If two blocks are connected by a string of negligible mass that passes over massless pulleys, the system can be analyzed using the principles of Newton's second law and the conservation of energy.
What is Newton's second law? In this scenario, the net force acting on each block is the tension in the string, which is equal in magnitude for both blocks. Therefore, if the blocks have different masses, they will have different accelerations. In this scenario, the mechanical energy of the system is the sum of the gravitational potential energy and the kinetic energy of the blocks. If the pulleys are massless and frictionless, then the mechanical energy of the system will be conserved.In summary, the two blocks will move together with the same acceleration if the pulleys are massless and frictionless.To learn more about newtons second law refer:
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Answer the questions based on the information given. The Amur plate, a small plate, has moved away from the Eurasian plate. It has moved125,000 meters in 25 million years. It is moving eastward. What is the rate of motion of the Amur plate
The solutions are: The movement is 5 mm per year. The plate is 5,000 meters to the east. The Amur and Eurasian plates would collide, creating an ocean floor.
The rate of motion is in mm per year so you need to convert the distance it has moved to millimeters.
1 meter = 1,000 meters
125,000 will therefore be:
= 125,000 * 1,000
= 125,000,000 millimetersRate of motion = 125,000,000 / 25,000,000 years
= 5 mm/year
The plate is moving east and in 1 million years it would be:
= 1,000,000 * 5 mm/year
= 5,000,000 mm
n meters this is:
= 5,000,000 / 1,000
5,000 meters east
ecause the Amur and the Eurasian plates are moving apart, the ocean would have to fill up the space left which would lead to the development of a new oceanfloor.
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Answer: 5 mm/year, 5000 meters east, new ocean floor
Explanation:
Which of the following properties of a 2.3 MHz ultrasound wave remains unchanged as it passes into human tissues
When it comes to frequency, a 2.3 MHz ultrasonic wave's characteristic does not alter while it travels through human tissues.
The frequency of a wave is the number of oscillations it performs in a second. It's calibrated in hertz (Hz). The number of waves that pass a specific place in a predetermined period of time is known as wave frequency. The hertz (Hz) is the SI unit for wave frequency, and 1 hertz is equivalent to 1 wave crossing a fixed point in 1 second. A wave with a higher frequency has more energy than a wave with a lower frequency of the same amplitude.
As a result, a wave's frequency is unaffected by the medium through which it travels.
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The set of spectral lines that we see in a star's spectrum depends on the star's (a) atomic structure. (b) chemical composition. (c) rotation rate.
The set of spectral lines that we see in a star's spectrum depends on the star's (b) chemical composition, (d) temperature.
The spectral lines of a star are determined by its chemical composition and temperature. These properties determine the number and type of atoms present in the star's atmosphere. Each type of atom has its own unique set of spectral lines, and the temperature of the star determines the energy level of the atoms, which affects the wavelengths of the spectral lines emitted. The rotation rate and atomic structure of a star do not affect the set of spectral lines we see in its spectrum.
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You rub a piece of wool upon your skin and your skin becomes negatively charged because it gained _____.
When you touch a piece of wool against your skin, your skin acquires a negative charge because of the conservation of charge, which caused it to gain a positive charge.
Charge is a material's property that can be transferred into another person's body. The transfer of the charge results in the generation of electricity. The following are some examples of charge's various properties: 1 Electric charge addition 2 Electric charge conservation 3 Electric charge quantization. Equations in chemistry are denoted by the capital letter Q to denote charge, with the elementary charge of an electron (e) serving as a standard unit. The coulomb is the SI-derived unit of charge (C). In electrical engineering, the ampere-hour (Ah) unit of charge is frequently used.Dipole Definition in Chemistry and Physics. by this primary information we can consider that when you rub a piece of wool upon your skin and your skin becomes negatively charged because it gained a positive charge as the result of conservation of charge.
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Is SCID a deletion mutation?
No, SCID is not a deletion mutation.
The AK2 gene, which codes for the mitochondrial enzyme adenylate kinase 2 (AK2), is mutated (missense mutations; deletions) in SCID, which is brought on by an increase in lymphocyte apoptosis [75,76]. A category of extremely rare diseases known as severe combined immunodeficiency (SCID) are brought on by abnormalities in various genes involved in the growth and operation of immune cells that fight infections. At birth, infants with SCID seem healthy, yet they are prone to serious infections.
Due to mutations in the gene encoding the common chain for several cytokine receptors, X-linked SCID is the most prevalent kind. Adenosine deaminase deficiency (ADA def.) and IL-7R-chain deficiency are the second and third most frequent causes, respectively.
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How much of the world's energy is hydroelectric?
According to the United Nations Environment Programme, hydropower accounted for 16.6% of global electricity generation in 2018.
This is equivalent to a total installed capacity of 706 GW, making it the second largest energy source after thermal sources.
Hydropower is a renewable energy source and is often seen as a more sustainable alternative to thermal sources, as it does not release any greenhouse gases into the atmosphere. Additionally, hydropower is a reliable source of energy, and can be used to meet peak energy demand.
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The impulse that the pelton wheel applies to the water is ___ the change in momentum of the water after hitting the flat paddle wheel?
The impulse that the pelton wheel applies to the water is equal to the change in momentum of the water after hitting the flat paddle wheel.
What is the pelton wheel about?Impulse is a measure of the force applied to an object over a period of time, and it is equal to the change in momentum of the object.
In the case of the pelton wheel, the force is applied to the water by the flat paddle wheel, and the change in momentum of the water is the result of that force.
Therefore, The impulse of the pelton wheel is therefore equal to the change in momentum of the water after it hits the paddle wheel.
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A block is resting on an slope. (Figure 3) Which of the following forces act on the block? Check all that apply. O weight O static friction O normal force O kinetic friction O force of push
The correct option is A, B, and C. A block resting on a slope is Weight, static friction, and Normal force.
Static friction is a force that continues an item at relaxation. Static friction definition can be written as: The friction skilled while individuals try to move a desk-bound object on a surface, without surely triggering any relative movement between the frame and the surface on which it's miles.
Static friction is a form of friction force that acts on a body when there's no relative motion between the object and the surface. So, it can act even if the frame is in motion however there should be no relative motion.
A pressure acting on an item is said to be a static force if it no longer exchanges the scale, function, or route of that precise object. The pressure implemented to a structure acts as a load to that precise structure, that is why static force is likewise called a static load.
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Complete Question:
A block is resting on a slope. (Figure 3) Which of the following forces act on the block?
Check all that apply.
A). Weight
B). Static friction
C). Normal force
D). Kinetic friction
E). Force of push
8.A 1580 kg car is traveling with a speed of 150 m/s. What is the magnitude of the horizontal net force that is required to bring the car to a halt in a distance of 50.0 m
The magnitude of the horizontal net force required to bring the car to a halt in a distance of 50.0 m is 2370 N.
What is force?
Force is a quantity that describes the interaction between two objects or systems. It is a vector quantity, meaning it has both magnitude (size or strength) and direction. Forces can cause changes in an object's motion, shape, or internal energy.
The magnitude of the horizontal net force required to bring the car to a halt in a distance of 50.0 m can be calculated using the equation:
force = (mass * velocity^2) / (2 * distance)
where mass is the mass of the car, velocity is the initial velocity of the car, and distance is the distance over which the car is brought to a halt.
Plugging in the given values, we get:
force = (1580 kg * 150 m/s^2) / (2 * 50.0 m)
force = (237,000 N) / 100
force = 2370 N
Hence, the magnitude of the horizontal net force required to bring the car to a halt in a distance of 50.0 m is 2370 N.
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Ball A od mass 5.0 kilograms moving at 20. meters per second colides with ball B of imknnown mass moving at 10 meters per scond in the same direction. After the collision, ball A movies at 10. meters per second and ball B at 15 meters per second, both still in the same direction. What is the mass of ball B
Answer:
10 kg
Explanation:
Use law of conservation of momentum
momentum of system before collision = momentum of system after collision
5 kg * 20 m/s + x kg * 10 m/s = 5 kg * 10 m/s + x kg * 15 m/s
100 + 10x = 50 + 15 x
50 = 5x
x = 10 kg
a child swings on a playground swing with a 2.5 m long chain. what is the period of the child's motion. what is the frequency of the vibration
The period of the child's motion is 3.171 seconds. The frequency of the vibration is 0.315 Hz.
The time period is 3.171 seconds.
2 × [tex]\pi[/tex] [tex]\frac{L}{g} ^{\frac{1}{2} }[/tex]
= 3.171 seconds
The frequency is the reciprocal of the time period.
f = 1 ÷ 3.171
= 0.315Hz
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When a rubber rod is rubbed with wool, the rod becomes negatively charged. What can you conclude about the magnitude of the wool's charge after the rubbing process
The wool must start out negatively charged before becoming positively charged after donating its electrons to the rubber rod.
What happens when wool is rubbed on a rubber rod?A rubber rod becomes negatively charged when wool is brushed against it, and the magnitude of the charge on the wool is equal to the charge on the rod. By applying the same amount of negative charge to the rod, the wool becomes positively charged.
Why does a polythene rod become negatively charged when it is brushed against wool?Electrons generate energy while rubbing a polythene rod with a duster because of the friction. When they have enough energy, electrons can escape from an atom and "rub off" onto a polythene rod.
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What is the magnitude of the passenger's acceleration as she passes through the lowest point in her circular motion
The magnitude of the passenger's acceleration as she passes through the lowest point in her circular motion is the centripetal acceleration.
This is given by the equation a = v^2 / r, where v is the velocity of the passenger and r is the radius of the circle. Therefore, the magnitude of the passenger's acceleration is equal to the square of her velocity divided by the radius of the circle.
For example, if the passenger is travelling at 10 m/s in a circle with a radius of 5 m, then her centripetal acceleration would be 10^2 / 5 = 20 m/s^2.
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In designing rotating space stations to provide for artificial-gravity environments, one of the constraints that must be considered is motion sickness. Studies have shown that the negative effects of motion sickness begin to appear when the rotational motion is faster than approximately 1.65 revolutions per minute. On the other hand, the magnitude of the centripetal acceleration at the astronauts' feet should equal the magnitude of the acceleration due to gravity on earth. Thus, to eliminate the difficulties with motion sickness, designers must choose the distance between the astronaut's feet and the axis about which the space station rotates to be greater than a certain minimum value. What is this minimum value
This minimum value is 223.9 m.
The attribute of motion of an item travelling a circular path is characterised as centripetal acceleration. Centripetal acceleration is defined as any item travelling in a circle with an acceleration vector pointing towards the centre of that circle.
The acceleration felt when moving in a uniform circular motion is known as centripetal acceleration. It always points toward the rotational centre. It is parallel to the linear velocity. The centripetal force is measured in an inertial frame of reference, whereas the centrifugal force is measured in a non-inertial frame of reference. Centripetal force is directed towards the axis of rotation or the centre of curvature, whereas centrifugal force is directed away from the circle's centre.
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Spring constant problem. What is the formula for k in terms of the period T and the mass?
A. K= 4pi^2m/T^2
B. K= 4*pi^2/mT^2
C. K= 2*pi*m/T
The formula for k in terms of the period T and the mass m in spring constant problem is k = 4π²m/T². The formula applies to a spring-mass system.
What is a spring-mass system?A spring-mass system is a system where a mass of object is attached at the free end of the spring. The system will perform a simple harmonic motion where the oscillations occur periodically. The period of any moving object in that motion can be counted as follows
T = 2π√(m/k)
Where
T = period (s)m = mass of object (kg) k = spring constant (N/m)Find the formula for the spring constant k in terms of T and m!
We use the formula above to find k.
T = 2π√(m/k)
√(m/k) = T/2π
m/k = (T/2π)²
m/k = T²/4π²
k = 4π²m/T²
Hence, the formula for the spring constant in the spring-mass system is k = 4π²m/T². The answer is A.
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13. Shadrach, a form one student performed an experiment to investigate surface tension. he poured some water on a trough and allowed it to settle he then took a razor blade and gently placed it on the surface of the water in an attempt to make it float but failed give two possible reasons why the experiment failed
Answer:
this because the surface tension was lowered by using an impurity or rising the temp of the water
1. When conducting a test on what kind of music increases the growth of plants, all of the following would fail to meet to fair test standard EXCEPT (1 point)
using different kinds of plants.
giving some plants more water than others.
exposing the plants to different types of music.
using nutrient-rich soil for one and lesser soil for others.
2. Engineering uses scientific thinking to solve real-world problems. (1 point)
True
False
3. What does it mean to test a hypothesis? (1 point)
Pass a quiz on other scientists’ results
Analyze only the results from scientific sources
Not make assumptions about how an experiment will turn out
See if the results of an experiment are what the scientist predicted
Using a specific kind of raga played over a gramophone and loudspeakers, Singh replicated the experiment with field crops. Crop sizes grew to 25–60% over the average for the region. According to Singh, the violin's music has the biggest impact on plant development.
What interactions do nutrients have with one another in the soil?Nutrient interactions in the soil, which alter the availability of nutrients to plants, illustrate the range of interactions that may take place. High concentrations of one nutrient in the soil can conflict with the availability and absorption of other nutrients.
Which soil has the greatest concentration of nutrients?Loamy soils, which combine sand, clay, and silt particles, are thought to be the most fertile form of soil.
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What are the coefficients in the equation for the magnetic field component of the wave after the period increases by a factor of 2.70
The coefficient of magnetic field was found to be Bmax, k = 1.53x10¹¹, 1.14x10⁴,3.43x10¹² T,1/m,rad/s.
Define magnetic field ?Moving charges, wave action, and magnetic materials all experience the magnetic influence of a magnetic field, which is a vector field. A force perpendicular to the charge's own velocity and the magnetization is applied to it when it moves through a magnetic field. A permanent magnet's magnetic field draws on ferromagnetic materials like iron and repels or attracts other magnets. The three additional magnetic effects of diamagnetism, electromagnetism, and biomagnetism also cause tiny forces to be exerted on "nonmagnetic" materials by a nonuniform magnetic field, although these forces are frequently so minute , they can only be detected using laboratory apparatus. Electric currents used in electromagnets and time-varying electric fields produce magnetic fields that surround magnetized objects.
Magnetic field maximum = 1.531011,
The wave number is 1.14104.
In teslas, the angular frequency is 3.431012 T.
meters-1 in reverse,
rad/s = radians per second
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Find the y-component of this vector: 22.3 m 77.1° Remember, angles are measured from the +x axis.
Answer:
-21.7m
Explanation:
To find the y-component of the vector, we need to find the vertical displacement from the point at the bottom of the vector to the x-axis (or its y-coordinate value).
To calculate this we can create a triangle with the vector as the hypotenuse, the y-axis as the second side and draw an imaginary line from the end of the vector directly horizontally across to the y-axis.
We can use the given angle to find the angle between the y-axis and the angle. Since the angle of a quadrant is 90 degrees, the angle within our triangle must be [tex]90-77.1=12.9[/tex] degrees.
From here, to find the length of the side on the y-axis we can use the trigonometric cos function.
[tex]cos \theta =\frac{adjacent side}{hypotenuse}[/tex]
Therefore [tex]cos 12.9=\frac{y-component}{22.3}[/tex] and [tex]ycomponent = 22.3cos12.9[/tex]
This gives us a value of 21.7 (3.s.f) for our y-component.
Finally, the y-component is also a vector so it also needs a direction. Therefore like its coordinate, its value will be -21.7m.
Drag each label to the correct location.
Identify the boundary type that is being described.
Transform boundaries, continental convergent boundaries, and oceanic convergent boundaries are the boundaries that are recorded.
How do transform boundaries work?A transform boundary is an area of a fault where two surfaces slide horizontally past one another.
What exactly is a convergent ocean boundary?An oceanic convergent boundary is the collision of two oceanic lithosphere-based plates. Even if this boundary contained the same kind of lithosphere, one of the plates would subduct beneath the other.
Transform boundaries are where crust is neither created nor destroyed at this boundary.In the region where the plates come into contact, movement along this boundary causes crumpling, lifting, and folding of the earth's crust—the continental convergent boundary.At this boundary, also known as the oceanic convergent boundary, the subduction zone frequently forms an arc of volcanic islands.To learn more about Transform boundaries here:
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An electric dipole is formed from +/- 5. 0 nC point charges spaced 3. 0 mm apart. The dipole is centered at the origin, oriented along the y-axis. Part A What is the electric field strength at point (x, y) = (25 mm, 0 cm)? Express your answer using two significant figures. Part B What is the electric field strength at point (x, y) = (0 cm, 25 mm)? Express your answer using two significant figures
The electric field strength at point (x,y) = ( 25 mm ,0cm) is =16321.0769 N/C
The electric field strength at point (x,y) = (0cm, 25 mm) is =35321.58999 N/
What is meant by electric strength?An insulating substance can withstand a certain voltage at its electric strength before losing its ability to insulate. The thickness of the insulating material, as well as the test technique and conditions, will all affect the value for the electric strength.To avoid flash over before breakdown, samples with a thickness of 2mm or more are often examined in oil. Once the breakdown voltage and sample thickness have been determined, the dielectric strength may be estimated. Dielectric strengths for the majority of polymers range from 10 to 30 kV/mm, which is a respectable value.A material's capacity to withstand large voltage swings without experiencing current breakdown is measured by its dielectric strength.To learn more about electric strength refer to:
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The electric field strength at point (x,y) = ( 20 mm ,0cm) is =16321.0769 N/C
The electric field strength at point (x,y) = (0cm, 20 mm) is =35321.58999 N/C
What distinguishes an electric field from an electric field of strength?A vector is a quantity with both a magnitude and a direction, like the electric field. The vector's magnitude corresponds to the electric field intensity.
What do you mean by electric field?Each point in space has an electric field associated with it when there is charge present in any form. E, often known as electric field strength, electric field intensity, or just the electric field, is a mathematical constant that expresses the strength and direction of an electric field.
Given:
Charge = 5.0 nC
x = 25 mm, y = 0 cm
The electric field at any given point of the dipole is given as:
E= (KP) ÷ (r^2 + a^2)^3/2
Where:
K = 9x10^9 Nm^2/c^2 (coloumb constant)
P = (0.003) (5x10^-9c) which is the movement of the dipole
(0.003) is arrived at when mm is converted to m. 3.0 mm space apart was converted to a meter.
r= the point, in the question above is 20mm = 0.02m
Now, the electric field (E),
E = (KP) ÷ (r^2 + a^2)^3/2
= (9x10^9 Nm^2/c^2) (0.003 m) (5x10^-9c) ÷ [ (0.02m)^2 + (0.003)^2]^3/2
= 0.135 ÷ (8.271513x10^-6)
=16321.0769 N/C
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If an amount of heat Q is needed to increase the temperature of a solid metal sphere of
diameter D from 4°C to 7°C, the amount of heat needed to increase the temperature of a solid
sphere of diameter 2D of the same metal from 4°C to 7°C is
A. 8Q
B. 40
C. 20
D. Q
As a result, X heat required = 27Q is the amount of heat needed to raise the temperature.
Calculationfirst case
Q = Specific Heat * Density of Sphere* (4/3*pi*D^3) * (7-4) -1
Second case
X = Specific Heat * Density of Sphere* (4/3*pi*(3D)^3) * (7-4) -2
Dividing 1 and 2 we get
Q/X = 1/27
27
How does the heat equation's Q work?where Q is the amount of heat that is transported to or from the item, m is the object's mass, C is the material's specific heat capacity, and T is the resultant temperature change of the object.
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What is the SI unit of momentum?
Answer:
kgm/s(-1)
Explanation:
the units of momentum will be the product of the units of mass and velocity. Mass is measured in kg and velocity in ms-1, therefore, the SI unit of momentum will be kgm/s(-1).
Estimate the length of a human lifetime, in seconds. Consider a life expectancy of 80 years. Express your answer in seconds.
A human lifetime of 80 years is equal to 29,200,000 seconds.
What is human lifetime?The average human lifetime is typically 79 years, although this can vary greatly depending on various factors such as lifestyle, genetics, and environment. Generally, most people can expect to live anywhere from their late 60s to their mid-80s. However, some people live much longer, and some much shorter. Even within the same family, the range of lifespans can be quite varied.
This can be calculated by multiplying the number of seconds in a day (86,400) by the number of days in a year (365) by the number of years in a human lifetime (80).
86,400 x 365 x 80 = 29,200,000 seconds
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How to calculate distance of a ball rolling down a ramp?
With the equation: it is possible to determine t for each of the four ramp segments. t 1 = t 2 - t 1, and t 2 = t 4 - t 3 Likewise, x is the distance between the designated spots for times 3 and 4, respectively.
Although the gravitational force is same when you roll the ball down a ramp, it is no longer in free fall. Now, it has a vector structure. Knowing the downward force and the ramp's incline makes the problem appear to be Pythagorean. Keep in mind that the ball will go at the same speed at the bottom of the ramp as it would have. A ball begins rolling down a ramp with constant acceleration at time zero (t=0), initially at rest. It moves 1 foot between t=0 and t=1 seconds, you see. How much movement occurs between t = 1 second and a.
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A golf ball rolls up a hill toward a miniature-golf hole. Assign the direction toward the hole as being positive. a. If the ball starts with a speed of 2.0 m/s and slows at a constant rate of 0.50 m/s2, what is its velocity after 2.0 s
The velocity of the ball is 1 m/s which starts with a speed of 2.0 m/s and slows at a constant rate of 0.5 m/s².
According to the data given:
Speed of the ball: 2.0 m/s
Acceleration: 0.50 m/s²
Time is 2.0 s
The ball starts rolling up the hill with a speed of 2m/s (u=2 m/s²) and it decelerates at a constant rate of 0.5 m/s² (a = -0.5 m/s², minus because it decelerates).
The equation for calculating velocity is:
v = u + a x t, t represents time here
So, ball's velocity after 2 seconds is:
v = 2m/s + (-0.5m/s² x 2s)
v = 2m/s + (-1m/s)
v = 1m/s
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Mercury thermometer is not suitable to measure the temperature of very cold place. Why?
The use of a mercury thermometer is not suitable for the purpose of determining the temperature of extremely cold ice because at such low temperatures, mercury transforms into a translucent state, making it impossible to read.
Another reasons why mercury thermometer is not suitable to measure the temperature of the very cold place are:
Since mercury freezes at a temperature of -38.83 degrees Celsius, a mercury thermometer will not work in extremely cold temperatures. We are unable to use a thermometer that contains mercury at low temperatures because the glass could shatter at those temperatures.The body whose temperature we are measuring with the thermometer does not radiate heat in the opposite direction.When exposed to low temperatures, mercury takes on a transparent appearance, making it more challenging to obtain accurate readings.To learn more about mercury thermometer, click here:
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The mass of the Earth is 5.972 x 1024-kg and its orbital radius is an average of 1.496 x 1011 meters. Calculate its linear momentum. (Hint: It takes the Earth 365 days to complete one orbit.)
The linear momentum of the earth when mass and orbital radius are given is calculated to be 17.8 × 10²⁸ kg m/s.
The orbital radius (r) of earth is 1.496 × 10¹¹ m. So, the distance covered by one rotation is,
Distance = 2 π r = 2π (1.496 x 10¹¹) m
365 day when converted into seconds is, 365 × 24 × 60 ×60 s
So, the period of one rotation is 3.15 × 10⁷ s.
The velocity of earth (v) = distance/time = [2π (1.496 × 10¹¹)]/ 3.15 x 10⁷ = 298840 m/s
Linear momentum = mass × velocity = 5.972 × 10²⁴ kg × 298840 m/s = 17.8 × 10²⁸ kg m/s
Therefore, the linear momentum of earth is 17.8 × 10²⁸ kg m/s
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Suppose that the railcar passes by a horn that is emitting a sound with frequency f. Which of the following describes the frequency f PS-10-1-prime.gif that the person on the railcar hears?
A. f PS-10-1-prime.gif > f before passing the horn, f PS-10-1-prime.gif < f after passing it
B. f PS-10-1-prime.gif < f before passing the horn, f PS-10-1-prime.gif > f after passing it
C. f PS-10-1-prime.gif = f before passing the horn, f PS-10-1-prime.gif = f after passing it
D. f PS-10-1-prime.gif > f before passing the horn, f PS-10-1-prime.gif > f after passing it
F PS-10-1-prime.gif > f before passing the horn, f PS-10-1-prime.gif < f after passing it describes the frequency f PS-10-1-prime.
Hence, Option A is correct.
The Doppler effect causes the frequency heard by the railcar passenger prior to passing the horn to be higher than the real frequency of the sound released, whilst the frequency heard after passing the horn is lower than the actual frequency. This is why the answer to this question is A. A railcar is a self-propelled passenger-carrying railroad vehicle. A train with a single coach and a driver's cab at one or both ends is typically referred to as a "railcar." Such vehicles are referred to as "railmotors" by several railway companies, including the Great Western.To know more about railcars here
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an explorer walks 22 km north, then 47 km at 55o south of east. what is her resultant displacement?
Answer:
Below
Explanation:
Vertical components
22 - 47 sin 55 = - 16.5 km
Horizontal components
47 cos 55 = 26.96
Use Pythagorean Theorem
d^2 = (-16.5)^2 + 26.96^2
d = 31.6 km