Since the net force acts towards the right, the object would move towards the right and the acceleration would also be towards the right.
What is the net force?The term net force has to do with the actual force that acts on a body. We know that a force is a vector quantity and that a system of forces could act on an object.
When more than one force is acting on an object, it then follows that the object would remain at rest or in a state of uniform motion if the forces are balanced.
If the forces are not balanced, the object would move in the direction of the net force that acts on the body.
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a beam of electrons is fired into a region of uniform magnetic field with a speed of 89200 m/s. what uniform magnetic field strength, applied perpendicular to the direction of the beam, will deflect the beam into a circular arc with radius of 3.23 mm?
The strength of the magnetic field required, applied perpendicular to the direction of the beam, that will deflect the beam of electrons into a circular arc with radius of 3.23 mm is 0.157 x 10^-3 T.
Explain the motion of electrons in a uniform magnetic field.
Because magnetic force is always perpendicular to velocity, the charged particle is not affected by it. The kinetic energy and speed of the particle stay unchanged as a result. Motion's speed is unaffected, only its direction. Uniform circular motion frequently looks like this. The most straightforward scenario is when a charged particle moves perpendicular to a constant B-field. (If this happens in a vacuum, the magnetic field is what mostly controls the motion.) Here, the centripetal force is provided by the magnetic force (Lorentz force).
Cyclotron resonance is the word used to describe a particle moving in a circular pattern as a result of a constant magnetic field.
Equating the centripetal force and magnetic force we get,
r= mv/qB
we find
B= mv/er
where m is the mass of electrons
e is the charge of electrons
B = (9.11×10 ^−31 kg)(89200 m/s)/ (1.60×10 ^−19 C)( 3.23 x 10^-3 m)
= 157239.164 x 10^-9
= 0.157 x 10^-3 T
Hence, the strength of the magnetic field required to deflect the beam of electrons is 0.157 x 10^-3 T
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the springs of a 1800 kg car compress 4.6 mm when its 61 kg driver gets into the driver's seat.if the car goes over a bump, what will be the frequency of oscillations? ignore damping.
The frequency of oscillations is f = 7 Hz.
What is oscillation?Oscillations are the process of repeating fluctuations of a quantity or measure around its time equilibrium value. Oscillation can also be defined as the periodic fluctuation of matter between two values or about their average. Vibration is a predictable, repeated movement. A wave is a vibration going somewhere. There are three main types of vibration: free vibration, damped vibration and forced vibration. When an object vibrates at its own frequency, it is said to vibrate freely. Free vibration has a constant amplitude and period without any external force setting it up. An example is the vibration of a tuning fork.To learn more about oscillations from the given link :
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the average temperature over the past 1000 years has been about 15 ∘c . from the graphs, you can conclude that earth's average temperature during the past 800,000 years has __________.
The average temperature over the past 1000 years has been about 15∘c, from the graphs, you can conclude that the earth's average temperature during the past 800,000 years has varied between about 7∘C and 19∘C.
The earth’s average temperature record illustrates the variations in ocean and atmosphere temperatures throughout a range of historical periods. Since the end of the Pleistocene glacier, many estimations of temperature have been made, especially for the current Holocene epoch. Geologic data that dates back millions of years provides some temperature information. Ice core data, which is more recent, covers the time from 800,000 years ago to the present.
Paleoclimate research spans the time from 12,000 years ago to the present. The global temperature from 1,000–2,000 years ago till the present can be determined through observations taken from ice cores and tree rings. The most thorough records date back to 1850 when meticulous thermometer-based recordings first started.
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karen runs sets in basketball practice. she starts from a line, runs 2.0 m, returns to the line, runs 4.0 m, returns to the line, and runs 6.0 m. what is her distance and displacement?
The distance covered by karen is 18 meter and the displacement is 6 meters.
What is the difference between distance and displacement?
Distance : The path between any two points which is completely covered, length of such path is known as distance.
It is denoted by d.
There is no need of direction for calculating a distance.
It is a scalar quantity.
Displacement: the minimum path covered between any two points and is a direct length, such length is known as displacement.
It is denoted by s.
The direction is taken into consideration for calculating displacement.
It is a vector quantity.
As karen starts from a line, runs 2.0 m, returns to the line, runs 4.0 m, returns to the line, and runs 6.0 m. so her total distance = 2+2+4+4+6= 18 m
We added 2 and 4 two times because he started and returned to the same line.
Displacement= 6m as her final displacement – initial displacement= 6-0=6m
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An insulated beaker with negligible mass contains liquid water with a mass of 0.350 kg and a temperature of 78.3 ∘C. How much ice at a temperature of -24.2 ∘C must be dropped into the water so that the final temperature of the system will be 40.0 ∘C ?
Answer:
Explanation:
Given:
c₁ = 2100 J / (kg·°C)
c₂ = 4200 J / (kg·°C)
λ₁ = 3.4·10⁵ J / kg -
t₁ = -24.2°C
t₀ = 0°C
t₂ = 78.3°C
t = 40.0°C
m₂ = 0.350 kg
___________
m₁ - ?
Ice is heated to 0°C:
Q₁ = c₁·m₁·(t₀ - t₁) = 2100·m₁·(0 - (-24.2)) = 50 820·m₁ J
The ice is melting:
Q₂ = λ·m₁ = 340 000·m₁ J
Cold water is heated:
Q₃ = c₂·m₁·(t - t₀) = 4200·(40.0 - 0)·m₁ = 168 000 J
Hot water is cooling down:
Q₄ = c₂·m₂·(t₂ - t) = 4200·0,350·(78.3 - 40.0) = 56 300 J
Thermal badance equation:
Q₁ + Q₂ + Q₃ = Q₄
m₁·(50820 + 340 000 + 168 000) = 56 300
m₁·(3 620 000) = 56 300
Mass of ice:
m₁ = 56 300 / 3 620 000 ≈ 0,016 kg or 16 g
Do objects with the same velocity experience more force when stopping or when changing direction
Yes, the objects with the same velocity and mass experience more force when stopping or when changing direction.
Which type of object is easier to stop or move?Heavier objects that have more mass are more difficult to move and stop as compared to other objects. Heavier objects have greater mass and resist more change as compared to lighter objects. For example, Pushing a bicycle or stopping them once moving. The objects having more mass, it is harder to start or stop.
The momentum of a moving object increases with the increase of mass and its speed. The heavier object moves faster and has greater momentum and it the harder to stop it. For example, if a truck and a car are traveling at the same speed, more force is needed to stop the truck because its greater mass provides more momentum.
So we can conclude that the bodies with the same velocity experience more force while stopping.
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if the net torque on an object is positive, in which direction does the object begin to rotate?
A related right-hand rule relates the rotational direction to the torque direction. Your fingers will curl in the rotational direction if you point your thumb in the direction of the torque.
Positive torques cause counterclockwise rotation while negative torques cause clockwise rotation. Because T1 is smaller than T2, the net torque would point in a clockwise direction. The system would start to accelerate clockwise if it were initially at rest. The torques in Example 2 are not in equilibrium because there is a net torque. The rotational equivalent of force is torque. So an object will rotate with an angular acceleration in response to a net torque.
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In lab we applied the conservation of energy to a system to allow us to equate the initial energy to the final energy. How does the initial energy become stored in the system?.
Option C. At some height when the pendulum is displaced by some angle the total initial energy will be concerned with potential energy due to work by gravity against the displacement.
Potential energy is the energy held with the aid of an item because of its role relative to different objects, stresses within itself, its electric price, or other elements.
Potential energy saved energy that relies upon the relative role of diverse elements of a device. A spring has greater potential power whilst it is compressed or stretched. A metal ball has extra capability power raised above the floor than it has after falling to Earth.
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Disclaimer:- your question is incomplete, please see below for the complete question.
In the lab, we applied the conservation of energy to a system to allow us to equate the initial energy to the final energy. How does the initial energy become stored in the system?
A. The energy is supplied by the tension in the string
B. The energy is part of mass
C. The force of gravity does work when it is displaced some height when the pendulum is displaced by some angle theta
D. I did work on the mass by displacing it some height when I displaced the pendulum by some angle theta.
a mass of 175g is placed on the end of a spring of unknown spring constant. the spring is stretched beyond equilibrium and released. the time to complete one oscillation (1 period) is .725s. what is the spring constant? group of answer choices 13n/m 2n/m -13n/m 128n/m -128n/m
The spring constant is 13 N/m
What is the spring constant?
Simple harmonic motions as well as Hooke's law are related to the definition of the spring constant. Therefore, we must first examine Hooke's law before attempting to define the spring constant as well as comprehend how it functions. As long as the applied load is below the elastic limit, a spring will naturally extend in proportion to the applied load, according to the theory of elasticity. We now understand that when an object is subjected to force, it tends to deform in some way. Consider a spring. Because springs are elastic, they will be compressed when we apply force to one side of the spring. The spring now expands to its original size by applying force in the opposite direction of the applied force.
T= 2*pi sqrt (m/K)
0.725=2*pi*sqrt (0.175/K)
K=13 N/m
Hence the spring constant is 13N/m
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James is working with the lac operon of Escherichia coli (E. coli). He places the bacteria on a plate of growth media.
The lac Operon of E. coli is shown.
Based on the current understanding of this operon, which hypothesis would be useful for James to test?
Addition of allolactose (inducer) to the bacterial growth media should increase the speed at which the bacteria metabolize the sugar lactose.
Removal of the RNA polymerase molecule should increase the amount of bacterial growth on the plate.
Decreasing the amount of allolactose (inducer) in the bacterial growth media should increase the rate of bacterial growth.
Increasing the rate at which RNA polymerase acts will inhibit bacterial growth.
Based on the current understanding of this operon, James might find it useful to test the idea that adding all lactose to the media for bacterial growth will hasten the rate at which the bacteria break down lactose. So, choosing one is the right one.
When expressed, the lac operon is a group of genes that creates the machinery for lactose metabolism. However, it chooses to use glucose as its sugar by metabolizing it. As a result, the cell does not need to develop this machinery while glucose is accessible because it won't use it. Instead, it will metabolize the glucose. However, the E. coli must be able to absorb this lactose when we add it in place of glucose, or else it won't be able to develop using the added energy source. So, we have a few different circumstances. We do not want to express the lac operon when glucose but not lactose is present. We do want to express the lac operon when glucose is removed and lactose is added, though.
Thus, we can conclude that adding allolactose to the bacterial growth medium should speed up how quickly the bacteria break down lactose.
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Answer: Its A Addition of allolactose (inducer) to the bacterial growth media should increase the speed at which the bacteria metabolize the sugar lactose.
Explanation: yes
You work for the city recreation department, which is hosting a 5 kilometer run/walk next week. Your coworker measured the course and found that it is only 4. 75 kilometers long. He asks you to move the finish line forward 0. 25 kilometers. Your tape measure is marked in feet and inches. What is the distance he has asked you to move the finish line, to the nearest foot?.
Answer:
820 feet
Explanation:
.25 km = 820 feet
can kinetic energy ever be negative? give a plausible reason for your answer without making use of any equations. match the words in the left column to the appropriate blanks in the sentences on the right.
Using the concepts of momentum, we got that kinetic energy never be negative. The reason behind my possible answer is -It is always greater than or equal to zero. The kinetic energy of a moving object is equals one-half product of its mass and the square of its velocity. Since the mass of the object can never be zero, the square of velocity makes the answer positive.
Kinetic Energy (Key Points)
The energy possessed by body due to its motion.The S.I. unit is joule (kg.m2/sec2).It is directly proportional to the velocity of the object squared. This means that when the velocity of object doubles, its K.E becomes 4 times.When K.E is directly proportional to the mass of the moving object, when the mass of object doubles, then K.E also gets doubled.A scalar quantity is completely described by the magnitude alone.Hence, kinetic energy never be negative, the possible reason for my answer is that- The kinetic energy of the moving object equals one-half product of its mass and the square of its velocity. Since the mass of the object can never be zero, the square of velocity makes the answer positive.
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(Complete question) is:
can kinetic energy ever be negative? give a possible reason for your answer without making use of any equations.
question 27 a student slides her 80.0-kg desk across the level floor of her dormitory room a distance 4.00 m at constant speed. if the coefficient of kinetic friction between the desk and the floor is 0.400, how much work did she do?
The work done by the student in moving the desk of mass 80 kg is 1,216J
The mass of the desk = 80 kg
The distance of the desk moved by the student = 4 meter
The coefficient of kinetic friction = 0.4
The work done by the student can be found using the formula,
W = F x d
where W is the work done by the student
F is the frictional force
d is the distance moved
Let us find the frictional force first
F = μmg cosθ
where μ is the coefficient of friction
m is the mass of the object
F = 0.4 x 80 x 9.8 x cos 0
= 304 N
Then, the work done is
W = 304 x 4
= 1,216 J
Therefore, the work done is 1,216 J
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A satellite with a mass of 718 kg is placed at an altitude of 1342
km above the surface of Triton. What is the strength of the
gravitational force on the satellite?
646 N is the strength of the gravitational force on the satellite
F=GmM/r²
satellite mass= 718 kg
mass of triton=1.35x10*23 kg
r= 352500m
F=GmM/r²
F=6.67×10^-11×718 kg×1.35x10*23 kg ÷(352500m)²
F=646 N
The gravitational subject has course, much as other electromagnetic fields just like the electric powered and magnetic fields. it's far a vector subject as a end result. The gravitational discipline power, which has the unit Newtons consistent with kilogram, is used to degree the gravitational discipline. This area force has a endless range and is constantly attracting.
The electromagnetic area, or the electrical and magnetic fields for charged debris and magnets, is comparable to the gravitational discipline. due to the fact electromagnetic discipline forces are stronger than gravitational field forces, they take priority over them.
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Each sentence describes an interaction between two of Earth’s spheres. Match each sentence with the spheres that are interacting.
geosphere and hydrosphere
hydrosphere and biosphere
biosphere and atmosphere
atmosphere and geosphere
Grady swims in the ocean.
arrowRight
Lena takes a deep breath.
arrowRight
Water vapor condenses on a glass.
arrowRight
Gusty winds weather sandstone in the desert.
sentence describes an interaction between two of Earth’s spheres are given below
Geosphere and hydrosphere - water vapor condenses on a glass.
Hydrosphere and biosphere - Grady swims in the ocean.
Biosphere and atmosphere - Lena takes a deep breath
Atmosphere and geosphere - gusty winds weather sandstone in the desert.
Geosphere refers to the solid portion of the Earth, therefore rocks, land, and the like would be included. Water is a component of the hydrosphere, as indicated by the word hydro, which means water. The atmosphere comprises the winds and the air that surrounds us. The term "biosphere" describes the biotic elements. We consider living things since the word "bio" signifies "life." All those spheres now interact with one another, and it is because of these interactions that our universe is created and how life on Earth can coexist. Grady is a living creature, and the ocean is composed of water, as can be shown by comparing the characteristics of each sphere.
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As the text cites, atoms are incredibly tiny, numerous, perpetually moving, and what else?.
As the text cites, atoms are incredibly tiny, numerous, perpetually moving, and Ageless.
An atom consists of a nucleus and one or extra electrons bound to the nucleus. The nucleus is made from one or more protons and a number of neutrons. best the maximum common form of hydrogen has no neutrons. An atom is the smallest unit of everyday relied on that forms a chemical element.
An atom is a particle of being counted that uniquely defines a chemical element. An atom consists of an important nucleus that is surrounded by means of one or extra negatively charged electrons. The nucleus is undoubtedly charged and incorporates one or extra particularly heavy particles called protons and neutrons.
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A driver is going 25 m/s down the road when they spot a deer jump out in front of them. It takes them 0.75 seconds to react and apply the brakes. The brakes provide an acceleration of -8 m/s/s. How far do they travel before coming to a stop from the moment they saw the deer? (round your answer to the nearest whole meter)
They travel 16.5 m distance before coming to a stop from the moment they saw the deer.
Distance measures the length between objects or points without regard for direction. Distance is a scalar quantity.
We can define it as to how much ground an object has covered despite its starting or ending point.
Velocity = 25 m/s
Time = 0.75 sec
acceleration (a) = -8 m/s^2
As we know the distance formula,
s = ut + 1/2 at^2
=25×0.75 + 1/2 × (-8)×0.75×0.75
=18.75 - 2.25
=16.5
Hence, total distance travel by them is 16.5 m.
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Now our wavelength is getting longer because the waves are stretching out. This make the _________ lower as well as the pitch we hear.
Now our wavelength is getting longer because the waves are stretching out. This makes the 1. Frequency is lower as well as the pitch we hear.
Wavelength is the gap among equal factors (adjacent crests) in the adjacent cycles of a waveform sign propagated in the area or alongside a twine. In wi-fi systems, this duration is generally laid out in meters (m), centimeters (cm), or millimeters (mm).
Equation of the wavelength, we will tell that the wavelength of a wave is inversely proportional to its frequency, i.e., because the frequency of a wave increases, its wavelength decreases.
A better-frequency sound has a better pitch, and a decreased-frequency sound has a lower pitch. In discern 10.2 sound A has a better pitch than sound B. for example, the chirp of a bird would have an excessive pitch, but the roar of a lion could have a low pitch. The human ear can discover a huge variety of frequencies.
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Disclaimer:- your question is incomplete, please see below for the complete question.
Now our wavelength is getting longer because the waves are stretching out. This makes the _________ lower as well as the pitch we hear.
1. Frequency
2. Loudness
3. Amplitude
based on the results of the curve fit, what is the relationship between the magnetic field strength and the distance from the magnet?
The sphere energy decreases as the distance from the source increases.
A magnetic field is a vector subject that describes the magnetic effect on transferring electric charges, electric currents, and magnetic materials. A moving charge in a magnetic field story a force perpendicular to its very own pace and to the magnetic discipline.
The magnetic area is a area around a magnetic cloth or a moving electric powered rate inside which the pressure of magnetism acts. A magnetic subject is a force discipline that is created via transferring electric prices and magnetic dipoles and exerts a pressure on different close by shifting prices and magnetic dipoles.
Magnetic fild, a vector area of a magnet, electric current, or converting electric discipline, wherein magnetic forces are observable.
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For a certain spring, k = 15n/m. A mass is hung from the spring, stretching it from 0. 3m to 0. 4m. What force did the weight produce?.
The force produced by the weight as it stretches the spring from 0.3 m to 0.4 m is 1.5 N
F = k x
F = Force
k = Stiffness
x = Displacement
x1 = 0.3 m
x2 = 0.4 m
x = x2 - x1
x = 0.4 - 0.3
x = 0.1 m
k = 15 N / m
F = 15 * 0.1
F = 1.5 N
Therefore, the force produced by the weight is 1.5 N
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4.) A car with mass 1352 kg is being towed across the parking lot by a tow truck using a horizontal cable with a force of 7820 N. The coefficient of kinetic friction between the car tires and pavement is 0.56. Determine whether a net force is acting on the car and if so, at what rate is the car accelerating across the parking lot?
From the calculation, there is a net force that acts on the car and then the acceleration that is produced by the net force is 0.296 m/s^2.
What is the net force?The term net force refers to the force that is acting on an object that makes it to move. We have to recall that the force of friction is the force the limits the motion of an object. In other words, it is the force of friction that makes a body not to be able to move and this must be overcome by the forward force when it is greater than the friction force.
Now;
Mass of the car = 1352 kg
Forward force = 7820 N
Coefficient of friction = 0.56
Frictional force = μmg
= 0.56 * 1352 kg * 9.8 m/s^2
= 7419.8 N
Net force = Forward force - Frictional force
= 7820 N - 7419.8 N
= 400.2 N
Then;
Net force = ma
m = mass
a = acceleration
a = Net force/m
a = 400.2 N/ 1352 kg
a = 0.296 m/s^2
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A 1,100 kg car is traveling at 20 m/s as it begins going down a 40 m hill. What is its total mechanical energy?.
The calculated energy is 200000 J. An item in motion has energy, which is called kinetic energy.
Motion in space you walk down the street, and the rotation of the planet around the sun are all examples of kinetic energy. is inversely proportional to the square of the object's velocity and its mass: K.E. = 1/2 m v2. Motion is created by kinetic energy. Any moving item uses kinetic energy, such as a person walking, a baseball being thrown, a piece of food falling from a table, or a charged particle in an electric field.
Energy Kinetic =.5 (m.v.v)
In this issue,
mass (m) = 1000 kg
The speed is 20 m/s.
So,
0.5 (1000 20 20 20) = 200000 J is the total kinetic energy.
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in part c, how would the effects differ if you connected the galvanometer to the primary coil and the battery/switch to the secondary? write out your answer in a clear and well supported paragraph.
Using the theories of voltage, we got that ratio of N₂ / N₁ become 13.3 if we connect the galvanometer to the primary coil and the battery/switch to the secondary.
A transformer is the device that changes the voltage in the primary, causing a voltage to be induced in the secondary. The expression for this voltage ratio is given by
ΔV₂ = N₂ /N₁ ΔV₁
where N is the number of windings on each side of the coil and V2 and V1 are the voltages in the secondary and primary coil, respectively.
According to question the primary voltage in this instance is 9.0 V and the secondary voltage is 120 V.
ΔV₂ /ΔV₁ = N₂ / N₁
N₂ / N₁ = 120/9
N₂ / N₁ = 13.3
Hence, if we connect the galvanometer to the primary coil and the battery/switch to the secondary, then the ratio of N₂ / N₁ become 13.3
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(Complete question) is:
A 9.0-V battery (with nonzero resistance) and switch are connected in series across the primary coil of a transformer. The secondary coil is connected to a light bulb that operates on the 120 V. a)Determine the ratio of the secondary to primary turns needed for the bell's transformer. b)Determine the ratio of the secondary to primary turns needed for the bells transformer. Ns/Np=?c), In final part how would the effects differ if you connected the galvanometer to the primary coil and the battery/switch to the secondary? write out your answer in a clear and well supported paragraph.
Tom chases Jerry across a 1 m high table. Jerry steps out of the way and Tom slides off the table and strikes the floor 2.2 m from the edge of the table. When Tom slid off the table, what was his horizontal speed?
The horizontal speed of Tom when it slid off the table is 4.89 m/s.
What is the time of motion of Tom?
The time of motion of Tom is the time taken for Tom to fall from the top of he table to ground level.
It can also be described as time spent in air by Tom.
h = ut + ¹/₂gt²
where;
u is the initial vertical velocity of Tom = 0t is the time of motion of Tomg is acceleration due to gravityh = 0 + ¹/₂gt²
h = ¹/₂gt²
t = √(2h/g)
t = √(2 x 1 / 9.8)
t = 0.45 s
The horizontal speed of Tom when it slid off the table is calculated as;
v = x/t
where;
x is the horizontal distancet is the time of motionv = (2.2 m) / (0.45 s)
v = 4.89 m/s
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why does one part of the earth experince summmer while another part experince winter
Answer:
''The combination of Earth's tilted axis and its revolution causes the atmosphere to be unequally heated by the sun.'' - jordanmiya23
Explanation:
this has been answered before
several groups of students used the same procedure to measure the density of a specific object. the 15 different results are listed below in units of g/cm3. at a 95% confidence interval, give an estimation of the amount of random error present in any single result of this procedure.
An estimation of the amount of random error is + 1.08 g/cm³.
An error is taken into consideration randomly if the value of what's being measured every now and then goes up or once in a while goes down. a completely simple example is our blood pressure. although someone is wholesome, it is regular that their blood stress does now not continue to be exactly equal whenever it is measured.
Random errors are likewise referred to as variability, random version, or 'noise inside the device'. The heterogeneity within the human population results in exceedingly huge random variations in scientific trials. Systematic mistakes or bias refers to deviations that are not because of the threat alone.
Given data,
the mean value
Here, X = Σsum of all values/number of values
And, error = measured value - X
∴ error in the first result will be Δx = 15830 - 14,75
= + 1.08 g/cm³
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Disclaimer:- your question is incomplete, please see below for the complete question.
several groups of students used the same procedure to measure the density of a specific object. the 15 different results are listed below in units of g/cm3. at a 95% confidence interval, give an estimation of the amount of random error present in any single result of this procedure.
15.830
15.700
14.112
12.783
15.586
14.723
14.526
14.524
14.805
17.985
16.186
13.925
12.553
14.175
13.837
suppose you float a large ice-cube in a glass of water, and that after you place the ice in the glass the level of the water is at the very brim. when the ice melts, the level of the water in the glass will:
The floating substance will displaces some liquid and so when the ice melts ,there will be no change in the water level as the melted ice will occupy the same volume as it was occupying earlier.
What is Archimedes’ law of buoyancy?
Archimedes’ principle can be defined as any body when completely or partially submerged in a fluid (gas or liquid) at rest is acted upon by an upward force. It is usually equal to the weight of the fluid displaced by the body.
Apparent weight= Weight of object (in the air) – Thrust force (buoyancy)
It is used in the design of ships and submarines. Hydrometers are based on the principle of Archimedes.
Applications of Archimedes’ principle
Submarine:Hot-air balloonHydrometerThe above case works on Archimedes principle leading to no change in water level.
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carol lifts a 1000 n barbell 1.5 m in 1.0 s while sam lifts a 1400 n barbell 2.0 m in 2 s whose lift was more powerful?
Carol Bill had a stronger lift than Bob (1400 N x 2.0 m / 2.0 s = 1400 W vs. 1000 N x 1.5 m / 1.0 s (= 1500 W).
Why do they go by the name Bills?The All-America Football Association (AAFC) team from Buffalo that bore the same moniker as the western frontiersman Buffalo Bill is whence the Bills got their name. The Bills have been the only NFL club that holds home games in Western New York and draw a sizable portion of their fan base from there.
What does "bill" mean in English?William's short form (hypocorism), Bill, is a male given name that is typically used for boys. It can also be used as an English translation of the common Greek name Vasilis and Vasileios (Basil), particularly among Greek immigrants in Language nations, perhaps as a result of the similarity in pronunciation.
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24.10 a parallel plate capacitor has plates with an area of 0.047 m2 . two slices of dielectric material are available for separating the plates. one slice has a thickness 0.0025 mm, a dielectric constant of 6.2, and a breakdown field strength of 7.15 x 106 v/m. the second slice has a thickness of .0085 mm, a dielectric constant of 10.7, and a breakdown field strength of 3.15 x 106 v/m. a) calculate the capacitance of each possible choice. which slice would produce a greater capacitance? b) what is the maximum working voltage for each capacitor? c) what is the capacitance if both slices of dielectric material are placed between the plates?
1.55 x 10⁻⁶ F is the capacitance if both slices of dielectric material are placed between the plates.
What is dielectric constant?An indicator of a substance or material's capacity to store electrical energy is its dielectric constant. It is a measurement of how much an object can hold or concentrate an electric flux. Dielectric constant is defined mathematically as the ratio of a material's permittivity to the permittivity of free space.
For one slice, we have
thickness, d₁ = 0.0025 x 10⁻³ m
dielectric constant, k₁ = 6.2
breakdown field strength, E₁ = 7.15 x 10⁶ V/m
For second slice, we have
thickness, d₂ = 0.0085 x 10⁻³ m
dielectric constant, k₂ = 10.7
breakdown field strength, E₂ = 3.15 x 10⁶ V/m
(a) The capacitance of each possible choice which is given as :
For one slice ; C₁ = k₁o A/d₁ = (6.2) (8.85 x 10⁻¹² C²/Nm²) (0.047 m²) / (0.0025 x 10⁻³ m)
C₁ = 1031.5 x 10⁹ F
C₁ = 1.03 x 10⁻⁶ F
For second slice; C₂ = k₂0 A / d₂ = (10.7) (8.85 x 10-12 C²/Nm²) (0.047 m²) / (0.0085 x 10⁻³m)
C₂ = 523.6 x 10⁻⁹ F
C₂ = 5.23 x 10⁻⁷ F
{one slice will have a greater capacitance than second slice }
(b) The maximum working voltage for each capacitor is given as :
For one slice; E₁ = V₁ /d₁⇒ (7.15 x 10⁶ V/m) = V₁ / (0.0025 x 10⁻³ m)
V₁ = 17.8 V
For second slice; E₂ = V₂/d₂ (3.15 x 10⁶ V/m) = V₂ / (0.0085 x 10⁻³ m)
V₂ = 26.7 V
If both slices of dielectric material are placed b/w the plates, then the capacitance will be
given as:
Ctotal = C₁ + C₂ = [(1.03 x 10⁶ F) + (5.23 x 10⁻⁷ F)]
Ctotal = 1.55 x 10⁻⁷ F
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two sturdy poles are positioned 7.5 m apart. a 0.35 kg cord is stretched between the poles. when one pole is struck by a hammer, a transverse wave travels down the cord and reaches the other pole in 0.78 s. what is the tension in the cord?
The tension in the cord is 4.318 N.
What is a tension?
In physics, tension is defined as the pulling force that is transmitted axially by a string, rope, chain, or similar object, or by each end of a rod, truss member, or other comparable three-dimensional object. Tension can also be defined as the action-reaction pair of forces acting at each end of the aforementioned elements. The polar opposite of compression might be tension. The International System of Units (SI) uses newtons to measure tension as a transmitted force, an action-reaction pair of forces, or a restoring force (or pounds-force in Imperial units).
V= distance/ time
7.5/0.78= 9.62 m/s
T= v^2 m/ l
= (9.62)2 0.35/ 7.5
= 32.39054/ 7.5
= 4.318N
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