Answer:

slowing down.

Explanation:

acceleration points in the same direction as the velocity, the object will be speeding up. And if the acceleration points in the opposite direction of the velocity, the object will be slowing down

Laundry in a clothes dryer often becomes charged with static electricity while drying. Which of these best explains why a clothes dryer often generates static electricity?
A: Heat from the dryer charges the air and produces lightning.
B: Clothes with metal pieces conduct electricity in the dryer.
C: Electrons are transferred as clothes rub against each other in the dryer.

Answers

C- Electrons are transferred as clothes rub against each other in the dryer.

A boy who is riding his bicycle, moves with an initial velocity of 5 m/s. ten second later, he is moving at 15 m/s. what is his acceleration

Answers

[tex]\Large {{ \sf {Question :}}} [/tex]

A boy who is riding his bicycle, moves with an initial velocity of 5 m/s. Ten second later, he is moving at 15 m/s. What is his acceleration?

[tex]\Large {{ \sf {Given :}}} [/tex]

Initial Velocity (u) - 5 m/sFinal Velocity (v) - 15 m/sTime (t) - 10 sec

[tex]\Large {{ \sf {Formulae :}}} [/tex]

If the velocity of an object changes from an initial value u to the final value v in time t, the acceleration a is, [tex]a \: = \frac{v - u}{t} [/tex][tex]\Large {{ \sf {Step-by-step explanation :}}} [/tex]

[tex]a \: = \frac{v - u}{t} \\ or \: \: a = \frac{(15 - 5)}{10} m \: s^{ - 2} \\ or \: \: a \: = \frac{10}{10}m \: s^{ - 2} \\ or \: \: a = 1m \: s^{ - 2} [/tex]

[tex]\Large {{ \sf {Answer :}}} [/tex]

His acceleration is [tex]1m \: s^{ - 2} [/tex]

Seasons are more noticeable in places that are____from to the equator

Farther
Or
Closer

2.gravity and wind move water
True or false

It is for today pls help

Answers

1. farther
2. true

the equator is a weirdo

A decibel measures the _____________ of sound.

A.pitch

B,frequency

C.loudness

D.amplitude

Answers

Decibels measure sound intensity- which would be D. Amplitude.

A student constructs four electric circuits.
Each circuit includes two bulbs and an ammeter.
All the bulbs, all the cells and all the ammeters are identical.
The ammeter readings for the first two circuits are shown.
Use values from the box to complete the ammeter readings for the other two circuits.

Answers

Answer:

Part A

The ammeter reading for the current flowing through the second bulb, in the third circuit is 0.43 A

Part  B

The ammeter reading for the total current coming from the cell is 0.86 A

Explanation:

The given electric circuit schematics includes;

The number of bulbs in each circuit = 2 bulbs

The number of ammeter in each circuit = 1 ammeter

The number of cells in each circuit = 1

Each circuit have identical bulbs, cells and ammeters

Part A

Ammeter reading for the third circuit

The given reading for the total current going to the cell, [tex]I_T[/tex] = 0.86 A

The reading for the current flowing through one of the bulbs, I₁ = 0.43 A

Therefore, given that the bulbs are arranged in parallel, and the bulbs have identical resistance, 'R', the current flowing in the second bulb, I₂, is given by the current divider rule as follows;

[tex]I_2 = \dfrac{R}{R + R} \times I_T = \dfrac{R}{2 \cdot R} \times I_T = \dfrac{1}{2} \times I_T[/tex]

∴ The ammeter reading for the current flowing through the second bulb, in the third circuit I₂ = (1/2) × (0.86 A) = 0.43 A

Part B

Ammeter reading for the third circuit

The total current coming from the cell = The current passing through the bulbs = I₁ + I₂

The ammeter reading for the total current coming from the cell = 0.43 A + 0.43 A = 0.86 A = [tex]I_T[/tex]

First term / second mid Exam [1433/ 1434] Q12. A conductor of radius I, length and resistivity p has resistance R. What is the new resistance if it is stretched to 4 times its original length?

Answers

Answer:

R' = 4R

Hence, the resistance increases to four times its initial value as well.

Explanation:

The resistance of a conductor in terms of its physical dimensions can be given by the following formula:

[tex]R = \frac{\rho L}{A}\\[/tex]  _______ equation (1)

where,

R = Resistance of the conductor

ρ = resistivity of the material of the conductor

L = Length of the conductor

A = Cross-sectional Area of the conductor

Now, if the length of the conductor is increased to four times, keeping other values constant, then:

[tex]R' = \frac{\rho L'}{A}\\\\R' = \frac{\rho (4L)}{A}\\\\R' = 4\frac{\rho L}{A}[/tex]

using equation (1):

R' = 4R

Hence, the resistance increases to four times its initial value as well.

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