Mathematically speaking, acceleration, net force, and mass of an object are related as [tex]F = m \times a[/tex], where F stand for net force, m for mass, and a for acceleration.
What is the second law of Newton?The formula F = m × a, which asserts that the net force acting on an object is equal to the rate at which its momentum is changing, is derived from Newton's second law of motion.
The rate of change of momentum is proportional to acceleration when mass is assumed to be constant.
As vectors, which also have direction and magnitude, force and acceleration imply that if the net force is moving downhill, the acceleration will also be moving downwards. A scalar quantity is mass.
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to remove the refrigerant from a system without any testing or processing and to be put back into the same system is called .
To remove the refrigerant from a system without any testing or processing and to be put back into the same system is called recovery.
Recover means to remove refrigerant in any condition from an appliance and to store it in an external container without necessarily testing or processing it in any way. Recovery efficiency means the percentage of refrigerant in an appliance that is recovered by a piece of recovery and/or recycling equipment.
In the vapor recovery method, the refrigerant is removed from the HVAC system in a vapor state. The vapor is then condensed into a liquid by the recovery unit and transferred to the recovery cyclinder.
To put it as simply as possible, refrigerant recovery refers to the transfer of a system's refrigerant into a refillable refrigerant cylinder during repairs or replacement of the air-conditioning system. By looking into refrigerant recovery, you can prevent refrigerants from leaking and releasing into the atmosphere.
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What do we now believe is responsible for the canals observed on mars in the nineteenth and early twentieth centuries?.
We now think that the canals seen on Mars in the late nineteenth and early twentieth century were the result of optical illusions.
The canals of Mars, which appeared to be systems of long, straight lines on the surface of Mars, are now understood to be illusions caused by the unintentional alignment of craters and other natural surface features that are seen in telescopes close to their resolution limit. They sparked a lot of debate and influenced how people perceived the possibility of life beyond Earth in the late 19th and early 20th centuries.
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If a flight is made from an area of lower pressure into an area of high pressure without the altimeter setting being adjusted, the altimeter will indicate
a) the actual altitude above sea level.
b) higher than the actual altitude above sea level
c) lower than the actual altitude above sea level.
If a flight is made from an area of lower pressure into an area of high pressure without the altimeter setting being adjusted, the altimeter will indicate option c - lower than the actual altitude above sea level.
When flying from a lower pressure area to a high-pressure area, the aircraft's altitude gradually rises while the altimeter remains constant; thus, the ALTIMETER indicates a lower altitude than the aircraft is actually flying. The quantity of gas particles with in air reduces as height increases atmosphere becomes less dense than air nearer to ocean level. It's what weathermen and mountain climbers refer to when they speak regarding "thin air." Thin air imposes fewer pressure than lesser air.
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Individual cloud layers in the giant planets have different compositions because?.
Ammonia crystals that have been frozen make up the majority of Jupiter and Saturn's clouds. Methane makes up the clouds on Uranus and Neptune. The composition of the clouds is determined by these worlds' temperatures.
With 75% of their mass made up of hydrogen and 25% of it made up of helium, Jupiter and Saturn, the two largest planets, share virtually the same chemical composition as the Sun. Jupiter and Saturn are commonly referred to as gas planets because hydrogen and helium are both gases on Earth.At any given altitude, Saturn's atmosphere is colder than Jupiter's, hence the different cloud layers are located further into Saturn's atmosphere. However, methane cannot condense in the warmer troposphere, only in the extremely cold upper troposphere of Uranus and Neptune.
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a stone tossed into a body of water creates a disturbance at the point of impact which lasts for 5.2 s. the wave speed is 29 cm/s. (a) over what distance on the surface of the water does the group of waves extend? (b) an observer counts 12 wave crests in the group. estimate the precision with which the wavelength can be determined.
(a) over the distance of 150.8 cm on the surface of the water, the group of waves extends.
(b) an observer counts 12 wave crests in the group. the precision with which the wavelength can be determined is 0.112 cm
We are provided with the time taken which is 5.2 s and the wave speed which is 29 cm/s. Since distance , d = velocity * time
= 29 cm/s * 5.2 s = 150.8 cm
For the second part, λ=d / N, where λ is the wavelength and N is the number of wave crest
so λ= 150.8 /12 = 12.56 = 13 cm
so Δ λ =ε λ²/ d
here ε = 0.1
so Δλ = 0.1*13²/150.8 = 0.112 cm
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The same girl in number 3 (above) pushes another friend on the same skateboard.
If she pushes her friend with 60 N of force and the girl accelerates at 2.1 m/s² then
what is her friend's mass?
The mass of her friend is 28.57.
Force is a push or pulls upon an item because of the object's interaction with some other object. pressure is a power that can exchange the motion of an object. A force can reason an object with mass to alternate its speed, i.e., to boost up. pressure also can be described intuitively as a push or a pull. A force has each significance and course, making it a vector amount.
Calculation:-
given;
mass = ?
acceleration = 2.1 m/s
force = 60 N
Force = mass × acceleration
mass = force/acceleration
= 60 /2.1
= 28.57 kg
The phrase 'Force' has a unique meaning. At this degree, it is absolutely appropriate to describe a force as a push or a pull. A force is not something that an object consists of or 'has in it. A force is exerted on one object through another. The concept of a force isn't always restricted to living matters or non-living matters.
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Two bowling balls, each with a mass of 8. 52 kg, are traveling toward each other. What is the total momentum of the system if both balls have a speed of 2. 13 m/s, but are traveling opposite of one another?.
The net momentum of two balls is 18.1476 kgm/s.
Take into account the impact of two objects, object 1 and object 2. The forces involved in such a collision are equal in strength and directed in the opposite direction.It follows that the impulses that the two objects experience are also equal in magnitude and opposite in direction because the forces between the two objects are opposite in direction and have equal magnitudes as well as equal times for action.[tex]mv=-MV\\\\\\mv+MV=0\\m=M\\so\\m(v+V)=net-momentum\\[/tex]8.52 (2.13)=18.1476 kgm/s
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different objects sitting around in a room feel warmer or cooler. if they are in thermal equilibrium, what must be true of their temperatures?
To learn the equilibrium and temperature.
What is equilibrium?
When Newton's first law is true, the equilibrium state of an object is present. When all external forces (including moments) operating on an object in a reference coordinate system are equal, the object is said to be in equilibrium. The net effect of all external forces and moments acting on this object is zero as a result.
What is temperatue?
Temperature is a unit of measurement that can be expressed on a variety of scales, including Fahrenheit and Celsius. Temperature shows the direction of the spontaneous movement of heat energy, i.e., from a hotter body (one with a higher temperature) to a colder body (one with a lower temperature).
Their temperatures must be equal if two bodies are in thermal equilibrium.
As for coldness or warmth, we generally observe that metals feel colder while non metallic objects don't (i.e. comparatively they feel warmer than metals). This is due to the fact that metals are good conductor of heat. So when we touch a metallic body, heat flows from our body and is transferred to other points of the metal object. Since our body loses heat, we feel cold. In non metals, this conduction of heat from point of contact to other locations does not happen.
Therefore, the amount of heat loss from our body is much smaller. So we don't feel that cold.
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suppose your standing on a train accelerating at 0.20 g. what minimum coefficient of static friction
The minimum coefficient of static friction between the man and the train accelerating at 0.20g is .020.
The acceleration of the train is 0.20g. g is the acceleration due to gravity.
The man standing in the train will also have the same acceleration as that of the train. So, the acceleration of the man standing in the train is 0.20g.
Let us assume that the mass of the man is M.
So,
in order to keep standing an go with the trains,
Friction force = The force on the man exerted by the train's acceleration.
Friction force = uN
u is the coefficient of static friction,
N is the normal reaction.
The Normal reaction will be equal to the weight of the man.
Weight of the man wil be mg. So,
Friction force = uMg
Th force due to train's acceleration,
F = M(0.2g)
Now,
M(0.2) = uMg
u = 0.2
So, the coefficient of static friction is 0.2.
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a ball is thrown straight up. at what point in the balls movement does the ball have the most energy? ignore air resitance. explain.
The ball has the most energy when it is at the top of its trajectory.
When is a ball at its most energetic?
The ball's maximum displacement and velocity will be equal at the highest point of the trajectory. It is possible to state that the energy present is equivalent to the entire potential energy.The ball possesses potential energy when it is at its highest point. The ball has kinetic energy as it moves in the direction of the table. At the very end of its descent, when it is travelling the quickest, it possesses the highest kinetic energy.To learn more about energy, follow the link https://brainly.com/question/12044665
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consider a neutron star with a mass equal to the sun, a radius of 17 kmkm , and a rotation period of 1.0 ss . what is the speed of a point on the equator of the star? express your answer with the appropriate units.
The answer is 42300km. The gravitational field on the surface of a neutron star is about 2.0×1012 m/s2, about 2×1011 times that of the Earth.
Neutron stars form when giant stars run out of fuel and collapse. The central part of the star, the core, collapses, crushing each proton and electron into a neutron. Neutron stars are extreme objects with diameters of 10 to 20 km. Their density is 1017 kg/m3 (Earth's density is about 5×103 kg/m3, even white dwarfs have a density of one million times less). A small, very dense star composed almost entirely of densely packed neutrons. About 10 km radius (the size of Manhattan). Pulsar. A source of short radio bursts with precise timing. Probably a rotating neutron star. lighthouse model.
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a 2.00 kg steel gas can holds 10.0 l of gasoline when full. what is the average density (in kg/m3) of the full gas can, taking into account the volume occupied by steel as well as by gasoline?
The average density of the full gas can is 0.2 kg/m³
Density is the substance's mass consistent with the unit of quantity. The symbol most customarily used for density is ρ, despite the fact that the Latin letter D can also be used. Density is the size of ways tightly a cloth is packed together. it's far defined as the mass consistent with unit quantity.
ρ = m/V, wherein ρ is the density, m is the mass of the item and V is the quantity of the object.
calculation:-
mass = 2 kg
volume = 10 L
density = mass/volume
= 2/10
= 0.2 kg/L
The density is of two types, one is absolute density, and the alternative is relative density. Relative density is also called unique gravity, which is the ratio of the density of a material to the density of a reference material. typically, the reference fabric is water.
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a sound power level reading of 127 db was taken near a construction site where chippers were being used. when all but one of the chippers stopped working, the sound power level reading was 120 db. estimate the number of chippers in operation when the reading of 127 was obtained.
2 chippers are used in operation when the reading of 127 was obtained.
We have following information,
Sound power level reading = 127db
the sound power level reading when one chippers stopped working = 120db
let L₁ = 127db , L₂ = 120db
change in sound level ( ∆L ) = 127 - 120 = 7db
Using the sound level formula ,
change in sound level = ∆L
= L₁ - L₂= 10 log L₁ - 10 log L₂ = 7
=> 10 log ( L₁ /L₂ ) = 7 ( from logarithm formula)
=> log ( L₁/L₂ ) = 7/10 = 0.7
=> L₁ /L₂ = e^0.7 = 2.01
So, there are 2 chippers initially.
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on the basis of your answer to part c, would you say that the friction force is conservative or nonconservative?
Due to the fact that the work relies on the chosen path, friction is non-conservative. a force that prevents two solid objects from rolling or sliding over one another.
How to describe frictionfriction is the resistance to a thing moving or rolling over another solid object. Although frictional forces can be advantageous, such as the traction required to walk without slipping, they also provide a significant amount of resistance to motion.
What leads to friction?Because of the imperfections on the two surfaces in contact, friction is produced. Small imperfections can be found on even the smoothest surfaces, and when two surfaces interact with one another, they cause friction.
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Question 2 of 10
Which of the statements below about buoyancy is true?
A. Buoyancy pushes objects down, in the same direction as gravity.
B. Buoyancy is a force that acts on objects that are placed in a fluid.
C. All objects that experience the force of buoyancy float.
D. If the buoyant force is greater than the force of gravity, the object
will sink.
B is the one
Buoyancy or Buoyant force is the force which acts on the objects that are placed in a fluid. Thus, the correct option is B.
What is Buoyant force?
The buoyant force or buoyancy is the upward force that is exerted on an object which is fully or partially immersed in a fluid. This upward force is also called Up-thrust. Due to buoyant force, a body that is submerged in a fluid appears to lose its weight in the fluid, i.e. appears to be lighter. The factors which affect buoyant force are volume of the fluid displaced and the volume of the body that is submerged in fluid.
An example where buoyant force can be observed is a ship which is floating in the middle of the sea, an anchor that sinks when thrown in the water, and a fish which is hovering in the middle of the waterbody.
Therefore, the correct option is B.
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a 2.5-kg brick falls to the ground from a 3-m-high roof. what is the approximate kinetic energy of the brick just before it touches the ground? * 1 point a) 75 j b) 38 j c) 12 j d) 11 j
The approximate kinetic energy of the brick just before it touches the ground is 75J. Option A.
Solution:
Mass of brick = m = 2.5 kg
Height of roof = 3 m
Let v be the final velocity of the brick just before hitting the ground.
The kinetic energy of an object is given by KE = [tex]\frac{1}{2} *M *V^{2}[/tex]
v must be calculated before calculating KE.
You can calculate the required variables using the formula where u is the initial velocity, v is the final velocity, a is the acceleration, and s is the distance traveled.
Where s = roof height, u = 0 because the brick falls instead of being thrown, so a = gravitational acceleration = g = 9.8.[tex]\frac{M}{S^{2} }[/tex]
So[tex]V^{2}[/tex] = 0+2x9.8x3 = 58.8
So v = [tex]\sqrt{58.8}[/tex] = 7.66m/s
Now we can calculate the kinetic energy = [tex]\frac{1}{2} *m*v^{2} = \frac{1}{2} *2.5*58.8 = 73.5 kg*\frac{m^{2} }{s^{2} }[/tex]
We also need to convert KE to Joules.
[tex]1kg*\frac{m^{2} }{s^{2} }[/tex] = 1 joule
Therefore kinetic energy = 73.5 joules.
When an object falls from rest its gravitational potential energy is converted into kinetic energy. Energy conservation as a tool allows us to calculate the velocity just before hitting the surface. When an object hits solid ground, all of its kinetic energy is converted into heat and sound energy. When an object falls to the ground in free fall its potential energy decreases, and its kinetic energy increases.
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at its peak, a tornado carries 540 km/h winds at a point where the diameter of the tornado is 59 m. (a) what is its angular velocity?
At its peak, a tornado carries 540 km/h winds at a point where the diameter of the tornado is 59 m, angular velocity is 0.737 rev/s.
What is Angular Velocity?
You must comprehend rotation in order to comprehend angular velocity. Let's use a windmill as an example to assist you comprehend. A windmill is a stiff object that revolves around a certain axis. The blades of a windmill spin about an axis that passes through the rotor while the windmill is in rotational motion. Angular velocity is the speed that rigid things display as they rotate around a fixed axis.The vector representation of rotation rate, or how quickly an item rotates or revolves in relation to another point, is called angular velocity.The temporal rate at which an item rotates or circles around an axis is known as its angular velocity.However, The Greek symbol omega is used to signify angular velocity.
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a 110 kg man lowers himself to the ground from a height of 12 m by holding on to a rope passed over a frictionless pulley and attached to a 74 kg sandbag. a.) with what speed does the man hit the ground? b.) is there anything he could do to reduce the speed with which he hits the ground?
a) Speed of the man will be
b) Yes the speed can be reduced by reducing the speed of the sandbag.
Speed can be defined as the rate of change of distance with respect to time.
Mathematically, speed is Distance / TimeViewing the man-rope-sandbag as a system the total mass of the system will be 110 + 74 = 184 kg
height from the ground = S = 12 m
According to the second law of motion,
S = ut + 0.5 a t²
u = initial velocity = 0 m/s
t can be calculated from the above equation
a = 9.81 m/sec²
12 = 0 + 0.5 * 9.8 * t²
t² = 2.44
t = 1.5 sec
Now according to the first equation of motion,
v - u = at
Since 'u' is 0 'v' will be called as the speed of the man
v = 9.8 * 1.5
v = 14.7 m/se
The speed of the man by which he will hit the ground is 14.7 m/sec.
b) If the weight of the sandbag is increased, the man can reduce his acceleration and consequently the speed with which he hits the ground will decrease.
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How are the pieces of hard candy like pieces of rock (sediment)? how are they different?.
Sedimentary rocks are formed when sediments are compacted and cemented together. Similarly, when magma cools it hardens into igneous rock.
I was able to sculpt a model out of the sedimentary rock by applying pressure to the candy with a book. This is similar to sedimentary rock formations in nature. After the rock fragments pile up in layers the pressure causes the sediment to become sedimentary rock.
Great Plains rock is sedimentary Rocky Mountain rock is igneous. They were formed differently and need not be formed together. The Great Plains and the Rocky Mountains are similar in this respect. Both lie on the same tectonic plate known as the North American plate.
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if two objects, each with a mass of 4.1x10^2 kg, produce a gravitational force between them if 9.2x10^-6 N, what is the distance between them?
Taking into account the Universal Law of Gravitation, the distance between the objects is 1.10396×10⁻⁶ m².
Universal Law of GravitationThe Universal Law of Gravitation establishes that bodies, by the simple fact of having mass, experience a force of attraction towards other bodies with mass, called gravitational force.
This law states that the gravitational force between two bodies is directly proportional to the product of their masses and inversely proportional to the square of the distance that separates them, expressed as:
[tex]F=G\frac{Mm}{d^{2} }[/tex]
where:
G is the universal gravitational constant, with a value of 6.67×10⁻¹¹ [tex]\frac{Nm^{2} }{kg^{2} }[/tex].M and m are the masses of the bodies that interact.d is the distance that separates them.Distance between two objectsIn this case, you know:
F= 9.2×10⁻⁶ NG= 6.67×10⁻¹¹ [tex]\frac{Nm^{2} }{kg^{2} }[/tex]M= m= 4.1×10² kgd= ?Replacing in the Universal Law of Gravitation:
[tex]9.2x10^{-6} N=6.67x10^{-11}\frac{Nm^{2} }{kg^{2} } \frac{4.1x10^{2} kgx 4.1x10^{2} kg}{d^{2} }[/tex]
Solving:
9.2×10⁻⁶ N÷ 6.67×10⁻¹¹ [tex]\frac{Nm^{2} }{kg^{2} }[/tex]= [tex]\frac{4.1x10^{2} kgx 4.1x10^{2} kg}{d^{2} }[/tex]
1.3793×10⁻¹⁷ kg²÷m²= [tex]\frac{168100 kg^{2} }{d^{2} }[/tex]
1.3793×10⁻¹⁷ kg²÷m²× d²= 168100 kg²
d²= 168100 kg²÷ 1.3793×10⁻¹⁷ kg²÷m²
d²= 1.2187341×10⁻¹² m²
d= √1.2187341×10⁻¹² m²
d= 1.10396×10⁻⁶ m²
Finally, the distance is 1.10396×10⁻⁶ m².
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What net force is required to horizontally accelerate a 90 kg person from rest to 66 m/s in
1.3?
The net force required to horizontally accelerate a 90 kg person from rest to 66 m/s is 4596.3 N.
Acceleration is the rate of change of the velocity of an item with appreciation to time. Accelerations are vector quantities. The orientation of an item's acceleration is given by the orientation of the net pressure appearing on that object.
Given;
mass = 90 kg
initial velocity = 0
final velocity = 66 m/s
time = 1.3 sec
V = u + at
66 = 0 + a × 1.3
a = 66/1.3
a = 50.77 m/s²
F = ma
= 90 × 50.77 N
= 4596.3 N
Acceleration is the charge at which velocity modifications with time, in terms of each speed and route. A factor or an object moving in a straight line is accelerated if it quickens or slows down. movement on a circle is extended despite the fact that the rate is consistent because the course is continually changing.
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a tennis ball cannon projects a ball vertically upward with an initial speed of 60 m/s. assuming negligible air resistance, with what speed will the ball be moving after 2.0 seconds.
Answer:
40.4 m/s
Explanation:
v = v o - at
= 60 - 9.81 (2) = 40.4 m/s
As your textbook notes, the paradox of stratification is that inequality is the result of.
Answer: abundance
Explanation: Paradox Inequality is the result of abundance. intended or unintended consequences of social processes and relationships. prevents social equality, and that this inequality ultimately leads to social conflict.
As your textbook notes, the paradox of stratification is that inequality is the result of the Universal Basic Income.
What is universal basic income ?A sociopolitical idea known as universal basic income proposes that every member of a particular population receive a transfer payment on a regular basis without having to prove their ability to pay.
A legally mandated and equally distributed cash award is provided by the government to all people of a given nation under the sociopolitical financial transfer policy concept known as universal basic income (UBI). Local, regional, or national implementation of a basic income are all possible.
The phenomena of birthweight-specific mortality curves crossing when stratified on other exposures, most notably cigarette smoking, is known as the "birth weight conundrum." The dilemma has received a lot of attention in the literature, and a lot of explanations and fixes have been proposed.
Thus, As your textbook notes, the paradox of stratification is that inequality is the result of the Universal Basic Income.
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An egg is dropped from a treehouse and takes 1.51.51, point, 5 seconds to reach the ground. We can ignore air resistance.
What is the egg's displacement?
The egg's displacement is 122.625 m
Here, the case of dropping the egg from the treehouse is comes under freefall condition. Meaning that the motion is under Earth's gravitational acceleration only as we have to ignore air resistance. Here initial velocity is considered to be zero.
Hence, we will use s= 1/2* g*t²
s is displacement to be find out in meter
g is acceleration due to gravity = 9.81 m/s²
t is time taken by the egg to reach the ground which is given as 5 second.
Putting all the values in the given equation
s= 1/2*9.81*5*5
s= 1/2*9.81*25
s= 245.25/2
s= 122.625
So the displacement is 122.625 meter
Using the formula for 'Kinetic Energy, what is the kinetic energy for an
object that weighs 40g and moving at 10 m/s?
200 ms² is the kinetic energy for an object that weighs 40g and moving at 10 m/s.
What are kinetic energy ?Kinetic energy is the power that an object has had as a result of motion. To accelerate an object, a power must be supplied to it. To apply a force, we must exert effort. The power is transported to the object when work is accomplished, which causes it to move at a new, constant pace.
What makes kinetic energy so important?The capacity to perform work is unquestionably the most important characteristic of kinetic energy. Force acting on to an object while it is traveling is referred to as work. Energy and work are interchangeable because of their close relationship.
Briefing:Using Kinetic Energy Formula:
K.E = 1/2 mv²
K.E. = 1/2 * 40 * 10
K.E. = 200 ms²
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6. suppose a certain musical instrument consists of a pipe which is open at one end and closed at the other. music is produced as sound waves move through the pipe, creating standing wave patterns. the pipe has a length of 80 cm. q1) find the wavelength of the first, third, and fifth harmonics (show your work).
The wavelength of the first third and fifth harmonics is ∝ = 64cm.
Solution:
[tex]\frac{\pi }{4} = 80cm , \pi = 320cm[/tex]
[tex]\pi = 80 cm\\[/tex] [tex]\pi = 106.67cm[/tex]
[tex]\frac{5\pi }{4}=80cm[/tex]
[tex]\pi = 64cm[/tex]
The bottom opening of closed-ended tubular piles is covered with a steel plate or a conical tip. A steel plate or conical tip is welded into the opening. These covers are often called end caps. In contrast, open-ended tubular piles do not have end caps.
When a sound wave is transmitted through an open pipe and reflected from the Earth. The incident and reflected waves then have the same frequency and propagate in opposite directions, forming a superimposed standing wave. An open-ended instrument has both ends open to the air. An example would be a trumpet-like instrument.
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two asteroids are 75000 m apart one has a mass of 8 x 10^7 kg if the force of gravity between them is 1.14 what is the mass of the asteroid
3.4 x 10^11 kg
8.3 x 10 ^12 kg
1.2 x 10 ^12 kg
1.2 x 10^10 kg
Answer:
1.2×10¹² kg
Explanation:
from
[tex]f = \frac{gm1m2 }{r {}^{2} } [/tex]
[tex]m2 = \frac{fr {}^{2} }{gm1} [/tex]
[tex]m2 = \frac{1.14 \times (75000 { )}^{2} }{6.67 \times {10}^{ - 11} \times 8 \times {10}^{7} } [/tex]
HENCE M2= 1.2×10¹²kg
Which of the following factors would most likely cause a hurricane to decrease in strength?
Moving toward tropical water
Staying over a warm body of water for a long time
Increasing the number of large clouds
Moving over a landmass
Answer:
moving over a landmass because moving for a long period of time will cause for it to slow down.
The factor that would most likely cause a hurricane to decrease in strength is staying over a warm body of water for a long time. The correct option is B.
What is a hurricane?Because of their larger size, longer duration, and greater variety of ways to damage property, hurricanes cause far more overall destruction than tornadoes.
A hurricane is a tropical storm with winds that have reached 74 miles per hour or higher. A storm's eye is typically 20-30 miles wide and can extend for 400 miles.
These storms weaken and disintegrate as they move over cold water or land and lose contact with the hot water that powers them.
Recent research has found a link between ocean surface temperatures and the intensity of tropical storms. Warmer waters fuel more energetic storms.
Thus, the correct option is B.
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A 5 kg object is lifted to a height of 8 m. How much work is done by the gravitational force?.
The work done by the gravitational force is -400 J.
Solution:
Work done = 5×8×(-10)
Work done = 40(-10)
Work done = -400J.
Gravity or attraction pulls objects with mass together. We often think about Earth's gravity. This force locks the body to the ground. But all objects with mass exert gravitational force on all other objects with mass.
Gravity is described as the force of attraction that attracts all physical forms with mass. It is by far the weakest known force of nature. The reason gravity pulls you to the ground is that all objects with mass like our Earth actually bend or distort the fabric of the universe called space-time. This curvature is what we perceive as gravity.
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tyrofoam has a density of 300kg/m3300kg/m3. what is the maximum mass that can hang without sinking from a 40.0 cmcm -diameter styrofoam sphere in water?
If a Styrofoam has a density of 300 kg / m³, the maximum mass that can hang without sinking from a 20.0 cm -diameter Styrofoam sphere in water is 23.45 kg
ρ = m / V
V = 4 / 3 π r³
ρ = Density
m = Mass
V = Volume
r = Radius of sphere
d = 40 cm = 0.4 m
r = d / 2 = 0.4 / 2
r = 0.2 m
V = 4 / 3 * 3.14 * 0.2 * 0.2 * 0.2
V = 0.0335 m³
ρ = 300 kg / m³
m = ρ V
m = 300 * 0.0335
m = 10.05 kg
Similarly for water displaced,
ρ = 1000 kg / m³
m = 1000 * 0.0335
m = 33.5 kg
The maximum mass that the sphere can hold without sinking,
m = 33.5 - 10.05
m = 23.45 kg
Therefore, the maximum mass that the sphere can hold without sinking is 23.45 kg
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