It will take 4.24 hours for a sample of titanium-45 to decay from 65. 0 grams to 25. 0 grams.
Half life of first order reaction is given by: [tex]t_{1/2}[/tex] = 0.693/k
Given half life is 3.08 hours.
So k = 0.225
Rate of first order reaction is given by: [tex]kt = 2.303 * log(R'/R)[/tex]
Where k = rate of reaction = 0.225
t= time taken
R' = final amount = 25g
R = initial amount =65g
Putting these values we get t=4.24 hours.
So it will take 4.24 hours for a sample of titanium-45 to decay from 65. 0 grams to 25. 0 grams.
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a diverging lens has a focal length of magnitude 20.0 cm. (a) locate the images for object distances of (i) 40.0 cm, (ii) 20.0 cm, and (iii) 10.0 cm. for each case, state whether the image is (b) real or virtual and (c) upright or inverted. (d) for each case, find the magnification.
It is only necessary to know the direction of two of the three rays in order to graphically depict the formation of an image in a thin lens with virtual image.
(i) The one that strikes the lens perpendicular to the optical axis of the lens is one of them. When this is refracted in the lens, the image focus will not be affected. Its trajectory won't be altered by this.
(ii) The third and final one is the one that crosses the object focus (or its extension does), which, following refraction, will move in a direction parallel to the optical axis of the lens.
Accordingly, depending on how an object or body is positioned in relation to the lens, one type of image will generally be formed in the lenses. The image will always be virtual, smaller than the body, and to the right in divergent lenses.
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a sample of an ideal monatomic gas is confined in a rigid 0.008 m3 container. if 40 joules of heat energy were added to the sample, how much would the pressure increase? 5 pa 320 pa 1,600 pa 3,333 pa 5000 pa
If a sample of an ideal monatomic gas is confined in a rigid 0.008 m3 container. if 40 joules of heat energy were added to the sample, how much would the pressure increase by 3,333 Pa only.
Correct option is (D) i.e., 3,333 Pa
At constant volume
∆U = Q = 3/2nR∆T
where in an isochoric process
nR∆T = ∆pV
so Q = 3/2 ∆pV
or
∆p = 2 × +40J/3 × 0.008 m3.
"monatomic" is a combination of the words "mono" and "atomic", and means "single atom". It is usually applied to gases: a monatomic gas is a gas in which atoms are not bound to each other.
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what is the magnitude of the net electric field at the origin produced by this distribution of charge? express your answer in terms of the variables q , a , and constant k .
The magnitude of the net electric field at the origin is kq/a².
What is magnitude?
The magnitude as well as size of a statistical model determines whether it is bigger or smaller than some other objects of the same type in mathematics. Formally speaking, the magnitude of an object is the result of the group of objects it belongs to being ordered (or ranked) and displayed. Magnitude in physics can be interpreted as either a quantity or a distance.
The magnitude of the net electric field at the origin produced by this distribution of charge is given by the equation E = kq/a², where k is a constant, q is the charge, and a is the distance between the origin and the charge. Thus, the magnitude of the net electric field at the origin is kq/a².
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if the volume of gasoline vapor and air in an automobile engine cylinder is reduced to 1/11 of its original volume before ignition, by what factor does the pressure in the cylinder increase? (assume there is no change in temperature.)
If the amount of air and gasoline vapor in an automotive engines cylinder is only 1/11 of what it was prior to ignition. The volume inside the cylinder rises by 11, factor.
What does the word "ignition" mean?the method or mechanism of sparking a fuel mixture, such as an electric spark. additionally: an electrical device used to turn the key in an ignition system (such in a car). The ignition system's main function is to produce an electric spark.
Which four types of ignition systems are there?The majority of vehicles and trucks employ one of four different ignition systems today: coil-on-plug ignition switches, high energy (digital) ignitions, distribution company (waste spark) ignitions, and traditional breaker-point ignitions.
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1.85 m tall person stands 8.50 m in front of a large, concave spherical mirror having a radius of curvature of 4.00 m. Determine the mirror's focal length, image distance, and magnification.
The mirror's magnification is -0.307, which indicates that the image is inverted, and its focal length is 2.0 m. The picture's separation from the mirror is 2.61 m.
Mirror radius: R = 4.0 meter's
Mirror's focal length is equal to
focal length = R/2,
focal length = 4.0/2 m, and f = 2.0 m.
The man is 1.85 meter's tall.
Do = 8.5 meter's separates the subject from the mirror.
The distance between the picture and the mirror is di
1/di = 1/2.0-1/8.51
di = 1/0.382
di = 2.61m.
The picture is produced on the same side of the mirror as the item because the image distance is positive, hence the image will be accurate.
The magnification is negative thus the picture created is inverted.
magnification = -di/do = - 2.61/8.5 = -0.307.
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for a metal that has an electrical conductivity of 6.1 × 107 (ω·m)−1, what is the resistance of a wire that is 4.3 mm in diameter and 8.1 m long?
The resistance of the wire with a diameter of 4.3 mm and a length of 8.1 m is 9.14*10⁻³ Ω
What is an illustration of resistance?Resistance is defined as a refusal to give up to something that prevents or slows down anything. A child fighting her abductor is an example of resistance. An example of resistance is the wind pushing up against an airplane's wings.
Briefing:We can calculate the resistance as follows:
R = 1/σ . L / A, where:
l is the wire's length, σ is the electrical conductivity, and A is its cross-section (assumed circular).
By modifying the values, we may determine R as follows:
R = 1/6.1. 10⁷ (Ω.m) . 8.1 m. / π (0.0043)² m / 4
= 9.14 . 10⁻³ Ω
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The complete question is-
For a metal that has an electrical conductivity of 6.1 × 10⁷ (Ω∙m)⁻¹, what is the resistance of a wire that is 4.3 mm in diameter and 8.1 m long?
(A) 3.93 × 10⁻⁵ Ω
(B) 2.29 × 10⁻³ Ω
(C) 9.14 × 10⁻³ Ω
(D) 1.46 × 10¹¹ Ω
three pendulums all have the same arm length, and they all start their downward swings from the same height. the first pendulum has a mass of 67 g. the second pendulum has a mass of 1.5 kg. the final pendulum has a mass of 3.3 kg. assuming that the effects of air drag are negligible, which pendulum attains the highest speed?
All three pendulums will reach the same maximum velocity, according to the question.
What is pendulum energy?The pendulum will start swinging as the weighted end is removed since gravity will drag it downward. Kinetic energy, the force a moving item exerts, is created from potential energy. At its lowest, so when mass is traveling the quickest, an active pendulum possesses the highest kinetic energy.
Briefing:From conservation of energy;
Energy at A = Energy at B
[tex]\frac{1}{2} mv^{2}[/tex] = mg[tex]H_{max}[/tex]
[tex]H_{max}[/tex] = [tex]\frac{v^{2} }{2g}[/tex]
[tex]H_{max}[/tex] = Independent of mass
So, all pendulum will attain the highest speed.
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A friend asks you how much pressure is in your car tires. You know that the tire manufacturer recommends 30 psi, but it’s been a while since you’ve checked. You can’t find a tire gauge in the car, but you just finished taking physics and so you tell your friend, "I don’t know, but I can figure it out." From the owner’s manual you find that the car’s mass is 1700 kg . It It seems reasonable to assume that each tire supports one-fourth of the weight. Using a ruler, you find that the tires are 16 cm wide and the flattened bottom segment of the tire is 15 cm long. Your observation of the tire tread pattern suggests that two-thirds of this segment is in actual contact with the road.What answer—in psi—will you give your friend?
Each tire is under 27 psi pound of pressure.
The weight is defined by the product of the mass and acceleration due to gravity, and is given by the following relation:
w=mg
Here, w is the weight, m is the mass, and g is the acceleration due to gravity.
The pressure is defined by the ration of force and the area of the surface, and is given by the following relation:
P=F/A
Here, P is the pressure, F is the force, and A is the area
Pressure on the tires is calculated from force acting on each tire to the area of each tire. Each tire supports one-fourth of the weight.
Here, the weight is the force
The force due to gravity is equal to the weight.
The force due to gravity of the car is,
[tex]F_g[/tex]=mg
Substitute 1500 kg for m and 9.8 m/[tex]s^2[/tex] for in the equation [tex]F_g[/tex]=mg .
[tex]F_g[/tex]= 1500 kg ×9.8 m/[tex]s^2[/tex]
=15000 N
The force due to gravity acting on each tire is,
[tex]F_e=F_8/4[/tex]
Substitute 15000 N for [tex]F_g[/tex] in the equation
[tex]F_g=15000/4[/tex]
=3750 N
Substitute 3750 N for F and 195×1[tex]0^-^4[/tex] [tex]m^2[/tex] for in the equation .
P=192307.6 Pa(0.000145038 psi/1pa)
=27.8 psi
As a result, each tire is under 27.8 psi pound of pressure.
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What pieces of information do you need to accurately describe the motion of an object?
Question 5 options:
Mass
Distance
Time
Fast
Size
Wind resistance
Direction
An object's location, velocity, acceleration, and direction can all be used to define motion.
Define velocity:
Velocity and speed describe how quickly or slowly an object is moving. We frequently encounter circumstances when we must determine which of two or more moving objects is going faster. If the two are travelling on the same route in the same direction, it is simple to determine which is quicker. It is challenging to identify who is moving the quickest when their motion is in the other direction. The idea of velocity is useful in these circumstances. Learn what velocity is, how it is measured, an example of velocity, and how it differs from speed in this article.
Motion may be described using an object's position, velocity, acceleration, and direction.
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to what temperature will 8800 jj of heat raise 2.5 kg of water that is initially at 20.0 ∘c∘c ? the specific heat of water is 4186 j/kg⋅c∘j/kg⋅c∘
20.08 °C is the temperature when 8800 jj of heat raise 2.5 kg of water that is initially at 20.0 ∘c
q=mcΔt
Δt=q/mc
Δt=8800/104650
Δt=0.08
T2-T1=0.08
T2-20=0.08
T2=20.08 °C
Heat or cold are measured in terms of temperature. It can be defined in terms of a variety of arbitrary scales and shows how heat energy naturally moves from a hotter to a colder body (one at a lower temperature). Even if a match burns at a considerably greater temperature than an iceberg, an iceberg has a much higher overall heat energy. The energy of a thermodynamic system differs from temperature.
Temperature, pressure, density, and other properties that are independent of the amount of matter being considered are referred to as intense properties, as opposed to broad characteristics like mass or volume.
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calculate the pressure due to the ocean, in atmospheres, at the bottom of this trench. given that its depth is 11.0 km and assuming the density of seawater is a constant 1.025 x 103 kg/m? all the way down
Let's first create our working equation. Everyone is aware that pressure is a force applied to a specific area of space. That would be P = F/A in an equation. According to Newton's Second Law of Motion, force equals mass times gravity, or F = mg. So, we can change the first equation to read P = mg/A by substituting F.
Now, the force that a fluid applies to a surface may also be used to calculate pressure. The volume of this fluid can be calculated. The density parameter, p = m/V, is used to relate volume and mass. Volume is the product of the cross-sectional area and the height, to further simplify things in terms of height. So, V = A*h. Following that, the working equation will be derived to be
P = pgh
The pressure that a fluid exerts over a specified height is referred to as hydrostatic pressure. We then locate the density of seawater data from the literature. According to research, saltwater has a density between 1,020 and 1,030 kg/m3. Let's stick with 1.020 kg/m3. Making the units consistent while substituting the values:
P = (1,020 kg/m³) (9.81 m/s2)(11 km)*(1,000 m/1km)
P = 110,068,200 Pa or 110.07 MPa
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Object A and object B are both heated to 200 Celsius. Object A must absorb 4,000J of heat energy to reach a temperature of 200 Celsius, while object B must absorb 2,500J of heat energy to reach a temperature of 200 Celsius. Which object has the highest specific heat ?
The specific heat capacity is like having capacity to acquire or absorb heat. Because of this, object A will have higher specific heat capacity than object B
What is Specific Heat Capacity ?The specific heat capacity of a substance is the quantity of heat required to raise the temperature of unit mass of the substance by one kelvin.
Given that Object A and object B are both heated to 200 Celsius. Object A must absorb 4,000J of heat energy to reach a temperature of 200 Celsius, while object B must absorb 2,500J of heat energy to reach a temperature of 200 Celsius.
Since both are heated to the same temperature, that mean object A has large heat capacity to absorb 4,000J of heat energy to reach a temperature of 200 Celsius. While object B has a less heat capacity to absorb 2,500J of heat energy to reach a temperature of 200 Celsius.
Therefore, object A has the higher specific heat capacity than object B
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you are heading toward an island in your speedboat when you see a friend standing on shore at the base of a cliff. you sound the boat's horn to get your friend's attention. let the frequency of the sound produced by the horn be f1f1, the frequency as heard by your friend be f2f2, and the frequency of the echo as heard on the boat be f3f3.
The Wavelength will be higher than what will be heard without any motion on the boat due to the Doppler Effect, which is the change in the frequency of a sound wave whenever there's a relative motion between the source of the wave and observer. The amount of shift in frequency depends on the speed of the source towards the observer; the higher the velocity of the source, the higher the shift.
Doppler effect is the shift in frequency as the object gets near an object/person or far away from an object or person.
When the frequency of a police car is heard from far away, the frequency is low and long wave lengths
When the frequency of a police car is heard from near, the frequency is high and short-wave lengths
Therefore, the Doppler effect is observed when the distance between
the source and the observer is changing.
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If the sun mysteriously gets twice as massive as it is right now, what effect will it have on its pull on mars?.
Effect it will have on its pull on mars will be twice as much
What would happen if the sun were twice as massive ?On average, the Sun is 93 million miles from Earth, but it is still essential to sustaining life as we know it.
If it were to decrease, grow, or change in any way, we would undoubtedly see significant changes in our lives.
The majority of people concur that the solar system's central star, the sun, is the source of the energy that powers planet Earth.
The light and heat that our star emits, which also contribute to the emergence of life on Earth, are used to build our climate and weather systems.
The length of a year is also influenced by the sun's gravitational pull, which is subject to our control.
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15. The coaster needs to come to a complete stop by the time it reaches point I. Calculate the deceleration of the coaster as it moves from
point H to I.
16. How much force is required to produce this deceleration (ignore friction).
17. Calculate the impulse imparted onto the coaster to make it stop (hint. Think change in momentum)
As the roller coaster proceeds from point H to point I, it decelerates at a rate of -29.4 m/s^2, and the force needed to cause this deceleration is equal to 29400 N. (ignore friction). The impulse is equal to -54220kgm/s.
Deceleration is the term used to describe a decrease in speed as the body moves away from the beginning place. Acceleration's antithesis is deceleration. A force is an impetus that has the power to alter an object's motion. It is expressed as Deceleration, also referred to as negative acceleration. A force can cause an object with mass to change its velocity, or accelerate (for example, moving from a condition of rest). Intuitively, a push or a pull can also be used to describe force.
v^2 -u^2 = 2as
(0) -(2940) = 100 -2940/100 = -29.4 m/sec^2 is the deceleration.
F = ma
F = 1000*(-29.4) (-29.4)
F = -29400N
The formula for an impulse is: p
Momentum = m(v-u) = 1000 (0-54.22)
impulse = 54220 kg m/sec
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colton and jackson are participating in a cognitive development study at the local university. colton is a 9-year-old fourth-grader. jackson is a 13-year-old eighth-grader. the boys have to determine whether the speed of a pendulum's swing depends on the pendulum's weight, the length of the string to which the pendulum is attached, or the height from which the pendulum is suspended. colton tests the weight, length, and height variables haphazardly, reflecting his thinking. jackson tests the variables systematically, reflecting his thinking.
Coltan is likely to carelessly test the weight, length, and height variables haphazardly. However, Jason will most likely do systematic tests of the variables because this is when kids start to think scientifically.
What does auditing's haphazard sampling entail?
A nonstatistical method known as "haphazard sampling" is used to choose sample items without any deliberate bias and without giving a justification for adding or omitting any particular items.
What is an example of haphazard sampling?
The vox pop poll, in which the interviewer chooses any passerby, is an illustration of accidentally. Unfortunately, selection is susceptible to the biases of the interviewer and anybody who happens to pass by at the moment of sampling unless the population units are actually comparable.
What distinguishes haphazard sampling from random sampling?
By numbering each item in the population and using random number tables to determine which things to investigate, random selection ensures that every member of the population has an equal chance of being chosen. Haphazard refers to the way a person chooses things, probably in an effort to mimic randomness.
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Calculate the frequency of a water wave that has a wavelength of 0. 5 m and a speed of 4 m/s.
The frequency of the water is 8 Hertz
What is frequency and wavelength ?The wavelength is the separation between two wave crests, and troughs have the same wavelength. The number of vibrations that pass over a specific spot in a second is known as the frequency and is expressed in cycles per second (Hz).
The frequency and wavelength of light are inseparably linked. The frequency increases with decreasing wavelength. As a result, the relationship between frequency and wavelength is inverse.
Given : Frequency of water = ?
Wavelength of water = 0.5m
And the speed of water = 4m/s
Frequency can be calculated by : f = v/λ
where , f = frequency
v = speed
λ = wavelength
So, f = v/λ
On substituting the values in the formula we get:
f = 4/0.5
f = 8 Hertz
Thus the required frequency of water is 8 Hertz
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which lighting method has most of the light from the light source reflected away from the camera, with the light usually at an angle of less than 45 degrees or focused off the object
Sidelighting is lighting method has most of the light from the light source reflected away from the camera.
Define Backlighting.
In order to create some visual contrast between the subject and the background, backlight is slanted down upon the subject from behind, emphasizing their shapes. the primary light's brightness, on average.
One of the most used methods in stage and portrait photography is side lighting. Additionally, it is a very attractive light that suits people of all ages and appearances. To highlight your model's bone structure, facial characteristics, and body shape, use side lighting.
Right or left side lighting is coming from a 45 degree angle with respect to your subject (or at 45 degrees diagonally from your camera over your subject).
Your subject will appear flat and have no shadows if the light is coming from the front. If you employ front or back lighting, you will create shadows, which are less aesthetically pleasing to the face but reveal depth and definition.
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what is the net force on the block at this time 0.89 s? (a negative force is to the left; a positive force is to the right)
The net force on the block at 0.89 s is zero Newtons.
What is net force?
The vector sum of the forces that act on a particle as well as object is known as the net force in mechanics. The original forces' impact on the motion of the particle is replaced by the net force, which is a single force. In accordance with Newton's second law of motion, it causes the particle to accelerate at a rate equal to the sum of all those actual forces. In order to keep the object's jets moving underneath the original system of forces, it is possible to calculate the torque connected to the point of application of the a net force. As with all actual forces combined, its corresponding torque, or net force, is becoming the resultant force and affects the object's rotational motion.
This is because the two forces acting on the block (the 10 Newton force to the right and the 10 Newton force to the left) are equal in magnitude, thus canceling each other out. Therefore, the net force on the block is zero Newtons.
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use information provided in the animation to help you think about what the data show. which statement must be true about the atmospheres on these three planets?
It is likely critical to understanding the surface temperatures of each planet to understand the overall amount of gases that compose its atmosphere.
What are planets ?
Large natural objects called planets orbit or move around stars. The Sun is a star that is orbited by eight planets. These planets are Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune, starting with those that are nearest to the Sun.
Although there are obvious similarities between the atmospheres of the four terrestrial planets and the four gas giant planets, each of the planets has a unique atmosphere. The two main ones are size and separation from the Sun. Small planets and moons like Mars and the Moon have thin atmospheres because gravity helps planets and moons retain their atmospheres.
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suppose a 2d system has a stable equilibrium point that is located somewhere outside a limit cycle. can a trajectory starting inside the limit cycle reach this point? justify your answer
If a 2d system has a stable equilibrium point that is located somewhere outside a limit cycle, a trajectory starting inside the limit cycle will not reach the equilibrium point.
A trajectory starting inside a limit cycle will at some point reach the limit cycle. But, even t = ∞, the trajectory will still be in the limit cycle. For the trajectory, there is no possible way to leave the limit cycle. So if a stable equilibrium point is located outside a limit cycle, a trajectory starting inside the limit cycle cannot reach that point.
In mathematics, in the study of dynamical systems with two-dimensional phase space, a limit cycle is a closed trajectory in phase space having the property that at least one other trajectory spirals into it either as time approaches infinity or as time approaches negative infinity.
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If the cyclist wanted to travel at a speed of v2 = 3. 5 m/s, how much time, in seconds, should elapse as the pedal makes one complete revolution?.
The pedal makes one complete revolution in a time equals to 1.79 times of radius second.
What is speed?
Speed is distance travelled by the object per unit time. Due to having no direction and only having magnitude, speed is a scalar quantity With SI unit meter/second.
Given parameters:
the cyclist wanted to travel at a speed of v₂ = 3. 5 m/s.
Let the radius of the cycle tire = r.
Then one complete rotation = 2πr.
The cycle goes in 1 second = 3.5 meter.
Hence, for one complete revolution required time = 2πr/3.5 seconds
= 1.79r second.
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two child sit on different positions of a merry-go-round. should they have the same tangential velocity?
No, they do not have the same tangential velocity.
tangential velocity= rω
v=rω
v is dependent or radius
as radius change, velocity change.
Tangential velocity is the linear component of an object's speed when it travels along a circular path. When an item moves in a circle at a distance r from the center, its velocity is always pointed tangentially. This is known as tangential velocity. We might also say that the tangential velocity is always the same as the linear velocity.
Tangential velocity is the measurement of speed at any location that is parallel to a wheel that is moving in a circle. Thus, the formula establishes a relationship between the tangential velocity, Vt, and the angular velocity,. Tangential velocity is the portion of motion along a circle's edge that may be measured at any given time.
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the air pollutant that computer simulations would likely show as being the most reduced by the installation of baghouse filters in exhaust systems
The installation of baghouse filters in exhaust systems is Particulate matter.
What is an exhaust system?The exhaust system gathers the cylinder exhaust gases, filters out dangerous materials, lowers the noise level, and then releases the cleaned exhaust gases to an appropriate location of the vehicle away from the occupants. Depending on the engine, the exhaust system may have one or two channels.
What role does the exhaust system play?The majority of people are aware that an exhaust system eliminates the dangerous gases your engine produces, however exhaust systems also perform a lot more functions! The four primary purposes of your vehicle's exhaust system are to reduce fuel consumption, move gases away, reduce noise, and increase engine performance.
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A 0.260 kg potato is tied to a string with length 2.50 m, and the other end of the string is tied to a rigid support. The potato is held straight out horizontally from the point of support, with the string pulled taut, and is then released.A) What is the speed of the potato at the lowest point of its motion? let g be = 9.80 m/s^2
The speed of the potato at its lowest point of motion which has a mass of 0.260 kg tied to a 2.50 m long rope is 7 m/s.
Law of conservation of energyBasically, the law of the conservation of energy is one of the laws of Physics which states that energy is eternal, so it can't change all the time, and has the same value both before something happens and after it happens. Well, the existence of this energy can also be changed in form with a magnitude that will always be the same. In this law of conservation of energy, the energy in question is kinetic energy, potential energy, mechanical energy, and others.
So, the kinetic energy of that potato will be equal to its potential energy when the string is pulled and the potato will be released.
The equation:
KE = PE
So, the speed of the potato at its lowest point of motion which has a mass of 0.260 kg tied to a 2.50 m long rope is:
(½) (m) (v²) = (m) (g) (h)
(½) (0.26) v² = (0.26) (9.8) ((2.5)
0.13 v² = 6.37
v² = 49
v = [tex]\sqrt{49}[/tex]
= 7 m/s
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what would the wind speeds at a be if the hurricane is moving due east at a speed of 40 km/hr and the average wind speed of the hurricane was 215 km/hr?
The wind speed would be 255km/hr if the hurricane is moving east due east at a speed of 40 km/hr and the average wind speed of hurricane was 215 km/hr.
We must determine the localized wind speed at Point A because it is the end of the storm and has the highest velocity.
Speed at point A equals the combined speeds of the hurricane and the forward motion since point A is situated in the same rotational direction as the cyclone.
speed at point A = speed of hurricane + speed of forward
= 215 + 40 = 255km/hr
What does a hurricane mean in simple terms?
A hurricane is defined as a tropical storm with sustained winds of 74 mph or more. A storm's eye typically measures 20 to 30 miles in width and can reach distances of 400 miles. Storms may be dangerous because of their heavy downpours, strong gusts, and storm surges.
Where do storms usually begin?
Near the tropics, in the Caribbean, or in the waters around the Cape Verdean islands of West Africa, hurricanes start to form. Surface water that is relatively warm quickly evaporates before condensing to create clouds in the sky. When moist air rises to the point of saturation, a tropical depression—a kind of meteorological system—is created.
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establish an order-of-magnitude criterion which shows in what range of radius the flow may be regarded as inertia-free. express your criterion in terms of q and h together with any other necessary quantities
The standard way to express an order of magnitude is as 10 to the nth power where q/h is 0.01.
Order of magnitude is the number of powers of 10 in a number or the number of powers of 0.1 in a negative number. The order of magnitude is represented by the n.A number is effectively multiplied by 10 if it is raised by one order of magnitude. A number is essentially multiplied by 0.1 if it is decreased by one order of magnitude.Protons and neutrons make up the atom's tiny, dense nucleus, which is located inside each atom. A nucleus may have a spherical, triaxial, pear-shaped, or rugby ball-like shape. Due to negligibly small contributions from the electron cloud surrounding it, an atom's nucleus almost makes up its entire mass. The protons and neutrons come together to form a nucleus due to nuclear force. In comparison to an atom, a nucleus diameter is significantly smaller.To learn more about electron cloud-
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what is the minimum thickness of film required? assume that the wavelength of the light in air is 480 nanometers.
Assuming that the light in air has a wavelength of 500 nanometers, the minimum thickness of the film needed is 83.9 nm.
How to calculate about Destructive Interference?Given; Index of refraction of polystyrene; η_p = 1.49
Index of refraction of Fabulite; η_f = 2.409
Light's in-air wavelength is 500 nm.
In order to answer this question, it will be found that light will initially be reflected twice: once from the top coating layer and once from the contact between the coating and the polystyrene material.
The light's additional path in the coating is 2t, whereas the path difference is 2t p.
Thus, minimum thickness of film required will be gotten from the formula used in destructive interference which is; 2tη_p = λ/2
t = λ/2 * 1/2η_p
t = λ/(4η_p)
t = 500/(4 * 1.49)
t = 83.9 nm
Therefore The minimum thickness of the film required assuming that the wavelength of the light in air is 500 nanometers is; 83.9 nm
The complete question is : A thin film of polystyrene is used as an antireflective coating for Fabulite (known as the substrate). the index of refraction of the polystyrene is 1.49, and the index of refraction of the fabulite is 2.409. what is the minimum thickness of film required? assume that the wavelength of the light in air is 500 nanometers.
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Two blocks are sliding toward one another along a level horizontal surface. One block is moving due east, and the other block is moving due west. The two blocks collide. Which of the following is NOT a possible set of directions the two blocks could be traveling after the collision?
a. Both blocks are traveling east after the collision.
b. Both blocks are traveling west after the collision.
c. One block travels northeast, and the other block travels northwest.
d. One block travels southwest, and the other block travels northeast.
e. One block travels southeast, and the other block travels northwest.
A block moving due east collide with a block moving due west. The set of directions that is not possible after the collision is (c) One block travels northeast, and the other block travels northwest.
This problem can be solved using the law of conservation of momentum, which states the total momentums before and after collision of two objects are the same. Mathematically,
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
Where:
m = mass
u = initial velocity
v = final velocity
In the given problem, one block is moving due east, and the other block is moving due west. Hence, before the collision, both objects only have velocity in horizontal components and no vertical components. Therefore, after the collision, the resultant of the velocity should also have only the horizontal component.
a. Both blocks are travelling east after the collision <---- it is possible since both objects only have horizontal component
b. Both blocks are traveling west after the collision.<---- it is possible since both objects only have horizontal component
c. One block travels northeast, and the other block travels northwest. In this case, the components of northeast velocity is due north and due east, while the components of northwest velocity is due north and due west. The resultant of velocity will have vertical (north) component, hence this set of direction is not possible.
d. One block travels southwest, and the other block travels northeast. This is possible, since the north component can be cancelled out by the south component, resulting in horizontal component only.
e. One block travels southeast, and the other block travels northwest.
This is possible, since the north component can be cancelled out by the south component, resulting in horizontal component only.
Therefore, the set of directions that is not possible is (c) One block travels northeast, and the other block travels northwest.
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a string trimmer is a tool for cutting grass and weeds; it utilizes a length of nylon "string" that rotates about an axis perpendicular to one end of the string. the string rotates at an angular speed of 47 rev/s, and its tip has a tangential speed of 54 m/s. what is the length of the rotating string?
The length of rotating string having 47 revolutions is 2m.
A string trimmer is a tool for cutting grass and weeds; it makes use of a length of nylon "string" that rotates around an axis perpendicular to one end of the string. The string's tangential speed at its tip is 54 m/s, and its angular speed is 47 rev/s.
[tex]Z=dc+CvdT+\pi (d^2L)/dT^2+\alpha \\\\Z=dc+CvdT\\\\Z=\left \{ {{\neq 1} \atop {=1}} \right.[/tex]
For ideal situations Z needs to be unity.
Mathematically, function tends to reduce to negligible.
This is due to its inverse relation with order of the derivative.
[tex]Cv\geq 1[/tex]
The linear speed of any object moving along a circular path at any given moment is known as tangential speed or tangential velocity. For any two instants of time for a given object in circular motion, the direction of tangential speed can never be the same.
[tex]\frac{d^2L}{y}+S=0\\ \\\frac{d^2L}{y}=0\\\\s\neq 0[/tex]
[tex]speed= \frac{47\pi }{54}\\ \\=12.38m/s[/tex]
Length of string=12.38 /2π
=1.97m approx to 2m
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