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

A 10.0kg object is moving at 1 m/s when a force is applied in the direction of the objects motion, causing it to speed up to 4 m/s. If the force was applied for 5s what is the magnitude of the force

Answers

Answer:

F = 6[N].

Explanation:

To solve this problem we must use the principle of conservation of linear momentum, which tells us that momentum is conserved before and after applying a force to a body. We must remember that the impulse can be calculated by means of the following equation.

[tex]P=m*v\\or\\P=F*t[/tex]

where:

P = impulse or lineal momentum [kg*m/s]

m = mass = 10 [kg]

v = velocity [m/s]

F = force [N]

t = time = 5 [s]

Now we must be clear that the final linear momentum must be equal to the original linear momentum plus the applied momentum. In this way we can deduce the following equation.

[tex](m_{1}*v_{1})+F*t=(m_{1}*v_{2})[/tex]

where:

m₁ = mass of the object = 10 [kg]

v₁ = velocity of the object before the impulse = 1 [m/s]

v₂ = velocity of the object after the impulse = 4 [m/s]

[tex](10*1)+F*5=10*4\\10+5*F=40\\5*F=40-10\\5*F=30\\F=6[N][/tex]

When will the Social Security fund dry up at its current level?
A.
2022
B.
2027
C.
2042
D.
2097
E.
2117

Answers

Answer:

C. 2042

Explanation:

trust me I know the answer

In 2042 the Social Security fund will dry up at its current level. The correct option is C.

The answer is not entirely clear, as projections can vary depending on various economic and demographic factors. However, based on the 2021 Social Security Trustees Report, the projected depletion date for the Social Security Trust Fund is 2034. This means that at the current rate of payouts and contributions, the Trust Fund will only be able to pay out about 78% of scheduled benefits after 2034.

Therefore, the closest option to the projected depletion date of the Social Security Trust Fund is C. 2042. However, it is important to note that this projection may change as economic and demographic factors change over time.

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Putting the selected answers in parenthesis

A cation has a (Negative, Positive, Neutral) charge, because they have (Lost, Maintained, Gained) electrons. An anion has a (Negative, Positive, Neutral) charge, because they have (Lost, Maintained, Gained) electrons. An atom with the same number and protons and neutrons have a (Negative, Positive, Neutral) charge.

Answers

Answer:

gimmie

Explanation:

A 96 kg man lying on a surface of negligible friction shoves a 75 g stone away from himself, giving it a speed of 7.2 m/s. What speed does the man acquire as a result?

Answers

Answer:

7.21m/s

Explanation:

Using the law of conservation of momentum expressed as;

m1u1 + m2u2 = (m1+m2)v

m1 and m2 are the mass of the man and the stone respectively

u1 and u2 are their respective initial velocities

v is their final common velocity

Given

m1 = 96kg

m2 = 75g = 0.075kg

u1 = ?

u2 = 0m/s (initial speed of the stone)

v = 7.2m/s

Substitute into the firmula and get u1

96u1 + 0.075(0) = (96 + 0.075)(7.2)

96u1 = 96.075(7.2)

u1 = 691.74/96

u1 = 7.21m/s

Hence the man acquired a speed of 7.21m/s

Why are doorknobs placed at the edge of a door rather than in the center

Answers

Answer: so it can reach the frame

Explanation:

Answer:

To increase force on the door

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!

Bob Beamon's 1968 Olympic long jump set a world record which remains unbroken to this day. This amazing jump resulted from an initial velocity of 9.5 m/s at an angle of 40 degrees from the horizontal.
1. Calculate the initial horizontal velocity (V_ix) to two significant figures:

2. Calculate the initial vertical velocity (V_iy) to two significant figures:

3. Calculate the time needed to reach the highest point of the jump (t_1/2) to two significant figures:

4. Calculate the total time (t_TOT) needed to complete the jump to two significant figures:

5. Calculate the maximum height (h) reached during the jump to two significant figures:

6. Calculate the range (total horizontal distance) of his jump to two significant figures:

Please answer today! Thanks!

Answers

Answer:

1.) 7.3 m/s 2.) 6.1 m/s

Explanation:

To calculate the initial horizontal velocity with just degrees and velocity alone is pretty simple. The formula is     Velocity*cos(degrees)

eg 9.5*cos(40)

2.  To calculate the initial vertical velocity with just degrees and velocity alone is pretty simple. The formula Velocity*sin(degrees)

eg 9.5*sin(40)

1+1=?




FIRST ONE TO ANSWER GETS BRAINLIEST!

Answers

Answer:

Thx for points merry Christmas answer 2

Explanation:

Answer:2

Explanation:

Drag each label to the correct location on the chart.
Sort the items based on whether they are simple machines or compound machines.

Answers

Answer:

whatttttttttttttttttttttttttttt are the items we have to classify into simple machines and compound machine

A car jack works when a mechanic uses a force 3.8 N, on a small piston of radius 10 cm. What force can he exert on a larger piston of radius 0.22 m?

Answers

Answer:

18.392 N

Explanation:

Given that,

Smaller force acting on the car, F₁ = 3.8 N

Radius of smaller radius, r₁ = 10 cm = 0.1 m

The radius of the larger piston, r₂ = 0.22 m

We need to find the force exerted on the larger piston. Let it is F₂.

Using the relation,

[tex]\dfrac{F_1}{F_2}=\dfrac{A_1}{A_2}\\\\\dfrac{F_1}{F_2}=\dfrac{\pi r_1^2}{\pi r_2^2}\\\\\dfrac{F_1}{F_2}=\dfrac{r_1^2}{r_2^2}\\\\F_2=\dfrac{F_1r_2^2}{r_1^2}\\\\F_2=\dfrac{3.8\times (0.22)^2}{(0.1)^2}\\\\F_2=18.392\ N[/tex]

Hence, the force exerted on the larger piston is 18.392 N.

Brandon hits a golf ball with an initial velocity of 30 m/s at an angle of 30 above the horizontal. How long is it in the air?

Answers

Given :

Brandon hits a golf ball with an initial velocity of 30 m/s at an angle of 30 above the horizontal.

To Find :

How long is it in the air.

Solution :

We know, the formula of time of flight is :

[tex]T = \dfrac{2usin\ \theta}{g}\\\\T = \dfrac{2\times 30\times sin\ 30^o}{9.8}\\\\T = 3.06\ seconds[/tex]

Therefore, the ball is in air for 3.06 seconds.

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

What is the steady state rate of heat flow through a pane of glass that is 40.0 cm by 30.0 cm with a thickness of 4.00 mm when the outside temperature of the glass is −10.0℃ and its inside temperature is 25.0℃? The thermal conductivity of glass is 0.105 W/(m⋅K); the specific heat of glass is 0.180 cal/(g⋅℃); and 1 cal = 4.190 J.

Answers

Answer:

110.25 watt/s

Explanation:

The rate of heat transfer is given by the formula

R = k*A(T1 - T2) / d, where

k = thermal conductivity, 0.105 (W/(m*K)

d = thickness, 4 mm = 0.004 m

T1 = inside temperature, 25° C

T2 = outside temperatures, -10° C

A = area 0.3 * 0.4 = 0.12 m²

Now, applying the given data to the formula, we have

Rate = 0.105 * 0.12 (25 - -10) / 0.004

Rate = 0.105 * 0.12(35) / 0.004

Rate = 0.105 * 4.2 / 0.004

Rate = 0.441 / 0.004

Rate = 110.25 Watt/s

Therefore, the steady state rate of heat flow is 110.25 watt/s

32. Which type of electromagnetic wave is used for nuclear power and medical treatment?

A. UV wave

B.Radio wave

C.Visible light wave

D. Gamma ray


Which of the following is a way that microwaves and x-rays are similar?

A. They both have technological uses.

B. They are both high energy waves,

C. They are both safe to be exposed to at high doses

D. They are both used to transmit information.​

Answers

Answer:

Answers at the bottom!!

Explanation:

For the first answer: Gamma ray

Gamma rays and x-rays consist of high-energy waves that can travel great distances at the speed of light and generally have a great ability to penetrate other materials. For that reason, gamma rays (such as from cobalt-60) are often used in medical applications to treat cancer and sterilize medical instruments.

For the second answer: They both have technological uses.

In my opinion I'm pretty sure it's A because we do use microwaves and x-rays as technological uses.

Hope this helps!!

Happy Holidays and Season Greeting!!

ii Feliz Navidad a todos !!

Gamma rays and x-rays consist of high-energy waves that can travel great distances at the speed of light and generally have a great ability to penetrate other materials. For that reason, gamma rays (such as from cobalt-60) are often used in medical applications to treat cancer and sterilize medical instruments.

What are gamma rays ?

"A gamma ray (g) is a packet of electromagnetic energy (photon) emitted by the nucleus of some radionuclides following radioactive decay." Gamma photons are the most energetic photons in the electromagnetic spectrum.

What are x-rays ?

"An X-ray, or, much less commonly, X-radiation, is a penetrating form of high-energy electromagnetic radiation." Most X-rays have a wavelength ranging from 10 picometers to 10 nanometers, corresponding to frequencies in the range 30 petahertz to 30 exahertz and energies in the range 145 eV to 124 keV.

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They both have technological uses.

Microwaves and x-rays have in common is all electromagnetic waves, electric and magnetic fields that oscillate together, perpendicular to each other.

What is technological usage?

"The application of practical sciences to industry or commerce." The methods, theory, and practices governing such application. a highly developed technology.  The total knowledge and skills available to any human society for industry, art, science, etc.

What are technological uses of microwave and x-ray ?

Microwaves are used in spacecraft communication, and much of the world's data, TV, and telephone communications are transmitted long distances by microwaves between ground stations and communications satellites. Microwaves are also employed in microwave ovens and in radar technology.

They are used on such products as aircraft and rocket parts and structures, canned and packaged foods, electronics, semiconductors and microchips, thermal insulations, and automobile tires. Material processing technologies use X-ray systems to automatically control the density or thickness of layers of substances.

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A 5.0-g object carries a net charge of 3.8 micro-Coulomb. It acquires a speed v when accelerated from rest through a potential difference V. A 2.0-g object acquires twice the speed under the same circumstances. What is its charge?

Answers

Answer:

The value is  [tex]q_2 = 6.1 *10^{-6} \ C[/tex]

Explanation:

From the question we are told that

     The mass of the object is  [tex]m_1 = 5.0 \ g = 0.005 \ kg[/tex]

     The net charge is  [tex]q = 3.8 \mu C= 3.8 *10^{-6} \ C[/tex]

     The mass of the second object is   [tex]m_1 = 2.0 \ g = 0.002 \ kg[/tex]

Generally for the first object the potential energy gained at the end of its acceleration is equal to its  kinetic energy

i.e

            [tex]\frac{ 1}{ 2} * m_1 * v^2_1 = q_1 * \Delta V \ \ --- (1)[/tex]

Here [tex]v_1[/tex] is the velocity of the first object

        [tex]\Delta V[/tex] is the potential difference through which it is accelerated  

Generally for the second object the potential energy gained at the end of its acceleration is equal to its  kinetic energy

i.e

            [tex]\frac{ 1}{ 2} * m_2 * v^2_2 = q_2 * \Delta V[/tex]

Here [tex]v_2[/tex] is the velocity of the second object and from the question it is

        [tex]v_2 = 2 v_1[/tex]

        [tex]\Delta V[/tex] is the potential difference through which it is accelerated        

So

          [tex]\frac{ 1}{ 2} * m_2 * (2v)^2_1 = q_2 * \Delta V[/tex]

=>        [tex]m_2 * 2v^2_1 = q_2 * \Delta V \ \ ---(2)[/tex]

Generally dividing equation 2 by equation 1

            [tex]\frac{2m_2 v^2_1 }{ \frac{1}{2} * m_1 * v_1^2} = \frac{q_2 \Delta V }{ q_1 * \Delta V}[/tex]

=>         [tex]q_2 = \frac{4m_2 * q_1 }{m_1}[/tex]

=>         [tex]q_2 = \frac{4* 0.002 * 3.8 *10^{-6} }{0.005}[/tex]

=>         [tex]q_2 = 6.1 *10^{-6} \ C[/tex]

=>         [tex]q_2 = 6.1 *10^{-6} \ C[/tex]

           

A truck pushes a pile of dirt horizontally on a frictionless road with a net force of
20

N
20N20, start text, N, end text for
15.0

m
15.0m15, point, 0, start text, m, end text.
How much kinetic energy does the dirt gain?

Answers

Answer:

300 Joules

Explanation:

This is a common question on Khan Academy's "Calculating change in kinetic energy from a force" practice exercises. (AP Physics 1)

The simplest method to use is the following: [tex]W = F * d * cos(theta)[/tex], where W represents work (joules), F represents force (newtons), d represents distance (meters), and theta represents the angle of the force that's being applied.In this scenario, the force being applied is horizontal, so we can remove the [tex]cos(theta)[/tex] from our equation.So, our equation is now: [tex]W = F * d[/tex]. This would mean that [tex]W = 20 * 15[/tex], which is equal to [tex]300[/tex]. Our answer is 300 joules. (this value is positive and not negative because kinetic energy is being GAINED, not LOST)

Here's the real question without all the formatting:

A truck pushes a pile of dirt horizontally on a frictionless road with a net force of 20 N for 15.0 m. How much kinetic energy does the dirt gain?

A truck pushes a pile of dirt in the horizontal direction with a force of 20 N to a distance of 15 m then the kinetic energy of the dirt is 300 J.

What is work?

In physics, the term "work" refers to the measurement of energy transfer that takes place when an item is moved over a distance by an externally applied, at least a portion of which is applied inside the direction of the displacement.

The duration of the path is multiplied by the component of a force acting along the path to calculate work if the forces are constant. The work W is theoretically equivalent to the pressure f times the range d, or W = fd, to represent this idea. Work is done when a force is applied at an angle of to a displacement, or W = fd cos.

The work done, [tex]W = Force * Displacement[/tex]

W = 15× 20

W = 300 J

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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! :)

I need help ASAP!

1. Two wave pulses move towards each other as shown below. The pulses have the same width and amplitudes.

What is the resulting wave pattern when the centers of the two pulses meet?

Answers

Answer:

b.

Explanation:

The resulting wave pattern when the centers of the two pulses meet is undergo constructive interference.

When two waves meet?

Waves are pulses of energy that propagate through space periodically. When two waves overlap in the same region of space, interference occurs, which results in another wave with different intensity. These variations in the intensity of the resulting wave are called interference fringes.

The two pulses propagate with the same phase and in opposite directions, when they meet, they suffer constructive interference, which will cause the sum of the amplitudes. After interference, each wave goes its way as if nothing happened.

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A car starts from point A, goes 100 km to point B, immediately turns around, and returns to point A. The round trip takes 4 hours.
What is the average speed of the car?

Answers

Answer:

50 km/h

Explanation:

200 km = 4 hours

200/4=50

50km/h

What is the relationship between kinetic and potential energy of a falling object

Answers

Answer:

See the explanation below.

Explanation:

According to the law of energy conservation. This can be transformed from potential energy to kinetic or vice versa.

For example, when you have a body at rest at a height with respect to the ground level, this body possesses potential energy with respect to the ground, but the moment that the body falls the potential energy decreases as it loses height with respect to the ground, but as the potential energy decreases, the kinetic energy increases, that is to say, the potential energy is transformed into kinetic energy as the body is falling.

As the energy relationship is maintained we can say that the potential and kinetic energies are equal.

[tex]E_{pot}=m*g*h\\E_{kin}=\frac{1}{2} *m*v^{2} \\E_{pot}=E_{kin}[/tex]

it is easier to climb up a slanted slope than a vertical slope

Answers

Answer:

Yes, it is easier to climb a slanted slope than a vertical or more steep slope.

Explanation:

On a vertical slope, you are climbing higher instead of farther so on each step gravity weighs you down much more than on a gentle slope

Yes it is easier to clime a gentle slope than a vertical or more steep slope. This is because gravity is always pulling objects down so when you climb upward gravity weighs you down, you have to use effort to move yourself in the opposite direction that gravity is pulling you that is why it is harder to climb up a slope. When you climb a gentle slope you still are using energy but it takes longer to reach the same height on a gentle slope versus a vertical slope. On a vertical slope you are climbing higher instead of farther so on each step gravity weighs you down much more than on a gentle slope. When climbing a gentle slope you don't rise as rapidly so gravity doesn't take as much of a toll on you and you have a chance to recover.

When a object is electrically charged, ____ have been added or removed.

A) Neutrons
B) Electrons
C)Protons

Answers

Answer:

B, electrons.

Explanation:

An electrical charge is created when electrons are transferred to or removed from an object. Because electrons have a negative charge, when they are added to an object, it becomes negatively charged. When electrons are removed from an object, it becomes positively charged.

WILL MARK BRAINLIEST JUST PLEASE HELP

Answers

Answer:

40N in either direction is the answer

The Third choice 40n in either direction will be your answer. Hope this helped. Have a great day!

*
If a rock falls for 3 seconds off of a bridge, how far will the rock fall?
-30 m
-45m
-60m
-75m

Answers

It will fall for about 45m

TRUE/FALSE, the scientific question is written like “I wonder if [dependent variable] is affected by [independent variable].”

Answers

True as the independent variable is over the dependent variable and controls it as the dependent relies on the independent.

A 300 kg piano needs to be moved to the other side of the room. The maximum static frictional force is equal to 90 N and the kinetic frictional force is equal to 70 N. Calculate the acceleration of the piano for an applied force of 100 N.

Answers

Answer:

a = 0.1 m/s²

Explanation:

If the maximum static frictional force is 90 N, this means that any applied force that will overcome this force, will cause the piano to slide, so kinetic frictional force applies.Under these conditions, the net force in the horizontal direction is just the difference between the applied force (which is larger that the static friction force) and the kinetic frictional force, as follows:

       [tex]F_{net} = F_{app} -F_{frk} = 100 N - 70 N = 30 N (1)[/tex]

By the same token, according Newton's 2nd Law, this force is just equal to the product of the mass of the piano, times the acceleration, as follows:

       [tex]F_{net} = m* a = 300 Kg * a = 30 N (2)[/tex]

Solving for a:

        [tex]a = \frac{F_{net}}{m} = \frac{30 N}{300kg} = 0.1 m/s2 (3)[/tex]

what is mean by combination reaction ?​​

Answers

[tex] \underline{\purple{\large \sf Combination \: reaction :-}} [/tex]

Those reaction in which two or more substances combine to form a one new substance are called Combination reaction

In this reaction, We can add :

Two or more elements can combine to form a compound.Two or more compounds can combine to from a one new compound.An element and a compound can combine to form a new compound.

[tex] \underline{\green{\large \sf For\: example :}} [/tex]

[tex] \sf 2H_{2} + O_{2} \: \underrightarrow{Combination} \: 2H_{2}o[/tex]

In this, Hydrogen is an element and Oxygen is another element. Both are combined to form compound 'Hydrogen oxide'. Hydrogen oxide is commonly known as water.

In an open circuit like the picture

A. the light bulb will produce light
B. a resistor controls the flow of current
C. the light bulb will be off
D. current will flow

Answers

C. The light bulb will be off
This is due to the reason that the wire doesn’t go back to the battery :)

In an open circuit like the picture the light bulb will be off. So, option (C) is correct.

What is electric circuit?

Electric circuit is a way for current to flow through electricity. An electric circuit consists of a source of energy for the charged particles that make up the current, like a battery or generator; sources of current-using equipment, like lamps, electric motors, or computers; and the connecting wires or transmission lines.

Ohm's law and Kirchhoff's rules are two of the fundamental mathematical laws that define how electric circuits function.

In the given diagram, the circuit is open. So, no current passes through it and the light bulb will be off. Hence, option (C) is correct.

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When an element ejects an alpha particle, the mass number of that element

A.reduce by 4.

B.remains unchanged.

C.increase by 1.

D. reduce by 1.

Answers

Answer:

A.reduce by 4.

Explanation:

In Chemistry, an alpha particle which is typically a helium nucleus has an atomic mass (number of nucleons) of four (4). Therefore, the ejection of an alpha particle by any chemical element simply means that, the mass number of that particular chemical element would be reduced by four (4).

Basically, this process is referred to as an alpha decay and can be defined as a radioactive disintegration of a chemical element that causes it to emit an alpha particle and as a result reducing its mass number by four (4).

Hence, when an element ejects an alpha particle, the mass number of that element reduces by 4.

Ok I am done waiting for an answer for 5 hours can somebody PLEASE PLEASE PLEASE help me TIMED ASSESMENT HERE!!!! PLEASE
A graph titled Speed as a Function of Time with horizontal axis time (seconds) and vertical axis speed (meters per second). A straight orange line labeled A starts at 0 seconds 4 meters per second and runs to 6 seconds 7 meters. A straight blue line labeled B starts at 0 seconds 4 meters and upward to 6 seconds 4 meters. A straight green line starts at 0 seconds 4 meters and runs to 4 seconds 0 meters.
Use the graph of speed versus time to answer the questions about acceleration.



Which of the cars is speeding up?



Which of the cars is slowing down?



Which of the cars is maintaining a constant speed?

Answers

Answer:

Explanation:

I'm going to assume that all the givens are in m/s. If I am correct, The orange line is speeding up. It is going from 4 m/s to 7 m/s. Its slant is from lower left to upper right. It is increasing in speed.

The green line is slowing down. It is going from 4 to 0 m/s. It's slant is from upper left to lower right.

The blue line is horizontal. It is neither slowing down or speeding up.

Answer:

sorry for being very very very late, but here is your answer)

car speed A

car slow down C

car constant speed B

hope this helped!!!!

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