Final answer:
To determine the direction of the displacement vector after walking north and turning 60° to the right, we must use vector addition. The displacement direction relative to east is 150° considering the 90° difference between north and east and the 60° turn to the right.
Explanation:
To determine the direction of your displacement vector while walking 53 m to the north and then turning 60° to your right before walking another 45 m, we need to understand that displacement is a vector quantity. It has both magnitude and direction. Initially, walking 53 m north represents a vector pointing straight up on a diagram where north is up, and east is to the right. When you turn 60° to your right, you are effectively turning towards the east, and walking 45 m along this new direction creates the second part of the displacement vector.
Relative to the east, the final displacement direction can be obtained using vector addition. Since you initially walked north and then turned at a 60° angle to your right, which is equivalent to a 30° angle clockwise from north, the resultant displacement vector will be at an angle from the east that is the complement of 30° (which is 60°), plus the 90° angle between north and east. Therefore, the direction of your displacement vector relative to east would be 150°.
What is a mechanical property that describes the extent to which solid materials can be plastically deformed without fracturing?
Answer:
Elasticity
Explanation:
The property of a body, by virtue of which it tends to regain its
original size and shape when the applied force is removed, is
known as elasticity and the deformation caused is known
as elastic deformation.
Ductility is the mechanical property that describes the extent to which solid materials can be plastically deformed without fracturing.
Explanation:The mechanical property that describes the extent to which solid materials can be plastically deformed without fracturing is ductility.
Ductility is the ability of a material to undergo significant plastic deformation under tensile stress without breaking. Ductile materials, such as metals, can be stretched into thin wires or shaped into various forms without fracturing.
For example, copper and aluminum are highly ductile metals that can be easily drawn into wires and used for electrical conductivity, while brittle materials like glass or ceramic lack ductility and break easily when subjected to stress.
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Types of mechanical waves include
transverse waves.
longitudinal waves.
surface waves.
all of the above.
Mechanical waves are categorized into transverse, longitudinal, and surface waves. Transverse waves have disturbances perpendicular to wave direction, longitudinal waves have parallel disturbances, and surface waves are a combination of both.
Explanation:Mechanical waves can be classified based on the type of motion involved in the wave's propagation. There are mainly two categories of mechanical waves, namely transverse waves and longitudinal waves. However, there is also a third category known as surface waves, which is a combination of both transverse and longitudinal motions.
Transverse waves are characterized by a disturbance that moves perpendicular to the direction of wave propagation. An example of a transverse wave is a wave on a string or an electromagnetic wave, such as visible light. Whereas, longitudinal waves have disturbances that move parallel to the direction of propagation, like sound waves in air or water.
Surface waves are typically observed in fluids, like water waves in the ocean, where the motion of the particles at the surface follows a circular path, thus involving both longitudinal and transverse motions.
Therefore, when considering the types of mechanical waves, the answer would be all of the above as it includes transverse waves, longitudinal waves, and surface waves.
Definition: This is what causes acceleration. Two forces acting opposite each other.
Example: Ben pushes on a heavy box. Friction opposes Ben's push. The box moves. Ben's pushing force is
greater than the friction force.
Answer:
unbalanced force
Explanation:
i just did it.
Two forces acting opposite each other then the acceleration is caused if one force is greater in magnitude than the other.
What is force?A force can cause an object with mass to change its velocity (e.g. moving from a state of rest), i.e., to accelerate. Force can also be described intuitively as a push or a pull.
A force has both magnitude and direction, making it a vector quantity. It is measured in the SI unit of newton (N). Force is represented by the symbol F (formerly P).
The original form of Newton's second law states that the net force acting upon an object is equal to the rate at which its momentum changes with time. If the mass of the object is constant, this law implies that the
Acceleration of an object is directly proportional to the net force acting on the object, is in the direction of the net force, and is inversely proportional to the mass of the object.
Hence Two forces act opposite each other then the acceleration is caused if one force is greater in magnitude than the other.
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The right-hand rule predicts which of the following?
The direction of the force on a charged object moving in a gravitational field.
The direction of the motion of a charged object moving through an electric field.
The speed of a test charge through a magnetic field.
The direction of the force on a charged object moving through a magnetic field.
Answer:
The direction of the force on a charged object moving through a magnetic field.
Explanation:
When considering the motion of a charged particle in a magnetic field, the important vectors are the magnetic field B, the velocity of the particle v, and the magnetic force exerted on the particle F. The vectors are all perpendicular to each other. As demonstrated by the right-hand rule.
Find the equivalent resistance between points A and B shown in the figure(Figure 1). Consider R1 = 1.9 Ω , R2 = 2.5 Ω , R3 = 4.4 Ω , R4 = 3.5 Ω , R5 = 5.5 Ω , and R6 = 7.1 Ω .
The equivalent resistance between the point A and B is 0.95 ohm.
Explanation:
Solving for R3, R4, and R5 since they are in parallel formation. Their equivalent resistance could be
1 / R = (1 /R3) + (1 / R4) + (1 / R5)
= (1 / 4.4) + (1 / 3.5) + (1 / 5.5)
1 / R = 0.69
R = 1.43 ohm.
Next solving R6 and leg of this resistance which are in series connection,
r = R + R6
= 1.43 + 7.1)
r = 8.53 ohm.
Finally the three resistance R1, R2 and the leg resistance which are in parallel connection,
1 / r = (1 / 1.9) + (1 / 2.5) + (1 / 8.53)
= 1.04 ohm
Equivalent resistance R eq = 1 / 1.04 = 0.95 ohm.
The equivalent resistance of the circuit shown in the attachment is 0.958 Ω.
What is a resistor?The resistor can be defined as a device that has some electrical resistance and that is used in an electric circuit for protection, operation, or current control.
Given that there are 6 resistors connected in-between points A and B as shown in the attachment.
R1 = 1.9 Ω, R2 = 2.5 Ω, R3 = 4.4 Ω, R4 = 3.5 Ω, R5 = 5.5 Ω, and R6 = 7.1 Ω.
The resistors R3, R4, and R5 are in parallel connections. Let's consider that R' is the equivalent resistor of this parallel connection, then,
[tex]\dfrac {1}{R'} =\dfrac {1}{R_3} + \dfrac {1}{R_4}+\dfrac {1}{R_5}[/tex]
[tex]\dfrac {1}{R'}= \dfrac {1}{4.4}+ \dfrac {1}{3.5}+\dfrac {1}{5.5}[/tex]
[tex]\dfrac {1}{R'}= 0.69[/tex]
[tex]R' = 1.45[/tex]
The equivalent resistor is in series connection with R6. Hence, the equivalent resistance R'' is given below.
[tex]R'' = R' + R_6[/tex]
[tex]R'' = 1.45 + 7.1[/tex]
[tex]R'' = 8.55[/tex]
Now the resistors R1, R2, and R'' are in parallel connection, so the equivalent resistor R is given as,
[tex]\dfrac {1}{R} = \dfrac {1}{R_1} + \dfrac {1}{R_2} + \dfrac {1}{R''}[/tex]
[tex]\dfrac {1}{R} = \dfrac {1}{1.9} +\dfrac {1}{2.5} +\dfrac {1}{8.55}[/tex]
[tex]\dfrac {1}{R} = 1.043[/tex]
[tex]R = 0.958[/tex]
Hence we can conclude that the equivalent resistance of the circuit shown in the attachment is 0.958 Ω.
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How do you calculate acceleration
Answer: acceleration is equal to the change in velocity per unit time in seconds.
a= ∆v / t = vf - vi / t
Explanation: change in velocity or ∆v can be expressed as (vf - vi)
PLEASE HELP ASAP. Best answer gets BRAINIEST:
a counter weight of 13.5kg is used to help a person of a mass 62.4kg do chin ups
1. Calculate the force applied by the person if he accelerates at 1.9m/s^2
2. calculate the magnitude of the tension in the wire.
Answer:
1. Force = -623.43 N
2.Tension = 106.65 N
Explanation:
Let us call the bigger mass [tex]M[/tex], and the smaller mass [tex]m[/tex].
Since the two masses are connected to each other, they must experience same acceleration (if they didn't, the unequal acceleration will cause the string to break. )
From the free body diagram, the forces acting on the mass [tex]M[/tex] are
[tex]T - Mg-F_p[/tex],
and according to Newton Second Law, this causes acceleration [tex]a[/tex]; therefore,
(1). [tex]\boxed{ T-Mg-F_p=Ma}[/tex].
Similarly, the forces acting on the mass [tex]m[/tex] are
[tex]T -mg[/tex],
which causes the acceleration [tex]-a[/tex] (upward); therefore,
[tex]T-mg=-ma \\[/tex]
or
[tex]\boxed{ mg-T = ma}[/tex]
From this equation we solve for [tex]T[/tex] and get:
[tex]T = mg-ma \\\\T =m(g-a).[/tex]
We put this into equation (1) and get:
[tex]m(g-a)-Mg-F_p=Ma[/tex]
[tex]F_p = m(g-a)-M(g+a)[/tex]
putting in [tex]M=62.4kg,m=13.5kg,[/tex] and [tex]a=1.9m/s^2[/tex], we get:
[tex]F_p=13.5(9.8-1.9)-62.4(9.8+1.9)\\\\\boxed{ F_p=-623.43N}[/tex]
The tension in the wire is
[tex]T =m(g-a)\\\\T = 13.5(9.8-1.9)\\\\\boxed{ T= 106.65N}[/tex]
Which is an example of physical weathering?
(1 point)
acid rain breaking down compounds in
rock statues
rock breaking apart when it falls from a
cliff
oxygen interacting with minerals in rock
bits of iron in rock rusting when exposed
to oxygen and water in
Answer:
Rock breaking apart when it falls from a cliff
Rock breaking apart when it falls from a cliff is an example of physical weathering (option B)
What physical weathering?Physical weathering, also known as mechanical weathering, involves the physical breakdown of rock into smaller pieces without changing its chemical composition.
In this case, the force of gravity and the impact of the falling rock cause it to break into smaller fragments, which is a mechanical process and a common example of physical weathering. The other options involve chemical weathering processes.
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1) An eagle accelerates from 15 m/s to 22 m/s in 4 seconds. What is the eagle's average
acceleration?
2) A roller coaster picks up speed as it rolls down its first hill. Its initial speed is 4 m/s,
and 3 seconds later at the bottom its speed is 22 m/s. What is its average acceleration?
3) A car is said to go "zero to sixty in six point seven seconds (6.7 s)". 60 mph is equal to
26.8 m/s. What is its acceleration in m/s??
4) A car is moving at a speed of 35.8 m/s. What acceleration would it have if it took 2.0 s to
come to a complete stop?
5) A car traveling at 22.4 m/s skids to a stop in 2.55 s. Determine the acceleration of the car.
6) A plane has a takeoff speed of 88.3 m/s. It reached that speed in 30.8 s. Determine the
acceleration of the plane.
7) Rocket-powered sleds are used to test the human response to acceleration. If a rocket-
powered sled is accelerated to a speed of 444 m/s in 1.83 seconds, then what is the
acceleration of the sled?
1)The average acceleration of eagle is 1.75 m/s².
2) The average acceleration of roller coaster is 6 m/s².
3)Acceleration in m/s² is 4 m/s².
4) Acceleration required to stop the car is -17.9 m/s².
5) Acceleration required to stop the car is -8.78 m/s².
6) Acceleration of the plane is 2.87 m/s².
7)Acceleration of the sled is 243 m/s².
Answer:
Explanation:
1) Average acceleration is equal to the rate of change in velocity with respect to time. Here the final and initial velocities are given as 22 m/s and 15 m/s respectively and the time is given as 4 seconds.
So, average acceleration = (Final velocity-Initial velocity)/Time
Average acceleration = (22-15)/4= 1.75 m/s².
Thus, the average acceleration of eagle is 1.75 m/s²
2) Similarly we have to use the above formula for determining the average acceleration of the roller coaster. Here the initial velocity is 4 m/s and final velocity is 22 m/s and the time taken to reach this final speed is 3 seconds.
So, average acceleration = (Final velocity-Initial velocity)/Time
Average acceleration = (22-4)/3= 6 m/s².
Thus, the average acceleration of roller coaster is 6 m/s².
3) Acceleration = 26.8/6.7=4 m/s².
Acceleration in m/s² is 4 m/s².
4) Acceleration required to stop the car = -35.8/2=-17.9 m/s².
Acceleration required to stop the car is -17.9 m/s².
5) Acceleration of the car skidding to stop = (0-22.4)/2.55=-8.78 m/s².
Acceleration required to stop the car is -8.78 m/s².
6) Acceleration of the plane= 88.3/30.8=2.87 m/s².
Acceleration of the plane is 2.87 m/s².
7) Acceleration of the sled = 444/1.83=243 m/s².
Acceleration of the sled is 243 m/s².
The eagle's average acceleration is equal to 1.75 [tex]m/s^2[/tex].
Given the following data:
Initial velocity = 15 m/s.Final velocity = 22 m/s.Time = 4 seconds.What is an acceleration?An acceleration can be defined as the rate of change of the velocity of an object with respect to time. Also, it is usually measured in meter per seconds square.
Mathematically, acceleration is given by this formula:
[tex]a = \frac{V\;-\;U}{t}[/tex]
Where:
V is the final velocity.U is the initial velocity.t is the time measured in seconds.Substituting the given parameters into the formula, we have;
[tex]a = \frac{22\;-\;15}{4}\\\\a=\frac{7}{4}[/tex]
Acceleration, a = 1.75 [tex]m/s^2[/tex].
Note: You should use the above formula to solve the other exercises.
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What is the difference between relative time and absolute time?
Final answer:
Relative time determines the sequence of events without specific ages, while absolute time gives a precise measurement of age or date. Geologists use relative dating for stratigraphy and absolute dating for techniques like carbon dating. Time dilation in relativity illustrates that the rate of time is relative to the observer's motion.
Explanation:
The difference between relative time and absolute time lies in how they quantify the duration and sequence of events. Relative time refers to the sequence of events without assigning a specific age or date to them; it's a way to determine the order in which events have occurred. For instance, geologists use relative time to assert that one rock layer is older than another. On the other hand, absolute time or radiometric dating provides a precise measurement, giving an actual number or date to an event or object, such as specifying that a rock layer is 300 million years old.
These concepts are critical in fields such as geology, paleontology, and astronomy. In special relativity, the concept of time dilation shows that absolute time is not a fixed unit across all references, as the observed rate at which time passes depends on the observer's relative motion.
An example of relative dating would be using stratigraphy to understand that one geological layer is younger than the layer below it, while an example of absolute dating would be using carbon dating to determine the exact age of an archaeological object.
Explain using words or visuals how minerals originally found in magma could travel
through the rock cycle and eventually end up in each of the three main classifications
of rocks. Describe what patterns must occur for each rock type to change into another.
Include any surface and sub-surface events that can be a contributing factor to the
rock cycle. SC.7.E.6.2
Answer:
Explanation:
Magma is a molten and semi-molten rock mixture found under the surface of the Earth. This mixture is usually made up of four parts: a hot liquid base, called the melt; minerals crystallized by the melt; solid rocks incorporated into the melt from the surrounding confines; and dissolved gases. When magma is ejected by a volcano or other vent, the material is called lava. Magma that has cooled into a solid is called igneous rock. Magma is extremely hot—between 700° and 1,300° Celsius (1,292° and 2,372° Fahrenheit). This heat makes magma a very fluid and dynamic substance, able to create new landforms and engage physical and chemical transformations in a variety of different environments. How Magma Forms Earth is divided into three general layers. The core is the superheated center, the mantle is the thick, middle layer, and the crust is the top layer on which we live. Magma originates in the lower part of the Earth’s crust and in the upper portion of the mantle.
Molted magma comes outside Earth's surface and formed igneous rocks. Due to natural decay, this igneous rocks forms sedimentary rocks and due to changes of temperature, pressure and chemical changes both of the rocks transforms into metamorphic rocks.
What is rock cycle?A fundamental idea in geology, the rock cycle illustrates how the three primary types of rocks—sedimentary, metamorphic, and igneous—change over the course of geologic time.
When a rock is pushed out of its equilibrium circumstances, it changes. For instance, an igneous rock like basalt may disintegrate and evaporate when exposed to air or melt when it is subducted beneath a continent.
Rocks do not stay in an equilibrium state; rather, they change as they interact with new environments because of the driving forces of the rock cycle, plate tectonics, and the water cycle.
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A student fires a cannonball horizontally with a speed of 39m/s from a height of
73m. Neglect drag.
What was the cannonball's initial horizontal speed?
What was the cannonball's initial vertical speed?
How long did the ball remain in the air?
How far from the base of the building will the ball land (measured along the
ground)?
Explanation:
The initial horizontal speed is 39 m/s, and the initial vertical speed is 0 m/s.
v₀ₓ = 39 m/s
v₀ᵧ = 0 m/s
In the y direction:
Δy = 73 m
v₀ᵧ = 0 m/s
aᵧ = 9.8 m/s²
Find: t
Δy = v₀ᵧ t + ½ aᵧt²
73 = 0 + ½ (9.8) t²
t = 3.9 s
In the x direction:
v₀ₓ = 39 m/s
aₓ = 0 m/s²
t = 3.9 s
Find: Δx
Δx = v₀ₓ t + ½ aₓt²
Δx = (39) (3.9) + 0
Δx = 150 m
The initial horizontal speed of the cannonball is 39 m/s, its initial vertical speed is 0 m/s, it remained in the air for approximately 3.86 seconds, and it landed about 150.3 meters from the base of the building.
Explanation:The cannonball's initial horizontal speed is the speed at which it was fired, which is 39 m/s. Since the cannonball was fired horizontally, its initial vertical speed is 0 m/s.
To find out how long the ball was in the air, we need to use the equation of motion. With the use of the formula for the time of flight for a vertically projected body (t = √(2h/g)), where h is the height from which the cannonball was dropped, and g is the acceleration due to gravity, which is 9.8 m/s², we get t = √(2*73/9.8) = 3.86 seconds.
Finally, to find the distance along the ground, we multiply the time in the air by the horizontal speed (because the horizontal velocity stays consistent in a vacuum), so we get 39 m/s * 3.86 seconds = 150.3 meters.
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Radium-228 decays by alpha decay. Part of the nuclear equation is shown
below. Fill in the blank with a number.
Ra → He+7 Rn
Answer here
SUBMIT
₈₈ Ra²²⁸ → ₂He⁴ + ₈₆Rn²²⁴
Explanation:
Radium -228 is a radio-active element. It undergoes ∝- decay which means it emits a helium particle that is composed of 2 neutrons and 2 protons. Then the radium- 228 is converted into radon-224 which is again a radio-active element contains 86 protons and 138 neutrons by emitting an ∝-particle. The other isotopes of Ra²²³, Ra²²⁴ and Ra²²⁶ occurs naturally in the chain decay of the radio-active elements Uranium and Thorium. The ∝- decay of ₈₈ Ra²²⁸ is given as,
₈₈ Ra²²⁸ → ₂He⁴ + ₈₆Rn²²⁴
Water is made of two hydrogen atoms and one oxygen atom bonded together. Julia is describing how water undergoes a physical change when it boils. She says that the particles shift to be farther apart and that the oxygen and hydrogen separate. She also says that the total mass of the steam is the same as the initial water, and that heat energy was required to cause the change. She finishes her description by saying that the steam can be turned back into water if it is cooled
Boiling water causes molecular movement to increase without breaking H₂O bonds. It's a physical change where molecules move farther apart as steam forms. Cooling steam back into water is reversible, showcasing the unique properties of water's hydrogen bonding.
When water undergoes a physical change, such as boiling, the arrangement of the water molecules changes due to increased kinetic energy. However, the chemical composition remains the same, meaning that the hydrogen and oxygen atoms do not separate into different atoms; they stay bonded as H₂O. The molecules move farther apart, transitioning from a liquid to a gaseous state without changing their actual molecular structure. This transformation requires the input of heat energy, and it is completely reversible; if the steam (water vapor) is cooled, it will condense back into liquid water, demonstrating one of water's unique characteristics due to its ability to form and break hydrogen bonds.
During the boiling of water, the hydrogen bonds between water molecules are broken as they gain enough kinetic energy to escape into the air as steam. When water freezes, however, these molecules form a crystalline structure that is less dense than liquid water, which explains why ice floats. This phenomenon is distinctive to water and differs from most other liquids, where the solid form is denser than the liquid.
Before colliding , the momentum of Block A is +450 kg^ * m/s , and Block Bis -150 kg^ * m/s . After , Block A has a momentum +100 kg*m/s. What is the momentum of Block B afterwards ?
Answer:
Momentum of Block B after collision is 200 kg.m/s
Explanation:
Momentum of block A before collision is [tex]p_{1A} = 450kg.m/s[/tex]
Momentum of block B before collision is [tex]p_{1B} = -150kg.m/s[/tex]
Momentum of block A after collision is [tex]p_{2A} = 100kg.m/s[/tex]
According to conservation of momentum, total momentum before collision is equal to total momentum after collision
[tex]p_{1A}+p_{1B}=p_{2A}+p_{2B}\\450-150=100+p_{2B}\\p_{2B}=300-100\\p_{2B}=200 kg.m/s[/tex]
Momentum of Block B afterwards is 200 kg.m/s
Answer:
200
Explanation:
How do molecules behave when they transition from a solid, liquid, to gas?
What is a conversion factor?
a derived unit with a new name
the graph of recorded data
the density of a substance
a ratio of equivalent units
Answer:
A ratio of equivalent units
Explanation:
A conversion factor is a ratio of equivalent units and depends on which units are to be converted.
For example we want to convert 275 [mm] to inches, so we have to find the right conversion factor to allow us to work that conversion.
275 [mm] = inches = ?
[tex]275 [mm] * \frac{1in}{25.4mm} = 10.82 [in][/tex]
In this case the ratio is 1/25.4 = 0.039 [in/mm]
Gamma radiation:
А
)
causes you to turn green when angry
B
travels at the speed of light
c) is easily stopped by paper
D
is a particle
Answer:
Is a particle
Explanation:
Gamma Ray is a particle and can be stopped with a very thick concrete and iron mixture.
Answer: Is a particle
Explanation:
Took a quiz!
prove: st = ut+½ at²
Explanation:
Let the distance covered by the body be s, initial and final velocities be u and v respectively and time taken be t.
[tex] \therefore Average\: velocity = \frac{u+v}{2} \\\\ Now, \:we \:know\: that\\\\ Distance \:covered\\ = Average\: velocity \times time\\\\ \therefore s= \frac{(u+v) }{2} \times t..... (1)\\\\[/tex]
By first equation of motion:
[tex] v = u + at[/tex]
Substituting the value of v in equation (1), we find:
[tex] s= \frac{(u+u + at)}{2} \times t\\\\ \therefore s= \frac{(2u + at)}{2} \times t\\\\ \therefore s= \frac{(2ut + at^2)}{2}\\\\ \therefore s= \frac{2ut} {2}+ \frac{at^2}{2}\\\\ \huge \orange {\boxed {\therefore s= ut+ \frac{1}{2}at^2}} \\\\[/tex]
Hence proved.
A 100 sprinter starts from rest and final velocity of 18.8m/s what is the sprinter average acceleration if takes him 10.6 s to run the 100m race
Answer: a= 1.77 m/s²
Explanation: acceleration is expressed in:
a= vf - vi / t
a= 18.8 m/s - 0 m/s / 10.6 s
a= 1.77 m/s²
What is the chemical formula of water?
A)N2O
B)H2O
C)NH3
D)HO3
Answer:
B H2O.
Explanation:
Because H2O stands for hydrogen, which has the amount of 2. And O stands for oxygen, which is by itself. When you put that together it makes H2O.
Covert 60 mph to SI mks units
Answer:
26.8224
Explanation:
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distinguishing sound and electromagnetic waves
Electromagnetic waves are not mechanical and transverse in nature, while
Sound waves are mechanical and longitudinal
Explanation:
In physics, waves are classified into two types:
Mechanical waves are those where the vibration is produced by the vibrations of the particles in a medium, therefore they need a medium to propagateElectromagnetic waves are those produced by the oscillations of electric and magnetic fields; they do not a medium to propagate, since they can travel through a vacuumMoreover, depending on the direction of the vibration, waves are further classified into:
Transverse waves: those where the direction of the vibration is perpendicular to the direction of propagation of the waveLongitudinal waves: those where the direction of the vibration is parallel to the direction of propagation of the waveElectromagnetic waves are not mechanical and transverse in nature (the oscillations of the electric and magnetic fields occur in a plane perpendicular to the direction of the wave), while
Sound waves are mechanical and longitudinal (the vibrations of the particles of the medium is back-and-forth along the direction of propagation of the wave)
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Mars has two moons, Phobos and Deimos, with masses 1.08 x 1016 kg and 1.8 x 1015 kg, respectively. How far apart
are the two moons when the gravitational force between them is 3 x 1012 N? Do not use scientific notation. Round
to one decimal
Answer:
20784.6m
Explanation:
Check attachment
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Three forces act on an object (at the origin of a rectangular coordinate system). Force one, F1, has a magnitude of 5.81 N and a direction Theta1 = 77.0 degrees, force two, F2, has a magnitude of 4.88 N and a direction of Theta2, = 156 degrees, and a force three F3, has a magnitude of 4.52 N and a direction of Theta 3 = 289 degrees. add these three vectors using the component method of vector addition. Call the resultant vector F and write the answer in component form (ie using unit vectors). then calculate the magnitude and direction of the vector F.
Answer:
F = -1.682 i + 3.374 j [N] ; F = 3.77[N]; α = 65.78°
Explanation:
In order to be able to understand this problem more easily, we will have to draw the vectors at the point of origin and in this way, with the help of the angles we will be able to find each of the components of the forces.
Looking at the attached image we can see each of the three forces, take each force and decompose them into the x & y axes.
F1 = 5.81 [N]
[tex]F_{1x} = 5.81*cos(77) = 1.306[N]\\F_{1y} = 5.81*sin(77) = 5.66[N][/tex]
F2= 4.88 [N]
[tex]F_{2x}= - 4.88*cos(180-156) =-4.458[N]\\F_{2y}= 4.88*sin(180-156) =1.984[N][/tex]
F3= 4.52 [N]
[tex]F_{3x} = 4.52*cos(360-289)=1.47[N]\\F_{3y} = - 4.52*sin(360-289) = -4.27[N][/tex]
Now we can sum each of the forces in the different components
[tex]F_{x} =F_{x1}+F_{x2}+F_{x3} = 1.306-4.458+1.47 = - 1.682[N]\\F_{y} =F_{y1}+F_{y2}+F_{y3} = 5.66+1.984-4.27 = 3.374[N][/tex]
F = -1.682 i + 3.374 j [N]
The total magnitude can be calculated by Pythagoras theorem
[tex]F = \sqrt{(1.682)^{2}+(3.374)^{2} } \\F = 3.77 [N][/tex]
The direction can be calculates as follows:
tan(α) = 3.374/1.682
α = 65.78°
This angle was calculated with respect to the horizontal
When a beam of light passes from substance 1 (index of refraction = 1.55) to substance 2, it has an angle of incidence of 39 ∘
and an angle of refraction of 24∘ What’s the index of refraction of substance 2? For those who’ll attempt the problem, Snells law should be used.k
Answer:
2.40
Explanation:
Snell's law states:
n₁ sin θ₁ = n₂ sin θ₂
where n₁ and n₂ are the indexes of refraction, θ₁ is the angle of incidence (relative to the normal), and θ₂ is the angle of refraction (relative to the normal).
1.55 sin 39° = n sin 24°
n = 2.40
Convert 53.9 mi/h to m/s. 1 mi = 1609 m
Answer:
it would be 86725.1 m
Explanation:
please give brainly
Answer: 53.9ml/hr = 24.1m/s
Explanation:
Since 1ml = 1609m
And 1hr = 3600sec
53.9ml/hr = 53.9*1609/3600
= 24.1m/s
HELP PLEASEEEE
how much time would it take to stop a 2.75kg ball traveling at 3.90m/s if a constant force of -5.00N is applied to it?
Answer: 2.15secs
Explanation:
Force = mass*velocity/time
F = 5N
M = 2.75kg
V = 3.90m/s
5.00 = 2.75*3.90/time
Time = 10.725/5.0 = 2.15sec
It will take approximately 2.145 seconds to stop a 2.75 kg ball traveling at 3.90 m/s with a constant force of -5.00 N.
First, we need to calculate the initial momentum of the ball using the formula:
Momentum (p) = mass (m) × velocity (v)
Given:
mass (m) = 2.75 kg and initial velocity (v) = 3.90 m/sp (momentum) = 2.75 kg × 3.90 m/s
p (momentum) = 10.725 kg·m/s
Next, we use the principle of impulse to find the time needed to stop the ball. Impulse (J) is equal to the change in momentum, and it is also equal to the applied force (F) times the time (t):
Impulse (J) = Force (F) × time (t)Since the force applied is -5.00 N (acting against the ball's motion), we rearrange the equation to solve for time:
t = J / FThe change in momentum is equal to the initial momentum (since the final momentum will be 0 when the ball stops):
J = 10.725 kg·m/sThus,
[tex]t = \frac{10.725 kg \cdot m/s}{ 5.00 N }= 2.145 s[/tex]Therefore, it will take approximately 2.145 seconds to stop the ball.
Which of the following statements best describes how waves interact with the media in which they move?
A. Only the energy travels with the wave, not the medium itself.
B. Both energy and the medium itself travel with the wave.
C. Only the medium travels with the wave; the energy remains static.
D. Neither the medium nor the energy travels with the wave.
Answer:
d
Explanation:
Neither the medium nor the energy travels with the wave.
How does the wave interact with the medium via which it travels?the speed of a wave relies upon the uses of the medium via which it travels.for instance, sound travels an awful lot faster through water than via air. whilst a wave enters a perspective a medium thru which its pace might be slower, the wave is bent in the direction of the perpendicular.Waves carry electricity via area or a medium without transporting be counted number.even as all waves can transmit electricity through a medium, wonderful waves also can transmit strength thru space. A medium is a cloth through which waves can tour.A wave is a disturbance in a medium that includes power with out a internet motion of particles. it could take the shape of elastic deformation, a version of stress, electric or magnetic depth, electric powered potential, or temperature.
wave, propagation of disturbances from region to location in a regular and organized way. most acquainted are floor waves that tour on water, however sound, light, and the movement of subatomic debris all exhibit wavelike homes.
Learn more about the waves here:-https://brainly.com/question/1968356
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A skateboarder who travels 60 meters in 30 seconds has a speed of
Answer:
2m/s
Explanation:
Speed= distance / time
? = 60m / 30s
speed= 60/30
60/30=2
speed= 2m/s