A roller skater skating around the rink provides a good example of how speed, velocity, and acceleration are related.
Speed is the magnitude of the roller skater's velocity, which is the rate at which the roller skater moves around the rink.
Velocity is a vector quantity that describes both the speed and direction of the roller skater's motion.
Acceleration is the rate at which the velocity of the roller skater changes.
Speed: If the roller skater moves one lap around the rink in 30 seconds, for example, then the speed is the distance traveled per unit time, which is one lap divided by 30 seconds.
Velocity: If the roller skater is moving around the rink in a counterclockwise direction, for example, then the velocity is counterclockwise and its magnitude is the speed of the roller skater.
Acceleration: Since velocity is a vector quantity, any change in velocity involves a change in speed, direction, or both. If the roller skater is speeding up while going around a turn, for example, then the acceleration is directed towards the center of the turn and is known as centripetal acceleration.
In summary, a roller skater skating around the rink illustrates how speed, velocity, and acceleration are related. The speed describes the magnitude of the roller skater's motion, the velocity describes both the speed and direction of the motion, and the acceleration describes the rate at which the velocity changes, including changes in speed, direction, or both.
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A block of gold (density 19300 kg/m3), a block of concrete (density 2000 kg/m3), and a block of ice (density 920 kg/m3) are all submerged in the same fluid where all three blocks have the same volume. Which block experiences the greatest buoyant force?.
All three experience the same uboyant force.
What is buoyant force?
Upthrust, often known as buoyancy, is an upward force applied by a fluid against the weight of an object that is partially or completely submerged. The weight of the fluid on top causes pressure in a fluid column to rise with depth.
All three objects experience the same buoyant force because their volumes are equal the buoyant force on an object in a liquid depends on the volume of the submerged object, the density of the liquid, and the acceleration caused by gravity but not on the density of the object.
Hence, all will experience the same buoyant force.
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At what angle should two mirrors inclined to produced 10
images during reflection of a body?
Answer:
36°
Explanation:
let n=10 images
n=360/theta
10=360/theta
theta=360/10
theta=36°
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voyager 1 is a space probe launched by nasa in 1977 and is the farthest human-made object. it experiences negligible gravity. voyager 1 is propelled by thrusters but will run out of fuel by 2040. what will happen to voyager 1 after this date?
Once Voyager 1 runs out of fuel for its thrusters, it will no longer be able to make course corrections or adjustments to its orientation. It will continue to move in a straight line at a constant velocity, determined by its current momentum and the gravitational forces acting on it.
Despite the negligible gravity in interstellar space, Voyager 1 will still be influenced by the gravitational fields of nearby stars and other objects. However, the effect of these gravitational forces will be relatively small, and Voyager 1 is expected to continue on its current trajectory for millions of years, eventually leaving the solar system and entering interstellar space.
Without any way to communicate with Voyager 1 after its fuel runs out, it will continue to travel through space as a silent relic of human exploration. It will carry with it the iconic golden record, which contains images, sounds, and greetings from Earth, as a testament to the creativity and curiosity of our species.
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An unknown material has a mass of 3.5 g and a volume of
5.5 cm3 What is the density of the material? Round to the nearest tenth.
Explanation:
Density=mass/volume
density= 3.5 g ÷ 5.5cm
density=0.63
compare the acceleration of a motorcycle that accelerates from 90 km/hkm/h to 105 km/hkm/h with the acceleration of a bicycle that accelerates from rest to 20 km/hkm/h in the same time.
The acceleration of the motorcycle is significantly faster than that of the bicycle.While the motorcycle is able to accelerate from 90 km/hkm/h to 105 km/hkm/h in a matter of seconds, the bicycle would take much longer to go from rest to 20 km/hkm/h.
The acceleration of the motorcycle is much greater than the acceleration of the bicycle. This is because the motorcycle is able to cover a greater distance in the same amount of time due to its powerful engine and larger size.
To compare the acceleration of a motorcycle that accelerates from 90 km/h to 105 km/h with the acceleration of a bicycle that accelerates from rest to 20 km/h in the same time, follow these steps:
1. Determine the change in velocity for both the motorcycle and the bicycle.
Motorcycle: Final velocity (Vf) = 105 km/h, Initial velocity (Vi) = 90 km/h
Bicycle: Final velocity (Vf) = 20 km/h, Initial velocity (Vi) = 0 km/h
2. Calculate the change in velocity for both vehicles.
Motorcycle: ΔV = Vf - Vi = 105 km/h - 90 km/h = 15 km/h
Bicycle: ΔV = Vf - Vi = 20 km/h - 0 km/h = 20 km/h
3. Since both vehicles accelerate for the same amount of time, we can denote the time as 't'.
4. Calculate the acceleration for both vehicles using the formula: Acceleration (a) = ΔV / t
Motorcycle: a_motorcycle = (15 km/h) / t
Bicycle: a_bicycle = (20 km/h) / t
The acceleration of a motorcycle that accelerates from 90 km/h to 105 km/h is represented by the equation a_motorcycle = (15 km/h) / t. In contrast, the acceleration of a bicycle that accelerates from rest to 20 km/h in the same time is represented by the equation a_bicycle = (20 km/h) / t. To compare their accelerations directly, you would need to know the value of 't'.
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a student has built a 17-cm-long pinhole camera for a science fair project. she wants to photograph her 170-cm-tall friend and have the image on the film be 4.5 cm high. Part A
How far should the front of the camera be from her friend?
Express your answer to two significant figures and include the appropriate units.
The required answer is 17.45 cm.
The formula for determining the distance from the object to the pinhole in a pinhole camera is:
distance from object to pinhole = focal length + distance from pinhole to image
We know that the length of the camera that is the focal length is 17 cm and that the height of the image on the film should be 4.5 cm. We can use these values to calculate the distance from the pinhole to the image:
distance from pinhole to image = (image height x focal length) / object height
distance from pinhole to image = (4.5 cm x 17 cm) / 170 cm
distance from pinhole to image = 0.45 cm
Now we can use this value to calculate the distance from the object (her friend) to the pinhole:
distance from object to pinhole = focal length + distance from pinhole to image
distance from object to pinhole = 17 cm + 0.45 cm
distance from object to pinhole = 17.45 cm
Therefore, the front of the camera should be approximately 17.45 cm away from her friend in order to take the desired photograph is the required answer in two significant figure.
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an observer at the top of a cliff measures the angle of depression from the top of the cliff to a point on the ground to be . what is the distance from the base of the cliff to the point on the ground? round to the nearest foot.
5,28 ft is the distance from the base of the cliff to the point on the ground.
The distance of the cliffThis question is incomplete, it should be:
Height of the cliff = 462 ft
Angle of depression = 5°
Determine the angle of the base first,
Use the hypotenuse side:
90° - 5° = 85°
Hence, the angle of depression form the top of the cliff = 5°
So, the distance from the base of the cliff to the point on the ground:
tan α = opposite / adjacent
tan 85° = h/462
h = 462 × tan 85°
= 462 x 11.43
h ≈ 5,28 ft
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a filter is 18 feet wide and 20 feet long. The maximum filtration rate allowed for this unit is 6.0 gpm/ft2. what is the highest flow rate that this filter can process
The highest flow rate that this filter can process is 2,160 gpm.
The maximum filtration rate allowed for a filter depends on the filter's size and the permissible flow rate per unit area of the filter. In this case, the filter has an area of 18 feet x 20 feet = 360 square feet.
The surface area of the filter is:
18 feet x 20 feet = 360 square feet
To determine the maximum flow rate, we need to multiply the surface area by the maximum filtration rate allowed:
360 square feet x 6.0 gpm/ft2 = 2,160 gallons per minute (gpm)
Therefore, the highest flow rate that this filter can process is 2,160 gpm.
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4. Each croquet ball in a set has a mass of 0.50 kg. The green ball, traveling at 12.0 m/s,
strikes the blue ball, which is at rest. Assuming that the balls slide on a frictionless
surface and all collisions are head-on, find the final speed of the blue ball in each of the
following situations:
a. the green ball stops moving after is strikes the blue ball. (12 m/s)
b. the green ball continues moving after the collision at 2.4 m/s in the same
direction. (9.6 m/s)
c. the green ball continues moving after the collision at 0.30 m/s in the same
direction. (11.7 m/s)
Answer:
C
Explanation:
I think the answer is C because there is no friction to stop the ball and the ball will collide together which will increase the speed because the greater the mass the greater the velocity.
Calculate the stresses acting on the surfaces of haulage excavated in an orthotropic rock mass given the following parameters acting at a point around the peripheral of the excavation; E1 =2.5, E2 =2,E3 =2.5, V21 =0.2, V31 =0.15, V32 =0.125,G12 =0.15,G23 =0.26,G31 =0.2,εxx ,εyy ,εzz ,εxy , εyz ,εzx where E is the Young Modulus, G is the Shear Modulus, V is the Poisons ratio and the remaining parameters are components of the strain tensor acting at a point. Hint: Major and Minor stress act on the surfaces of excavations
The stresses acting on the surfaces of haulage excavated in an orthotropic rock mass is obtained.
Major and minor stresses act on the surfaces of excavations. Let's calculate the stresses acting on the surfaces of haulage excavated in an orthotropic rock mass given the following parameters acting at a point around the peripheral of the excavation. Major and minor stresses acting on the surfaces of excavations are given by the following equation:
σ1 = ½ [(σxx + σyy) + √[(σxx – σyy)² + 4σxy²]]σ2 = ½ [(σxx + σyy) – √[(σxx – σyy)² + 4σxy²]]σ3 = σzz
Here,
σ1 is the major stress,
σ2 is the minor stress,
σ3 is the axial stress,
σxx is the stress along the x-axis,
σyy is the stress along the y-axis,
σzz is the stress along the z-axis,
σxy is the shear stress in the xy plane,
σyz is the shear stress in the yz plane,
σzx is the shear stress in the zx plane,
and ε is the strain tensor acting at a point.
We have,E1 = 2.5E2 = 2E3 = 2.5V21 = 0.2V31 = 0.15V32 = 0.125G12 = 0.15G23 = 0.26G31 = 0.2εxx = ?εyy = ?εzz = ?εxy = ?εyz = ?εzx = ?
The calculation of stress is carried out as follows:
σxx = E1εxx + V21E2εyy + V31E3εzzσyy = V21E1εxx + E2εyy + V32E3εzzσzz = V31E1εxx + V32E2εyy + E3εzzσxy = G12εxy + G23εyz + G31εzxNow substituting the values:σxx = (2.5)(2.5)εxx + (0.2)(2)(2)εyy + (0.15)(2.5)(2.5)εzzσyy = (0.2)(2.5)(εxx) + (2)(2)εyy + (0.125)(2.5)εzzσzz = (0.15)(2.5)(εxx) + (0.26)(2)(εyy) + (2.5)εzzσxy = (0.15)εxy + (0.26)εyz + (0.2)εzx
Thus, the stresses acting on the surfaces of haulage excavated in an orthotropic rock mass given the following parameters acting at a point around the peripheral of the excavation are as follows:σxx = 6.25εxx + 0.8εyy + 1.875εzzσyy = 0.5εxx + 4εyy + 0.3125εzzσzz = 0.375εxx + 0.52εyy + 2.5εzzσxy = 0.15εxy + 0.26εyz + 0.2εzx
Thus the stresses acting on the surfaces of haulage excavated in an orthotropic rock mass is obtained.
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If the radio waves that are sent from the speed gun have a frequency of 400,000,002 Hz and the radio waves reflected off an approaching car have a frequency of 400,000,109 Hz, what is the speed of the car? (Hz is the SI unit of frequency, equal to cycles per second).
Answer:
40.1 m/s or 144.36 km/h
Explanation:
The equation is (v=∆ f/f) x (c/2)
V is velocity
delta f is returned frequency minus intial frequency divided by the initial frequency
c is the speed of light in m/s divided by 2
v= (400,000,109 Hz - 400,000,002 Hz)/400,000,002Hz x (299,792,458 m/s)/2
What is a crossroads of trade?
Answer:
A crossroads of trade is a place where many trade routes converge, often leading to the exchange of goods and ideas between different cultures. Historically, cities and towns located at crossroads of trade have been important centers of commerce and cultural exchange. For example, the ancient city of Alexandria in Egypt was a crossroads of trade between Europe, Africa, and Asia, and played a key role in the exchange of goods and ideas between these regions. In modern times, cities such as Dubai and Singapore have become important crossroads of trade due to their strategic location and well-developed infrastructure for transportation and logistics.
Why are electron affinity values for the noble gases endothermic?.
Answer:
An electron added to a noble gas must go in the next higher energy level. The periodic trend for electron affinity values is not as consistent as for other trends.
How did katherine johnson respond when it seemed that certain meetings at nasa were only for men?
Katherine Johnson accepted that the meetings were only for men and didn't ask to attend.
What is meeting?Meetings are when two or more people get together to talk about one or more topics, frequently in a formal or business setting, though they can also happen in a variety of other settings. Group decision-making can be done during meetings.
A meeting is a gathering of two or more individuals called for the express purpose of engaging in verbal interaction in order to accomplish a common objective, such as exchanging information or coming to a consensus. Face-to-face meetings can take place virtually through the use of communications technology, such as a telephone conference call, a skped conference call, or a videoconference.
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flourine's atomic number is 9 and its mass number is 19. which of the following is true of flourine? group of answer choices it has not net charge when it has 19 electrons it contains 19 protons and 9 neutrons it contains 9 protons and 19 neutrons it contains 9 protons and 10 neutrons
Fluorine, with an atomic number of 9 and a mass number of 19, contains 9 protons and 10 neutrons.
The atomic number of an element represents the number of protons in its nucleus. Since fluorine has an atomic number of 9, it means it has 9 protons. The mass number, on the other hand, represents the total number of protons and neutrons in an atom's nucleus. Given that the mass number of fluorine is 19, and we already know it has 9 protons, we can subtract the number of protons from the mass number to determine the number of neutrons. Therefore, fluorine contains 9 protons and 10 neutrons.
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Planets A and B have the same mass, but planet A is half the size of planet B.
Which statement correctly explains the weight you would experience on each
planet?
A. You would weigh the same on both planets because your mass
would be the same on both.
B. You would weigh less on planet A because the distance between
you and the planet's center of gravity would be smaller.
C. You would weigh more on planet A because the distance between
you and the planet's center of gravity would be smaller.
D. You would weigh the same on both planets because the masses
of the planets are the same.
Answer: C
Explanation: I just finished the test on A P E X :)
Planets A and B have the same mass, but planet A is half the size of planet B, hence you would weigh more on planet A because the distance between you and the planet's center of gravity would be smaller, so option C is correct.
What is mass?A fundamental characteristic of an object, its inertia is quantified by its mass, which is a basic indicator of the volume of substance inside the thing. Because mass is such a fundamental quantity and is difficult to define in terms of another, definitions of it frequently appear circular.
It is possible to define every mechanical quantity in terms of mass, length, and time. The SI unit for mass, denoted by the letter m, is the kilogram. While mass is typically thought of as an immutable feature of an item, relativistic mass must be taken into account when traveling at speeds close to the speed of light.
Therefore, You would weigh more on planet A because the distance between you and the planet's center of gravity would be smaller.
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How does the tilt of Earth's axis cause seasons?
Calculate the energy per photon (in J) associated with a frequency of 1260kHz Submit answer in scientific notation using the foat 0.00×10∧ 0(e.g.0.000123=1.23×10 ∧
−4). Omit units and spaces.
The energy per photon associated with a frequency of 1260 kHz is 2.10×10^-25 J.
To calculate the energy per photon, we can use the equation: E = hf, where E represents the energy, h is the Planck's constant (6.62607015 × 10^-34 J·s), and f is the frequency of the photon. Given that the frequency is 1260 kHz, we need to convert it to hertz (Hz) by multiplying it by 10^3:
Frequency = 1260 kHz × 10^3 = 1.26 × 10^6 Hz
Now, we can substitute the values into the equation:
E = (6.62607015 × 10^-34 J·s) × (1.26 × 10^6 Hz)
E = 8.33929859 × 10^-28 J
The answer is given in scientific notation as 8.34 × 10^-28 J. However, the question specifically asks for the answer in the format of 0.00×10^0. To achieve this, we can multiply the result by 10^3 and adjust the exponent accordingly:
E = (8.33929859 × 10^-28 J) × (10^3)
E = 8.33929859 × 10^-25 J
Thus, the energy per photon associated with a frequency of 1260 kHz is 2.10×10^-25 J.
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a super ball is a toy ball made of hard synthetic rubber called zectron. this material has a high coefficient of restitution so that if it is dropped from a certain height onto a hard fixed surface, it rebounds to a substantial portion of its original height. if the super ball has 7 cm diameter and the density of zectron is about 1.5 mg/m3, determine the weight of the super ball on the surface of the earth in u.s. customary units.
The weight of the super ball is 0.00224 oz.
To determine the weight of the super ball in U.S. customary units, we first need to calculate its volume. We can use the formula for the volume of a sphere: V = 4/3 * pi * r^3, where r is the radius of the sphere (half the diameter). In this case, the radius is 3.5 cm.
So, V = 4/3 * pi * \((3.5 cm)^3\)= 4/3 * pi * 42.875 \(cm^3\)
Next, we can use the density of section (1.5\(mg/m^3\)) and the volume of the sphere to calculate the weight of the super ball.
Weight = Density * Volume
The weight of the super ball will be approximately:
Weight = 1.5 \(mg/m^3\) * 42.875 \(cm^3\) = 63.8125 mg
Converting to ounces:
63.8125 mg = 0.00224 oz
Therefore, The weight of the super ball is 0.00224 oz.
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An L-C circuit containing an 90.0 mH inductor and a 1.75 nF capacitor oscillates with a maximum current of 0.750 A. Assuming the capacitor had its maximum charge at time t = 0, calculate the energy stored in the inductor after 2.40 ms of oscillation.This is a 3 part question. I managed to figure out Part A and Part B.Part A: Calculate the maximum charge on the capacitor. Answer: Qmax = 9.41*10^-6 CPart B: Calculate the oscillation frequency of the circuit. Answer: f = 1.27*10^4 Hz
The energy stored in the inductor after 2.40 ms of oscillation in an L-C circuit can be calculated by using the formula for the energy stored in an inductor. The maximum charge on the capacitor and the oscillation frequency of the circuit are already determined in Part A and Part B.
Part A: The maximum charge on the capacitor can be calculated using the formula Qmax = CV, where C is the capacitance and V is the voltage. Given that the capacitance is 1.75 nF and the maximum voltage is not provided, we cannot determine the maximum charge on the capacitor.
Part B: The oscillation frequency of the circuit can be calculated using the formula f = 1 / (2π√(LC)), where L is the inductance and C is the capacitance. Substituting the given values of 90.0 mH and 1.75 nF into the formula, we can find the oscillation frequency, which is approximately 1.27*\(10^4\) Hz.
Part C: To calculate the energy stored in the inductor after 2.40 ms of oscillation, we need to use the formula for the energy stored in an inductor, which is given by E = \(0.5LI^2\), where L is the inductance and I is the current.
Given that the inductance is 90.0 mH and the maximum current is 0.750 A, we can substitute these values into the formula and calculate the energy stored in the inductor.
However, the time of 2.40 ms is not sufficient to determine the energy stored in the inductor since it requires information about the time-dependent behavior of the circuit.
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the electrostatic force may be written as . in principle, if we set up an experiment with two charged objects and measure the force between them at various distances, the result should follow this theory. if we plot the data as vs. , how should the graph appear?
The idea that two metals will transmit electrons to one another when they come into contact, creating an electrical triple layer and an attractive force, is where the electrostatic hypothesis got its start.
In layman's words, what is electrostatic force?Electrostatic force is the force a charged body applies to another charge or uncharged body as a result of that body's charge. Examples: 1. Paper fragments are drawn to plastic that has been touched by wool, hair, or fur. 2.
What kind of force is electrostatic?Examples of electrostatic interaction are: With the aid of a comb, we can create electrostatic force when we run a paper piece through the oils in our heads. When one balloon is brushed with hair, the other balloon becomes drawn to it.
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3. Why don't solar eclipses happen every
month? sc.8.E.5.9
A
B
C
D
Earth's orbit around the Sun is at an
angle, which keeps Earth out of the
Moon's shadow.
Earth's tilt on its rotation axis keeps it
from falling into the Moon's shadow
during most months.
The Moon's orbit is irregular, and most
of the time the Moon is too far away to
cast a shadow on Earth.
The Moon's orbit is tilted compared
to Earth's orbit, so Earth is not in the
Moon's shadow most months.
Answer:
D: The Moon's orbit is tilted compared
to Earth's orbit, so Earth is not in the
Moon's shadow most months.
5
A football player kicks a 0.5 kg stationary football with a force of 60 N.
What is the force exerted on the player's foot by the football?
A football player kicks a 0.5 kg stationary football with a force of 60 N.
The force exerted on the player's foot by the football is 60 N
What is force?
A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
Newton's third law argues that there is an equal and opposite response to every action (force) in nature. When foot hits the football , footballalso hits with an equal and opposing force. In other words, interactions produce forces.
A football player kicks a 0.5 kg stationary football with a force of 60 N.
The force exerted on the player's foot by the football is 60 N
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What is atoms in atomic physics
As the moon orbits earth, it’s direction constantly changes. Which of these fires is most likely causing this change to velocity?
1Dyne = How many Newtons??
Answer:
answer to this question
1 × 10-5 newton
hope it helps:)
Answer:
I dyne= 1×10^-5 newtons
Explanation:
hope it will help you
from which location could you observe all of the stars during the course of a year?
To observe all of the stars during the course of a year, you would need to be at a location near the Earth's equator. This is because at the equator, the Earth's axis of rotation is perpendicular to the plane of the ecliptic, which is the path that the Sun appears to follow across the sky.
From where the equator of earth passes from?The equator of the Earth is an imaginary line that circles the Earth and passes through the Earth's center, dividing the Earth into the Northern Hemisphere and the Southern Hemisphere.
In how many parts the earth is divided?The Earth is divided into two main parts: the Northern Hemisphere and the Southern Hemisphere. These two hemispheres are divided by the equator, which is an imaginary line that circles the Earth and passes through the Earth's center.
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when the adhesive forces between a liquid and the walls of a capillary tube are greater than the cohesive forces within the liquid
The liquid will rise above the surrounding liquid due to the attraction when the adhesive forces between a liquid and the walls of a capillary tube are larger than the cohesive forces. The same factor will cause the meniscus to be concave.
Adhesive forces, such as mechanical forces (sticking together) and electrostatic forces, are the attractive forces between dissimilar substances. Adhesion is the property that makes a liquid-wetting agent stick to the surface it is resting on.
The attraction between molecules of the same substance is referred to as the force of cohesion. The force of adhesion is the attraction that exists between two different materials, such as water and glass.
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How is the answer D?
The graph that corresponds to 0.1 s in one complete cycle is graph D.
option D is the correct answer.
What is the period of a wave?The period of a wave is the time for a particle on a medium to make one complete vibrational cycle. Period, being a time, is measured in units of time such as seconds, hours, days or years.
Also, the period of a wave is the amount of time it takes for a wave to complete one wave cycle or wavelength.
From the given parameter, the coil rotates 10 times in one second. The period of the coil is calculated as;
Period = 1 s / 10
Period = 0.1 s
From the graphs, the only option that has one complete cycle in one second is option D.
Check option D, half cycle is 0.05 s and one full cycle is 0.1 s.
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A thermometer is taken from a room where the temperature is 19
∘
C to the outdoors, where the temperature is −5
∘
C. After one minute the thermometer reads 11
∘
C. (a) What will the reading on the thermometer be after 3 more minutes? (b) When will the thermometer read −4
∘
C ? minutes after it was taken to the outdoors.
The reading on the thermometer after 3 more minutes will be -13∘C. The thermometer will never read -4∘C after being taken outdoors.
To solve this problem, we can assume that the rate of change in temperature follows a linear pattern.
Let's first calculate the rate of change in temperature per minute:
Rate of change = (Final temperature - Initial temperature) / Time
a) After one minute:
Rate of change = (11∘C - 19∘C) / 1 minute = -8∘C/minute
To find the reading on the thermometer after 3 more minutes, we can multiply the rate of change by the time:
Change in temperature = Rate of change × Time
After 3 more minutes:
Change in temperature = -8∘C/minute × 3 minutes = -24∘C
The initial temperature was 11∘C, so the final temperature after 3 more minutes will be:
Final temperature = Initial temperature + Change in temperature = 11∘C - 24∘C = -13∘C
b) To find when the thermometer will read -4∘C, we need to determine the time it takes for the temperature to change from -5∘C to -4∘C.
Rate of change = (-4∘C - (-5∘C)) / Time
Rate of change = 1∘C / Time
We can rearrange the equation to solve for time:
Time = 1∘C / Rate of change
Substituting the given rate of change:
Time = 1∘C / (-8∘C/minute) = -1/8 minute
Since time cannot be negative, we can conclude that the thermometer will never read -4∘C after being taken outdoors.
Please note that this calculation assumes a linear rate of change in temperature, which might not hold true in all situations.
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