Answer: 19.80 cm
Explanation:
Given
focal length [tex]f=6.14\ cm[/tex] (as focal length is positive, it is converging lens)
Image distance [tex]v=1.5f[/tex]
[tex]v=1.5\times 6.14\\v=9.21\ cm[/tex]
using lens formula
[tex]\dfrac{1}{v}+\dfrac{1}{u}=\dfrac{1}{f}[/tex]
insert values
[tex]\dfrac{1}{u}=\dfrac{1}{6.14}-\dfrac{1}{8.9}\\\\\dfrac{1}{u}=0.1628-0.1123\\\\\dfrac{1}{u}=0.0505\\\\u=19.80\ cm[/tex]
Thus, the distance of the object is 19.80 cm
Given:
Focal length, f = 6.14 cmNow,
The image distance will be:
→ [tex]v = 1.5 f[/tex]
[tex]= 1.5\times 6.14[/tex]
[tex]= 9.21 \ cm[/tex]
By using the lens formula, we get
→ [tex]\frac{1}{v} + \frac{1}{u} = \frac{1}{f}[/tex]
By putting the values, we get
→ [tex]\frac{1}{u} = \frac{1}{6.14} - \frac{1}{8.9}[/tex]
[tex]\frac{1}{u} = 0.1628-0.1123[/tex]
[tex]\frac{1}{u} = 0.0505[/tex]
[tex]u = 19.80 \ cm[/tex]
Thus the answer above is correct.
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Earth's gravitational
attraction
vanishes at
force of
force
(a) 6400 km (b) infinity
(c) 42300 km
(d) 1000 km
Answer:
b> infinity
Explanation:
i think b is the correct one
Answer:
(B) Infinity
Explanation:
Gravity can basically never become zero except hypothetically at infinity.
It is found that the most probable speed of molecules in a gas at equilibrium temperature
T2 is the same as the root-mean-square speed of the molecules in this gas when its equilibrium
temperature is T1. Find T2/T1.
Answer:
[tex]\frac{T_2}{T_1} = 1[/tex]
Explanation:
The root mean square velocity of the gas at an equilibrium temperature is given by the following formula:
[tex]v = \sqrt{\frac{3RT}{M} }[/tex]
where,
v = root mean square velocity of molecules:
R = Universal Gas Constant
T = Equilibrium Temperature
M = Molecular Mass of the Gas
Therefore,
For T = T₁ :
[tex]v = \sqrt{\frac{3RT_1}{M} }[/tex]
For T = T₂ :
[tex]v = \sqrt{\frac{3RT_2}{M} }[/tex]
Since both speeds are given to be equal. Therefore, comparing both equations, we get:
[tex]\sqrt{\frac{3RT_1}{M} }=\sqrt{\frac{3RT_2}{M} }\\\\\frac{T_2}{T_1} = 1[/tex]
Six vectors (a through f ) have the magnitudes and directions indicated in the figure. (Figure 1)
1.Rank the vector combinations on the basis of their magnitude.
Rank from largest to smallest. To rank items as equivalent, overlap them.
a+c
f+c
d
a+b
a+e
a+d
2.Rank the vector combinations on the basis of their angle, measured counterclockwise from the positivexaxis. Vectors parallel to the positivexaxis have an angle of0^\circ. All angle measures fall between0^\circand360^\circ.
Rank from largest to smallest. To rank items as equivalent, overlap them.
a+d
f+c
a+b
a+e
a+c
d
1. The rank of the vector combinations on the basis of their magnitude
a+b = a +d > a+c > f +c = d > a + e.
2. The rank of the vector combinations on the basis of their magnitude
a+d = a +b > a+c > f +c =d > a+e.
What is vector quantity?Any physical quantity having both magnitude and direction is called vector quantity.
According to figure:
a = 2 unit b = 2 unit c = 1 unit d = 2 unit e = 1 unit and f = √5 unit.
a + c = 2+1 unit = 3 unit
a + b = 2√2 unit
a + e = 2 -1 = 1 unit
a +d = 2√2 unit
f+ c = 2 unit
a+d = 2√2 unit
f+c = 2 unit
a+b = 2√2 unit
a+e = 1 unit
a+c = 3 unit
Hence, rank of the vector combinations on the basis of their magnitude
a+b = a +d > a+c > f +c = d > a + e.
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Explain using physics vocabulary WHY the volume increases as the temperature increases.
Answer:
P V = n R T ideal gas equation
V = k T where k = a constant and equals k = n R / P
V is proportional to T when other factors are constant
When floating a ping-pong ball with a hairdryer, which two forces are balanced?
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
There are two forces which are being balanced :
(Ⅰ) The force of gravity which is pushing the ping-pong ball downwards.
(Ⅱ) The force of the air that's coming from hairdryer which is pushing ping-pong ball upwards.
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
Write 3 – 4 sentences evaluating the use of nuclear fission to generate electric energy. Provide at least one point in favor of and two points against using fission.
Answer:
One point in favor of using nuclear fission to generate electric energy is that it is a relatively low-carbon option, producing fewer greenhouse gas emissions than fossil fuels. However, there are several points against using fission as an energy source. One is that it produces radioactive waste that can be difficult and costly to dispose of safely. Another is that there is the risk of accidents or leaks, which can have serious consequences for both people and the environment. Additionally, the construction of nuclear power plants is expensive and time-consuming, and the plants themselves have a limited lifespan.
You are asked to design a spring that will give a 1110 kg satellite a speed of 3.55 m/s relative to an orbiting space shuttle. Your spring is to give the satellite a maximum acceleration of 5.00g. The spring's mass, the recoil kinetic energy of the shuttle, and changes in gravitational potential energy will all be negligible.
(a) What must the force constant of the spring be?
(b) What distance must the spring be compressed?
Answer:
Explanation:
Kinetic energy of satellite = 1/2 m v²
= .5 x 1110 x 3.55²
= 6994.39 J
This energy comes from the elastic energy of compressed spring
elastic energy = 1/2 k d² where k is elastic constant and d is compression in spring .
1/2 k d² = 6994.39 J
kd² = 13988.77 --------------------------- (1)
force created by spring = k d
acceleration = force / mass
= k d / 1110
Given ,
k d / 1110 = 5 x g = 5 x 9.8 = 49
kd = 54390 ------------------------------------------------- ( 2 )
dividing ( 1 ) and ( 2 )
d = 13988.77 / 54390
= .25719 m
= 25.72 cm
kd = 54390
k x .25719 m = 54390
k = 211477.9 N /m
The lower the temperature of the solvent, the faster the solute will dissolve. True False
Answer:
false.
Explanation:
Since temperature and kinetic energy of molecules are proportional, the more we increase the temperature of the solvent, the faster the solute will dissolve.
This increase of kinetic energy allows the solvent molecules to more effective break apart the solvent molecules that are held together by intermolecular forces.
Mention the key scientists contributed in the following realizations and list the years: 1- Electric charges (positive and negative) 2- Coulomb's law 3- Electric field 4- Gauss's law Type your answer and keep everything to less than 200 words.
Answer:
1- Electric charges (positive and negative) - Benjamin Franklin in 1742.
2- Coulomb's law: Charles Augustin Coulomb from 1764 to 1772.
3- Electric field: Michael Faraday - 1821
4- Gauss's Law: Joseph Louis Lagrange was the first to formulate the rule in 1773, followed by Carl Friedrich Gauss in 1867.
Explanation:
The Electric charge: In 1742, an American orator and inventor named Benjamin Franklin designed the positive and negative values of the charge.
Coulomb's law: The theory was first published in 1785 by Charles Augustin de Coulomb, a French physicist who was instrumental and prominent in the advancement of electromagnetism theory.
Gauss Law: Carl Friedrich Gauss developed this law in 1835. It was not released until 1867, However, Classical electrodynamics is based on this law.
a garden hose of diameter 2cm is used to fill 1000 litre container in a time of 10 minutes.calculate the flow rate in cubic cm per second
Answer: Flow rate 1670 cm³/s
Explanation: Cross section A = π · (2 cm)² = 12.56 cm²
V = 1000 l , t = 10 min = 600 s
dV / dt = 1000 l / 600 s = 1,67 l/s = 1670 cm³ /s
That was not asked,
dV / dt = vA and flow speed v = (dV/dt)/A = 133 cm/s
Which of the following is a sign of puberty?
A.
intense changes in hormone balance
B.
increased height and strength
C.
development of sexual characteristics
D.
all of the above
Please select the best answer from the choices provided.
A
B
C
D
A perpendicular force is applied to a certain area and produces a pressure P. If the
same force is applied to a twice bigger area, the new pressure on the surface is:
Answer:
p/2
Explanation:
a boy is swinging a toy on apiece of string in a vertical circle. the toy has mass 150g and the radius of circle is 0.8m. a) he swings the toy with a linear velocity 2m/s. will the top move in a circle? explain your answer.
The top move will in a circle because there is tension at the top which will add up with the weight of the toy to maintain equal centripetal force providing the circular motion.
What is tension of the top of the vertical circle?
The tension experienced by the top of the vertical circle is calculated by using the following formula.
T = Fc - W
where;
Fc is the centripetal force of the toyW is the weight of the toyT = mv²/r - mg
where;
m is the mass of the toyv is the linear speed of the toyg is acceleration due to gravityr is the radius of the vertical circleThe tension experienced by the toy at the top of the vertical circle is calculated as follows;
T = ( 0.15 x 2² / 0.8 ) - ( 0.15 x 9.8 )
T = 0.75 - 1.47
T = -0.72 N
Thus, with the negative tension at the top of the vertical circle, the sum of the tension force and the weight of the toy will be equal to the centripetal force to maintain the orbit of the toy in a circular path.
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How do you add sound waves?
The addition of two sound waves produces a new wave of higher amplitude if their compressions and refractions line up. It is also known as constructive interference.
What is interference?Interference can be described as a phenomenon in which two waves combine by adding at every single point in space and time, to form a resultant wave of greater or lower amplitude.
Constructive and destructive interference occurs in the interaction of waves that are correlated with each other because they come from the same source.
When two sound waves propagate in the same direction in phase with each other, their amplitude gets added, and the resultant wave is produced from constructive interference.
When two waves interfere with each other and have a displacement in the opposite direction. When a crest of a wave meets the trough of another wave, the waves undergo destructive interference.
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Which law of motion accounts for the following statement? An apple accelerates as it falls from a tree
The law of motion that accounts for an apple accelerating as it falls from a tree is the law of gravity, specifically Newton's Second Law of Motion.
Newton's Second Law of Motion states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. In the case of an apple falling from a tree, the net force acting on it is the gravitational force pulling it toward the Earth. The acceleration of the apple is therefore determined by the strength of this gravitational force and the mass of the apple.
As the apple falls from the tree, it accelerates toward the ground due to the gravitational force acting on it. The faster the apple falls, the greater its acceleration. This acceleration is commonly referred to as acceleration due to gravity, which is a constant value of 9.81 m/s^2 near the surface of the Earth.
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Take 100 points look the picture
Answer:
An aqueous stagnant layer that overlies the apical membrane and the subepithelial blood flow are potential barriers to the absorption of drugs that readily penetrate the absorbing cell of the epithelium. The apical, basal, and basement membranes are potential barriers to the absorption of less permeable drugs.
claiming points because question is old + no keywords in title
Subtract the following and give the answer using significant figures 3.400-0.7591
Answer:
the answer is 2.6409.
Explanation:
i asked my teacher
which of the following changes will increase the frequency of an oscillating pendulum?
a. an increase in the mass of the pendulum.
b. an increase in the initial height of release.
c. an increase in the length of the rope.
d. more than one of the above
e. none of the above
explain your answer.
NO LINKS.
Answer:
e. none of the above
Explanation:
The frequency of an oscillating pendulum is the number of oscillation per unit time.
Mathematically, the frequency of an oscillating pendulum is given by the formula;
F = 1/2π√(k/m)
Where;
F is the frequency of oscillation.
k is the spring constant.
m is the mass of the spring.
Hence, none of the changes mentioned will increase the frequency of an oscillating pendulum.
When the Apollo 11 lunar module Eagle lands on the moon it comes to a stop 10m above the surface of the moon. The last 10m it freely falls to the surface of the Moon.
i) How long does it take for the Eagle to touch down?
ii) What is the velocity of the lunar module when it hits the surface of the moon?
Answer:
i) 3.514 s, ii) 5.692 m/s
Explanation:
i) We can use Newton's second law of motion to find out how long does it take for the Eagle to touch down.
as the equation says for free-falling
h = ut +0.5gt^2
Here, h = 10 m, g = acceleration due to gravity = 1.62 m/s^2( on moon surface)
initial velocity u = 0
10 = 0.5×1.62t^2
t = 3.514 seconds
Therefore, it takes t = 3.514 seconds for the Eagle to touch down.
ii) use Newton's 1st equation of motion to calculate the velocity of the lunar module when it hits the surface of the moon
v = u + gt
v = 0+ 1.62×3.514
v= 5.692 m/s
Taylor has set this fitness goal: I will go to the YMCA and lift weights for 30 minutes every other day for the entire month of January. What is MOST likely TRUE about this goal?
Since Taylor has set this fitness goal: I will go to the YMCA and lift weights for 30 minutes every other day for the entire month of January. The option that MOST likely TRUE about this goal is option A:It is a short-term goal.
What is the fitness goal about?A short-term goal is a goal that can be achieved within a relatively short period of time, usually less than a year. In this case, the goal is to go to the YMCA and lift weights for 30 minutes every other day for the entire month of January.
In this case, Taylor's goal is to go to the YMCA and lift weights for 30 minutes every other day for the entire month of January. This goal is specific, as it clearly states what Taylor wants to accomplish, and it is measurable.
This goal can be achieved within the month of January and it's a specific, measurable and time-bound goal, which are characteristics of short-term goals.
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See full question below
Taylor has set this fitness goal: I will go to the YMCA and lift weights for 30 minutes every other day for the entire month of January. What is MOST likely TRUE about this goal?
It is a short-term goal.
It is a long-term goal.
It is an unrealistic goal.
It is a mental health goal.
Answer:it’s a short-term goal
Explanation:
because it’s only for the month of January she will be doing this goal.
This theory of motivation focuses on finding the right level of stimulation. An organism tries to find behaviors that actually increase arousal because everything else bores them.
*
2 points
Cognitive Theory
Hierarchy of Needs
Drive-Reduction Model
Optimal Arousal Theory
Optimal Arousal theory focuses on finding the right level of stimulation.
What is Optimal Arousal theory?William James (1842–1910), frequently referred to as the father of psychology in the United States, made significant contributions to early studies on motivation.
James proposed a number of instincts that help with survival as the driving forces behind conduct . An instinct is a species-specific pattern of behavior that is not taught, according to biology.
But there was a lot of disagreement over what exactly constitutes instinct among James's contemporaries. James postulated a number of unique human instincts, although many of his contemporaries had different lists.
Therefore, Optimal Arousal theory focuses on finding the right level of stimulation.
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What are the names and number of of atoms in a molecule of nitrous oxide,N2O?
Answer:
2 nitrogen and 1 oxygen,
Explanation:
N2=2 nitrogen
O= a single element
You are in the year where the earth has no more land available for houses you decide to build an apartment up and need things to survive in each earths 5 layers (troposphere,stratosphere, mesosphere, thermosphere, exosphere) Question: what things would you need to survive the mesosphere
PLS I RLLY NEED SOME HELP
The things that I will need to survive the layer of the earth called the mesosphere would be thick clothings.
What are the 5 layers of the earth?The five(5) layers of the earth include the following such as:
troposphere,stratosphere, mesosphere, thermosphere, and exosphere.The Mesosphere is one of the layers of the earth that is found directly above the stratosphere and then below the thermosphere.
The characteristics of the mesosphere is that the temperature rises due to reduced absorption of solar radiation and increased cooling by CO2 radiative emissions.
Therefore, for an individual to survive and live effectively at the Mesosphere layer of the earth, such needs thick clothings.
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You are in space station in orbiting around mars, will your weight increase, or decrease explain.
Answer and Explanation:
Your mass will always stay the same, the same as it is on Earth.
It is your weight that changes, which is why you would jump higher on the moon and on mars. You would have a decrease in weight, allowing you to jump higher and stay in the air longer.
#teamtrees #PAW (Plant And Water)
A graph of v(t) is shown for a world-class track sprinter in a 100 -m race. (See figure below. For each answer, enter a number.)
(a) What is his average velocity (in m / s ) for the first 4 s} ?
______ m/ s
(b) What is his instantaneous velocity (in m / s ) at t=6 s ?
______ m / s
(c) What is his average acceleration (in m / s²) between 0 and 4s?
________m / s²
(d) What is his time (in s) for the race?
______ s
a) The average velocity at 4s is 12 m/s
b) The instantaneous velocity at t= 6s is 12 m/s
c) The average acceleration is; 12 - 0/ 4 - 0 n= 3 m/s^2
d) The time for the race is 10 s
What is the velocity time graph?We know that the velocity time graph is the kind of set up that has two axis and we can be able to use it to be read off the velocity of the acceleration of the object. I would want us to recall that the acceleration is the rate of change of the velocity of the object with time.
Now we have that;
The graph for the velocity of the object can be obtained by looking at the image that has been shown and then we read off the points that are on the graph. The vertical axis shows the velocity of the graph while the horizontal axis shows the time that is covered in the graph.
The acceleration would be the ratio of the change in the velocity to the change in the time of the object.
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Prove these statements:______.
(a) As long as you can neglect the effects of the air, if you throw anything vertically upward, it will have the same speed when it returns to the release point as when it was released.
(b) The time of flight will be twice the time it takes to get to its highest point.
Answer:
a. The final speed , v' when it returns is the same speed, u as when it was released. v' = u
b. The time of flight T equals twice the time taken to reach the highest point, t. T = 2t
Explanation:
(a) As long as you can neglect the effects of the air, if you throw anything vertically upward, it will have the same speed when it returns to the release point as when it was released.
Using v² = u² - 2gh, we find the maximum height the object reaches. With u = initial vertical velocity, v = velocity at maximum height = 0 m/s (since it momentarily stops), g = acceleration due to gravity and h = maximum height
So, v² = u² - 2gh
0² = u² - 2gh
0 = u² - 2gh
-u² = -2gh
h = -u²/-2g
h = u²/2g
On its return trip to the point where it is released, the distance covered is h and its initial velocity u' = 0
With v' as the final velocity, we use
v'² = u'² + 2gh
substituting the values of the variables into the equation, we have
v'² = 0² + 2g(u²/2g)
v'² = 0² + u²
v'² = u²
taking square-root of both sides, we have
√v'² = √u²
v' = u
So, the final speed , v' when it returns is the same speed u as when it was released. v' = u
(b) The time of flight will be twice the time it takes to get to its highest point.
At the highest point, its velocity is zero.
Using v = u - gt where u = initial velocity, v = final velocity(velocity at highest point) = 0 (since it is momentarily at rest), g = acceleration due to gravity and t = time taken to reach the highest point.
So, substituting the values of the variables into the equation, we have
v = u - gt
0 = u - gt
-u = -gt
t = u/g
On its return trip, since we know its final velocity = u and its initial velocity is 0 m/s, again, using
v' = u' + gt' where u' = initial velocity = 0 (since it is at its highest point), v' = final velocity = u (velocity on return to release point), g = acceleration due to gravity and t' = time taken to reach release point from highest point
So, substituting the values of the variables into the equation, we have
v' = u' + gt'
u = 0 + gt'
u = gt'
t' = u/g = t
So, the time of flight, T = time taken to reach highest point + time taken to return to release point
T = t + t'
T = u/g +u/g
T = 2u/g
T = 2t
So, the time of flight T equals twice the time taken to reach the highest point, t. T = 2t
plzz help .....When comparing a prokaryotic cell to a eukaryotic cell, an important difference is that the prokaryotic cell
A.is simple, performing limited functions.
B.is relatively small in size and unorganized.
C.has its genetic information stored in the nucleus.
D.has no structures that allow it to store food.
Answer:
C
Explanation:
Physics Question!!!!!
Answer:
bbibinononobyvtcrxrxextcyvubuvububububububbu
Answer:
im just gettin these points babbbyyyyyy
Explanation:
Two long straight parallel wires separated by 1m carry 20A current each in the same direction. Find the magnitude and direction of the magnetic field at a) point midway between the wires; b) point 25cm to the right of point midway between the wires; c) point 75cm to the right of point midway between the wires; d) point 25 cm above one of the wires.
Answer:
Explanation:
a )
At a point midway between the wires , magnetic field due to two wires will be equal and opposite so they will cancel each other . Therefore , net magnetic field will be zero .
b )
At a point 25cm to the right of point midway between the wires
distance of this point will be .25 m from one wire and .75 m from other wire .
Magnetic field due to a current carrying wire can be given by the following expression .
B = (μ₀ / 4π ) x 2I / R where I is current and R is distance of the point
= 10⁻⁷ x 2I / R
For the wire at a distance of .25 m
magnetic field B₁ = 10⁻⁷ x 2 x 20 / .25
= 160 x 10⁻⁷ T .
For the wire at a distance of .75 m
magnetic field B₂ = 10⁻⁷ x 2 x 20 / .75
= 53.33 x 10⁻⁷ T .
These fields are opposite to each other , so
net magnetic field = 160 x 10⁻⁷ T - 53.33 x 10⁻⁷ T
= 106.67 x 10⁻⁷ T .
If the wires are horizontal and current is flowing away from the observer , net magnetic field will be in vertically upward direction .
c )
At a point 75cm to the right of point midway between the wires
The point will be .25 m from one wire and 1 .25 m from other wire . And the magnetic field will be aligned in the same direction .
For the wire at a distance of .25 m
magnetic field B₁ = 10⁻⁷ x 2 x 20 / .25
= 160 x 10⁻⁷ T
For the wire at a distance of 1.25 m
magnetic field B₂ = 10⁻⁷ x 2 x 20 / 1.25
= 32 x 10⁻⁷ T
As the fields are aligned in the same direction
Net magnetic field = 160 x 10⁻⁷ T + = 32 x 10⁻⁷ T
= 192 x 10⁻⁷ T .
If the wires are horizontal and current is flowing away from the observer , net magnetic field will be in vertically downward direction.
describe wht happends to the motion of the moving object when there is no resultant force acting on it
Answer:
it keeps moving until a force disturbs it
Explanation: