The ballplayer's speed when making the catch is 0.049 m/s. If the 140 g ball is travelling 27 m/s in a horizontal direction.
What ballplayer is at the highest point of his leap?Galileo Galilei, an Italian physicist, is credited with being the first to calculate speed by dividing it by the distance travelled and the time required. Galileo defined speed as the amount of distance travelled in a given amount of time.
Speed with a direction is called velocity. A speed is defined as 9 km/h (kilometres per hour) for Ariel the Dog. Yet, stating that he runs 9 km/h westwards is a speed. Think about anything that is moving quickly back and forth but has a low (or zero) velocity
Therefore, If the 140 g ball is moving at 27 m/s in a horizontal direction, the ballplayer's speed when making the catch is 0.049 m/s.
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The International Space Station (ISS) orbits the Earth every 90 minutes. The Earth has an average radius of 6371 km and an approximate mass of m = 5.97 × 1024 kg. The gravitational force between two massive objects is calculated using the following formula: =∙m1m2,where=6.674×10−11m3⁄kg∙s2 If we assume the Earth to be spherical and the ISS orbit perfectly circular: a) Calculate the angular velocity of the ISS. (1) b) Calculate the height above the Earth’s surface at which the ISS orbits. (5) c) Calculate the tangential (linear) speed the ISS must travel to maintain this orbit. 2 Give your answer in km/h, rounded to the nearest whole number.
The angular velocity of the ISS is 0.012 rad/s. the height above the Earth's surface at which the ISS orbits is 408 km. the tangential speed of the ISS is 7 km/s.
a) Calculate the angular velocity of the ISS.
The angular velocity of the ISS can be calculated using the following formula:
ω = v / r
where:
ω is the angular velocity in radians per second
v is the tangential velocity in meters per second
r is the radius of the orbit in meters
The tangential velocity of the ISS is the speed at which it travels along the circumference of its orbit. The radius of the ISS's orbit is the distance from the center of the Earth to the ISS.
In this case, the tangential velocity of the ISS is 7.66 kilometers per second. The radius of the ISS's orbit is 6371 kilometers. Therefore, the angular velocity of the ISS is:
ω = 7.66 km/s / 6371 km = 0.012 rad/s
b) Calculate the height above the Earth’s surface at which the ISS orbits.
The height above the Earth's surface at which the ISS orbits can be calculated using the following formula:
h = r * (1 - (1 - e^2)^(1/2))
where:
h is the height above the Earth's surface in meters
r is the radius of the Earth in meters
e is the eccentricity of the orbit
The eccentricity of the ISS's orbit is 0.016. Therefore, the height above the Earth's surface at which the ISS orbits is:
h = 6371 km * (1 - (1 - 0.016^2)^(1/2)) = 408 km
c) Calculate the tangential (linear) speed the ISS must travel to maintain this orbit.
The tangential speed of the ISS can be calculated using the following formula:
v = ω * r
where:
v is the tangential speed in meters per second
ω is the angular velocity in radians per second
r is the radius of the orbit in meters
The angular velocity of the ISS is 0.012 rad/s. The radius of the ISS's orbit is 6371 kilometers. Therefore, the tangential speed of the ISS is:
v = 0.012 rad/s * 6371 km = 7.66 km/s
rounded to the nearest whole number: 7 km/s
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A 24n force causes a 2.0 kg mass to accelerate at 8.0m s^(-2) along a horizontal surface. the coefficient of dynamic friction is
Answer:
Explanation:
Let \(F_{R}\) be the frictional force.
\(F_{net} = F_{applied}-F_{R}\)
2*8=24-\(F_{R}\)
\(F_{R}=24-16=8N\)
\(F_{g}=mg = 2*10 = 20N\)
Coefficient of friction = \(\frac{F_{R}}{F_{g}}\)
=8/20=2/5=0.4
The coefficient of friction = 0.4
While Robert was helping his father in the garden, he pushed a shovel into the ground to dig a hole in the dirt. He picked up a shrub, carried it to the
hole, and held it while he lowered it into the hole. During which parts of this process does Robert NOT do work? Choose the two statements that apply.
A. He pushed a shovel into the ground to dig a hole.
B. He picked up a shrub.
C. He carried it to the hole
D. He held it while he lowered it into the hole
Work done is given by the change in kinetic energy of an object
The kinetic energy of the shovel, the shrub, and in Robert's movement were changed, therefore, work is done in the given processes,Reason:
Work is done when the total energy of object is affected by the application of force on the object over a distance
Therefore;
In option A, pushing the shovel into ground (to dig out the dirt) the requires the application of a force (push) over a distance, (into and out of the ground) therefore work is doneIn option B, picking the shrub up gives it gravitational potential energy, therefore, work is doneIn option C, carrying the shrub to the hole does visible workIn option D, holding the shrub while lowering it into the hole does work by preventing the shrub from falling randomlyTherefore, work is done in the given processes
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Help: The diagram below illustrates a light ray bouncing off a surface. Fill in the boxes with the correct terms.
The correct terms that fills the box are;
(i) The incident ray
(ii) The normal
(iii) The reflected ray
(iv) The angle of incident
(v) The reflected angle
What is the terms of the ray diagram?The terms of the ray diagram is illustrated as follows;
(i) This arrow indicates the incident ray, which is known as the incoming ray.
(ii) This arrow indicates the normal, a perpendicular line to the plane of incidence.
(iii) This arrow indicates the reflected ray; the out going arrow.
(iv) This the angle of incident or incident angle.
(v) This is the reflected angle or angle of reflection.
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Problems 9 and 10 are related to the following situation: It's a dirty little Menlo
secret that every time the floors in Stent Hall are waxed, Mr. Colb likes to slide
down the hallway in his socks. Mr. Colb weighs 950 N and the force of friction
acting on him is 100 N.
●
Calculate Mr. Colb's acceleration down the hall.
Oh no! There's an open door leading nowhere at the end of the second floor
hallway! Mr. Colb is traveling at 2.8 m/s when he becomes a horizontally
launched projectile and plummets to the ground below (don't worry, he lands
on a pile of backpacks and only his pride is injured). If the window is 3.7 m
high, calculate how far from the base of the wall Mr. Colb lands.
Mr. Colb's acceleration down the hallway is 0.91 m/\(s^2\) as per the given data.
What is acceleration?Acceleration is the rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates.
To calculate Mr. Colb's acceleration down the hallway, we can use the formula:
a = (F - f) / m
a = (F - f) / m
a = (950 N - 100 N) / (950 kg * 9.81 m/\(s^2\))
a = 0.91 m/\(s^2\)
To calculate how far from the base of the wall Mr. Colb lands, we can use the equations of motion for a projectile:
y = yo + voyt + 0.5a\(t^2\)
x = xo + voxt
y = yo + voyt + 0.5a\(t^2\)
3.7 m = 0 m + 0 m/s * t + 0.5 * 9.81 \(m/s^2\) x \(t^2\)
t = 0.89 s
Now we can use the horizontal equation of motion to calculate how far Mr. Colb travels horizontally in 0.89 s:
x = xo + vox x t
x = 0 m + 2.8 m/s x 0.89 s
x = 2.49 m
Thus, Mr. Colb lands 2.49 meters away from the base of the wall.
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A train burns coal to power its engine. The engine makes the train move.
What kind of energy transformation is taking place?
Answer: mechanical energy to power the train.
Explanation:
Question 7 of 25Concave lenses havefocal lengths and always formimages.O A. negative; virtualO B. positive; virtualO C. positive; realO D. negative; realSUBMIT
Concavelenses have negative focal length and tlways form virtual images.
The focal length is negative as it lies on the left side of lenses.
Sort the balloons based on the kinds of charges they carry.
first one is negative
second is none
third is posotive
last one is negative
left to right order
Answer:
Explanation:
thats the answer
What occurs when air moves from an area of high pressure to an area of lower pressure
Ph11_UnitPacket2019
Page 30 of 38
3. A ray of light travels from air into a liquid. The ray is incident upon the liquid at an angle of 30.0 degrees
The angle of refraction is 19.9º.
a. What is the index of refraction for the liquid? 1901
1999
thin liquid could be.
Let's see
Use snells law
\(\\ \rm\Rrightarrow \dfrac{n_1}{n_2}=\dfrac{sini}{sinr}\)
\(\\ \rm\Rrightarrow \mu=\dfrac{sin30}{sin19.9}\)
\(\\ \rm\Rrightarrow \mu=0.5/0.34\)
\(\\ \rm\Rrightarrow \mu=1.47\)
It may be glass
(i) An object has moved through a distance. Can it have
zero displacement? Justify your answer with an
example.
(ii) Define acceleration using your own
words.
Yes, an object can have zero displacement even if it has moved through a distance.
Displacement is a vector quantity that represents the change in position from the initial point to the final point.Yes, an object can have zero displacement even if it has moved through a distance. It takes into account the direction of motion as well as the magnitude.To illustrate this, consider a scenario where an object moves in a circular path and returns to its initial position. In this case, the object has covered a certain distance along the circumference of the circle. However, since it ends up at the same position it started, the displacement is zero because there is no change in its position relative to the initial point.
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A 3.00 V battery is connected to the ends of a length
of constantan wire of resistance 12.1 Ohms. Calculate the
charge that flows through the wire in 60 s. Write down
any equations you use. Give your answer to three
significant figures.
Charge=
______C [5 marks]
Answer: The charge that flows through the wire in 60 s is 14.87 C.
Explanation: The charge that flows through the wire in 60 s can be calculated using the formula:
Charge = Current x Time
The current can be calculated using Ohm’s law:
Current = Voltage / Resistance
Substituting the given values:
Current = 3.00 V / 12.1 Ohms = 0.2479 A
Charge = 0.2479 A x 60 s = 14.87 C
Hope this helps, and have a great day! =)
An object originally at rest, is accelerated uniformly along a straight line to a speed of 8m/s in 2s. What is the acceleration of the object?
Answer:
4m/s²
Explanation:
Initial velocity (u) = 0 m/s
Final velocity (v) = 8 m/s
Time taken (t) = 2 sec
Acceleration (a) = ?
We know
\(a = \frac{v - u}{t} \\ = \frac{8 - 0}{2} \\ = \frac{8}{2} \\ = 4 \: m |s ^{2} \)
Hope it will help :)
at which wavelength range is there no current or planned space observatory?
As of my knowledge cutoff in September 2021, there is no current or planned space observatory specifically dedicated to observing electromagnetic radiation in the mid-infrared range, roughly from 5 to 20 micrometers (μm) in wavelength. This range is often referred to as the "thermal infrared" as it corresponds to the thermal radiation emitted by objects at room temperature or higher.
While space observatories like the Spitzer Space Telescope have made significant contributions to mid-infrared astronomy, their missions have either ended or are focused on other wavelength ranges. The James Webb Space Telescope (JWST), set to launch in late 2021, will have some capability in the mid-infrared range but will primarily operate in the near-infrared.
However, it's worth noting that the field of mid-infrared astronomy is not neglected. Ground-based observatories and instruments, such as those equipped with adaptive optics or interferometry, continue to advance our understanding of the mid-infrared universe. Additionally, future mission concepts and technology developments may lead to dedicated space observatories for the mid-infrared range.
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The gas in a balloon has T=280K and V=0.0279m^3. If the temperature increases to 320K at constant pressure, what is the new volume of the balloon? (Hint: n and P are constant) (Unit= m^3)
Answer:
\(\boxed{ V_{2}= 0.03189 m^3}\)
Explanation:
According to Charles Law
=> \(\frac{V_{1}}{T_{1}} = \frac{V_{2}}{T_{2}}\)
Where \(V_{1}\) = 0.0279 m³, \(T_{1}\) = 280 K and \(T_{2}\) = 320 K
=> \(\frac{0.0279}{280} = \frac{V_{2}}{320}\)
=> \(V_{2}\) = 0.03189 m³
Which of the below is an action-oriented objective in a SMART goal setting system?
A) Increase my running speed to an 8 1/2-minute mile pace.
B) Run on the trail 4 times a week.
C) Complete the Rock 'n Roll marathon next year.
D) Increase my distance by one-half mile every other week
The action-oriented objective in a SMART goal setting system is option D) Increase my distance by one-half mile every other week.
This objective is specific, measurable, achievable, relevant, and time-bound. It is specific because it defines a clear action to be taken (increasing distance), measurable because it includes a specific metric (one-half mile), achievable because it is realistic to increase distance gradually, relevant because it aligns with the goal of completing a marathon, and time-bound because it specifies a regular interval (every other week) for progress tracking. Options A, B, and C are also specific and measurable but lack the regular interval and gradual progression aspects of a SMART goal.
In a SMART goal setting system, an action-oriented objective is one that focuses on specific actions to achieve the desired outcome. Among the given options, B) Run on the trail 4 times a week is the most action-oriented objective. This objective clearly outlines the action (running on the trail) and the frequency (4 times a week), making it easier to track progress and achieve the goal. The other options focus more on outcomes or results, which are important aspects of a goal, but they do not explicitly state the specific actions needed to reach those outcomes.
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Many roller coasters function by mechanically transporting the cars up a large incline. The cars then roll down and up a series of hills, turns, and spirals until the cars come to rest at the passenger loading station. At which point will the roller coaster have the greatest amount of gravitational potential energy?
at the top of the highest point
The roller coaster will have the greatest amount of gravitational potential energy at the top of the highest point.
Gravitational potential energy is the energy possessed by an object due to its position in a gravitational field. As the roller coaster is transported up the large incline, it gains potential energy, which is converted to kinetic energy as it rolls down the hills, turns, and spirals. At the top of the highest point, the roller coaster has reached its maximum height and thus has the highest potential energy.
As it begins to descend, the potential energy is converted to kinetic energy, allowing the roller coaster to move through the rest of the track until it comes to rest at the passenger loading station.
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--The complete question is, Many roller coasters function by mechanically transporting the cars up a large incline. The cars then roll down and up a series of hills, turns, and spirals until the cars come to rest at the passenger loading station. At which point will the roller coaster have the greatest amount of gravitational potential energy?--
28,800 C of charge flow through a lamp every hour. Calculate the current used by this lamp
This lamp's estimated current consumption is 8 amperes.
What is electric current ?Electric current is the rate of charge (electron) passing in a conductor. The SI unit for electric current is the ampere. As current does not obey vector addition, it is a scalar quantity.
Given information:
amount of charge flowing through the lamp, Q = 28800 C;
The charge flow time was t = 1 hour = 3600 seconds.
Hence, the current passing through the bulb as a result.
I = Q/t
= 28800/3600 ampere,
= 8 ampere
Therefore, this lamp consumes 8 amperes of current.
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What are the 3 ideal gas laws?
Answer:
Boyle's law, Charles's law, and Avogadro's law
Explanation:
Eileen, who is currently paying $1,080 per year in finance charges to her credit card company, wants a car that costs $9,000. How long would it have taken Eileen to save for the outright purchase of the car if she did not have any credit card debt and used the interest payments to save for the purchase of the car? Eileen can invest funds in an account paying 4% interest. To save for the outright purchase of the car, it would take Eileen years
It would take Eileen approximately 6.25 years to save for the outright purchase of the car if she used the interest payments from her credit card debt to accumulate savings.
To calculate the time it would take Eileen to save for the outright purchase of the car using the interest payments from her credit card debt, we need to consider the finance charges she pays and the interest she earns on her savings.
Given:
Finance charges paid per year = $1,080
Cost of the car = $9,000
Interest rate on savings = 4%
First, we need to determine how much Eileen can save each year by using the finance charges. This amount is equal to the finance charges paid per year, which is $1,080.
Next, we calculate the interest Eileen can earn on her savings each year. This can be calculated using the interest rate of 4% on her savings.
Now, we can calculate the number of years it would take Eileen to save enough to purchase the car outright by dividing the cost of the car by the savings she can accumulate each year.
Number of years = Cost of the car / (Savings per year + Interest earned per year)
Substituting the given values into the equation:
Number of years = $9,000 / ($1,080 + ($9,000 * 0.04))
To evaluate the number of years it would take Eileen to save for the outright purchase of the car, let's substitute the given values into the equation:
Number of years = $9,000 / ($1,080 + ($9,000 * 0.04))
Number of years = $9,000 / ($1,080 + $360)
Number of years = $9,000 / $1,440
Number of years ≈ 6.25 years
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a sinusoidal voltage is displayed on an oscillating screen. the separation on the screen between two adjacent peaks
The separation on the screen between two adjacent peaks would be 4 milliseconds.
The separation on the screen between two adjacent peaks of a sinusoidal voltage depends on the frequency of the signal. The frequency represents the number of complete cycles (peaks) that occur in one second and is measured in Hertz (Hz).
To determine the separation between two adjacent peaks, you need to know the time period or the frequency of the sinusoidal voltage. The time period is the reciprocal of the frequency, given by the formula:
Time Period (T) = 1 / Frequency (f)
Once you have the time period, you can determine the separation between two adjacent peaks by dividing the time period by the number of cycles. For example, if the time period is 0.02 seconds (T = 0.02 s) and there are 5 cycles in this time period, the separation between two adjacent peaks would be:
Separation = Time Period / Number of Cycles
Separation = 0.02 s / 5 = 0.004 s or 4 milliseconds
Therefore, in this example, the separation on the screen between two adjacent peaks would be 4 milliseconds.
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you are given a 10 kg sample of nitrogen-13 which has a half-life of 996 minutes. how much of that sample will be nitrogen-13 after 2988 minutes (three half-lives) have elapsed?
We will have 1.25 kilograms of nitrogen-13 left in the sample after three half-lives, or 2988 minutes, have passed.
The radioactive decay of nitrogen-13 is governed by the following equation:N-13 → C-13 + e+ + ν (1)
The decay of nitrogen-13 to carbon-13 releases a positron and a neutrino. Because mass is conserved in the decay process, the sum of the masses of the nitrogen-13 and positron must be equal to the mass of the carbon-13 and neutrino. Furthermore, the charge must be conserved; the nucleus of the nitrogen-13 has a charge of 7, whereas the carbon-13 nucleus has a charge of 6.
As a result, a proton is transformed into a neutron and a positron is released. Because the half-life of nitrogen-13 is 996 minutes,
the decay constant λ is λ=0.693/t1/2=(0.693/996 minutes) = 0.0006955 min-1
Thus, after t minutes, the quantity N of radioactive nitrogen-13 remaining in the sample is given by:
N = N0 e–λt
where N0 is the initial quantity of nitrogen-13 in the sample.
Initially, we had 10 kilograms of nitrogen-13 in the sample; thus N0=10 kg. We need to find N after 2988 minutes (three half-lives),
so we'll substitute that value into our equation:N = N0 e–λt
N = 10 e–0.0006955 x 2988
N = 10 x 0.125
N = 1.25 kg
After 2988 minutes (three half-lives), 1.25 kilograms of nitrogen-13 will remain in the sample.
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Shine the flashlight on the liquid crystal sheet. Did you observe evidence that light carries energy?
Answer:
no i did not observe anything
Explanation:
magnification can be accomplished with a hologram when viewed with light that has a
Magnification can be achieved with a hologram when viewed with light that has a short wavelength.
In a hologram, light passes through an object and onto a photographic film, producing an interference pattern. The hologram is then illuminated by a laser or other monochromatic light source, causing the interference pattern to be recreated and appear as a three-dimensional image.
Holography is a technique that uses the wave properties of light to produce a three-dimensional image of an object. It was invented by Hungarian-British physicist Dennis Gabor in 1947. Holograms are made by recording the interference pattern produced when a beam of laser light is split into two beams, one of which is shone directly onto a photographic film, and the other of which is made to reflect off an object before reaching the film.
The size of the interference pattern on the film is related to the wavelength of the light used. Shorter wavelengths produce smaller interference patterns, which result in higher magnification. This means that the hologram can be viewed with light that has a short wavelength, such as blue or violet light, in order to achieve magnification. The use of holography has many practical applications, including in medicine, security, and entertainment.
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A basketball player drops a 0.60 kg basketball vertically so that it is traveling 6.0 m/s when it reaches the floor. The ball rebounds upward at a speed of 4.2 m/s. (a) Determine the magnitude and direction of the ball’s change in momentum. (b) Determine the average net force that the floor exerts on the ball if the collision lasts 0.12s.
The magnitude of the change in momentum is therefore 6.12 kg*m/s, and the direction is downward and the floor exerts an average net force of 51 N upward on the ball during the collision.
(a) To find the magnitude and direction of the ball's change in momentum, we need to first find the initial and final momenta of the ball. The initial momentum is given by:
\(p_i = m*v_i\)
where m is the mass of the ball, and \(v_i\) is the initial velocity of the ball before it hits the floor. Substituting the given values, we get:
\(p_i\) = (0.60 kg)(6.0 m/s) = 3.6 kg*m/s
The final momentum is given by:
\(p_f = m*v_f\)
where \(v_f\) is the velocity of the ball after it rebounds from the floor. Substituting the given values, we get:
\(p_f\)= (0.60 kg)(-4.2 m/s) = -2.52 kg*m/s
Note that the negative sign indicates that the direction of the final momentum is opposite to that of the initial momentum.
The change in momentum is given by:
Δp = \(p_f - p_i\)
Substituting the calculated values, we get:
Δp = -2.52 kgm/s - 3.6 kgm/s = -6.12 kg*m/s
The magnitude of the change in momentum is therefore 6.12 kg*m/s, and the direction is downward.
(b) To find the average net force that the floor exerts on the ball, we can use the impulse-momentum theorem:
Δp = \(F_avg\) * Δt
where Δt is the time duration of the collision. Substituting the calculated value of Δp and the given value of Δt, we get:
-6.12 kg*m/s = \(F_avg\) * 0.12 s
Solving for \(F_avg\), we get:
\(F_avg\) = -6.12 kg*m/s / 0.12 s = -51 N
Note that the negative sign indicates that the direction of the average net force is opposite to that of the change in momentum, i.e., upward. Therefore, the floor exerts an average net force of 51 N upward on the ball during the collision.
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A binary star system is made of stars, one of which is brighter than the other. Astronomers are able to detect the dimmer star because its\
A binary star system is made of stars, one of which is brighter than the other. An astronomers are able to detect the dimmer star because its gravity causes the bright star to wobble.
What is a binary star system?Basically, a star means giant astronomical or celestial object that contains a luminous sphere of plasma and bounded together by its own gravitational force. A binary star system refers to a star system that typically comprises two stars that includes a brighter star and dimmer star.
The dimmer star are easily detectable by astronomers because its gravity causes the bright star to wobble and can be spotted by astronomers through an observation of a phenomenon that is referred to as an eclipsing binary.
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Exam
You push on a shovel then the
shovel pushes on dirt. The force
you apply to the shovel is the
input force. The shovel then
pushing on the dirt is known as
what?
A. Output work
B. Input work
C. Input force
D. Output force
List and explain at 5 hazards
of radioactivity
Answer:
1 can damage chromosomes
2 reduction in white blood cells ( will recover In Couple of days )
3 sickness
4 Temporary Reduction of Resistance.
Have a great Day!!
9. If the frequency of a certain light is 3.8 x 1024 Hz, what is the energy of this light?
Answer:
E=hf
Were, h = Planck constant 6.67*10^11
E=3.8*10^24 * 6.67*10^11= 2.508*q0^36j
Which of the following statements is true?
1.Heat is transferred in solids by convection.
2.Both liquids and gases are fluids.
3.Temperature is the same as heat.
4.Objects moving through air don't experience friction.