The equation for centripetal acceleration can be written as follows : a = v² / r = (rw)² / r = r × w² , the relationship between angular velocity and linear velocity : v = r × w
Evaluation :A.The following equation can be used to calculate the centripetal acceleration during a circular motion:
Consider a particle of mass m traveling at an angular velocity w in a circle of radius r. The particle's velocity is calculated as v = rw, where v is its linear velocity.
The net force exerted on the particle can be calculated using Newton's second law as follows:
F = m × a,
where a is the particle's acceleration.
The centripetal force is the net force exerted on the particle, which must be directed toward the circle's center.
As a result, the equation for centripetal acceleration can be written as follows:
a = v² / r = (rw)² / r
= r × w²
This equation is usually written as:
a = r × w².
What is the Third Law of Motion of Newton?According to Newton's third law of motion, there is an equal and opposite reaction to every action. The gravitational force exerted by the moon in this system is the same as that exerted by the Earth in this system. Newton's third law of motion, also known as the action-reaction pair of forces, describes this phenomenon.
B) (i) The equation below describes the gravitational force that is exerted on the moon:
F =G × (m_earth × m_moon) / r²
G is the gravitational constant, m_earth is the Earth's mass, m_moon is the moon's mass, and r is the distance between the Earth's and moon's centers.
(ii) We need to divide the circumference of the moon's circular path by its linear velocity in order to determine the time it takes for the moon to complete one complete revolution around the Earth:
C = 2 × pi × r
v = C / T
where C is the circumference of the moon's circular path, r is the circular path radius, T is the time it takes to complete one revolution, and v is the moon's linear velocity.
We obtain: by substituting the values:
C = 2 × pi × 400000 km = 800000 × pi km
v = C / T = (800000 × pi km) / T
We need to know the moon's angular velocity in order to calculate the time. These numbers indicate the relationship between angular velocity and linear velocity :
v = r × w
Substituting the values, we get:
T = C / (r × w)
= (800000 × pi km) / (400000 km × w)
= 2 × pi / w
Since the angular velocity w is not specified, it is not possible to determine how long it would take for the moon to complete one complete revolution around the Earth.
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in parallel association, should the equivalent resistance be smaller or bigger than any individual resistor in the circuit? justify your answer.
The equivalent resistance is always less than the smallest resistor in the parallel network.
Then the inverse of the equivalent resistance of two or more resistors connected in parallel is the algebraic sum of the inverses of the individual resistances.
If the two resistances or impedances in parallel are equal and of the same value, then the total or equivalent resistance, [tex]R_t[/tex] is equal to half the value of one resistor. That is equal to R/2 and for three equal resistors in parallel, R/3, etc.
Note that the equivalent resistance is always less than the smallest resistor in the parallel network so the total resistance, [tex]R_t[/tex] will always decrease as additional parallel resistors are added.
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germanium is a matalloid. this means it has the same properties as a_ and a_
Germanium is a metalloid. this means it has the same properties as a metal and a nonmetal.
What is metalloid?In chemistry, a chemical element that forms a simple substance with properties in-between those of a conventional metal and a typical nonmetal is referred to as a metalloid.
The name is typically used to describe a collection of six to nine elements (boron, silicon, germanium, arsenic, antimony, tellurium, and maybe bismuth, polonium, and astatine) that can be found close to the main block of the periodic table, also known as the P-block.
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given to one significant figure, the current is 2 a. does this value fall within the 2% tolerance range?
yes, this value fall within the 2% tolerance range.
What does electrical tolerance mean?
The tolerance of a resistor's resistance measures how much off from its stated resistance you can anticipate the actual measured resistance to be. The tolerance for a gold tolerance band is 5%, for a silver tolerance band it is 10%, and for no band at all it is 20%.
The term "tolerance range" refers to the numerical range that is added to the "threshold value" to indicate the range where observed concentrations beyond the "threshold value" are acceptable due to known analytical error and do not undermine the compliance assumption. The range for the 2% tolerance is 2.20144927 A to 2.29130435 A. The current, which is given to one significant figure, is 2 A.
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A system releases 300 J of heat and has 650 J of work done it by the surroundings. What is the change in the internal energy of the system
Change in internal energy of the system, that releases 300 J of heat and has 650 J of work done it by the surroundings is 350J
Internal energy U of a system or a body with well defined boundaries is the total of the kinetic energy due to the motion of molecules and the potential energy associated with the vibrational motion and electric energy of atoms within molecules. Internal energy also includes the energy in all the chemical bonds.
ΔU = change in internal energy
W = 650J (On System)
q = -300J
ΔU = q+W
ΔU = -300J+650J
= 350 J
Thus, the change in internal energy is 350J.
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as the sun angle , the amount of energy reaching the surface . question 16 options: increases; decreases increases or decreases; remains constant increases; increases decreases; increases
As the sun angle decreases, the amount of energy reaching the surface decreases.
The sun angle refers to the angle between the sun and the horizontal surface. The higher the sun angle, the more direct the sun's rays are reaching the surface, which results in a higher amount of energy.
On the other hand, when the sun angle is lower, the sun's rays are more spread out and less direct, leading to a decrease in the amount of energy reaching the surface.
Additionally, the sun angle changes throughout the day as the earth rotates and also changes seasonally as the earth orbits the sun. Understanding the relationship between the sun angle and the amount of energy reaching the surface is important for various applications, including solar energy generation and building design to optimize energy use.
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Your question seems incomplete, but I suppose the question was:
"as the sun angle _______, the amount of energy reaching the surface ______.
question options: increases; decreases increases or decreases; remains constant increases; increases decreases; increases."
describe how you would use an uncalibrated force probe and the springs in question 1 to develop a quantitative
By using two known mass pans or objects, we can create the calibrated force probe using the uncalibrated force probe and springs that are already provided.
What occurs when an object is subjected to force from both sides?Newton's third law states that if object A exerts a force on object B, then object B must exert a force of equal size and in the opposite direction on object A. This law serves as an example of how forces always exist in pairs in nature and how no body can exert a force without also experiencing one.
What distinguishes a balanced force from an imbalanced force?When forces are balanced, they cancel one another out, causing the item they are acting on to remain in motion. conflicting forces don't cancel out each other and cause the thing they are acting on to modify its motion.
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there is an electric space heater that operates at 120v. two heating elements are used with resistances r1 and r2. they can be operated in parallel, series, or separately. the highest power setting is 1440w and the lowest is 320w. what are the values of r1 and r2? what are the intermediate power settings?
The values of R1 = 11.27 ohms and R2 = 60 ohms. P = 201.6W In this way, by adjusting the configuration of the heating elements and the resistance values, a range of power settings can be achieved.
A) To determine the values for R1 and R2, we need to first find the maximum and minimum current values for the heating elements. We can use Ohm's law to calculate the current, I, in the circuit:
I = V / R, where V is the voltage and R is the resistance.
For the maximum power setting of 1280W, we have:
I_max = P_max / V = 1280W / 120V = 10.67A
For the minimum power setting of 240W, we have:
I_min = P_min / V = 240W / 120V = 2A
To calculate the resistance of each heating element, we can use Ohm's law again:
R = V / I
For R1, using the maximum current value:
R1 = V / I_max = 120V / 10.67A = 11.27 ohms
For R2, using the minimum current value:
R2 = V / I_min = 120V / 2A = 60 ohms
B) The intermediate power settings can be achieved by varying the resistance of the heating elements. By connecting the heating elements in series or parallel, the total resistance of the circuit can be adjusted, which will change the current in the circuit and thus the power.
For example, to achieve a power setting of 720W, we can connect the heating elements in series, which will give us a total resistance of 11.27 + 60 = 71.27 ohms. Using Ohm's law, we can then calculate the current:
I = V / (R1 + R2) = 120V / 71.27 ohms = 1.68A
And the power:
P = I × V = 1.68A × 120V = 201.6W
In this way, by adjusting the configuration of the heating elements and the resistance values, a range of power settings can be achieved.
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We are designing an electric space heater to operate from 120VDC. Two heating elements with resistance R1 and R2 are to beused that can be operated in parallel, seperately, or inseries. The highest power is to be 1280W, and the lowestpower is to be 240W. Draw a cicuit diagram.
A) What are the values needed for R1 and R2?
B) What intermediate power settings are available?
what is the angular momentum of a thin loop of radius 2m and mass 1 kg, rotating at a velocity of 4 rad/s?
The angular momentum of a thin loop of radius 2m and mass 1 kg, rotating at a velocity of 4 rad/s is 8 kg·rad/s
What is angular momentum?
The rotational equivalent of linear momentum is angular momentum, often known as moment of momentum or rotational momentum. It is a conserved quantity, meaning that the total angular momentum of a closed system stays constant, making it a significant physical quantity. Both the direction and the amplitude of the angular momentum are always conserved. The functional characteristics of motorbikes, frisbees, bullets, and gyroscopes are due to the conservation of angular momentum.Angular momentum conservation also explains why storms occur.Given : m=1 kg w=4 rad/s r=2 mm
So, angular momentum L=mwr
⟹ L=1×4×2
= 8 kg rad /s
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why might the unemploymeht rate cometimes increase when the pace of job creation exceeds the increase in population
The unemployment rate is a measure of the percentage of the labor force that is currently unemployed and actively seeking employment. When the pace of job creation exceeds the increase in population, it would be expected that the unemployment rate should decrease, as there are more job opportunities available for job seekers.
It's important to note that unemployment rates are often subject to seasonal fluctuations, with certain times of the year seeing more job losses than others. For example, there may be a decrease in employment in certain industries during the winter months, or during the summer months when school is out. These seasonal fluctuations can lead to temporary increases in unemployment rates, even if job creation is occurring.
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A weight hangs motionless from a spring, with a spring constant of 75 N/m. The spring stretched from its original length by 0.333 meters. How much weight hangs from the spring?
Group of answer choices
15 N
45 N
35 N
25 N
Answer:
25 N
Explanation:
You can just observe the units of the numbers given to know that
75 N/m * .333 m = 25 N
reflects from the mirror, and reaches point b. how far below the top edge does the ray strike the mirror?
The distance below the top edge at which the ray strikes the mirror depends on the angle of incidence.
What is ray strikes?Ray tracing is a computer graphics rendering technique for generating an image by tracing the path of light as it interacts with an object or scene. Ray tracing is capable of producing a very high degree of visual realism, including effects like reflections, refractions, and shadows.
The distance below the top edge at which the ray strikes the mirror depends on the angle of incidence. The angle of incidence is the angle between the incident ray and the normal to the mirror surface. The distance below the top edge can be found using the law of reflection which states that the angle of incidence is equal to the angle of reflection. If we denote the angle of incidence as θ and the distance below the top edge as h, then we can calculate h using the tangent of θ.
h = tan(θ) * distance from point a to the top edge of the mirror
Therefore, the distance below the top edge at which the ray strikes the mirror depends on the angle of incidence.
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A rhinoceros is at the origin of coordinates at time t1=0. For the time interval from t1 to t2= 10.0s, the rhino's average velocity has x-component -3.20 m/s and y-component 5.40 m/s.
*At time t2=10.0s what is the x-coordinate of the rhino?
*At time t1=10.0s what is the y-coordinate of the rhino?
*How far is the rhino from the origin?
At t2=10.0s, the x-coordinate of the rhino is -32 and at time t1=10, the y-coordinate of the rhino is 64.8m. The rhino is 72.27 m.
Given:
x-component of avg. velocity is 3.20 m/s.
x-component of avg. velocity 5.40 m/s.
initial position of rhino, (x1,y1)= (0,0)
initial time, t1=0s
final time, t2=12s
a) As we know that average velocity is total displacement per unit time.
Position of x-coordinate of the rhino:
Vx= x2/t2
-3.20= x2/10
x2= -32m
Position of y-coordinate of the rhino:
Vy= y2/t2
5.40= y2/12
y2= 64.8 m
Now the distance from the origin:
s=[tex]\sqrt{x2^{2} +y2^{2} }[/tex]
s=[tex]\sqrt{(-32)^{2} } + (64.8)^{2} \\[/tex]
s=[tex]\sqrt{1024}+ 4199.04[/tex]
s=72.27 m
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a 66-kg skier starts from rest at the top of a 1200-m -long trail which drops a total of 240 m from top to bottom. at the bottom, the skier is moving 11 m/s . part a how much energy was dissipated by friction?
The energy dissipated by friction is approximately 15,840 J.
The energy dissipated by friction can be calculated as the difference between the initial potential energy and the final kinetic energy.
The initial potential energy can be calculated using the formula:
PE_initial = mgh
where m is the mass of the skier, g is the acceleration due to gravity, and h is the height difference from the top to the bottom of the trail.
The final kinetic energy can be calculated using the formula:
KE_final = 0.5m[tex]v^{2}[/tex]
where v is the final velocity of the skier at the bottom of the trail.
Subtracting the final kinetic energy from the initial potential energy gives the energy dissipated by friction:
E_dissipated = PE_initial - KE_final
Using the given values, the energy dissipated by friction can be calculated as approximately:
E_dissipated = (66 kg)×(9.8 m/[tex]s^{2}[/tex])×(240 m) - 0.5×(66 kg)×[tex](11 m/s)^{2}[/tex] = 15,840 J.
Therefore, the energy dissipated by friction is approximately 15,840 J.
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If a nearsighted person has a far point df that is 3. 50m from the eye, what is the focal length f1 of the contact lenses that the person would need to see an object at infinity clearly? Express your answer in meters. If a farsighted person has a near point that is 0. 600m from the eye, what is the focal length f2 of the contact lenses that the person would need to be able to read a book held at 0. 350m from the person's eyes? Express your answer in meters
(-3.5 m) (-0.22man) The focal length f1 of the lenses contacts infinity clearly if a nearsighted person has a distant point df that is 3. 50 m from the eye.
What is focal distance vs focal length?The focal length of a lens, when focussed at infinity, is the distance between its rear nodal point and the focusing plane (where the camera's sensor is located). This is a characteristic of the lens that controls both the angle of vision and the perspective.
The focal length is the distance from the principal focus to the concave lens' optical centre.
The magnification at which a lens pictures far-off objects depends on its focal length. It is equivalent to the separation between the image plane and a pinhole that can capture distant objects that are the same size as the target lens.
Therefore, The sign convention dictates that the focal length of a concave lens always is negative.
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suppose that 2 j of work are needed to stretch a spring from its natural length of 30 cm to a length of 42 cm. how much work (in j) is needed to stretch it from 35 cm to 40 cm?
The work needed to stretch the spring from 35 cm to 40 cm is 0.35 Joule. The result is obtained by using the formula for potential energy of a spring.
How to count the potential energy of a spring?The potential energy can be expressed as
P.E = ½kx²
Where
k = spring constantx = spring displacementSuppose that 2 J of work are needed to stretch a spring from its natural length of 30 cm to a length of 42 cm. Find work (in Joule) is needed to stretch it from 35 cm to 40 cm!
We have P.E₁ = 2 J when
x₁ = (42 - 30) cm
x₁ = 12 cm
x₁ = 0.12 m
The spring constant is
P.E₁ = ½kx₁²
2 = ½k(0.12)²
4 = 0.0144k
k = 277.77
k ≈ 278 N/m²
When it stretches for
x₂ = (40 - 35) cm
x₂ = 5 cm
x₂ = 0.05 m
The work needed will be
P.E₂ = ½kx₂²
P.E₂ = ½(278)(0.05)²
P.E₂ = 139(0.0025)
P.E₂ = 0.35 Joule
Hence, to stretch it from 35 cm to 40 cm, the work needed is 0.35 Joule.
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based on your observations from the simulation, how would you characterized the relationship of the gravitational force between a planet and its moon?
The relationship between the gravitational force between a planet and its moon can be characterized as a mutual attraction between two massive objects.
The force of gravity between the planet and its moon is proportional to the product of their masses and inversely proportional to the square of the distance between their centers. This means that the stronger the mass of the planet and its moon, the stronger their gravitational pull will be towards each other, and the farther apart they are, the weaker the force of gravity between them. The gravitational force between a planet and its moon creates the centripetal force that keeps the moon in its orbit around the planet. In this sense, the gravitational force between a planet and its moon can be seen as the underlying force that shapes the architecture of the solar system.
In addition to the gravitational force, other factors such as the planet's rotation and the presence of other bodies in the solar system can also influence the relationship between a planet and its moon. For example, the gravitational pull of other planets in the solar system can cause the moon's orbit to become unstable over time, potentially leading to significant changes in its orbit or even the formation of new moons.
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a student has built a 10-cm-long pinhole camera for a science-fair project. she wants to photograph her friend, who is 180 cm tall, and have the image on the film be 5 cm high. how far should the front of the camera be from her friend
The distance between both the student's friend and camera is d = 360 cm or 3.6 m.
What is the structure of light?Light not only moves in waves; it also moves with a flow of small particles. Scientists call these tiny particles of light as photons. The packets contain the energy which makes up the energy of the light. The scientists measure something called the relative energy for different types of light.
The light traveling in any one direction in a straight line is called a ray of light. Meanwhile, a group of light rays given out from a source is called a beam of light.
In this case, camera’s height was 10 cm.
The height of student's friend was 180 cm.
That picture on camera has a length of 5 cm.
Now, let d represent the space among both the friend and device's face. Its identical triangles as in figure attached show how the lengths were connected.
So, to find out the distance, we can use the following equation:
5 cm / 10 cm = 180 cm / d
d = 10 cm * 180 cm / 5 cm
d = 360 cm
d = 3.6 m
Hence, the distance among both the friend and device's face is 360 cm or 3.6 m.
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the equation of a transverse wave on a string is the tension in the string is 29n. what is the wave speed? findthe linear density fo this string
Wave speed of transverse wave is a)30m/sec and the linear density of the string is 0.0322kg/m.
In physical science, a transverse wave is a wave whose motions are opposite to the heading of the wave's development. This is rather than a longitudinal wave which goes toward its motions. Water waves are an illustration of cross over wave.
A straightforward model is given by the waves that can be made on an even length of string by securing one end and moving the opposite end all over. One more model is the waves that are made on the layer of a drum. The waves engender in headings that are lined up with the layer plane, however each point in the actual film gets dislodged all over, opposite to that plane. Light is one more illustration of a cross over wave, where the motions are the electric and attractive fields, which point at right points to the ideal light beams that depict the bearing of engendering.
We know that wave speed is the ratio of angular frequency and string stiffness constant.
Here,we can see that angular freqnecy(ω)=600/sec and stiffness constant(k)-20m/sec.
So,wave speed=600/20=30m/sec.
Now,with this wave speed,we can find the linear density of string which is
linear density(μ)=T/v²=29/30²=29/900=0.032Kg/m.
Hence,wave speed and linear density are 30m/sec and 0.032kg/m respectively.
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(Complete question) is:
The equation of a transverse wave on a string is
y=(2.0 mm)sin[(20m⁻¹ )x−(600/sec )t]
The tension is the string is 29 N. (a) What is the wave speed? (b) Find the linear density of this string in grams per meter.
Mosa and Billy are picked up by a red blood cell, who takes them on their journey. What is the job of the red blood cell? What system is it a part of
To provide the cells with new oxygen and remove carbon dioxide. the circulatory system's component.
What connections exist between the circulatory and digestive systems?Before being circulated to other parts of your body for storage or use, the majority of the nutrients in your meal are absorbed in your small intestine. Nutrients are helped to cross the stomach lining and enter the bloodstream by a certain type of cell.
When Billy first enters the bed and breakfast, what does he see?Billy notices that he wants a BED and BREAKFAST first. He enters and notices a blazing FIRE, a baby grand piano, a large sofa, and cozy ARMCHAIRS. The dog and parrot, in his opinion, are symbols of friendliness and welcome.
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can the internal forces within a soccer ball produce an impulse on the soccer ball to change its momentum why or why not
The internal forces within a soccer ball can produce an impulse on the soccer ball to change its momentum. When the ball is struck by a player's foot, the internal forces within the ball cause it to compress and rebound.
What is the compress ?Compression is the process of reducing the size of a file or data set by encoding information using fewer bits. It is used to reduce the amount of data sent over a network or stored on a hard drive. Compression is generally done by compressing data into smaller data sets, which are then decompressed when needed. Compression can also be used to reduce the size of images, allowing them to be stored or transmitted more quickly. Compression algorithms such as lossless and loss can also be used to reduce the amount of data loss when transmitting or storing data.
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the reaction to the force in part b is a force of magnitude _____, exerted on the _____ by the _____. its direction is _____.
A. A downward force of magnitude 5 N is exerted on the book by the force of gravity.
B. An upward force of magnitude 5 N is exerted on the book by the table.
C. The reaction to the force in Part B is a force of magnitude 5 N, exerted on the table by the book. Its direction is downward.
According to Newton's third law of motion, the book exerts a force of 5 N on the table in a downward direction, and the table exerts an equal and opposite force of 5 N on the book in an upward direction. The upward force exerted by the table on the book is also 5 N, since the two forces are equal in magnitude and opposite in direction.
The reaction to the upward force exerted by the table on the book is a force of 5 N exerted by the book on the table in a downward direction, again in accordance with Newton's third law. The direction of this force is opposite to that of the upward force exerted by the table on the book.
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--The complete question is, A book weighing 5 N rests on top of a table.
A. A downward force of magnitude 5 N is exerted on the book by the force of
B. An upward force of magnitude _____ is exerted on the _____ by the table.
C. The reaction to the force in Part A is a force of magnitude _____, exerted on the _____ by the _____. Its direction is _____.--
in a single-family dwelling, how is overcurrent protection for branch circuits required to be provided? see nec 210.20.
Having the circuit breakers or the fuses, also having the ampacity as well that shouldn't be less than overcurrent device to be rated.
A circuit breaker is an electrical safety device designed to protect an electrical circuit from damage caused by overcurrent. Its basic function is to interrupt current flow to protect equipment and to prevent the risk of fire. Unlike a fuse, which operates once and then must be replaced, a circuit breaker can be reset to resume normal operation.
Circuit breakers are made in varying sizes, from small devices that protect low-current circuits or individual household appliances, to large switchgear designed to protect high voltage circuits feeding an entire city.
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a block weighing 55 lb is being pushed by a 13 lb force on a smooth surface. determine the acceleration of the block rounded to three significant figures.
On a flat surface, a 55 kg block is being dragged by something like a 13 lb force. The block accelerates at a rate of 7.64 feet per second.
What are example and force?As a response, the body's motion, shape, height, etc., could also alter. An alternative would be to firmly push or shove a door. Force is a vector quantity, hence it has a magnitude and direction. According to Newton's second law, pressure is the "service offering of a body's normal and acceleration."
What characteristics does force have?Therefore, the characteristics of columns of force are just that they begin at a positively charged ions and end at a negative charge, never cross, are proportionate to charge, and cannot pass through a conductor.
W = 55lb
m = w/g
g = 32.18 ft/s2
= 55/ 32.18
= 1.70 lbm
F = 13 lb
F = ma
13 = 1.70 * a
a = 7.64 ft/s2
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a 1500kg ferry boat has a momentum of 25000 kg-m/a. What is the speed of the ferry boat
The speed of the ferry boat is 16.67 meters per second.
The Pythagorean theorem is what?At a velocity of 10.0 m/s, the boat crossed the calm sea. Un = 2.00 m/s, river water speed Let v represent the ferry's effective river crossing speed, allowing it to travel directly to the location on the opposite side. We can then express their velocities as shown below.
What made Pythagoras well-known?Greek philosopher Pythagoras made significant contributions to mathematics, astronomy, and music theory. Although the Babylonians were aware of the theorem 1000 years before Pythagoras, he may be the first to use it.
We can use the formula for momentum:
p = mv
where p is momentum, m is mass, and v is velocity or speed.
Rearranging this formula to solve for velocity, we get:
v = p/m
Substituting the given values, we get:
v = 25000 kg-m/s / 1500 kg
v = 16.67 m/s
Therefore, the speed of the ferry boat is 16.67 meters per second.
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how many peaks appear in the proton-decoupled 13c nmr spectrum of 2-methyl-2-butene?
The number of peaks in the proton-decoupled 13C NMR spectrum of 2-methyl-2-butene is three, and this reflects the three distinct carbon environments present in the molecule.
In nuclear magnetic resonance (NMR) spectroscopy, the number of peaks observed in a spectrum is related to the number of distinct chemical environments that the nuclei experience. The 13C NMR spectrum of 2-methyl-2-butene, a molecule with the chemical formula C6H12, can provide valuable information about the structure and bonding of the molecule. In this context, the question is asking how many peaks will be observed in the proton-decoupled 13C NMR spectrum of 2-methyl-2-butene.
Answer:
To determine the number of peaks in the proton-decoupled 13C NMR spectrum of 2-methyl-2-butene, we need to consider the different carbon atoms present in the molecule and the chemical environments they experience.
2-methyl-2-butene has six carbon atoms, labeled as C1 to C6 in the following diagram:
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H
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H-C=C-C-H
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H H H H
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C2 C1-C3-C4-C5-C6
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H H H H H
Carbon atoms C1, C3, and C4 are part of the main chain of the molecule and are all bonded to two other carbon atoms and one hydrogen atom. As a result, these carbon atoms experience similar chemical environments and will produce a single peak in the 13C NMR spectrum.
Carbon atoms C2, C5, and C6, on the other hand, are part of the methyl groups attached to the main chain. These carbon atoms are each bonded to three hydrogen atoms and experience a slightly different chemical environment compared to the carbon atoms in the main chain. As a result, these carbon atoms will each produce a separate peak in the 13C NMR spectrum.
Therefore, the proton-decoupled 13C NMR spectrum of 2-methyl-2-butene will show three peaks, corresponding to the three distinct carbon environments in the molecule.
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The asteroid or comet that killed the dinosaurs was probably about how large in diameter?
Thought to have been between 10 and 15 kilometers broad, the asteroid's speed during the encounter created the second-largest crater on the planet, which is now 150 kilometers in diameter.
Large, stony rocks called asteroids orbit the Sun. Their diameter ranges from a few to several hundred meters. A meteorite is any piece of an asteroid that survives impact with our planet. The most widely recognized idea for the catastrophic extinction at the end of the Mesozoic Era is the Alvarez hypothesis, which at first caused controversy.
Paul asserts, "Since we've located the crater, we have pretty strong evidence supporting an asteroid impact. It is currently mostly submerged on the ocean floor off the coast of Mexico.
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a bicycle with 19-in.-diameter wheels has its gears set so that the chain has a 6-in. radius on the front sprocket and 4-in. radius on the rear sprocket. the cyclist pedals at 190 rpm. find the linear speed of the bicycle in in/min (correct to at least two decimal places)
The linear speed of the bicycle is approximately 14145.1 in./min if a bicycle with 19-in.-diameter wheels has its gears set so that the chain has a 6-in. radius on the front sprocket and 4-in. radius on the rear sprocket.
We can use the principle of similar triangles to find the linear speed of the bicycle.
Let's consider a single revolution of the front sprocket. During this revolution, the chain moves through an arc of 6 inches on the front sprocket and 4 inches on the rear sprocket. These two arcs form similar right triangles with the radius of the sprocket as the hypotenuse and half of the circumference of the sprocket as the other two sides.
So, the ratio of the length of the arcs is equal to the ratio of the radii of the sprockets:
Arc length on front sprocket / Arc length on rear sprocket = 6 in. / 4 in. = 3/2
Next, we can find the linear speed of the bicycle. We can start by finding the circumference of each wheel and then the linear speed of one revolution of the front sprocket.
Circumference of the front wheel = pi * 19 in. = 59.08 in.
Circumference of the rear wheel = pi * 19 in. = 59.08 in.
Linear speed of one revolution of the front sprocket = Circumference of the front wheel * Arc length on front sprocket / (2 * pi) = 59.08 in. * 6 in. / (2 * pi) = 74.49 in.
Finally, we can find the linear speed of the bicycle by multiplying the linear speed of one revolution of the front sprocket by the number of revolutions per minute made by the cyclist.
Linear speed of the bicycle = Linear speed of one revolution of the front sprocket * Cyclist's pedal rate (RPM) = 74.49 in. * 190 RPM = 14145.1 in./min
So, the linear speed of the bicycle is approximately 14145.1 in./min.
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according to newton's law of universal gravitation, if the moon were four times further from earth, the force by earth on the moon would:
According to Newton's Law of Universal Gravitation, if the Moon were four times further from Earth, the force by Earth on the Moon would be one-sixteenth (1/16) of the current gravitational force between the two bodies.
This is because the gravitational force between two objects is inversely proportional to the square of the distance between them. Therefore, as the distance between the Earth and the Moon increases, the gravitational force between them decreases.
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determine the moment of each of the three forces about point b MF1(B)=? MF2(B)=? MF3(B)=?
MF1(B)= 149.52 N - m, MF2(B)= 600 N - m, MF3(B)= ON - m.
Explain about force?
Force is a vector quantity that is defined as the rate of change of momentum of an object with respect to time. It is measured in Newtons (N) and is the product of mass and acceleration, according to Newton's second law of motion. Force can be applied by pushing, pulling, or twisting an object and can be used to create motion, stop motion, or change the direction of motion. Force can also influence the shape of an object through compression, tension, and shear.
(MF₁) B = F₁ cos 30° (3) – F₁ sin 30° (4)
= 250 cos 30° (3) — 250 sin 30° (4)
= 649.52 - 500
= 149.52 N - m
(MF₂) B = F₂ cos 60° (4) – F₂ sin 60° (0)
= 300 cos 60° (4) — 300 sin 60° (0)
= 600 - 0
= 600 N - m
As the force F3 passes through point B, moment of the force F3 about point B is zero.
(MF3)B = ON - m
Therefore, MF1(B)= 149.52 N - m, MF2(B)= 600 N - m, MF3(B)= ON - m is the answer.
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How much work is done on a 45.6 kg rock that you lift 0.85 m?
Answer:
Therefore, the work done on the 45.6 kg rock that you lift 0.85 m is approximately 380.75 Joules.
Explanation:
The work done on an object is given by the formula:
work = force x distance x cos(theta)
where force is the applied force on the object, distance is the distance the object is moved, and theta is the angle between the force and the direction of motion. In this case, we can assume that the angle between the force and the direction of motion is zero degrees, since you are lifting the rock straight up.
The force required to lift the rock is equal to its weight, which is given by:
force = mass x gravity
where mass is the mass of the rock and gravity is the acceleration due to gravity, which is approximately 9.81 m/s^2 on the surface of the Earth.
Substituting the given values, we get:
force = 45.6 kg x 9.81 m/s^2 = 447.936 N
Now we can calculate the work done:
work = force x distance x cos(theta) = 447.936 N x 0.85 m x cos(0) = 380.7464 J
Therefore, the work done on the 45.6 kg rock that you lift 0.85 m is approximately 380.75 Joules.