12.
A Pole 4m Long is laid along the principal axis of a convex mirror of
focal length 1m the end of the pole nearer the mirror is 2m from it.
Find the length of the image of the pole.
Ans: 0.19m

Answers

Answer 1

Answer:

The length of the image of the pole is 4/3 m

Explanation:

The given parameters are;

The length of the Pole = 4 m

The type of mirror = Convex mirror

The distance of the pole from the mirror = 2 m

The mirror formula for convex mirrors is presented here as follows;

[tex]\dfrac{1}{U} - \dfrac{1}{V} = - \dfrac{1}{F}[/tex]

Where;

U = The object (pole) distance from the mirror = 2 m

V = The image of the objects (pole) distance from the mirror

The focal length of the mirror

Therefore, by substitution, we have;

[tex]\dfrac{1}{2} - \dfrac{1}{V} = - \dfrac{1}{1}[/tex]

[tex]\dfrac{1}{2} + 1 = \dfrac{1}{V}[/tex]

[tex]\dfrac{1}{V} = \dfrac{1}{2} + 1 = \dfrac{3}{2}[/tex]

[tex]V = \dfrac{2}{3}[/tex]

We have;

[tex]Magnification = \dfrac{Image \ height}{Object \ height } = \dfrac{Length \ of \ the \ Image \ of \ the \ Pole}{Length \ of \ the \ of \ the \ Pole } =\dfrac{-V}{U}[/tex]

Which by substitution gives;

[tex]Magnification = \dfrac{Length \ of \ the \ Image \ of \ the \ Pole}{4} =\dfrac{-\dfrac{2}{3} }{2} = \dfrac{2}{6}[/tex]

[tex]{Length \ of \ the \ Image \ of \ the \ Pole}{} = 4 \times \dfrac{2}{6} = \dfrac{4}{3}[/tex]

The length of the image of the pole = 4/3 m


Related Questions

A box with a weight of 100 N is at rest. It is then pulled by a 50 N horizontal
force. What is the mass of the box?

Answers

If the box weighs 100N on Earth, then its mass is 10.2 kg. A pulling force has nothing to do with it.

Select all the correct answers.
Which situations describe an elastic collision?
(A) Two glass marbles bounce off each other.
(B) Rodrick flops onto his sofa and sinks into the cushion.
(C) A tossed water balloon flattens when it lands on the grass.
D) A bowling ball knocks over five pins.

Answers

I believe there are two correct answers, and those answers are A and D


A group of students is making paper airplanes. They think that the kind of paper and the design of the airplane may affect how for each paper airplane fles. The students first test if the kind of paper affects how far the
airplane fies. They make
several otrplanes out of different kinds of paper, using
the same design Why is it important that all the airplanes have the same design?

Help please !!

Answers

Answer:

The reason why it is important that all the airplanes have the same design is that the students first test is an experiment to determine the effect of the paper kind on the distance the airplane flies

The first experiment, therefore measures the effect of the independent variable, which is the kind of paper on the dependent variable, which is how far the paper flies

The constant or the factor held constant in the experiment is the design of the airplane, so as to ensure that changes in the distance flown by the airplane are due to the changes in the kind of paper alone

Explanation:

4
Select the correct answer.
What field(s) does a moving electron have?
OA
electric and gravitational fields
B. magnetic and gravitational fields
OC. gravitational, electric, and magnetic fields
OD.
electric field only
Reset
Next

Answers

Answer:

What field(s) does a moving electron have?

Explanation:

magnetic and gravitational fields

For Edmentem!

An objec with a mass of 7 kg accelerates 5m/s2 when an unknown force is applied to it.what is the magnitude of the unknown force?

Answers

Answer:

35 N

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question we have

force = 7 × 5

We have the final answer as

35 N

Hope this helps you

An airplane flies north at 300.0 km/h relative to the air and the wind is blowing south at 15.0 km/h. What is the airplane’s velocity relative to the ground? *

315 km/h North
15 km/h south
285 km/h North
300 km/h South

Answers

Answer:

285

Explanation:

read and alot jbgdxtffhgdae

An airplane is flying with velocity of 70km\hr in north east direction .The wind is blowing 30km\hr from north to south.What is the resultant displacement of the aeroplane in 4 h

Answers

Answer:

The resultant displacement of the airplane in 4 hours is 212.8 km.

Explanation:

The components of the airplane's velocity and wind's velocity are:

Airplane:

[tex] v_{a_{x}} = v_{a}cos(45) = 70 km/h*cos(45) = 49.50 km/h [/tex]

[tex] v_{a_{y}} = v_{a}sin(45) = 70 km/hsin(45) = 49.50 km/h [/tex]

Wind:

[tex] v_{w_{x}} = 0 [/tex]

[tex] v_{w_{y}} = v_{w} = -30 km/h [/tex]

Now, to know the new velocity of the airplane we to find the result vector:

[tex] v_{x} = v_{a_{x}} + v_{w_{x}} = 49.50 km/h + 0 = 49.50 km/h [/tex]

[tex]v_{y} = v_{a_{y}} + v_{w_{y}} = 49.50 km/h - 30 km/h = 19.50 km/h[/tex]  

Now, the magnitude of the new speed of the airplane is:

[tex] v_{a} = \sqrt{v_{x}^{2} + v_{y}^{2}} = \sqrt{(49.50 km/h)^{2} + (19.50 km/h)^{2}} = 53.20 km/h [/tex]

Finally, after 4 hours the resultant displacement of the airplane is:

[tex] x = v*t = 53.20 km/h*4 h = 212.8 km [/tex]

Therefore, the resultant displacement of the airplane in 4 hours is 212.8 km.

I hope it helps you!                                        

Which refers to the ratio of output work to input work of a machine expressed as a percent?

total work
wattage
efficiency
power

Answers

Answer: C.) Efficiency

Explanation: Edge 2020 good luck ^__^

What is it called when we have two gears connected by a chain in when large gear turns wants to small gear turns two or more times

Answers

You have to make sure you don’t use the first gear any more to be able to use the

What is cartilage?
7 points
the connective tissue that attaches muscles to bones
the connective tissue that's found between bones
the connective tissue found inside of bones

Answers

"The connective tissue that's found between bones."

An example would be between the vertabrae in the spine.

Like the other (inappropriate) answer said, a ligament is what attches muscles and bones.

Also, the tissue inside of bones is bone marrow.

If you know that, you can take out those two options (Option 1 and 3)

Answer:

firm, whitish, flexible connective tissue found in various forms in the larynx and respiratory tract, in structures such as the external ear, and in the articulating surfaces of joints. It is more widespread in the infant skeleton, being replaced by bone during growth

What is the force needed to move a 300 kg object if you have an acceleration of 8 m/s2?

Answers

Answer: mass = 10 kg, acceleration = 3 m/s2.

Explanation: I hope that helped!!

What is the weight of a 500g ball? (gravity is 9.8 m/s)​

Answers

Answer:

4,900

Explanation:

you find the weight by multiplying the ball in grams to the gravity

The weight or force due to gravity of a 500 g ball is 4.9 N.

What is force?

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

Given in the question  a 500 g ball,

Weight = mass.gravity

Weight = .5*9.8

Weight = 4.9 N

The weight or force due to gravity of a 500 g ball is 4.9 N.

To learn more about force refer to the link:

brainly.com/question/13191643

#SPJ2


When we describe both the speed and direction of motion, we are
descriting its acceleration.
True
False

Answers

Answer:

True

Explanation:

Why does it make sense that a 9 Liter pot of boiling water has more heat than a 1.5 L pot of boiling water?

Answers

Explanation:

because 9 is more than 1.5 and the more water, the more heat

I need help I do test I scared

Answers

Answer:

i think the answer is #3. :)

What is Humpty Dumpty's momentum if he has a mass of 56kg and is walking to the wall at a rate of 3 m/s? ​

Answers

Answer:

168

Explanation:

56 x 3

have a nice day

Witch statement about electric force is true?

Answers

Please give me the statement :)

PLEASE HELP!!!!!!!!!

Answers

I think it’s Malleability

The space shuttle slows down from 1200 km/hr to 400 km/hr over 10 seconds. What is the space shuttles deceleration?

Answers

That's if the answer should be in m/s2.

If white light is a mixture of all the primary colours of light, what is black?

Answers

Answer:

The primary colors of light are red, green, and blue. If you subtract these from white you get cyan, magenta, and yellow. ... Mixing these three primary colors generates black. As you mix colors, they tend to get darker, ending up as black.

a 5 kg mass is accelerated at a rate of 2.5 m/s/s. what is the force that is exerted on this object

Answers

Answer:

12.5 N

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question we have

force = 5 × 2.5

We have the final answer as

12.5 N

Hope this helps you

I will mark brainliest !!

Answers

Answer:

i think its b

Explanation:

During a tennis match, a player serves the ball at 23.6 m/s, with the center of the ball leaving the racquet horizontally 2.37 m above the court surface. The net is 12 m away and 0.90 m high. When the ball reaches the net,
(a) does the ball clear it and
(b) what is the distance between the center of the ball and the top of the net? Suppose that, instead, the ball is served as before but now it leaves the racquet at 5.00° below the horizontal. When the ball reaches the net,
(c) does the ball clear it and
(d) what now is the distance between the center of the ball and the top of the net?

Answers

Answer:

a

Yes it clears

b

 [tex]b= 0.19 \ m[/tex]

c

 No it does not clear

d

[tex]z= 0.86 \ m[/tex]

Explanation:

From the question we are told that

  The speed at which the player serves the ball is [tex]v = 23.6 \ m/s[/tex]

  The height of the ball above the ground is  [tex]h = 2.3 7 \ m[/tex]

  The distance of the net is  [tex]d = 12 \ m[/tex]

   The height of the net is [tex]H = 0.9 \ m[/tex]

Generally the time taken for the ball to reach the net is mathematically represented as

     [tex]t = \frac{d}{v}[/tex]

=>  [tex]t = \frac{12}{23.6}[/tex]

=>  [tex]t = 0.508 \ s[/tex]

Generally the change in height of the ball after t is mathematically represented as

     [tex]\Delta h = ut + \frac{1}{2} gt^2[/tex]

Here u is the initial velocity which is zero given that the ball was at rest initially

So

     [tex]\Delta h = 0* t + \frac{1}{2} * 9.8 * 0.50 8^2[/tex]

=>  [tex]\Delta h =1.28 \ m[/tex]

Generally the new height of the ball is mathematically evaluated as

      [tex]s= h-\Delta h[/tex]

=>   [tex]s = 2.37 - 1.28[/tex]

=>   [tex]s = 1.09 \ m[/tex]

From the value obtained we see that [tex]s > H[/tex] hence the ball clears the net

Generally the distance between the center of the ball and the top of the net is mathematically represented as

      [tex]b = s - H[/tex]

=>   [tex]b = 1.09 - 0.90[/tex]

=>   [tex]b= 0.19 \ m[/tex]

Given that the ball makes an angle of [tex]5^o[/tex] with the horizontal  , the velocity along the x-axis is  

      [tex]v_x = v cos(5)[/tex]

=>   [tex]v_x = 23.6 cos(5)[/tex]

=>   [tex]v_x = 23.5 \ m/s[/tex]

The velocity along the y-axis is  

      [tex]v_y = v sin(5)[/tex]

=>   [tex]v_y = 23.6 sin(5)[/tex]

=>   [tex]v_y = 2.06 \ m/s[/tex]      

Generally the time taken for the ball to reach the net is

      [tex]t = \frac{d}{v_x}[/tex]

=>   [tex]t = \frac{12}{23.5}[/tex]

=>   [tex]t =0.508 \ s[/tex]

Generally the change in height of the ball after t seconds is  

     [tex]c = v_yt + \frac{1}{2}gt^2[/tex]

=>  [tex]c = 2.06 * 0.508 + \frac{1}{2}* 9.8 * 0.508 ^2[/tex]

=>  [tex]c = 2.33[/tex]

Generally the new height of the ball after time t seconds is  

     [tex]e = h - c[/tex]

=>   [tex]e = 2.37 - 2.33[/tex]

=>   [tex]e = 0.04 \ m[/tex]

From the value obtained we see that [tex]e < H[/tex] hence the ball does not clear the net

Generally the distance between the center of the ball and the top of the net is mathematically represented as

      [tex]z = H-e[/tex]

=>   [tex]z = 0.90 - 0.04[/tex]

=>   [tex]z= 0.86 \ m[/tex]

   

(a) Yes, the ball clears the net.

(b) The distance between the center of the ball and the top of the net is 0.203 m.

(c) No, the ball does not clear the net.

(d) Now, the distance between the center of the ball and the top of the net is -0.85 m.

What is a Projectile motion?

When any object or body is launched with some initial velocity and making some angle with the horizontal, the body travels in a parabolic path. It is known as the projectile motion.

Given,

The horizontal distance traveled by the ball is 12 m.

The height of the top of the net is 0.90 m.

The height of the horizontal launch of the ball is 2.37 m.

The time for the horizontal motion of the projectile that is the ball is,

[tex]\begin{aligned} {{v}_{0x}}&={{S}_{x}}t \\ t&=\dfrac{{{S}_{x}}}{{{v}_{0x}}} \\ &=\dfrac{{{S}_{x}}}{{{v}_{0}}\cos 0{}^\circ } \\ &=\dfrac{{{S}_{x}}}{{{v}_{0}}} \end{aligned}[/tex]

The equation for the vertical motion of the projectile can be solved by substituting the above result.

[tex]\begin{aligned} y&={{y}_{0}}+{{v}_{0y}}t-\frac{1}{2}g{{t}^{2}} \\ y&={{y}_{0}}+\left( {{v}_{0}}\sin 0{}^\circ \right)\left( \frac{{{S}_{x}}}{{{v}_{0x}}} \right)-\frac{1}{2}g{{\left( \frac{{{S}_{x}}}{{{v}_{0x}}} \right)}^{2}} \\ \left( 0.90\text{ m}+h \right)&=\left( 2.37\text{ m} \right)+0-\frac{1}{2}\left( 9.8\text{ m/}{{\text{s}}^{2}} \right){{\left( \frac{12\text{ m}}{23.6\text{ m/s}} \right)}^{2}} \\ h&=2.37\text{ m}-\text{1}\text{.267 m}-0.90\text{ m} \\ &=0.203\text{ m} \end{aligned}[/tex]

Now, consider the case when the ball is thrown with an angle [tex]\bold{5^{\circ}}[/tex] with the horizontal.

The horizontal component of the initial velocity is [tex]\bold{v_0 \cos 5{}^\circ.}[/tex]

The vertical component of the initial velocity is [tex]\bold{v_0 \sin 5{}^\circ.}[/tex]

For the horizontal distance traveled by the ball in this case, the time taken can be calculated as below,

[tex]\begin{aligned} {t}'&=\frac{{{{{S}'}}_{x}}}{{{{{v}'}}_{0x}}} \\ &=\frac{12\text{ m}}{\left( 23.6\text{ m/s} \right)\cos 5{}^\circ } \\ &=0.51\text{ s} \end{aligned}[/tex]

Now, the vertical distance above the ground, y’, traveled by the projectile till reaching the net can be determined as,

[tex]\begin{aligned} {y}'&={{{{y}'}}_{0}}+{{{{v}'}}_{0y}}{t}'-\frac{1}{2}g{{{{t}'}}^{2}} \\ &=0\text{ m}-\left( \left( 23.6\text{ m/s} \right)\sin 5{}^\circ \right)\left( 0.51\text{ s} \right)-\frac{1}{2}\left( 9.8\text{ m/}{{\text{s}}^{2}} \right){{\left( 0.51\text{ s} \right)}^{2}} \\ &=-1.05\text{ m}-1.28\text{ m} \\ &=-2.32\text{ m} \end{aligned}[/tex]

The height above the top of the net can be determined by adding the above result with (2.37 m - 0.90 m) which is the height of the net’s top relative to the launch position.

[tex]\begin{aligned} {h}'&=\left( 2.37\text{ m}-0.90\text{ m} \right)+{y}' \\ &=\left( 2.37\text{ m}-0.90\text{ m} \right)-2.32\text{ m} \\ &=-0.85\text{ m} \end{aligned}[/tex]

Thus, the distance between the center of the ball and the top of the net is -2,32 m.

When the ball leaves the racquet at 5.00° below the horizontal, the distance between the center of the ball and the top of the net is -0.85 m.

Learn more about projectile motion here:

https://brainly.com/question/11049671


can somone pls help me??!! i’m very stuck

Answers

Answer:

b

Explanation:

In a lacrosse game a ball is thrown with a force of 2000 N. The throwing force acted for 0.8 seconds. If the ball had a change in velocity, Δv, of 50 m/s, what is the mass of the ball?

Answers

Answer:

i beleive i cannot help you in physics

Explanation:

PLSSSS HELPPP What effects do mutations have? Check all that apply.

A) could change protein shape
B)never change protein shape
C)might be neutral
D)always change the way a trait is observed
E)might be harmful
F)might be beneficial

Answers

Answer:

E, F, A, C

Explanation:

They cannot change the way a trait is observed

Mutations could change protein shape(A), could cause genetic disorders and harm you(E), could actually be beneficial and cause adaptations to your environment(F), or they could be neutral in which no changes are observantly notable(C).

Hope this helps

The sodium-potassium pump moves blank ions into the cell and blank ions out of the cell.

Answers

potassium ions into the cell and

outside

⇒ sodium ions out of the cell.

A beam of electrons moving with a velocity Of 101 m/s
enters midway between two horizontal parallel plates which
Que 5cm long. 2cm apart and have pod Of V volt
applied between them - Calculate v if the beam is deflected
so that it just grazes the edge of the lower plate.(e/m = 1.8×10^11 c/kg)​

Answers

Answer:

Explanation:

electrical field in vertical direction = V / .02  , .02 is distance between plate and V is potential difference .

force on electrons = V x e / .02

acceleration of falling electrons

= V x e /( .02  x m )

= 50 x 1.8 x 10¹¹ V

a = 9 x 10¹² V .

Time to cover length of plate

t = .05 / 10⁷ = 5  x 10⁻⁹ s ,      velocity of electron = 10⁷ m /s .

vertical distance covered by electron s = .01 m with acceleration a in time t

s = 1/2 a t²

.01 = .5 x 9  V  x 10¹²  x ( 5 x 10⁻⁹ )²

10⁻² = 4.5 x 25  x 10⁻¹⁸ x 10¹² V

V = 10⁴ /  (4.5 x 25)

= 88.89 Volt .

Weight is proportional to but not equal to mass. In which of the following situations would a person show an increase in weight but not an increase in mass?
Group of answer choices

a Landing on a planet with more gravity.

b Traveling on the highway in a SUV.

c Living in a chamber in an underwater habitat.

d Climbing to the top of a mountain.

Answers

Answer: c living in a camber in an under water habitat

Explanation:

A skier rides horizontally off of a 200 meter high cliff. If he lands 25 meters away from the base of the cliff, how fast was he skiing as he went off the edge?

A. 0.91 m/s
B. 2.91 m/s
C. 3.91 m/s
D. 25.91 m/s

Answers

Answer:

the answers, the correct one is C,   v₀ₓ = vₓ = 3.91 m / s

Explanation:

This is a projectile launching exercise, in this case they indicate that when leaving the cliff it goes horizontally, therefore the initial vertical speed is zero, let's find the time to reach the base

        y = y₀ + [tex]v_{oy}[/tex] t - ½ g t²

at the base the height is zero (y = 0 m)

        0 = y₀ + 0 - ½ g t²

         t = √ (2y₀ / g)

         

we calculate

        t = √ (2 200 / 9.8)

        t = 6.389 s

with this time we calculate the horizontal speed

        v₀ₓ = x / t

        v₀ₓx = 25 / 6,389

        v₀ₓ = vₓ = 3.91 m / s

When checking the answers, the correct one is C

Other Questions
Based on Robert Frosts poem "The Road Not Taken," which lines most support the theme that people want to predict the outcome of important decisions? The Latin word vivere means to live. Based on this which of these is MOST LIKELY the meaning of the word rivere? A) to end life. B) to restore life. C) to withhold life. D) to carry out life2 help me out!!what is the area of the figure to the nearest hundredth PLEASE HELP asap 60 POINTSneeds to be in JavaA programmer has written a method called replaceLetter that counts the amount of times a letter is present in a word. Your job is to modify this existing method to fulfill a new purpose.Rather than count the instances of a letter in a String, write a program that replaces all instance of one letter with another. You should directly modify replaceLetter to get this program to work. In the starter code, replaceLetter only has two parameter values. Your new version should have a third parameter to indicate which String value is replacing the existing letter.For example,replaceLetter("hello", "l", "y")returns"heyyo"Sample output:Enter your word: helloEnter the letter you want to replace: lEnter the replacing letter: xhexxoHint: The letters will be assigned from the user as String values. Make sure to use String methods to compare them! Johanna rode 8 miles in 40 minutes on her mountain bike. ANSWER ASAP PLStrue of false; insurance companies determine rates based on positive health rates in the population The opening paragraphs best establish which of Oscar Wilde's values:O There is no such thing as a moral or immoral bookO Beauty has valueThe role of the working classAll art is quite useless Why is the word "massacre" used sometimes instead of "battle" to describe a military event? Dimensions of a building are 654 feet by 264 feet. If 1 inch represents 64 feet, what are the dimensions of the building on the drawing? Has the research described in this article beenpeer reviewed? a) Write 600 as the product of prime factors.Give your answer in index form. Whom did Thomas Jefferson call servants of the people? A) slavesB) delegatesC) kingsD) soldiers What macromolecule makes up a inner region of the cell membrane? Order the values from least to greatest. Solve for x and verify:3(x+3)-2(x-1)=5(x-5) Who you think is better? Ninja or TFue ,btw do you know who icebear is? Which event happened first?Group of answer choices1. The Indian Removal Act displaced many indigenous people.2. A European captain kidnapped Tisquantum.3. Settlers established Massachusetts Bay Colony.4.Ousamequin first visted Plymouth. who know what im saying kedu ka mmadu nile si raru ura kedu ka bch g si aga?? Ahmad is riding his bicycle. He finds that he can accelerate from rest at 0.44 m/s^2 for 5 s to reach a speed of 2.2 m/s. The total mass of Christian and his bicycle is 54 kg. Later, he straps some cargo onto the back of his bicycle. The mass of the cargo is 12 kg. Calculate the force that Christian can exert on his bicycle before picking up the cargo and exerts the same force on his bicycle. 2. The amount of your bill is $3.10. You give the cashier $5.00. Completethe table to show how the cashier might return the change.+Coins Given toConvenient AmountCustomerReachedThe bill is $3.10.a1 nickeldimes$5.00Pls help