1. A 14-cm tall object is placed 26 cm from a converging lens that has a focal length of 13 cm.
Answers
Answer:
a) Please find attached the required drawing of light passing through the lens
By the use of similar triangles;
The image distance from the lens = 26 cm
The height of the image = 14 cm
c) The image distance from the lens = 26 cm
The height of the image = 14 cm
Explanation:
Question;
a) Determine the image distance and the height of the image
b) Calculate the image position and height
The given parameters are;
The height of the object, h = 14 cm
The distance of the object from the mirror, u = 26 cm
The focal length of the mirror, f = 13 cm
The location of the object = 2 × The focal length
Therefore, given that the center of curvature ≈ 2 × The focal length, we have;
The location of the object ≈ The center of curvature of the lens
The diagram of the object, lens and image created with MS Visio is attached
From the diagram, it can be observed, using similar triangles, that the image distance from the lens = The object distance from the lens = 26 m
The height of the image = The height of the object - 14 cm
b) The lens equation is used for finding the image distance from the lens as follows;
[tex]\dfrac{1}{u} + \dfrac{1}{v} = \dfrac{1}{f}[/tex]
Where;
v = The image distance from the lens
We get;
[tex]v = \dfrac{u \times f}{u - f}[/tex]
Therefore;
[tex]v = \dfrac{26 \times 13}{26 - 13} = \dfrac{26 \times 13}{13} = 26[/tex]
The distance of the image from the lens, v = 26 cm
The magnification, M =v/u
∴ M = 26/26 = 1, therefore, the object and the image are the same size
Therefore;
The height of the image = The height of the object = 14 cm.
Related Questions
A 5L container has a
Answers
Answer:a gas at pressure of 0.8 m column of H g
Explanation:I thinkWhich of the following best describes how a transformer works?
O A. Converts electric energy into mechanical energy
B. Converts the voltage of a current source
C. Converts mechanical energy into electrical energy
D. Converts the direction of current flow in a circuit
Answers
Answer:
B.Converts the voltage of a current source
A transformer is an electrical apparatus designed to convert alternating current from one voltage to another. It can be designed to "step up" or "step down" voltages and works on the magnetic induction principle. ... When voltage is introduced to one coil, called the primary, it magnetizes the iron core.
MARK ME BRAINLIEST THANKS MY ANSWER PLEASE
1. At what angle of release did the sepak takraw ball travel farthest? ______ 2. How will you compare the range (horizontal distance) travelled by the ball at angles of 25º and 65º? How about at angles of 40º and 50º? ________________________________________________________________________ 3. At what angle of release did the ball reach the maximum height?_________ 4. How will you compare the height reached by the ball at 25º, 45º and 65º? _______________________________________________________________________ 5. How will you explain the relationship between the angle of release to the height of the projectile? How about angle of release and range before it reaches the farthest distance?
Answers
Answer:
1) θ = 45, b) R₄₀ = R₅₀ = (v₀² / g) 0.985, R₂₅ = R₆₅ = (v₀² / g) 0.766
3) θ = 90º, d) y₂₅ = (v₀ / 2g) 0.179, y₄₅ = (v₀ / 2g) 0.5, y₆₅ = (v₀ / 2g) 0.821
Explanation:
This is a projectile throwing exercise, let's use the relations
R = [tex]\frac{v_o^2 \ sin \ 2\theta }{g}[/tex]
1) the angle for a maximum reach (R) is θ = 45
R = v₀²/g
2) let's compare the scopes
θ = 25º
R₂₅ = (v₀² /g) sin 2 25
R₂₅ = (v₀² /g) 0.766
θ = 65º
R₆₅ = (v₀² / g) sin 2 65
R₆₅ = (v₀² / g) 0.766
θ = 40º
R₄₀ = (v₀²/g) sin 2 40
R₄₀ = (v₀²/ g) 0.985
θ = 50
R₅₀ = (v₀²/g) sin 2 50
R₅₀ = (v₀² / g) 0.985
we can see that it has the same scope
R₄₀ = R₅₀ = (v₀² / g) 0.985
R₂₅ = R₆₅ = (v₀² / g) 0.766
3) the maximum height is reached when the vertical speed is zero
[tex]v_y^2 = v_{oy}^2 - 2 g y[/tex]
v_y = 0
y = [tex]\frac{v_{oy}^2}{2g}[/tex]
y = (v₀² /2g) ( sin θ)²
therefore the height is maximum for θ = 90º
4) θ = 25º
y₂₅ = (v₀ / 2g) (sin 25)²
y₂₅ = (v₀ / 2g) 0.179
θ = 45º
y₄₅ = (v₀ / 2g) (sin 45)²
y₄₅ = (v₀ / 2g) 0.5
θ = 65º
y₆₀ = (v₀ / 2g) (sin 65)²
y₆₅ = (v₀ / 2g) 0.821
5) It is appreciated that as the launch angle increases the height increases, the maximum is when the movement is vertical
For the launch angle, the reach has a maximum for the angle of 45º, this is due to the symmetry of the sine function around this value.
During the Egg Drop lab sim you manipulated several variables like height, egg mass and impact surface. If you dropped a large egg from 10 meters which one condition would allow the best chance for the egg to survive unbroken?
Answers
Answer:
An egg with a thick shell.
Explanation:
Hope this helps.
an object of volume 1m3 and density of 500kg/m3 float in water what volume of water is displaced
Answers
Answer:
[tex]0.5\; \rm m^{3}[/tex].
Explanation:
Calculate the mass of this object:
[tex]\begin{aligned}& m(\text{object}) \\ &= \rho(\text{object}) \cdot V(\text{object}) \\ &= 500\; \rm kg \cdot m^{-3} \times 1\; \rm m^{3} = 500\; \rm kg\end{aligned}[/tex].
Multiple the mass of this object by the gravitational field strength, [tex]g[/tex], to find the weight of this object: [tex]W(\text{object}) = m(\text{object}) \cdot g[/tex].
Since this object is floating in water, the buoyancy force on it should be equal to its weight:
[tex]F(\text{buoyancy}) = W(\text{object}) = m(\text{object}) \cdot g[/tex].
By Archimedes' Principle, the weight of the water that this object displaces would be equal to [tex]F(\text{buoyancy})[/tex], the size of buoyancy force on this object,
Hence, the weight of water displaced would be [tex]W(\text{object}) = m(\text{object}) \cdot g[/tex].
Divide this weight by [tex]g[/tex] to find the mass of water displaced:
[tex]\begin{aligned} & m(\text{water displaced}) \\ &= \frac{W(\text{water displaced})}{g} \\ &= \frac{m(\text{object}) \cdot g}{g} = m(\text{object}) = 500\; \rm kg\end{aligned}[/tex].
Assume that the density of water is [tex]\rho(\text{water}) = 1000\; \rm kg \cdot m^{-3}[/tex]. The volume of water displaced would be:
[tex]\begin{aligned}& V(\text{water displaced}) \\ &= \frac{m(\text{water displaced})}{\rho(\text{water})} \\ &= \frac{500\; \rm kg}{1000\; \rm kg \cdot m^{-3}} = 0.5\; \rm m^{3}\end{aligned}[/tex].
A motorcycle daredevil plans to ride up a 2.0-m-high, 20∘ ramp, sail across a 10-m-wide pool filled with hungry crocodiles, and land at ground level on the other side. He has done this stunt many times and approaches it with confidence. Unfortunately, the motorcycle engine dies just as he starts up the ramp. He is going 10.4 m/s at that instant, and the rolling friction of his rubber tires (coefficient 0.02) is not negligible. Part A: Justify your answer by calculating the distance he travels through the air after leaving the end of the ramp.
Answers
Answer:
The motorcycle daredevil does not sail across the 10-m wide pool filled with hungry crocodiles
Explanation:
The given parameters are;
The height of the ramp = 2.0 m-high
The angle of elevation of the ramp, θ = 20°
The width of the pool = 10 m
The speed with which he is going when the engine fails = 10.4 m/s
The rolling friction between the rubber tires, μ = 0.02
μ·g·cos(θ) = (1/2)·(a)
a = (μ·g·cos(θ))/(1/2)
Where;
a = The acceleration down the plane
∴ a = 0.02 × 9.81 × cos(20°)/(1/2) ≈ 0.369
The length of the ramp, l = 2.0 m/(sin(20°)) ≈ 5.8476088 m
The velocity at the end of the ramp, v² = u² - 2·a·l
∴ v² = 10.4² - 2×(0.369 + 9.81 × sin(20°))×5.8476088 ≈ 64.60446471
v ≈ √(64.60446471) ≈ 8.04
∴ The velocity at the top of the ramp, v ≈ 8.04 m/s
The time it takes the motorcycle to reach ground level from the top of the ramp, t, is given as follows;
h = h₀ + u·t + (1/2)·a·t²
h₀ = 2, u = 8.04×sin(20°), a = -9.81
When h = 0 (ground level), we have;
∴ h = 2+ 8.04×sin(20°)·t - (1/2)×9.81×t²
0 ≈ 2.75·t - 4.905·t² + 2
2.75·t - 4.905·t² + 2 = 0
By using a graphing calculator, we have, t = 0.978 or t = -0.42
At ground level, the time of flight, t ≈ 0.978 s
The horizontal distance the motorcycle travels, before landing, x = u × cos(θ) × t
∴ x = 8.04×cos(20 Degrees) × 0.978 = 7.3889
The horizontal distance the motorcycle travels, before landing, x ≈ 7.3889 m
Therefore, given that the horizontal distance the motorcycle travels in the air 7.3889 m < 10 m, therefore the motorcycle daredevil does not sail across the 10-m wide pool filled with hungry crocodiles
Dad, if you are seeing this, then I have run away. Angie has been torturing me ever since you started dating her, and I have had enough of it. I have been trying to tell you, but you would never listen. Goodbye, and Angie, if you are seeing this, I posted this on here, so you will not be able to delete anything. Have a nice life
Answers
Answer:
hey are you ok!?!?!?!
Explanation:
Is Angie your Dad new gf or wife???
Answer:
:(
Explanation:
u ok?
running away from problems only makes things worse. Your teaching urself to run. but I dont blame u
anyway hope u find what ur looking for out there!!
how can professional education improve life of people?
Answers
Answer:
Professional education as a science has been defined as a field of educational science that studies the growth of a person into a profession and the related problems. It refers to organized education aimed at the knowledge and skills needed in the profession and working life, as well as growing into active citizenship and membership of society. Professional education as a discipline studies vocational training, skills and learning related to the profession and working life.
It enables young people and adults to pursue goal-oriented learning with the aim of acquiring and developing the necessary skills in the profession and creating the conditions for independent professional activity and continuous development in the profession.
A householder has a 10.8 kW electric shower installed in the bathroom. Calculate the current drawn from the mains electricity supply by the shower.
Answers
Answer:
90 A
Explanation:
Applying,
P = VI.............. Equation 1
Where P = Power, V = Supply voltage, I = current.
Make I the subject of the equation
I = P/V.............. Equation 2
From the question,
Assuming the Voltage of the main electric supply is 120 V
Given: P = 10.8 kW = 10800 W, V = 120 V (household voltage)
Substitute these values into equation 2
I = 10800/120
I = 90 A
HELP ME PLEAASSEEE ILL MARK U THE BRAINLIEST
Answers
Answer:
Gravitational energy and kinetic energy
A 1.6 Kg bird that is flying through the air has 220 J of kinetic energy. How fast is the bird flying?
20.5 m/s
19.4 m/s
18.2 m/s
16.6 m/s
cuh
Answers
Answer:
v = 16.58 m/s
Explanation:
Given that,
Mass of a bird, m = 1.6 kg
Kinetic energy of the bird, K = 220 J
We need to find the speed of the bird. The formula for the kinetic energy is given by :
[tex]E=\dfrac{1}{2}mv^2[/tex]
Where
v is the speed of the bird
So,
[tex]v=\sqrt{\dfrac{2E}{m}}[/tex]
Put all the values,
[tex]v=\sqrt{\dfrac{2\times 220}{1.6}}\\\\v=16.58\ m/s[/tex]
So, the speed of the bird is equal to 16.58 m/s.
Write the formula of gravitational force between two bodies of masses x and y kept at a distance r
Answers
Answer:
F=Gxy/r^2
Explanation:
F=Gm1m2/d^2
F=Gxy/r^2
A man ran a 5 mile race. The race looped around a city park and back
to the starting line. What is the man's total displacement?
A. 0 miles
B. 2.5 miles
C. 5 miles
D. 10 miles
Answers
Answer:
How big the city because it could be a big all city
A jetliner can fly 8.0 hours on a full load of fuel. Without any wind it flies at a speed of 2.42 x 102 m/s. The plane is to make a round-trip by heading due west for a certain distance, turning around, and then heading due east for the return trip. During the entire flight, however, the plane encounters a 40.7-m/s wind from the jet stream, which blows from west to east. What is the maximum distance (in kilometers) that the plane can travel due west and just be able to return home
Answers
Answer:
3386.23 Km
Explanation:
Without any wind interference the speed of the plane, it flies at 2.42 x 102 m/s or 242 m/s
The magnitude of the velocity of the air = 40.7-m/s
The time taken, for the plane to fly due west, tw = distance, x ÷ (speed of the plane without wind interference, up - the magnitude of the velocity of the air, ua).......... (equation 1)
The time taken, for the plane to fly due east, te = distance, x ÷ (speed of the plane without wind interference, up + the magnitude of the velocity of the air, ua).......... (equation 2)
To calculate the total time, t, the plane can fly to cover east and west distances, we add equation 1 and 2 together
t = (x ÷ (up - ua)) + (x ÷ (up + ua))
Making distance x, the subject of the formula we have:
x = t ( up²- ua²) ÷ 2up
note t = 8.0 hours which is (8 x 60 x 60) seconds = 28,800
So, x = 28,800 ((242 m/s)² - (40.7-m/s)²)÷ 2(242 m/s)
x= 1,638,936,288 ÷ 484
= 3386.23 Km
Choose the incorrect statement about the proton: Group of answer choices The proton has the atomic mass of 1 amu The proton has the same charge as the neutron. The proton has greater mass than an electron The proton and the neutron have approximately the same atomic mass
Answers
Answer:
The proton has the same charge as the neutron.
Explanation:
Because the proton has a positive charge whereas the neutron has no charge at all.
What is speed in a specific direction called
Answers
Answer:
my brainly answer got deleted for no reason but its velocity thats the name of speed in 1 direction
Explanation:
what is usually placed on the x axis
Answers
Answer:
(independent variable) x-axis
(dependent variable) y-axis
Which of the following describes a mixture?( 2 A combination of two or more substances O A combination of two sources of energy An object made of the same substance A substance that is made up of matter
Answers
Answer:
A combination of two or more substances.
Let's say you cut open a log of wood with an axe, what type of simple machine are you using? Does it matter how sharp it is?
Answers
yes it matters because if it's not sharp it would take all day
Answer:
an axe is a type of machine called a wedge. it does matter how sharp your axe is. if your axe is not sharp then you will have a harder time cutting wood.
Explanation:
Scientists today use satellites as well as telescopes to observe the universe. Suggest one way
that developments in equipment have changed the information scientists collect about
planets.
Answers
Answer:
Rovers, unmanned space probes, modern instruments,
Explanation:
The following figure shows a Ferris wheel that rotates 6 times each minute and has a diameter of 17.8. What is the centripetal acceleration of a rider?
Answers
Answer:
106.8
Explanation:
If you multiply 6 and 17.8, you'll get 106.8.
If that's wrong, my apology's !
Ở nhiệt độ không đổi, dưới áp suất 10^4 Pa l, một lượng khí có thể tích 10l. Tính thể tích lượng khí đó dưới áp suất 5.10^4 Pa
Answers
Answer:
Thể tích cuối cùng, V2 = 2 L
Explanation:
Cho các dữ liệu sau đây;
Khối lượng ban đầu = 10 L
Áp suất ban đầu = 10⁴ = 10000 Pa
Áp suất cuối cùng = 5 * 10⁴ = 50000 Pa
Để tìm tập mới hoặc tập cuối cùng, chúng ta sẽ sử dụng định luật Boyle;
Để tìm tập mới V2, chúng tôi sẽ sử dụng định luật Boyles.
Boyles phát biểu rằng khi nhiệt độ của khí lý tưởng được giữ không đổi, áp suất của khí tỉ lệ nghịch với thể tích mà khí chiếm giữ.
Về mặt toán học, định luật Boyles được đưa ra bởi;
[tex] PV = K[/tex]
[tex] P_{1}V_{1} = P_{2}V_{2} [/tex]
Thay vào phương trình, ta có;
[tex] 10000 * 10 = 50000V_{2} [/tex]
[tex] 100000 = 50000V_{2} [/tex]
[tex] V_{2} = \frac {100000}{50000}[/tex]
[tex] V_{2} = 2 [/tex]
Thể tích cuối cùng, V2 = 2 L
if you can't test an explanation through experiment,
A) the phenomena let's not have occurred in the physical world
B) people will disagree on whether the explanation is correct
C) your observation must not have really occurred
D) a group of scientists will vote on their favorite explanation
Answers
Answer:
B
Explanation:
convert 3 hours 30 minutes into second
Answers
Answer:
9000 SECONDS
Explanation:3 hours=180 mins
180+30=210mins
150x60=12600secs
Calculate the force that is applied on this 0.25 kg ball, as it goes down to hit the ground.
(given gravity= 9.8 m/s2).
Answers
Answer:
F = 2.45 N
Explanation:
m = 0.25 kg
a = 9.8 m/s^2
F = ma
F = (0.25)(9.8)
F = 2.45 N
2. CaCl2 (s) + 2H20 ---> Ca(OH)2 (aq) + 2HCl (g) + heat
Is it an endothermic reaction?
Answers
Answer:
no
Explanation:
Calcium chloride is a chemical compound made up of calcium ions and chlorine ions. ... Mixing calcium chloride with water is an exothermic reaction, which means that the combination of the two substances releases heat. Thus, when you add calcium chloride to water, the solution heats.
A 1.50 kg ball moving at 4.50 m/s is caught by a 60.0 kg man while the man is standing on ice. How fast will the man / ball combination be moving after the ball is caught by the man?
Answers
Answer:
Explanation:
The Law of Momentum Conservation applies, and the formula for us here specific to this problem is:
[tex][(m_bv_b)+(m_mv_m)]_b=[(m_b+m_m)v_{both}]_a[/tex] and filling in:
[(1.50*4.50)+60.0*0)] = [(1.50 + 60.0)v] and
6.75 + 0 = 61.5v so
v = .110 m/s in the same direction as the ball
for the light bulb to produce the aame illuminace with the candle to the screen, the luminous intensity of the bulb is _______ that of the candle?
Answers
Answer:
9 times
Explanation:
luminosity decreases to the square of the distance
Which action would decrease the entropy of a deck of playing cards?
A. Shuffling the deck
B. Dropping the deck on the floor
O C. Stacking the cards in order of face value
D. Throwing the deck up into the air
SUBMIT
Answers
Answer:
A. Stacking the cards in order of face value
Explanation:
A deck of playing cards' entropy would be reduced by being stacked in order of face value. Option C is correct.
What is entropy?The degree of randomness of the system is known as entropy.
If the system is organized its entropy is less. Stacking the cards in order of face value is an organized action.
Stacking the cards in order of face value is the action would decrease the entropy of a deck of playing cards.
Hence, option C is correct.
To learn more about entropy refer to;
https://brainly.com/question/13146879
#SPJ2
Which wave shows the loudest sound below?
Answers
Answer:
I think C
Explanation:
If im right give brainliest :)