Note that the sentences with the blank spaces are completed as follows;
A "formula" tells what elements make up a compound and the ratios of the atoms of those elements.A compound that is composed of only two elements is a "binary compound".An atom with a negative charge is an "anion".A metal and non-metal tend to form an "ionic" bond.A "bond" is formed when atoms gain, lose, or share electrons.Two non-metal atoms tend to form a "covalent" bond. A "bond" is formed when atoms gain, lose, or share electrons.An "ionic" ion forms when a compound contains both an ionic bond and a covalent bond."Periods" on the periodic table are the rows of elements, and have the same number of valence electrons."Groups" or "families" on the periodic table are the columns of elements and have similar properties.The electrons in the outermost shell of an atom are known as the "valence" electrons and are responsible for the element's chemical activity.What is a periodic table?The periodic table, commonly known as the periodic table of elements, is an arrangement of chemical elements in rows and columns. It is frequently utilized in chemistry, physics, and other disciplines, and is widely regarded as a chemical icon. Because of the arrangement of the elements, it is known as the periodic table.
The periodic table is important because it is arranged to give a wealth of information on elements and their relationships to one another in a single reference.
The table may be used to forecast the characteristics of all elements, even those yet to be found.
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A piece of stone is projected vertically upwards with a speed of 25ms^-1. Determine it's speed at it's point reached
Assuming a piece of stone is projected vertically upwards with a speed of 25ms^-1, its speed at its highest point reached is equal to zero (0) m/s.
What is projectile motion?In Science, projectile motion can be defined as a form of motion which is experienced by a physical object (body) that is projected near the surface of planet Earth, while moving along a parabolic path, and under the influence of a gravitational force (gravity) only.
Generally speaking, when this stone is thrown straight up or projected vertically upwards at a certain speed, it begins to slow down as a result of the effect of downward gravitational acceleration.
Consequently, the stone reaches a maximum height (highest point) where it cannot go higher anymore and then starts to fall down (descend) due to gravity.
In this context, we can reasonably infer and logically deduce that the speed of any physical object would be equal to zero (0) meter per seconds when it reaches a maximum height (highest point).
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Complete Question:
A piece of stone is projected vertically upwards with a speed of 25 ms^-1. Determine its speed at its highest point reached. (g = 10 ms-2).
an object in shm oscillates with a period of 4.0 s and an amplitude of 16 cm. part a how long does the object take to move from x
The object takes to move is 0.409s.
Calculaiton:
time period T = 4 s
Angular speed ω = 2π/T= 1.57 rad/s
SHM equation
x = A sin ωt
6 = 10 sin(1.57t)
sin(1.57t) = 0.6
1.57 t = 0.6435
t= 0.409s.
The amplitude of a periodic variable is a measure of its change over one period. The amplitude of an aperiodic signal is its magnitude relative to a reference value. Amplitude has various definitions, all of which are functions of the magnitude of the difference between extreme values of a variable. It refers to the maximum displacement from equilibrium exhibited by a body in periodic motion.
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I NEED HELP ASAP PLSS
Answer:
C.) The United States would become less dependent on energies that emit greenhouse gases.
Explanation:
If nuclear energy increased, it would occupy a larger piece of the pie chart. The prompt states that the usage of non-fossil fuel-based forms of energy would remain constant. This condition means that nuclear energy would decrease the percentage of fossil fuel-based energy used. Energy production through the use of fossil fuels necessarily produces greenhouse gases such as CO2. An increase in nuclear energy would mean a corresponding decrease in dependence on greenhouse gas-producing fossil fuels.
9. What is the acceleration when a 63 kg person on rollerblades pushes against a wall with a
force of 34 N?
It is a well-known fact that often applying force does not cause a change in the condition of motion. For instance, even if you use all of your force, a hefty box could not budge at all. Again, attempting to push a wall has no noticeable effect.
What acceleration, rollerblades, pushes against a wall force?Because you pushed against the wall, but the wall pushed back against you with an equal and opposite force, you slide in the opposite direction (away from the wall).
Therefore, There are just two forces at work: friction and gravitation. Yes, the frictional force's magnitude must match the weight. Given that it is parallel to the wall, the friction is in the vertical direction (which is vertical)
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what force must be exerted on the master cylinder of a hydraulic lift to support the weight of a 2500 kg car (a big car) resting on the slave cylinder? the master cylinder has a 1.93 cm diameter, while the slave's is 24.9 cm. 1900 n 150 n 15 n 4.1e 06 n 74 n
The force that must be exerted on the master cylinder of the hydraulic lift to support the weight of car is 147.2 N .
The Pascal's Law states that the relation between the pressure , force and area is given as :
Pressure = Force/Area ;
given that the diameter of the master cylinder is = 1.93 cm ;
so radius of master cylinder = 1.93/2 = 0.965 cm = 0.00965 m ;
the diameter of slave cylinder is = 24.9 cm ;
the radius of the slave cylinder = 24.9/2 = 12.45 m = 0.1245 m ;
Area of slave cylinder (A₁)= π(0.1245)² = 0.0486 m²
Area of the master cylinder (A₂) = π(0.00965)² = 0.000292 m² ;
given mass of the car = 2500 Kg ,
the force exerted will be : F = m*a
F₁ = 2500*9.8 = 24500 N ;
F₁/A₁ = F₂/A₂
So , 24500/0.0486 = F₂/0.000292
F₂ = (24500/0.0486)×0.000292
F₂ = 147.2 N
Therefore , the force exerted on the master cylinder is 147.2 N .
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If an object has constant velocity, then one can be sure that the object is not ____.
Answer:
accelerating
Explanation:
untill an unbalanced force acting on a body, object at rest remain stationery while object on motion continue moving in constant velocity.
no resultant force means no acceleration.
TRUE/FALSE
1) A test booklet is sitting at rest on a desk. Compared to the force of the booklet on the
desk, the force of the desk on the booklet is the same. _______________
True
False
2) The acceleration of an object is always in the direction of the net force acting on it.
True
False
Answer:
TRUE - A test booklet is sitting at rest on a desk. Compared to the force of the booklet on the desk, the force of the desk on the booklet is the same.
TRUE - The acceleration of an object is always in the direction of the net force acting on it.
one cannot peer all the way back and directly observe the big bang because the universe's density was so low. true false
True. The Big Bang Theory is the current scientific explanation for the origin and evolution of the universe. According to this theory, the universe was initially in a state of extremely high density and temperature, and it has been expanding and cooling since its inception.
One reason we cannot directly observe the Big Bang is that the universe's density was so low at that time that there were no solid particles, such as atoms or molecules, that could have formed into stars or galaxies. Instead, the universe was filled with a hot, ionized plasma that was too diffuse to be observed by telescopes. Another reason is that the expansion of the universe has caused the light and other electromagnetic radiation that was emitted during the Big Bang to become redshifted, or stretched out in wavelength, over time. This means that the light from the earliest moments of the universe has shifted into the microwave and radio frequency ranges, which are not visible to the human eye. Therefore, while we can infer some details about the conditions of the early universe based on observations of the cosmic microwave background radiation and the large-scale structure of the universe, we cannot directly observe the Big Bang itself.
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7. What is the weight of a ball with a mass of 0.77 kg? (hint: how fast is gravity?)
Answer:
While on the earth, any object with a mass of 0.77 kg weighs 7.546 newtons (1.698 pounds).
On the moon, the same 0.77-kg object would weigh 1.232 newtons (0.277 pound)
Explanation:
What will happen to the pitch when a car with a blowing horn is approaching, according to the doppler effect?
Answer: The sound will increase in pitch.
Explanation:
According to the Doppler Effect, sounds will increase in pitch as they are nearing the listener, and then decrease in pitch as the sound moves further away. This is because when sound waves travel a shorter distance, the waves are more compact (higher frequency), producing a higher pitch. The further a listener is from the sound, the lower the pitch because the sound waves are more spread apart (lower frequency).
it’s actually 7th grade science no physics pls answer it’s a lot of points
What do the historical communication technologies in these photos have in common?
(pictures are shown below)
All the tools of communication such as the drum, telegraph et cetra were used for emergency communication.
What is communication?We know that communication has to do with the art of sending and receiving information between two people who may or may not be at the same place. We know that the dissemination of information is a very important aspect of life and we have always tried to invent means of communication especially at times when we have an emergency situation that needs a kind of an immediate remedy.
We can see that all the kinds of communication gadgets that have been show here are all from a period that is far behind the kind of civilization that we have to day and the kind of thge communication gadgets that are quite available to the people that are around today.
However, all the tools shown could be used to send information in times of emergency.
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a car is stopped at a traffic signal. when the light turns green, the car accelerates from 0 to 4.1 m/s in 0.526 seconds. what is the average force in n (newtons) experienced by a passenger of mass 81.9 kg in the car when the car accelerates?
Car acceleration is 7.794 m/s2 and the average force F is 638.32 N.
Because the passenger is in the car, the passenger experiences the same velocity and acceleration as the car.
Linear impulse equals mass times a change in speed (Vf - Vi)
Initial velocity is Vi, whereas ultimate velocity is Vf.
When the passenger's mass,
m(mass), is 81.9 kg,
the linear impulse is 81.9 kg ×(4.1 - 0)
= 335 kgm/s.
F(average) = m × acceleration
Acceleration = Vf - Vi/ t
Acceleration= 4.1 - 0 ÷0.526
Acceleration= 7.794 m/s²
F(average) = 81.9 kg × 7.794 m/s²
F = 638.32 N
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The diagram below represents a wave.
What is the speed of the wave if its wavelength is 3.0 m?
The speed of the wave is determined as 18 m/s.
option D is the correct answer.
What is the speed of the wave?
The speed of the wave is the rate of change of wave's displacement with time.
The speed of the wave is calculated by applying the formula relating speed, wavelength and frequency of the wave as shown below.
v = fλ
where;
v is the speed of the wavef is the frequency of the waveλ is the wavelength of the waveThe frequency of the wave is calculated as follows;
f = 1 / T
where;
T is the period of the waveThe period of a wave is the time taken for the wave to complete one cycle.
In the picture given, 3 cycles of the wave = 0.5 s
1 cycle of the wave = ?
= 0.5 s / 3
= 0.16667 s
f = 1 / T
f = 1 / 0.16667
f = 6 Hz
The speed of the wave is calculated as follows;
v = fλ
v = 6 Hz x 3 m
v = 18 m/s
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an increase in sound level from 30 db to 50 db requires an increase in sound intensity by a factor of:
Loudness increases by 10 dB for every dB increase in sound intensity. A 40-decibel light rainstorm is 100 times louder than a whisper, whereas a 30-decibel "silent" room is 10 times louder than a 20-decibel whisper. Loud noises can be harmful.
50 dB is how much louder than 20 dB?A 10 dB rise results in a two-fold increase in volume. The loudness will therefore rise by nearly 8 times with a 30 dB increase (from 20 dB to 50 dB).
Decibels are measured on a logarithmic scale using a power of ten, which might be perplexing. For those of you without advanced math degrees, this simply implies that the sound intensity doubles for every 10 decibel rise.
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a series lr circuit consists of a 2.0-h inductor with negligible internal resistance, a 100-ohm resistor, an open switch, and a 9.0-v ideal power source. after the switch is closed, what is the maximum power delivered by the power supply? group of answer choices 81 w 0.40 w 8.1 w 0.81 w 0.090 w
The maximum power delivered by the power supply is 0.81W.
What is lr circuitAn RL Series Circuit is one that has an inductance L coil and a resistance R connected in series with each other. when the current element I flowing in the circuit is crossed by a supply voltage (V).
A series configuration of an inductor and a resistor is known as an LR circuit. A voltage source, such as a battery, and a switch are connected to this circuit. Here, the wire that makes up an inductor's coil has a DC resistance, or R.
Maximum power is delivered when current in circuit is maximum.
Maximum current is obtained after long time when inductor is shorted.
Maximum current is I = 9V/100
Maximum powder = VI = (9v)(9v)/100
Maximum power delivered= 0.81W.
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if the sound wave lasts 4 seconds, how much distance did it travel? (please help me)
Answer:
A wave is a disturbance that moves along a medium from one end to the other. If one watches an ocean wave moving along the medium (the ocean water), one can observe that the crest of the wave is moving from one location to another over a given interval of time. The crest is observed to cover distance. The speed of an object refers to how fast an object is moving and is usually expressed as the distance traveled per time of travel. In the case of a wave, the speed is the distance traveled by a given point on the wave (such as a crest) in a given interval of time. In equation form,If the crest of an ocean wave moves a distance of 20 meters in 10 seconds, then the speed of the ocean wave is 2.0 m/s. On the other hand, if the crest of an ocean wave moves a distance of 25 meters in 10 seconds (the same amount of time), then the speed of this ocean wave is 2.5 m/s. The faster wave travels a greater distance in the same amount of time.
Explanation:
Answer:170
Explanation: 0.50
can also be written as
1
2
.
0.50
seconds is half of a second.
if the wave travels
340
m
every second, it will travel half of that distance in
0.50
seconds.
340
⋅
1
2
=
340
2
=
170
in half of a second, the wave will have travelled
170
metres away from its source.
two people are on a train that is moving at 10 m/s north. they are walking 1 m/s south relative to the train. relative to the ground, their motion is 9 m/s north. why are we able to use these motions to describe the motion relative to the ground?
We are able to use these motions to describe The people are moving much slower than the speed of light so the ground acts as a frame of reference. The correct option is A.
What is motion example?Motion is the visa free travel of a body in relation to time. For instance, the fan, the carpet's dust blowing off of it, the water running from the faucet, a ball spinning around, sound moving automobile, etc. Even the cosmos is always changing.
Is force in motion?Motion is only motion that needs an external force to operate upon it. Example of forces that may speed up or slow down a lot include pushing and tugging. At-a-distance forces and contact forces are the two different forms of forces. Additionally, mass and friction are crucial.
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The complete question is -
Two people are on a train that is moving at 10 m/s north. They are walking 1 m/s south relative to the train. Relative to the ground, their motion is 9 m/s north.
Why are we able to use these motions to describe the motion relative to the ground?
A-The motion of everything in the Universe besides light can be described in this way.
B- The people are moving much slower than the speed of light so the ground acts as a frame of reference.
C- As long as the frame of reference is stationary, all motion can be described in this way.
D-If one object is moving much slower than the speed of light, its speed can be added to that of another object.
true or false: a tennis ball following a parabolic trajectory without air resistance has two forces acting on it; gravity downward and a force keeping it moving forward.
A tennis ball following a parabolic trajectory without air resistance has two forces acting on it; gravity downward and a force keeping it moving forward this statement is false.
What exactly is "projectile motion"?Objects fired into the air and traveling in that direction are referred to as projectiles. After the initial force that drives it, an object only perceives gravity. The projectile's route is the path that the object takes as it moves. Projectile motion can take one of three main kinds. horizontal projectile motion an oblique projectile motion. the trajectory of a missile moving upward.
What two things affect how a projectile moves?The following are the key elements influencing projectile motion:
The launch's inclination: The item will go either vertically or horizontally depending on the angle at which it is thrown. Initial speed: The higher and farther an item may travel, the faster its initial launch speed must be.To know more about Projectile Motion visit
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The aircraft has a take-off mass of 320 000 kg. Each of the 4 engines can produce
a maximum force of 240 kN.
Calculate the maximum acceleration of the aircraft.
Show clearly how you work out your answer and give the unit.
Acceleration =
Answer: maximum acceleration of an aircraft is 3 m/s².
Explanation:
1 kN = 1000 N
240 kN = {240 * 1000} N
⟹ 240000 N
four engine force = 4 * 240000 ⟹ 960000 N
GIVEN:
Mass of aircraft = 320000 kg
Force produce by four engine = 96000
FORMULA: (F = M * A ) force = mass * acceleration
960000 = 320000 * a
a = 960000/320000
a= 96/32
a=3 m/s²
inside a washing machine, the radius of the cylinder where the clothes sit is 0.50 m. in one of its settings the machine spins the cylinder at 2.0 revolutions per second. what is the acceleration of an item of clothing?
Answer:
Approximately [tex]79\; {\rm m\cdot s^{-2}}[/tex].
Explanation:
Apply unit conversion and ensure that angular velocity [tex]\omega[/tex] is in radians per second. The angular displacement of each revolution is [tex]2\, \pi[/tex] radians. Therefore:
[tex]\begin{aligned} \omega &= \frac{2.0\; \text{revolution}}{1\; {\rm s}} \\ &= \frac{2.0\; \text{revolution}}{1\; {\rm s}} \, \frac{2\, \pi}{1\; \text{revolution}} \\ &= (4.0\, \pi)\; {\rm s^{-1}} \\ &\approx 12.566\; {\rm s^{-1}}\end{aligned}[/tex].
The clothes in this laundry machine are in a centripetal motion. The radius of the motion is [tex]r = 0.50\; {\rm m}[/tex], and the angular velocity of the clothes is [tex]\omega \approx 12.566\; {\rm s^{-1}}[/tex]. The acceleration of the clothes will be:
[tex]\begin{aligned}a &= \omega^{2} \, r \\ &\approx (12.566\; {\rm s^{-1}})^{2} \, (0.50\; {\rm m}) \\ &\approx 79\; {\rm m\cdot s^{-2}}\end{aligned}[/tex].
Design a safety restraint or device for a motorcycle 4-wheeler or go-kart. Design may be drawn or describe. Be sure to explain how your devices protects the driver against collision forces.
this is very urgent, please help!!
Answer:
Explanation:
One possible safety restraint or device for a motorcycle 4-wheeler or go-kart could be a roll cage. A roll cage is a structure that surrounds the driver and is designed to protect them in the event of a rollover or collision.
The roll cage would be made of strong, lightweight material such as steel or aluminum tubing. It would be attached to the frame of the 4-wheeler or go-kart and would extend upward to surround the driver's head and shoulders. The roll cage would also have additional bracing to provide additional support and protection in the event of a collision.
In the event of a rollover or collision, the roll cage would help to distribute the forces of the impact evenly around the driver, protecting them from the full force of the collision. The additional bracing would also help to prevent the roll cage from collapsing or deforming, providing additional protection for the driver.
In addition to the roll cage, the driver could also wear a safety harness or seat belt to help keep them securely attached to the vehicle and prevent them from being thrown out in the event of a collision. This would provide additional protection against the forces of a collision.
a set of waves has a frequency of 28 hz and a speed of 7 m/s. what is the wavelength of the waves in meters?
Wavelength of the waves in meters is 4m.
What is wavelentgh?Wavelength is the distances between identically any points (adjacent cresta) in the adjacent cycles of a wave form signals propagates in spaces or along side a wire. In wireless system's, this lengths is usually specifies in meters (m), centimetres (cm) or millimetres (mm).
To solve this equation first we have to use the wave formulation -
V= fλ
As we know
v= velocity
f= frequency
λ=wavelength
We know the frequency and the velocity of the both elements which have good unit's. All we have to do is rearranged the equations and solve for λ.
λ= v/f
Let's calculate both the value to get our main answer-
λ= 7m/s / 28s^-1
λ= 4m
Thus, the wavelength is 4m.
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Mr. Seifert needs to push a cardboard box down the hallway for Ms. Wang. The box has a mass of 40 kg and he is pushing it with an acceleration of 2 m/s/s. Because the cardboard does not slide easily, there is a friction force of 25 Newtons acting on the box to the LEFT. How much force is Mr. Seifert applying to the box to move it forward to the RIGHT?
Answer:
105N
Explanation:
force = mass x acceleration
force without the 25N = 40 x 2
= 80N
On top of this, he has to counteract the 25N so the actual force is 80N + 25N which is 105N
calculate the height of the coulomb barrier for the head-on collision of two deuterons. take the effective radius of a deuteron to be 2.1 fm.
The nuclear force between two charged particles is attractive, but Coulomb repulsion prevents two charged particles from getting close enough to interact. (K= 170 keV.)
How to fix it?We consider the value of the initial kinetic energy K that each deuteron must possess in order for them to come to rest when their surfaces meet to be the height of the Coulomb barrier.
if r is a deuteron's radius, then by the law of conservation of energy, we get,
2K=1/4πϵo. e²/2r
putting values, we get
K= 1/4πϵo. e²/4r=9x10^9x1.6x10^-19/4x2.1x10^-15=2.75x10^-14 J = 170 keV.
How can the height of a potential barrier be determined?J is the potential energy. Divide it by the electron charge, or 1.6 x 1019C, to convert it to eV. Consequently, the 360keV potential barrier height for a head-on collision of two deuterons. In this work,
What is the calculation for height?5 feet, 6 inches, or 66 inches, is the height of a human. 2.54 centimeters make up one inch (cm). Therefore, to convert your height from inches to centimeters, just multiply it by 2.54. The metric equivalent of a person who is 5 feet, 6 inches tall in this instance is 167.64 cm (66 x 2.54).
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how much time does it take for a student running at an average speed of 5 ms to cover a distance of 2km
It will take the student 400 seconds (or 6 minutes and 40 seconds) to cover a distance of 2km at an average speed of 5 m/s.
It would take a student running at an average speed of 5 ms approximately 400 minutes or 6.67 hours to cover a distance of 2km. This is calculated by dividing the distance (2km) by the speed (5 ms) and multiplying the result by 60 minutes, which gives a total of 400 minutes.
1. Convert the distance from kilometers to meters:
2 km = 2000 m
2. Calculate the time it takes for the student to cover the distance:
Time = Distance / Speed
Time = 2000 m / 5 m/s
Time = 400 s
3. Convert the time from seconds to minutes:
Time = 400 s / 60 s/min
Time = 6.67 min
In addition, when breaking down the time it would take, the student would have to maintain a steady pace in order to cover the 2km in the most efficient manner. This would mean running for 40 minutes at a time, with a 5-minute break in between each 40-minute run, for a total of 8 runs to complete the distance.
It is important for the student to remember to stay safe and hydrated when running for such a long duration. It might be a good idea for the student to have a companion with them to help maintain their pace and provide motivation as well.
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a car accelerates uniformly from rest to 25 m/s over a distance of 30 meters. what is the acceleration of the car?
Answer:
a=25/24 m/s^2
Explanation:
I’m going to assume you mean the final velocity is 25m/s.
v^2=u^2+2as
625=0+2a300
a=25/24 m/s^2 or 1.0416^_ (period 1) ^m
fill in the blanks
8) Kinetic energy is the energy of ________.
9)The potential energy of an object depends on its ________ and its height.
10) The law of ________ of energy states that energy can be neither created nor destroyed, but it can change its form.
Answer: Kinetic energy is the energy an object has because of its motion
(if it needs to be a one worded answer than just type motion)
The potential energy of an object depends on its mass and its height.
The law of conservation of energy states that energy can be neither created nor destroyed, but it can change its form.
Answer:Kinetic energy is the energy an object has because of its motion. If we want to accelerate an object, then we must apply a force. Applying a force requires us to do work.
As expressed by the equation, potential energy depends upon the mass and the height of the object. Any increase in these two quantities will lead to an increase in the amount of potential energy possessed by the object.
The law of conservation of energy states that energy can neither be created nor destroyed - only converted from one form of energy to another. This means that a system always has the same amount of energy, unless it's added from the outside.
two planets are identical, except planet x has an atmosphere of mostly nitrogen and planet y has an atmosphere of mostly carbon dioxide. what can you determine about the planets
Two planets are identical, except planet x has an atmosphere of mostly nitrogen and planet y has an atmosphere of mostly carbon dioxide therefore what we can determine about the planets is that x is Earth while y is Venus.
What is Atmosphere?This is referred to as the envelope of gases surrounding the earth or another planet and it makes life possible by providing different organisms with air to breathe
In the atmosphere of the planet Venus there is a high concentration of carbon dioxide as it is made up of it is made of 96.5% of CO₂ and a 3% of nitrogen.
On the other hand in the atmosphere of the planet Earth, there is a high concentration of nitrogen which is about 78% and is therefore the reason why they were chosen as the correct choices.
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The speed of light in a certain glass is 1.91×10^8 meter per second. What is the refractive index of the glass?
Answer: 1.57
Explanation:
absolute refractive index = [tex]\frac{speed of light in air}{speed of light in a medium}[/tex]
[tex]= > \frac{3 * 10^{8} }{1.91* 10^{8} } \\= > 1.57[/tex]
1. a 1.4 x 103 kg car is westbound at a velocity of 37.0 km/h when it collides with a 2.0 x 103 kg truck northbound at a velocity of 35 km/h. if these two vehicles lock together upon collision, what is the initial velocity of the vehicles after collision? (7.2 m/s 37o w of n) 2. a 6.2 kg object heading north at 3.0 m/s collides with an 8.0 kg object heading west at 3.5 m/s. if these two masses stick together upon collision, what is their velocity after collision? (2.4 m/s 56o w of n) 3. a 4.0 x 104 n truck moving west at a velocity of 8.0 m/s collides with a 3.0x104 n truck heading south at a velocity of 5.0 m/s. if these two vehicles lock together upon impact, what is their velocity?(5.0 m/s 25o s of w)
The velocity of vehicles after the collision is 15.82m/sec if car mass is 1.4 × 10³kg and truck mass is 2×10³kg
We know that we need to conserve the momentum of watermelon in a certain direction. Also,we know that initial momentum of watermelon is zero,it means that according to law of conservation of momentum final momentum should be zero.
We know that momentum =mass × velocity
So,initial momentum of car is =1.4 × 10³kg × 37km/hr
Similarly,,initial momentum of truck=2×10³kg × 35km/hr
Now,it is given that both vehicles lock together,so total mass of both vehicles is =1.4 × 10³kg + 2×10³kg=3.4 ×10³kg
Assume final velocity of both vehicle is v
So,following the law of conservation,we get
=>1.4 × 10³kg × 37 + 2×10³kg × 35 = 3.4 ×10³ ×v
=>51.8 ×10³ + 2×10³=3.4×10³ ×v
=>53.8 ×10³ kg-m/sec = 3.4×10³ ×v
=>v = 53.8/3.4
=>v=15.82m/sec
Hence,final velocity of both vehicle after collision is 15.82m/sec.
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