A concave mirror of focal length 10cm forms an inverted image of 40cm from the mirror and 4cm high. Determine the position and size of the object by scale drawing and by calculation

Answers

Answer 1

The equation of the constructor of the geomeric optics allows to find the results for the distance and size of the objects are:

Distance from the mirror to the object is:  p = 13.3 cm The height of the object is: h = 1.33 cm

The equation of the constructor of geometric optics describes the position of objects and their images for mirrors and lenses.

       [tex]\frac{1}{f} = \frac{1}{p} + \frac{1}{q}[/tex]  

Where f is the focal length, p and q are the distances to the object and the image, respectively.

They indicate the focal length f = 10 cm, the distance to the image q = 40 cm, that the height s h ’=  4 cm.  In the attachment we see a scheme of the system.

Let's find the distance to the object.

        [tex]\frac{1}{p\frac{x}{y} } = \frac{1}{f} - \frac{1}{q} \\\frac{1}{p} = \frac{1}{10} - \frac{1}{40}\\\frac{1}{p} = 0.075[/tex]

       p = 13.3 cm

The magnification in the ratio of image size to object size.  The image is inverted so its height is negative.

        [tex]m = \frac{h'}{h} = - \frac{q}{p}\\h = - \frac{p}{q} \ h'\\h = - \frac{13.3}{40}\ (-4)[/tex]

        h = 1.33 cm

In conclusion using the equation of the constructor we can find the results for the distance and size of the objects are:

Distance from the mirror to the object is  13.3 cm The height of the object is 1.33 cm

   

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A Concave Mirror Of Focal Length 10cm Forms An Inverted Image Of 40cm From The Mirror And 4cm High. Determine

Related Questions

Derive the relationship between g and G using the relationship calculate the value of g on earth

Answers

Answer:

A

Explanation:

Therese plays lacrosse, but she has injured her ankle and has to take a few weeks off. She is finding that she has a lot of trouble sleeping since she is no longer practicing several days a week. What BEST explains this?

OPTIONS:

A.
She needs regular exercise to move oxygen through the blood.
B.
She clearly requires more exercise than most people to relieve stress.
C.
She is not releasing the endorphins that she used to, and that impacts her sleep.
D.
She is likely not maintaining the healthy habits that she did when she was practicing.

PLEASE NO LINKS

Answers

Answer:

C. She is not releasing the endorphins that she used to, and that impacts her sleep.

Explanation:

The best explanation for why Therese is having trouble sleeping is that she is not releasing the endorphins that she used to, and that impacts her sleep.

Hence, the correct option is C.

Endorphins are hormones that are released during exercise. They have mood-boosting and pain-relieving effects. When Therese stops exercising, she is no longer releasing as many endorphins, which can lead to moodiness and difficulty sleeping.

Option A is incorrect because exercise does not directly move oxygen through the blood. Instead, it increases the heart rate and breathing rate, which in turn increases the amount of oxygen that is delivered to the tissues.

Option B is incorrect because there is no evidence to suggest that Therese requires more exercise than most people to relieve stress. In fact, most people find that regular exercise can help to reduce stress levels.

Option D is incorrect because it is unlikely that Therese is not maintaining the healthy habits that she did when she was practicing. Lacrosse is a physically demanding sport, so it is likely that Therese is still eating healthy and getting enough sleep.

Therefore, the best explanation for why Therese is having trouble sleeping is that she is not releasing the endorphins that she used to, and that impacts her sleep.

Hence, the correct option is C.

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Within a period of the periodic table, how do the properties of the elements vary?

Answers

Answer:

Elements in the same period have the same number of electron shells; moving across a period (so progressing from group to group), elements gain electrons and protons and become less metallic. This arrangement reflects the periodic recurrence of similar properties as the atomic number increases.

Explanation:

The Periodic Table can predict the properties of new elements, because it organizes the elements according to their atomic numbers. ... They hope that the two nuclei at the centre of these atoms will fuse and form a heavier nucleus. When these heavy elements form, they are usually highly unstable.

what can be done not to let anyone of the country be hungry and clothless discuss in groups and present your findings in the class​

Answers

...get food to people in need when they need it...

A train travels 120 miles in 2.5 hours. What is its average speed?

Answers

Answer: 48 mph

Explanation: 48*2.5=120

V1= 25 L
T1= 200 degrees Kelvin
V2= 30 L
T2= ? degrees Kelvin

Answers

25x = 200*30
25x= 6000
x= 240

The gravitational field on Saturn is 10.4 times its value on Earth.

a. What would a 100.0-kg mass weigh on Saturn?

b. If the gravitational field on the surface of Pluto is 0.08 times that of Mercury, what would a 7.0-kg mass weigh on Pluto?

Show all work!!

Answers

The weight of 100 kg mass on Saturn is 10,192 N.

The weight of 7.0 kg mass on Pluto is 2.01 N.

The given parameters;

acceleration due to gravity, = 10.4gmass of the Saturn, m = 100 kgacceleration due to gravity on mercury, = 3.59 m/s²

The weight of 100 kg mass on Saturn is calculated as follows;

W = mg

W = 100 x 10.4 x 9.8

W = 10,192 N

The weight of 7.0 kg mass on Pluto is calculated as follows;

W = 7 x 0.08 x 3.59

W = 2.01 N

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Help me please! I really need it!

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Answer:

5 Hz

Explanation:

count the number of cycles per 1 second

How do I calculate the moment of force? Please answer as soon as possible

Answers

Moment of force = F x d . Here d is the distance from the fixed axis, Moment of force is expressed in newton meter (Nm). Moment of force formula can be applied to calculate the moment of force for balanced as well as unbalanced forces.

axit amin có chức năng gì sau đây

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Answer:

i dont understand sorry

If the wind is blowing from north to south, where are the areas of high and low pressure?

Answers

Answer:

Wind is caused by differences in the atmospheric pressure. When a difference in atmospheric pressure exists, air moves from the higher to the lower pressure area, resulting in winds of various speeds.

Our Earth is a rotating planet. Fast moving air is deflected by the Coriolis effect, except exactly on the equator. This defines the direction of cyclones, hurricanes, and typhoons rotation. The wind flow around a large cyclone is counterclockwise in the Northern Hemisphere and clockwise in the Southern Hemisphere.

Wind forms when the sun heats one part of the atmosphere differently than another part. This causes expansion of warmer air, making less pressure where it is warm than where it is cooler. Air always moves from high pressure to lower pressure, and this movement of air is wind.

The high is west of you, and the low is east of you. (If you're in the northern Hemisphere.)

4. As Juan is going to take a shower, the soap falls out of the soap dish on to the

floor and Juan steps on it with a force of 493 N. If Juan slides forward and the

frictional force between the soap and the shower floor is 40 N, what is the

coefficient of friction between the soap and the floor? *

Your answer

Answers

The coefficient of friction between the soap and the floor is 0.081

If Juan steps on the soap with a force of 493 N, this is her weight, W. This weight also equals the normal reaction on the floor, N.

We know that frictional force F = μN where μ = coefficient of friction between soap and floor.

So, μ = F/N

Since F = 40 N and N = W = 493 N,

μ = F/N

μ = 40 N/493 N

μ = 0.081

So, the coefficient of friction between the soap and the floor is 0.081

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what's the relationship between magnetism and birds?​

Answers

Answer:

can detect axis of magnetic field

Explanation:

Answer:

Birds can see the Earth’s magnetic fields. They just found out that this ability is the result of a special protein in the birds’ eyes.

Explanation:

Which force allows you to speed up, slow down, and make turns?

Answers

Answer: Friction force

Happy To help ;)

Explanation:

what is the use of telescope​

Answers

Telescopes are used to magnified distant objects, mostly used to see objects in space.

Answer:

The use of a telescope is to see distant objects

Explanation:

For example: you can look through a telescope to see constellations and stars. Hope this helps <3

Question pictured below

Answers

I think it might or could be 3

The walls of a dam are much thicker at the base than at the top​

Answers

Answer:

I guess it is the reason

Explanation:

A dam is thicker at the bottom than at the top because the forces exerted are strongest close to the ground. Water pressure increases proportionally with depth, so the lower portion of the dam has greater water pressure exerted upon it. The increasing thickness of the lower dam also helps it support its own weight.

This is because of Pressure.

Pressure is directly proportional to depth and the deeper the length the high the pressure. Thus at the bottom, water pressure is very high and the walls must be made thicker to accommodate that pressure.

Identify the topic sentence in the given paragraph.

Humans need sleep to help their bralns function properly. The brain needs a minimum number of hours to rest and organize itself. The number of hours depends on age. For example, babies need an average of 14 to 16 hours of rest daily, while adults can function on about 6 to 8 hours. Scientists are not completely sure what the brain does during sleep periods, but they do know that the brain sorts and stores information and replaces chemicals when a person sleeps.

Please help
No links

Answers

Humans need sleep to help their brains function properly. The topic sentence in the given paragraph is "Humans need sleep to help their brains function properly." This sentence introduces the main idea of the paragraph, which is the importance of sleep for brain functioning.

1. The paragraph begins by stating that humans need sleep to help their brains function properly.

2. It further explains that the brain requires a minimum number of hours to rest and organize itself.

3. The number of hours needed for sleep depends on age, with babies needing an average of 14 to 16 hours of rest daily.

4. In contrast, adults can function on about 6 to 8 hours of sleep.

5. The paragraph mentions that scientists are not completely sure about the specific activities of the brain during sleep periods.

6. However, they do know that the brain sorts and stores information and replaces chemicals when a person sleeps.

Overall, the paragraph discusses the significance of sleep for brain function and highlights that sleep plays a role in information processing and chemical restoration in the brain. The topic sentence sets the stage by emphasizing the importance of sleep for humans' brain functioning, and the subsequent sentences provide additional details and explanations related to the topic.

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X
x
2.5 N
1.7 N
2.5 N

Answers

Answer:

2.5*1.7/2.5

Explanation:

What are two factors that must be kept the same (constant) between both groups?
Must be given 30 mL of water for 7 days.
c. What is the independent variable?
d. What is the dependent variable?
e. Which is the experimental group?
f. Which is the control group?
g. What must be done to make this experiment valid?

Answers

Answer:

Which is the control group?

g. What must be done to make this experiment valid?

Explanation:

NEED HELP!!! 13 POINTS!!!

Exercise builds muscles because it causes them to contract. If this is the case, would massage, which causes them to relax, also be a way of building muscle?
A.
No, massage does not have any health benefits.
B.
Yes, any working with muscles makes them stronger.
C.
Yes, massage begins when the muscles are very tight.
D.
No, the contraction is where building strength comes from.

2. Maleek wants to do some push-ups to build the eccentric muscles in his arms. What is the BEST advice for him?
A.
He needs to do as many as possible quickly since speed is the key.
B.
Be sure to hold the push-up at the top to get the maximum benefit.
C.
Do pull-ups since push-ups do not work the eccentric muscles in the arms.
D.
The lower he goes with his push-up, the more eccentric benefits he will get.

PLEASE NO LINKS

Answers

the first one is D No, the contraction is where building strength comes from.

the second one is C Do pull-ups since push-ups do not work the eccentric muscles in the arms.

A 0.80-kg ball is thrown with a velocity of 13 m/s. The ball hit a 0.12-kg bowling pin. When the ball hits the pin, the pin goes flying forward at 6 m/s. What is the velocity of the ball after it hits the pin?

Answers

When the ball of mass 0.80kg hits a bowling pin of 0.12 kg, the velocity of the ball after it hits the pin = 12.1 m/s

The mass of the ball, [tex]m_1=0.80 kg[/tex]

The initial speed of the ball, [tex]u_1=13 m/s[/tex]

The mass of the bowling pin, [tex]m_2=0.12kg[/tex]

The initial speed of the bowling pin, [tex]u_2=0m/s[/tex]

The final speed of the bowling pin, [tex]v_2= 6m/s[/tex]

The final speed of the ball after collision, [tex]v_1 = ?[/tex]

According to the law of momentum conservation

[tex]m_1u_1+m_2u_2=m_1v_1+m_2v_2\\\\0.80(13)+0.12(0)=0.80v_1+0.12(6)\\\\10.4+0=0.8v_1+0.72\\\\0.8v_1=10.4-0.72\\\\0.8v_1=9.68\\\\v_1=\frac{9.68}{0.8} \\\\v_1=12.1m/s[/tex]

The velocity of the ball after it hits the pin = 12.1 m/s

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Using Newton’s first law of physics, which explains why it is harder to swim in water with a current (like the ocean) than in contained water (like a pool)?
A.
Perpetual motion can only be interrupted by an unbalanced force.
B.
The current will interfere with perpetual motion more than still water.
C.
It takes much more strength to swim if there is a current than in a pool.
D.
Still water is an immovable object, but currents have their own momentum.

Answers

Answer:

It isn't A.

Explanation:

I got it wrong with the answer A.

it is harder to swim in water with a current (like the ocean) than in contained water (like a pool) because Still water is an immovable object, but currents have their own momentum. The correct option is D.

What is Newton's first law of motion?

Newton's first law of motion, also known as the law of inertia, states that "an object at rest will remain at rest, and an object in motion will remain in motion with a constant velocity unless acted upon by an unbalanced force."

This means that an object will continue to move in a straight line at a constant speed unless an unbalanced force acts upon it. In addition, if an object is at rest, it will remain at rest unless acted upon by an unbalanced force.

The law of inertia can be applied to many situations. For example, if a book is sitting on a table, it will remain at rest until a force is applied to it. Similarly, if a ball is rolling on a flat surface, it will continue to roll at a constant speed in a straight line unless a force, such as friction, slows it down or changes its direction.

This law is fundamental to understanding the behavior of objects in motion, and it forms the basis for the other two laws of motion formulated by Sir Isaac Newton.

Here in the Question,

Swimming in a pool versus swimming in the ocean, the difference lies in the presence of a current in the ocean.

The current in the ocean has its own momentum, and when a swimmer enters the water, they are faced with an additional force that they must overcome to move forward. This means that the swimmer must apply more force and use more energy to overcome the force of the current and move forward in the water.

In still water, on the other hand, there is no external force acting on the swimmer, so they only have to overcome the resistance of the water itself to move forward.

Therefore, The correct answer is D i.e Still water is an immovable object, but currents have their own momentum.

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Explain how the basic unit are combined to give the derived units of force, velocity, pressure and work

Answers

Velocity:

Velocity is change in displacement with respect to time:

[tex]\frac{\Delta x}{\Delta t}[/tex]

Analysing the units, meters (displacement) and seconds (time) are basic units:

[tex]\frac{m}{s}[/tex]

Therefore the unit of velocity is m/s

Force:

Newton's second law of motion:

[tex]F = ma[/tex]

Kilogram (mass) is a basic unit, and accelerations unit can be found using the equation:

[tex]a=\frac{\Delta v}{\Delta t}[/tex]

Analysing the units:

[tex]\frac{\frac{m}{s}}{s}=\frac{m}{s^2}[/tex]

Therefore, the unit of force is:

[tex]kg\frac{m}{s^2}[/tex]

Pressure:

Pressure is given by the equation:

[tex]P=\frac{F}{S}[/tex] where S is area of effect, F is force

Area for a basic rectangle (geometric shape is arbitrary for dimensional analysis) is found by multiplying two lengths:

[tex][l^2]=m^2[/tex], the unit of area

Dividing the aforementioned unit of force by the unit of area:

[tex]\frac{kg\frac{m}{s^2}}{m^2}=\frac{kg}{ms^2}[/tex], the unit of pressure

Work:

Work is given by the equation:

[tex]W=\vec{F}\cdot \vec{x}[/tex], (dot product may be assumed as normal multiplication for the purposes of unit analysis)

Knowing displacement's (x) unit is m:

[tex][W]=\frac{kgm}{s^2}m=\frac{kgm^2}{s^2}[/tex], the unit of work.

Is 53cm bigger than 5m?

Answers

yes its bigger than 5 millimeters

No, 53cm is less than 5m.

Match the words in the left-hand column to the appropriate blank in the sentences in the right-hand column. Use each word only once.
1. Nuclear fusion of hydrogen into helium occurs in the_______ .
2. Energy moves through the Sun's ________ by means of the rising of hot gas and falling of cooler gas.
3. Nearly all the visible light we see from the Sun is emitted from the_______ .
4. Most of the Sun's ultraviolet light is emitted from the narrow layer called the _______where temperature increases with altitude.
5. We can see the Sun's _______ most easily during total solar eclipses.
6. The _______ is the layer of the Sun between its core and convection zone.

Answers

The answer to the question are bulleted below

CoreConvection ZonePhotosphereChromosphereCoronaRadiation Zone

1. Nuclear fusion of hydrogen into helium occurs in the core.

2. Energy moves through the Sun's Convection Zone by means of the rising of hot gas and falling of cooler gas.

3. Nearly all the visible light we see from the Sun is emitted from the Photosphere.

4. Most of the Sun's ultraviolet light is emitted from the narrow layer called the Chromosphere where temperature increases with altitude.

5. We can see the Sun's Corona most easily during total solar eclipses.

6. The Radiation Zone is the layer of the Sun between its core and convection zone.

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consider the collision between a car and a light truck whose weights are equal (M = m). If they are moving at the same speed when they collide, compare the size (or magnitude) of the forces between the car and the truck. Friction is so small that it can be ignored

Answers

The truck applies the same force to the car that the car applies to the truck. The truck applies the same force to the car that the car applies to the truck. According to Newton's third law, action and reaction have the same magnitude and move in the opposite direction.

What is force?

Force is an external agent that can change the state of rest or motion of a body. It has a magnitude as well as a direction.

The direction of the force is the point where force is applied, and the application of force is the point where force is applied.

The concept of force is commonly explained in terms of Isaac Newton's three laws of motion, which are laid out in his Principia Mathematica.

The truck exerts the very same force on the car as the car exerts on the truck. The truck exerts this very same force on the car as the car exerts on the truck.

Action and reaction have the same amplitude and move in the opposite direction, according to Newton's third law.

Thus, this can be the comparison in the given scenario.

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Your question seems incomplete, the complete question is:

Consider the collision between a car and a

light truck whose weights are equal (M = m). If they are moving at the same speed when they collide, compare the size (or magnitude) of the forces between the car and the truck. Friction is so small that it can be ignored.

Compare the forces if the light truck is standing

still when the car hits it.

A delivery truck travels 18 blocks north, 10 blocks east, and 16 blacks south What is the
distance traveled and displacement? Assume all blocks are the same length
Force Unit

Answers

Answer:

Traveled north = 18 blocks

Traveled east = 10 blocks

Traveled south = 16 blocks

So total distance = (18+10+16) blocks = 44 blocks

as north and south are opposite

so traveled displacement from up to down is = (18-16) blocks = 2 blocks

and starting to east distance is 10 blocks

so using pythagoras theorem the displacement

= [tex]\sqrt{10^{2}+2^{2} }[/tex] blocks

= [tex]\sqrt{104}[/tex] blocks

= [tex]2\sqrt{26}[/tex] blocks

= 10.198 blocks (approx.)

ANS: distance=44 blocks, displacement=10.198 blocks (approx.)

Explanation:

A truck of mass 10000kg moving through a sloppy road of length 20km with the help of 5000N force. If the truck climbs the vertical height of 200m and it's efficiency is 80% calculate the additional mass that can be carried by the truck​ ?​

Answers

Answer:

30000

Explanation:

Statement of the given problem,

A truck of mass 10000 kg is moving through a sloppy road of length 20 km with the help of 5000 N force. If the truck climb the vertical height of 200 m and its efficiency is 80% calculate the additional mass that can be carried by the truck?

Let M denotes the additional mass (in kg) that can be carried by the truck.

From above data we determine that,

P.E. gained by total mass at the vertical height of 200 m = 80% of work done by the applied force [road elevation = tan^-1 (200/20000) = 0.57° (assumed negligible)]

Hence we get following relation,

(10000 + M)*g*200 = 5000*20*1000*80/100 [g = gravitational acceleration]

or 10000 + M = 50000*8/g = 50000*8/10 [g = 10 m/s^2 (assumed)]

or M = 40000 - 10000 = 30000 (kg) [Ans]

an object is accelerating if there is a change in speed and which factor?

Answers

Answer:

Speed and direction.

Explanation:

When an object accelerates, its velocity changes. Velocity is often thought of as an object's speed with a direction. Thus, objects accelerating are either speeding up, slowing down or changing directions.

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