Intensive agriculture leads to ecosystem loss and contributes to global warming.
Intensive agriculture is a farming method that uses large amounts of labor and investment to increase the yield of the land.
Human beings form an integral part of the environment and have the largest ecological footprint.The environment has suffered for thousands of years due to human activity.Intensive agriculture is generally aimed at feeding a large population of people, however, this method has contributed as one of the biggest threats to the global environment as it leads to ecosystem loss and global warming.It is responsible for 80 percent of tropical deforestation and the emergence of new parasites and the reappearance of parasites that were once under control.It reduces beneficial plants and insects and depletes and degrades the soil on which they depend.Thus intensive agriculture results in soil erosion followed by the genetic erosion of livestock and crop species worldwide.
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2. The muscles on the right side of your body are controlled by what part of your brain? the right cortex the right hemisphere the left cortex the left hemisphere
Answer:
Motor cortex
Both hemispheres have a motor cortex, with each side controlling muscles on the opposite side of the body (i.e, the left hemisphere controls muscles on the right side of the body).
Explanation:
A sandbag dropped from a balloon ascending at 4.2 m/s lands on the ground 10.0 s
later. What was the altitude of the balloon at the time the sandbag was dropped?
titude of 50 m
The altitude of the balloon at the time the sandbag was dropped is 490m.
What does height mean?The height of an object is the measurement taken from its bottom to its top. In geometry, it is occasionally referred to as altitude. It is calculated how far apart the lowest and highest points are vertically. It is frequently the measurement along an object's y-axis in coordinate geometry.
Briefing:Sandbag dropped from height above ground = H:
H = v₀t-at²/2
= 4.2×t-gt²/2
t = 10 s
g = 9.8 m/s²
H = 4.2×10- 9.8×10²/2
H = -448 m
The height of the balloon when the sandbag was dropped = 448 m
During these 10 s the balloon ascended an additional:
4.2×10 = 42 m
So the height of the balloon when the sandbag reached the ground is:
448+42 = 490 m.
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Velocity in x direction
Initial velocity in y direction
Answer: Vx= 86.6 m/s & Vy= 50 m/s
Explanation:
Vx= 100*cos30° = 86.6 m/s
Vy= 100*sin30° = 50 m/s
In the experiment, the pressure of the gas is 1.2 x10^5 Pa at a temperature of 25.0°C.
When the cylinder is heated, the pressure reaches 2.1x10 Pa. Calculate the
temperature of the gas (in "C) at this pressure.
The temperature of the gas (in °C) at this pressure is 248.5 °C
Temperature is a bodily quantity that expresses the hotness of count or radiation. There are 3 kinds of temperature scales. Temperature is the degree of hotness or coldness of an item.
Temperature is a degree of the common kinetic energy of the debris in an object. whilst the temperature increases, the motion of those particles also increases. Temperature is measured with a thermometer or calorimeter.
Given;
P₁ = 1.2 x10⁵ Pa = 1.18430792
T₁ = 25.0°C = 298 K
P₂ = 2.1x10 Pa = 0.000207253886
T₂ = ?
using ideal gas equaion:-
PV = nRT
P₁/T₁ = P₂/T₂
T₂ = P₂T₁ /P₁
= 2.1x10⁵ x 298 / 1.2 x10⁵
= 521.5 K
= 248.5 °C
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How might writing an online journal be different than writing in a paper one?
A. It's ok to talk badly about people in an
online journal.
O B. It's easier to communicate online.
O C. You should expect less privacy.
O D. You should expect more privacy.
Writing in an online journal is different from writing in a paper one in the following way: it is easier to communicate online (option B).
What is a journal?A journal is a newspaper or magazine dealing with a particular subject.
A journal is an efficient medium to communicate the findings or results of an investigation to the public.
However, a journal can be virtual (online) or paper (hard copy). In this 21st century, it is easier to communicate to the masses online because more audience will be captured.
Therefore, writing in an online journal is different from writing in a paper one in the following way: it is easier to communicate online.
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a certain ellipse has a semimajor axis with a length of 6.25 cm, and the
foci are 3 cms apart what is the eccentricity?
Answer:
1/2
Explanation:
Given
c=distance
a= length
e= c/a
3/6
e= 1/2 or 0.5
What is the relation between height and energy?
[Use g = 10 m/s2]A ball is shot into the air with initial speed of 20 m/s at an angle of 60°.(a) What is the object's speed at the highest point in its trajectory?___ m/s(b) What is the object's speed just before it strikes the ground?___ m/s
vi = 20 m/s
angle = 60°
g= 10 m/s^2
a.Speed at the highest point:
At the highest point, the ball's speed is entirely horizontal.
vx= v0 cos 60 = 20 cos 60 = 10 m/s
b.Speed before it strikes the ground:
It strikes the ground with the same speed that it leaves the ground:
20 m/s
3. A car has a mass of 1,000 kilograms. If a net force of 2,000 N is exerted on the car, what is its acceleration?
Answer:
2 m/s^2
Explanation:
Acceleration = Force/mass
= 2,000/1,000
= 2
in hydrogen, the transition from level 2 to level 1 has a rest wavelength of 121.6 nm . suppose you see this line at a wavelength of 120.8 nm in star a and at 121.3 nm in star b.
The speed of star A is 0.01×10⁸m/sec if wavelength from level2 to level1 is 121.6m.
The Doppler shift, otherwise called the Doppler impact, is characterized as the adjustment of the frequency or recurrence of the waves concerning the eyewitness who is moving comparative with the wave source. The Doppler shift was conjectured in the year 1842 by the Austrian physicist Christian Doppler.
The standard behind the alarm is that it begins at a higher pitch than its fixed pitch when it slides down from the eyewitness, and again when it retreats from the spectator, it go on at a lower pitch than its fixed pitch. It is utilized in crisis vehicles. Alarm's speed is given as
v=v₀cosθ
where θ is the point between the item's view and the forward speed.
We know that according to doppler-shift formula,
v/c=(λ-λ₀)λ₀
where v is the speed of star c is the speed of light in vacuum,λ is the wavelength of light wave in any other medium and λ₀ is the wavelength of light wave in vacuum.
We know that c=3×10⁸m/sec,v=?,λ=121.3m,λ₀=120.8m
On putting value,we get
=>v/3×10⁸m/sec=(121.3-120.8)/121.3
=>v/3×10⁸m/sec=0.5/121.3
=>v=(0.5/121.3) ×3×10⁸m/sec
=>v=0.0041×3×10⁸m/sec
=>v=0.01×10⁸m/sec.
Hence,speed of star is 0.01×10⁸m/sec.
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(Complete question) is:
In hydrogen, the transition from level 2 to level 1 has a rest wavelength of 121.6 . Suppose you see this line at a wavelength of 120.2 in Star A and at 121.2 in Star B. Calculate the speed of star A.
You have two windlasses (winches) named X and Y. Windlass X drum diameter is 50cm and windlass Y drum diameter is 75cm. Both are hoisting a 50kg weight. Which answer is correct?
You have two windlasses named X and Y. Windlass X drum diameter is 50cm and windlass Y drum diameter is 75cm. Both are hoisting a 50kg weight, Hence, X will lift faster and easier than Y
What is windlasses (winches) will lift faster?Generally, the equation for the Torque is mathematically given as
Torque(X)=weight x radius of drum
T=50x9.81x0.25
T=122.625 Nm
For, Torque (Y)
T=50x9.81x0.375
T=183.93 Nm
Generally, the equation for the Equation of Power is mathematically given as
P= Torque * Angular velocity
Angular velocity (w)= 2 x pi x N/60
As a consequence, torque has an inverse relationship to speed. Because of this, the torque will decrease as the speed rises.
According to the previous statement, windlass X has a speed of lift that is at its maximum, but windlass Y has a speed that is very low.
Additionally, power is exactly proportional to torque, which means that the highest possible torque required the highest possible amount of energy and vice versa.
Therefore, X should raise at the highest possible speed while using the least amount of energy.
In conclusion, X will lift faster and easier than Y
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in a hockey game, player A passes the puck to player B, who is standing on the blue line, as shown in the diagram. The puck travels distance d1=24.1m on its way to player B, making an angle = 52.5 degrees with the x axis. Player B then passes the puck so that it moves d2=7.9m on the blue line in the negative x direction. A) What is the magnitude of the total displacement in meters? B) What angle, in degrees, does the total displacement make with the x axis?
The magnitude of the total displacement is 20.28 m.
The angle of the total displacement with the x axis is 70.5⁰.
Total displacement
The total displacement of the player is calculated as follows.
Apply cosine rule as shown below;
d² = d₁² + d₂² - 2d₁d₂ cos(θ)
d² = (24.1)² + (7.9²) - (2 x 24.1 x 7.9) cos(52.5)
d² = 411.42
d = √411.42
d = 20.28 m
Angle of the displacement with horizontalApply sine rule as shown below;
d/sinD = d₂/sinD₂
20.28/sin(52.5) = 7.9/sinD₂
25.562 = 7.9/sinD₂
sinD₂ = 7.9/25.562
sinD₂ = 0.309
D₂ = sin⁻¹(0.309)
D₂ = 18⁰
angle with x axis = 18⁰ + θ
= 18⁰ + 52.5⁰
= 70.5⁰
Thus, the magnitude of the total displacement is 20.28 m.
The angle of the total displacement with the x axis is 70.5⁰.
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10 pennies, each with a mass of 3.11 grams, are heated to a temperature of 112 degrees celsius and then dropped into a beaker of water
containing 200 grams of water at 25 degrees celsius. To what temperature will the water heat up to?
C copper = 387 J/kg C
C water = 4186 J/kg C
A-26C
B-29C
C-33C
D-39C
Answer:
Explanation:a
ALWAYS use significant figure rules. Remember that these rules apply to all numbers that are measurements. In working this problem, assume the value of "g" to be 9.8 m/s2 with two (2) significant digits unless otherwise stated. One complete wave passes a putrefying pile of poached pickerel in 0.50 seconds. The piled pickerel protrude 20 cm along the beach. Calculate its velocity. _____ cm/s 5.0 20. 10. 40.
Answer: 40 cm/s.
Explanation:
To solve this problem, we need to use the formula for velocity, which is velocity = distance/time.
We are given the time it takes for one wave to pass the pile of pickerel as 0.50 seconds and the distance that the pickerel protrude along the beach as 20 cm. Plugging these values into the formula gives us:
velocity = distance/time
= 20 cm / 0.50 s
= 40 cm/s
Since we are given the value of g with two significant digits, we should round our answer to the nearest whole number, giving us 40 cm/s.
please help (science)
Plate Boundaries on Earth
Plate boundaries represent parts of the Earth where plates come in contact with one another. There are different ways in which these plates can move and interact. In this assignment, you will identify each type of plate movement and create an illustration to represent this.
Open the worksheet to get started. Use the criteria below to see what you should include in this assignment.
Row 1: Plate Boundary (Movement)
Write the type of plate boundary: convergent, divergent, transform.
Write the correct description for each in parentheses below the name: sliding, separating, or colliding.
Row 2: Diagram
Draw a diagram or illustration of the plate movement at the plate boundary. Include arrows to show whether the plates are colliding, separating, or dividing.
Row 3: Lithosphere (Created or Destroyed)
Identify whether the Earth's crust is created or destroyed at this type of plate boundary.
Row 4: Geologic Process
Give at least one example of the type of process or geological event that occurs on the Earth when the plates move in this manner.
Row 5: Real World Example
Give at least one example of a place on the planet where this type of plate movement is demonstrated along the plate boundary. Include both the location and name of the example.
Row 6: References
This assignment requires you to conduct formal research. When researching, make sure to use only valid and reliable resources; Wikipedia, blogs, and answer sites are not valid or reliable. References must be cited in APA format. Please provide your references in APA format in this column.
Plate Boundaries on Earth assignment involves identifying and illustrating different types of plate movements at the Earth's contact points.
Here are the steps to be followed:
Step 1: Understanding the Assignment Requirements
Read through the assignment instructions carefully to ensure a clear understanding of the tasks and expectations.
Step 2: Research
Start by conducting research on plate boundaries, their types, movements, and associated geological processes. Use reliable and valid resources such as scientific journals, textbooks, and reputable websites. Take notes on the different plate movements, their characteristics, and examples of each.
Step 3: Worksheet Setup
Create a table or chart with six rows corresponding to the six categories specified in the assignment instructions: Plate Boundary (Movement), Diagram, Lithosphere (Created or Destroyed), Geologic Process, Real World Example, and References.
Step 4: Fill in Row 1 - Plate Boundary (Movement)
In the first row, list the three types of plate boundaries: convergent, divergent, and transform. Next to each type, write the correct description in parentheses: sliding, separating, or colliding.
Step 5: Fill in Row 2 - Diagram
In the second row, draw a diagram or illustration for each type of plate movement. Use arrows to indicate the direction of movement and whether the plates are colliding, separating, or sliding past each other.
Step 6: Fill in Row 3 - Lithosphere (Created or Destroyed)
In the third row, identify whether the Earth's crust is created or destroyed at each type of plate boundary. Note the corresponding effects of plate movement on the lithosphere.
Step 7: Fill in Row 4 - Geologic Process
In the fourth row, provide at least one example of a geologic process or event that occurs as a result of plate movement at each type of boundary. This could include processes like subduction, seafloor spreading, or earthquakes.
Step 8: Fill in Row 5 - Real World Example
In the fifth row, give at least one real-world example of a location where each type of plate movement is demonstrated along a plate boundary. Include the name of the location and its corresponding plate boundary type.
Step 9: Fill in Row 6 - References
In the final row, provide the references for your research in APA format. Include the sources you used to gather information on plate boundaries, plate movements, and related geological processes.
Step 10: Review and Proofread
Review the completed assignment, ensuring that all information is accurate and properly cited. Proofread for any grammatical or spelling errors.
Note: The specific format and layout of the worksheet may vary based on your preference or instructor's instructions. Make sure to follow any specific formatting guidelines provided by your instructor.
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Compare the patterns of iron filings to the spiral arms in Interacting galaxies.
The primary locations for the birth of new stars are in galaxies' spiral arms. The proportion of the galaxy that can participate in star formation increases as more gas and dust become available.
What distinguishes the numerous varieties of spiral galaxies?We refer to some spiral galaxies as "barred spirals" because the centre bulge seems extended, like a bar. The spiral arms of the galaxy seem to emerge from the ends of the bar in barred spirals. Elliptical galaxies are round or oval in shape, as their name implies, and have a rather uniform distribution of stars.
The four spiral arms are what?The Norma and Cygnus arm, Sagittarius, Scutum-Crux, and Perseus arms are the four principal spiral arms of the Milky Way.
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Children start to gain control over their attention beginning in preschool. This control is related to a growth
spurt in the brain's lobe.
Answer:
occipital parietal
Explanation:
Hope this helps, plus I took the test
Two hot air balloons with the same mass and amount of helium put inside of them if one is a rigid material and the other expands which one would be the highest?
Answer:
One is that atmospheric pressure is dramatically reduced at high altitudes, so a helium balloon expands as it rises and eventually explodes. If you inflate a balloon beyond its limits at room temperature, it will break into small pieces up to about ten centimetres long
Explanation:
A bowling ball hits a single stationary pin at 59.1 m/s. The bowling ball and pin have masses of 41.7kg, and 4.17 kg, respectively. After the collision the bowling ball is moving at 48.35m/s. What is the velocity of the pin after the collision?
Two vehicles get into a head on collision. Consider the collision perfectly inelastic. Vehicle 1 has a mass of 51.3kg and a velocity of 50.1m/s. Vehicle 2 has a mass of 100kg and a velocity of 47.2m/ s. What is the velocity of the cars after they collide?
1) The velocity of the pin after the collision is 107.4 m/s.
2) The velocity of the two cars as the collision is inelastic is 48.2 m/s.
What is the velocity after collision?We know that by the principle of the conservation of linear momentum, the momentum before Collison is equal to the total momentum after collision. Now we have to use this principle in the both questions that we have here.
1) Given that;
Total momentum before collision = Total momentum after collision
(41.7 * 59.1) + (4.17 * 0) = (41.7 * 48.35) + ( 4.17 * v)
We then have;
2464 + 0 = 2016 + 4.17v
2464 - 2016 = 4.17v
v = 2464 - 2016 /4.17
v = 107.4 m/s
2) Given that;
Total momentum before collision = Total momentum after collision
(51.3 * 50.1) + (100 * 47.2) = (100 + 51.3)v
2570 + 4720 = 151.3v
v = 2570 + 4720/151.3
v = 48.2 m/s
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A motorcycle, travelling cast, starts from rest, moves in a straight line with a constant acceleration and covers a distance of 64 m in 4 s.Calculate a) Its acceleration b) Its final velocity c) At what time the motorcycle had covered half the total distance d) What distance the motorcycle had covered in half the total time.
The motorcycle had covered a distance of 16 meters in half the total time.
a) To calculate the acceleration, we can use the formula:
a = (v - u) / t
where a is the acceleration, v is the final velocity, u is the initial velocity (which is 0 since the motorcycle starts from rest), and t is the time.
Given:
u = 0 m/s (initial velocity)
v = ? (final velocity)
t = 4 s (time)
s = 64 m (distance)
Using the equation of motion:
s = ut + 1/2at^2
We can rearrange the equation to solve for acceleration:
a = 2s / t^2
a = 2(64) / (4)^2
a = 128 / 16
a = 8 m/s^2
Therefore, the acceleration of the motorcycle is 8 m/s^2.
b) To find the final velocity, we can use the formula:
v = u + at
v = 0 + (8)(4)
v = 32 m/s
Therefore, the final velocity of the motorcycle is 32 m/s.
c) To determine the time at which the motorcycle had covered half the total distance, we divide the total distance by 2 and use the formula:
s = ut + 1/2at^2
32 = 0 + 1/2(8)t^2
16 = 4t^2
t^2 = 4
t = 2 s
Therefore, the motorcycle had covered half the total distance at 2 seconds.
d) To calculate the distance covered in half the total time, we use the formula:
s = ut + 1/2at^2
s = 0 + 1/2(8)(2)^2
s = 0 + 1/2(8)(4)
s = 0 + 16
s = 16 m
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when a roller coaster gets to the bottom of a descent, describe the energy transfers and changes to energy stores that happen if:
a) the brakes are applied
b) it goes up and over a second hill
a) At the application of the brakes, there is a conversion of kinetic to potential energy.
b) When it climbs the second hill, the kinetic energy of the roller coaster is now converted to potential energy.
What is the conservation of energy?Let us recall that according to the principle of the conservation of energy, energy can neither be created nor destroyed but it can be transformed from one form to another. In the roller coaster, we can see the principle of energy transformation at work. This is one of the easiest ways that we could use to be able to describe the conservation of energy.
When a break has been applied in the roller coaster, there is a consversion of energy from kinetic energy to potential energy. Recall that the kinetic energy has to do with the energy that is in motion. This is converted to the potential energy of a stationary roller coaster.
Again when the roller coaster goes up a second hill, there is a change from kinetic to potential energy that the roller coaster would possess at the top of the hill.
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A girl with a mass of 32 kg is playing on a swing. There are three main forces
acting on her at any time: gravity, force due to centripetal acceleration, and
the tension in the swing's chain (ignore the effects of air resistance). At the
instant shown in the image below, she is at the bottom of the swing and is
traveling at a constant speed of 4 m/s. What is the tension in the swing's
chain at this time? (Recall that g = 9.8 m/s²)
Tension
Weight
A. 333.6 N
OB. 817.8 N
C. 562.8 N
D. 441.6 N
4 m/s
The tension in the swing's chain at the instant shown in the image is 441.6 N.
option D
What is the tension at bottom swing?At the bottom of the swing, the girl is traveling at a constant speed, so her acceleration is zero. Therefore, the net force acting on her is also zero.
Thus, we have:
0 = T - mg - mv²/r
where;
T is the tension in the swing's chain, m is the girl's mass, g is the acceleration due to gravity, v is her speed, and r is the radius of the swing.At the bottom of the swing, the radius is equal to the length of the chain, so we have:
r = L = 4.0 m
Substituting the values we have:
T = (32 kg)(9.8 m/s²) + (32 kg)(4 m/s)²/4.0 m
Solving for T, we get:
T = (32 kg)(9.8 m/s²) + (32 kg)(4 m/s)²/4.0 m
T = 441.6 N.
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Neither past failures nor past successes predict future outcomes, yet we often act on
the basis of
O distorted feedback
O obsolete information
O social expectations
O perfectionism
In most cases, the actions of people could be based on distorted feedback.
How do we see ourselves?We know that self perception and self concept is very important. In psychology, it is often very vital to deal with how a person sees himself as this could be the catalyst of the actions of the person. Let us also recall that people do not often act in isolation of the past. This is why some people are said to be the prisoners of the past. They can not just let go of their past failings and mistakes This could have a very bad impact on then future endeavors of such a person.
Let us put this in the context of our discussion. It is common perception that the past of a person could determine the current or future performances of a person. This is common in recruitment exercises.
This implies that when people tend to act, they tend to act based on distorted feedback.
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Calculate the force of gravity on the 0.90-kg mass if it were 6.4×106 m
above Earth's surface (that is, if it were two Earth radii from Earth's center).
Express your answer to two significant figures and include the appropriate units.
Answer:
Explanation:
Doubling the distance reduces the gravity force by four.
F = 0.90(9.8/4) = 2.205 = 2.2 N
could also use F = GmM/r²
F = 6.674e-11(0.90)(5.972e24) / (6.4e6 + 6.4e6 )² = 2.1894... = 2.2 N
The mass of the Moon is about 1/80th of the mass of Earth. The force exerted by Earth on the Moon is about 80 times thatexerted by the Moon on Earth.Select one:O TrueO False
According to Newton's Third Law of Motion, the force that object A exerts to object B has the same magnitude as the force that object B to object A, but in the opposite direction:
\(\vec{F}_{AB}=-\vec{F}_{BA}\)Then, the force exerted by Earth on the Moon has the same magnitude as the force exerted by the Moon on the Earth.
Therefore, the given statement is false.
Two beams of coherent light start out at the same point in phase and travel different paths to arrive at point P. If the maximum destructive interference is to occur at point P, the two beams must travel paths that differ by:_____
a. a whole number of half-wavelengths.
b. a whole number of wavelengths.
c. an odd number of half-wavelengths.
Answer:
(B) a whole number of wavelengths.
Explanation:
Two beams of coherent light start out at the same point in phase and travel different paths to arrive at point P. If the maximum destructive interference is to occur at point P, the two beams must travel paths that differ by a whole number of wavelengths.
When the resultant effect of the combination of two identical waves result in their annihilation or complete cancellation of the effect of each other, destructive interference takes place. Hence to have two wave sources producing waves that have the same frequency wavelength and amplitude and which are always in phase with each other or have a constant phase difference are said to be Coherent source
Which of these actions will increase friction? Select three options. scratching a surface to make it rougher polishing a surface to make it smoother increasing the size of a flying object adding extra weight to an object placing oil between two surfaces
Answer:
A, c, d
Explanation:
edge 2022
The actions which will increase friction such as scratching a surface to make it rougher, increasing the size of a flying object, and the adding extra weight to an object. Thus, the correct options are A, C, and D.
What is Friction?Friction is the force which is resisting the relative motion of two solid surfaces, fluid layers, and the material elements which are sliding against each other. There are several types of friction including dry friction, which is a force that opposes the relative lateral motion of two solid surfaces in contact.
The actions which will increase the friction include scratching a surface to make it rougher, increasing the size of a flying object, and the adding extra weight to an object.
Therefore, the correct options are A, C, and D.
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1) A thin converging lens of focal length 11.9 cm
forms an image of an object placed 27.7 cm
from the lens.
Find the image distance.
Answer in units of cm.
2) What is the magnification for an object dis-
tance of 27.7 cm?
3) Find the location of the image for an object
distance of 4.46 cm.
Answer in units of cm.
4) Calculate the magnification for an object dis-
tance of 4.46 cm.
Answer:
Explanation:
Focal length
f
=
10.8
c
m
Object distance
d
o
=
35.7
c
m
Part A:
The image distance would be
1
f
=
1
d
o
+
1
d
i
1
10.8
c
m
=
1
35.7
c
m
+
1
d
i
d
i
≈
15.5
c
m
Part B:
The magnification would be
m
=
−
d
i
d
o
=
−
15.5
c
m
35.7
c
m
≈
−
0.43
Part C:
The image distance if the object distance
d
o
=
5.59
c
m
, would be
1
f
=
1
d
o
+
1
d
i
1
10.8
c
m
=
1
5.59
c
m
+
1
d
i
d
i
≈
−
11.6
c
m
Part D:
Its magnification would be
m
=
−
d
i
d
o
=
−
−
11.6
c
m
5.59
c
m
≈
2.08
three equal charges each of charge q is placed at the vertex of an equilateral triangle.Find the force exerted on any of them due the others.Take the length of sides of triangle to be equal to 1
The net force on the top charge due to the other two charges is zero, and the charge will remain in equilibrium.
What is net electric force?
We can use Coulomb's law to calculate the force exerted by one charge on another. Coulomb's law states that the magnitude of the electrostatic force between two point charges is proportional to the product of their charges and inversely proportional to the square of the distance between them.
Mathematically, it can be expressed as:
F = (kq1q2)/r^2
where;
F is the magnitude of the electrostatic force, q1 and q2 are the charges of the two point charges, r is the distance between them, and k is Coulomb's constant.In this case, we have three charges of equal magnitude q placed at the vertices of an equilateral triangle of side length 1. We can calculate the distance between any two charges using the geometry of the equilateral triangle. The distance between any two adjacent charges is 1, and the distance between any two opposite charges is √3.
Let's consider the force exerted on one of the charges, say the one at the top of the triangle, due to the other two charges at the bottom left and bottom right vertices. The distance between the top and bottom left charges is 1, and the distance between the top and bottom right charges is also 1.
Therefore, the magnitude of the force exerted by the bottom left charge on the top charge is:
F1 = (kqq)/1^2 = k*q^2
Similarly, the magnitude of the force exerted by the bottom right charge on the top charge is also k*q^2. Since the two forces are acting in opposite directions along the same line, we can simply subtract them to find the net force:
F_net = F1 - F2 = kq^2 - kq^2
F_net = 0
Therefore, the net force on the top charge due to the other two charges is zero, and the charge will remain in equilibrium.
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Which of the following would require the greatest number of calories?
a. heating 1 g of water from 10°C to 80°C
b. heating 10 g of water from 10°C to 40°C
c. heating 100 g of water from 10°C to 20°C
d. heating 1000 g of water from 10°C to 12°C
Answer:
D
Explanation:
You are boiling more grams for more time because the more water the longer it takes which requires more calories to burn it.