The acceleration of the disk after 10 seconds is 2.5 m/s^2, a disk starts rotating from rest and accelerated uniformly to a velocity of 25 m/s in 10 seconds.
We can use the formula for uniform acceleration to solve this problem:
v = u + at
where:
v = final velocity = 25 m/s
u = initial velocity = 0 m/s (the disk starts from rest) t = time taken = 10 seconds
a = acceleration (unknown)
Rearranging the formula, we get:
a = (v - u) / t
Substituting the given values, we get:
a = (25 m/s - 0 m/s) / 10 s
Simplifying the expression:
a = 2.5 m/s^2
Therefore, the acceleration of the disk after 10 seconds is 2.5 m/s^2.
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A laser produces light of wavelength 615 nm in an ultrashort pulse.
What is the minimum duration of the pulse if the minimum uncertainty in the energy of the photons is 1.0%?
The minimum duration of the pulse is approximately 3.27 femtoseconds. This calculation is based on the uncertainty principle and the given uncertainty in energy, wavelength, and Planck's constant.
According to the uncertainty principle in quantum mechanics, there is a fundamental limit to the precision with which certain pairs of physical properties, such as energy and time, can be simultaneously known. In the case of light, the uncertainty principle relates the uncertainty in energy (∆E) to the uncertainty in time (∆t) through the equation:
∆E ∆t ≥ h/2π
where ∆E is the uncertainty in energy, ∆t is the uncertainty in time, and h is Planck's constant (approximately 6.626 × 10^(-34) J·s).
We are given the uncertainty in energy as 1.0% of the total energy of the photons. This can be expressed as:
∆E = 0.01 × E
where E is the total energy of the photons.
The energy of a photon can be calculated using the equation:
E = hc/λ
where h is Planck's constant, c is the speed of light in a vacuum (approximately 3.0 × 10^8 m/s), and λ is the wavelength of the light.
Substituting the given wavelength into the equation:
E = (6.626 × 10^(-34) J·s × 3.0 × 10^8 m/s) / (615 × 10^(-9) m)
E ≈ 3.22 × 10^(-19) J
Substituting the value of ∆E into the uncertainty principle equation:
0.01 × E ∆t ≥ h/2π
0.01 × (3.22 × 10^(-19) J) ∆t ≥ (6.626 × 10^(-34) J·s) / (2π)
0.01 × (3.22 × 10^(-19) J) ∆t ≥ 1.05 × 10^(-34) J·s
∆t ≥ (1.05 × 10^(-34) J·s) / (0.01 × 3.22 × 10^(-19) J)
∆t ≥ 3.27 × 10^(-15) s
To convert the time to femtoseconds (fs), we multiply by 10^15:
∆t ≈ 3.27 fs
Therefore, the minimum duration of the pulse is approximately 3.27 femtoseconds.
The minimum duration of the pulse is approximately 3.27 femtoseconds. This calculation is based on the uncertainty principle and the given uncertainty in energy, wavelength, and Planck's constant.
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when is the object at rest? in constant speed? accelerating?
Answer:
Answered in explanaion.
Explanation:
REST: When an object does not change its position with respect to its frame of reference or surrounding, then the object is said to be in the state of rest.
CONSTANT SPEED: When the object covers equal distance in equal intervals of time, the object is said to be moving with constant speed.
ACCELERATING: An object is said to be accelerating when the speed of the object increases with respect to time.
The Sun is in an important place during the Summer Solstice. Where is the Sun directly overhead?
Equator
Tropic of Cancer
North Pole
Tropic of Capricorn
Which of the following are the two factors used to calculate average
speed? *
a. total acceleration and total time
b. velocity and time
c. total distance and total time
d. motion and time
Answer:
i think its its c but im not positive :>
Explanation:
When ash from a volcano falls back to earth's surface
Answer:
Deposition
Explanation:
I searched it and saw this answer, so I hope it helps you.
"When a volcano erupts, ash can enter Earth's atmosphere. Eventually, the ash falls back down to Earth's surface. The term deposition describes the falling of volcanic ash to Earth's surface"
In an avalanche, a large amount of snow slides down a hill. What energy
conversion takes place during an avalanche?
A. Gravitational potential energy to kinetic energy
B. Kinetic energy to elastic potential energy
C. Elastic potential energy to kinetic energy
D. Kinetic energy to gravitational potential energy
Answer:
A
Explanation:
1) Andrew wanted to watch his dog run to see how fast he can to see what 1 point
his speed was. When his dog started running, he measured the distance of
17 meters in 9 seconds. What was his dog's speed?*
Answer:
Andrew's dog's speed was 1.89 m/s
Explanation:
Motion at Constant Speed
An object is said to travel at constant speed if the ratio of the distance traveled by the time taken is constant.
This can be written as the formula below:
\(\displaystyle v=\frac{d}{t}\)
Where
v = Speed of the object
d = Distance traveled
t = Time taken to travel d.
Andrew's dog run a distance of d=17 meters in a time of t=9 seconds, thus its speed was;
\(\displaystyle v=\frac{17}{9}\)
v = 1.89 m/s
Andrew's dog's speed was 1.89 m/s
A virtual image formed by convex lens is always
1. diminished
2. erect and magnified
3. inverted
4. formed in other side of the object
Answer:
2. erect and magnified
Answer is erect and magnified
what is the magnitude of the gravitational force exerted by earth on a 2.0- kg brick when the brick is resting on a table?
Magnitude of the gravitational force exerted by earth on a 2.0- kg brick when the brick is in rest is calculated to be 19.54 N.
What is gravitational force?The gravitational force pulls objects with mass towards each other. We often think about the force of gravity from Earth but this force is what keeps your body on the ground. Any object having mass exerts a gravitational force on all other objects with mass.
We say that gravitational force is attractive because it always pulls masses together and never pushes them apart. Gravitational force is directly proportional to the mass of both interacting objects such that, more the mass of, greater is gravitational force .
F= GMm/ R²
= (6.67 *10⁻¹¹ * 6 * 10⁻²⁴ *2)/(6.4* 10⁶)
= 19.54 N
the magnitude of the gravitational force exerted by earth on a 2.0- kg brick when the brick is at rest = 19.54 N
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Standard Number to Scientific Notation
1) 653,000
2) 129,430
3)2,263
4) 0.0148
0.0904
Answer:
1) 6.53 × 10^5
2) 1.2943 × 10^5
3) 2.263 × 10^3
4) 1.48 × 10^-2
5) 9.04 × 10^-2
At what location in this diagram do the magnetic field lines show that the magnetic field is strongest ?
The location in this diagram do the magnetic field lines show that the magnetic field is strongest is in C and wekeness in D.
What are magnetic field lines?The lines representing the magnetic field are closed, that is, they have no beginning or end. This can be observed when we place iron filings on a sheet of paper, over a bar magnet: the pattern of lines formed continues on the part of the paper that is on the magnet, closing.
In the region of the poles we see that the lines of magnetic induction are closer to each other, therefore, we consider that close to the poles the magnetic field is more intense. In this case it is stronger in C and weaker in D.
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Answer:
The strongest is C
Explanation:
Just took the test and got it right, I don't need to over-explain it
a student pushed a 100 N bicycle over a distance of 15 m in 5 s. calculate the power generated.
The catch in this one is: We don't know how much force the student used to push the bike.
It wasn't necessarily the 100N. That's just the weight of the bike. But you know that you can push a car, a wagon, or a bicycle hard, you can push it not so hard, you can give it a little push, you can give it a big push, you can push it strong, you can push it weak, you can push it medium. The harder you push, the more it'll accelerate, but it's completely up to you how hard you want to push. That's what's so great about wheels ! That's why they were such a great invention ! This is where I made my biggest mistake. This guy came into my store one day and said he's got this great invention, it's definitely going to take off, it'll be a winner for sure, he called it a "wheel". I looked at it, I turned it over and I looked on all sides. I thought it was too simple. I didn't know then it was elegant. I threw him out. I was so dumb. I could have invested money in that guy, today I would have probably more than a hundred dollars.
Anyway, can we figure out how much force the student used to push with ? Stay tuned:
-- The bike covered 15 meters in 5 seconds. Its average speed during the whole push was (15m/5s) = 3 meters/sec.
-- If the bike started out with no speed, and its average speed was 3 m/s, then it must have been moving at 6 m/s at the end of the push.
-- If its speed increased from zero to 6 m/s in 5 seconds, then its acceleration was (6m/s / 5 sec) = 1.2 m/s²
-- The bike's weight is 100N.
(mass) x (gravity) = 100N
Bikemass = (100N) / (9.8 m/s²)
Bikemass = 10.2 kilograms
-- F = m A
Force = (mass) x (acceleration)
Force = (10.2 kg) x (1.2 m/s²)
Force = 12.24 N
-- Work = (force) x (distance)
Work = (12.24 N) x (15 m)
Work = 183.67 Joules
-- Power = (work done) / (time to do the work)
Power = (183.67 joules) / (5 seconds)
Power = 36.73 watts
A tennis player hits a tennis ball, which leaves the
racket with an initial velocity of 44 m/s at an angle
of 37° above the horizontal. What are the horizontal
and vertical components of the tennis ball's initial
velocity?
vx=
vy=
how many strings of eight english letters are there that contain no vowels, if letters can be repeated?
There are 20,971,520 strings of eight English letters that contain no vowels when letters can be repeated.To calculate the number of strings of eight English letters that contain no vowels.
we need to consider the total number of possible choices for each letter position.
In the English alphabet, there are 26 letters, including five vowels (A, E, I, O, U) and 21 consonants.
Since we want to create strings without vowels, we can choose any of the 21 consonants for each position in the string.
For each of the eight positions in the string, there are 21 choices (consonants) available.
Therefore, the total number of strings can be calculated as:
Total number of strings = Number of choices for each position ^ Number of positions
Total number of strings = 21^8 = 20,971,520
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In a certain population of newts, being poisonous (P) is dominant over not being poisonous (p). You count 200 newts, and 8 are not poisonous. What are the allele frequencies of the parent population? 2- In a population you can find 3000 BB individuals, 3000 Bb. and 2000 bb. If the population is in equilibrium, what is the allele frequency of B and b? 3- After crossing fruit flies, the following F2 counts have been done. Can you tell if the genes encoding for this trait are linked or not? (Assume genes are on the autosomal chromosomes) Use Chi square, write your null hypothesis). i. Antcnaapcdia/Curly wings 18 ii. Normal antennae/normal wings 55 iii. Normal antennae/curly wings 31 iv. Antcnaapcdia/normal wings 21
The frequency of the P allele is 0.75, and the frequency of the p allele is 0.25.
The frequency of the B allele is 0.6, and the frequency of the b allele is 0.4. This is calculated using the Hardy-Weinberg equation: p^2 + 2pq + q^2 = 1, where p and q are the frequencies of the two alleles and p^2, 2pq, and q^2 are the frequencies of the three genotypes (BB, Bb, and bb). In this case, p^2 = 0.36 (3000/8000), 2pq = 0.48 (2*3000/8000), and q^2 = 0.16 (2000/8000).
The null hypothesis is that the genes encoding for this trait are not linked. To test this, we calculate the expected frequencies of the four genotypes under the assumption of no linkage and compare them to the observed frequencies using a chi-square test.
If the calculated chi-square value is less than the critical value for the given degrees of freedom and level of significance, we fail to reject the null hypothesis. If the calculated chi-square value is greater than the critical value, we reject the null hypothesis and conclude that the genes are linked.
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A galaxy cluster contains between _____ galaxies. 5,000 to 10,000 50 to 1,000 1,000 to 5,000 5 to 50 10,000 to 50,000
A galaxy cluster contains between 50 to 1,000 galaxies.
How far apart are galaxy clusters?A supercluster's galaxy clusters are frequently millions of light years apart from one another, making it difficult to estimate their distance with accuracy. The distance between us and the galaxy clusters in the Hydra Supercluster, which is around 100 million light years long, ranges from 105 to 160 million light years.
In accordance with this theory, groupings of dozens of galaxies are gravitationally drawn together to create galaxy clusters, which then combine to form clusters of hundreds or even thousands of galaxies.
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When a prismatic bar of circular cross section is subjected to pure torque:
a. All cross sections remain plane
b. Every cross section is subjected to the same internal torque, T
c. A diameter remains straight
d. All of these choices
When a prismatic bar of circular cross-section is subjected to pure torque, all of the given choices (a, b, c) are correct.
All cross-sections of the bar remain plane, meaning they do not deform or twist out of their original shape. Additionally, every cross-section is subjected to the same internal torque, denoted as T. Lastly, a diameter of the circular cross-section remains straight, maintaining its original alignment.
When a prismatic bar of circular cross-section is subjected to pure torque, the torque is applied at one end of the bar and creates a twisting moment throughout the length of the bar.
In this scenario, all cross-sections of the bar remain plane, meaning they do not deform or twist out of their original shape. This is because the torque acts parallel to the axis of the bar, causing the bar to rotate as a whole without any distortion of its cross-sections.
Additionally, every cross-section of the bar is subjected to the same internal torque, denoted as T. This means that the twisting effect experienced by each cross-section is equal in magnitude.
As a result, the stress distribution throughout the bar remains uniform, and all cross-sections experience the same level of torque. Furthermore, a diameter of the circular cross-section remains straight when a prismatic bar is subjected to pure torque.
This implies that the original alignment of a diameter is maintained, and it does not bend or deform due to the applied torque. The rotational force is transmitted uniformly across the cross-section of the bar without causing any distortion along the diameter.
In summary, when a prismatic bar of circular cross-section is subjected to pure torque, all cross-sections remain plane, every cross-section is subjected to the same internal torque, and a diameter of the circular cross-section remains straight. These characteristics are fundamental to the behavior of prismatic bars under torsional loading.
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______is the change from a liquid to a gas at a temperature below boiling point
In an experimental procedure to determine stress, the radial displacement u
r
at a known radius r is measured and it is known that the angular displacement u
θ
does not vary with angle θ. Which component of strain, expressed in polar coordinates, may be determined from the measurement? radial strain, ε
rr
shear strain, ε
rθ
hoop strain, ε
θθ
no strain component
The strain that can be expressed in polar coordinates is the radial strain, ε rr
What is the radial strain?Radial strain is a type of deformation or strain that occurs in a material when it is subjected to a load or stress that causes it to change shape.
It specifically refers to the change in dimensions of a material in the radial direction, perpendicular to the axis or center of the object.
When a material is subjected to radial stress or compression, it tends to deform by contracting or expanding in the radial direction.
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does frequency of the sound affect speed of sound
Answer:
One of the more important properties of sound is that its speed is nearly independent of frequency. ... Therefore, the relationship between f and λ is inverse: The higher the frequency, the shorter the wavelength of a sound wave. The speed of sound can change when sound travels from one medium to another.
a 0.00720-kg bullet is fired straight up at a falling wooden block that has a mass of 2.23 kg. the bullet has a speed of 601 m/s when it strikes the block. the block originally was dropped from rest from the top of a building and had been falling for a time t when the collision with the bullet occurs. as a result of the collision, the block (with the bullet in it) reverses direction, rises, and comes to a momentary halt at the top of the building. find the time t.
It will take the box 0.96275 sec of releasing before hitting the bullet to come at rest at the top of the building.
Let's in the down direction as negative and an upward direction as positive.
m = mass of the bullet = 0.00720 kg
M = mass of the wooden block = 2.23 kg
u = velocity of the bullet before striking the block = 601 ms⁻¹
V= velocity of the wooden block before the collision
Vc= velocity of the wooden block + bullet after collision = V
Using conservation of momentum
mu - MV = (m+M)V
(0.00720)(601) - 2.23 = (0.00720 + 2.75)*V
V = 2.0972/2.2228
V = 0.9435 ms⁻¹
Consider the motion of the wooden block in free-fall after being dropped:
V0 = Initial velocity of the wooden block = 0 ms⁻¹
a = acceleration of the wooden block = - 9.8 ms⁻²
t= time of travel
Vf= Final velocity of the wooden block = - 0.9.435 ms⁻¹
On the basis of the above set of data, we can use the kinematics equation
Vf = vo +at
-0.9435 = 0+ (-9.8)t
t = 0.96275
t = 0.96275 sec
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in the laboratory a student finds that it takes 161 joules to increase the temperature of 11.7 grams of solid magnesium from 24.5 to 38.9 degrees celsius.
Specific heat capacity of solid magnesium is 0.9556 J/g C.
What is specific heat capacity?
When a material's temperature rises by 1 K (or 1 °C), or when its mass increases by 1 kg, the specific heat capacity is defined as the amount of heat (J) absorbed per unit mass (kg). This measurement is expressed as J/(kg K) or J/(kg °C).
According to the given question:
C = Q/m.T
T = T2 - T1 = 38.9 - 24.5 = 14.4 C
C = 11.7/(161 x 14.4) = 0.9556 J/g C
Specific heat capacity of solid magnesium is 0.9556 J/g C.
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Which statement regarding fungi is correct?
(A) All fungi are able to grow as yeasts and molds.
(B) Although fungi are eukaryotes, they lack mitochondria.
(C) Fungi are photosynthetic.
(D) Fungi have one or more nuclei and chromosomes.
(E) Few fungi possess cell membranes.
(D) Fungi have one or more nuclei and chromosomes.
Fungi are eukaryotic organisms, and one of their defining characteristics is the presence of one or more nuclei and chromosomes within their cells.
This distinguishes them from prokaryotic organisms, which lack nuclei and chromosomes.
The other statements provided are incorrect, as not all fungi can grow as yeasts and molds, they do possess mitochondria, they are not photosynthetic, and they do have cell membranes.
Thus, the correct option is, (D) Fungi have one or more nuclei and chromosomes.
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4. A woman from Pasadena makes a trip to a nearby shopping mall that is located 40 miles from her home.
On the trip to the mall she averages 80 mi/hr but gets a speeding ticket upon her arrival. On the return
trip she averages just 40 mi/hr. What was her average speed for the entire trip?
Taking into account the definition of speed, you get that the average speed of the entire trip is 53.33 \(\frac{mi}{hr}\) .
It is necessary to know that speed is a quantity that expresses the relationship between the space traveled by an object and the time used for it.
In other words, speed can be defined as the amount of space traveled per unit of time with which a body moves and can be calculated using the expression:
\(speed= \frac{distance traveled}{time}\)
In this case, you know that the shipping mall is 40 miles from the woman's house and that she is going to the mall and back home. So it runs the 40 miles of distance twice. So the distance traveled is 80 miles.
On the other hand, you know that on the trip to the mall she averages 80 \(\frac{mi}{hr}\). Since the woman travels the first 40 miles at that speed, and taking into account the definition of speed, the time it takes to go to the shopping mall is calculated as:
\(80\frac{mi}{hr} = \frac{40 mi}{time}\)
Solving:
time× 80 \(\frac{mi}{hr}\)= 40 mi
\(time = \frac{40 mi}{80\frac{mi}{hr}}\)
time=0.5 hr
Finally, you know that on the return trip she averages just 40 \(\frac{mi}{hr}\). Since the woman travels the second 40 miles at that speed, and taking into account the definition of speed, the time it takes to return to her home is calculated as:
\(40\frac{mi}{hr} = \frac{40 mi}{time}\)
Solving:
time× 40 \(\frac{mi}{hr}\)= 40 mi
\(time = \frac{40 mi}{40\frac{mi}{hr}}\)
time=1 hr
Then, the total time of the trip, which consists of going to the shopping mall and returning home, is calculated as:
total time= 0.5 hr + 1 hr
total time= 1.5 hr
Finally, taking into account the definition of speed, average speed of the trip is calculated as:
\(speed= \frac{80 miles}{1.5 hr}\)
Solving:
speed= 53.33 \(\frac{mi}{hr}\)
In summary, the average speed of the entire trip is 53.33 \(\frac{mi}{hr}\) .
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brainly.com/question/15273551 brainly.com/question/9834403?referrer=searchResultswhich of the following statements about the drake equation is true? which of the following statements about the drake equation is true? we know all the terms in the equation within a few percent, except for the last term, f now. astronomical research will soon give us firm values for all the terms. some of the terms depend on sociological factors and therefore cannot be determined through astronomy alone. we currently know all the terms of the equation to an accuracy within a factor of two.
The statement that holds true is that some of the terms in the Drake Equation depend on sociological factors and cannot be determined solely through astronomy.
The statement that is true about the Drake Equation is that some of the terms depend on sociological factors and therefore cannot be determined through astronomy alone. The Drake Equation is a formula that attempts to estimate the number of active, communicative extraterrestrial civilizations in our galaxy. It consists of several variables representing different factors, such as the rate of star formation, the fraction of stars with planets, the number of planets capable of supporting life, the fraction of life that develops intelligence, and so on.
While astronomical research can provide estimates for many of the terms in the Drake Equation based on scientific observations and data, some terms, particularly those related to the development of intelligent civilizations, involve sociological factors that are beyond the scope of astronomy alone. These factors include the emergence of life, the evolution of intelligence, the development of technology, and the willingness of civilizations to communicate.
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The 200-mm test tube also contained some water (besides the metal) that was subsequently added to the calorimeter (in Part A.4.). Considering a higher specific heat for water, will the temperature change in the calorimeter be higher, lower, or unaffected by this technique error?
Answer:
The temperature change in the calorimeter will be lower
Explanation:
Water is an example of a molecular substance. They have relatively low melting points and boiling points usually below 300° C . Water reacts with metals to a degree varying with their position in the electrochemical series.
The specific heat of water is 4179.6 Joules which is relatively high . This typically implies that water absorbs a larger amount of heat but the increase in temperature of its boiling points is relatively low. Thus; in the 200-mm test tube that contains water and was subsequently added to the calorimeter , the heat present was initially absorbed by the water and that does not result to an increase in the temperature change in the calorimeter. Thus the temperature change in the calorimeter will be lower.
Determine the frequency of an electromagnetic wave with a wavelength of 3. 40x10-6 meters
The frequency of the electromagnetic wave with a wavelength of 3.40 x \(10^{-6}\) meters is approximately 8.82 x \(10^{13}\) Hz.
The wavelength of the electromagnetic surge in the presented situation is3.40 x\(10^{-6}\) metres. We may cipher the frequence by fitting this number into the equation f = c/. It's 8.82 x 1013 Hz. This indicates that the electromagnetic surge with a wavelength of3.40 x \(10^{-6}\) metres has a terahertz frequence.
Electromagnetic swells of colorful wavelengths and frequentness have different rates and are employed for a variety of purposes. Radio swells, for illustration, have long wavelengths and low frequentness, making them ideal for carrying data across large distances. X-rays, on the other hand, have short wavelengths and high frequentness that enable them to access accoutrements and give detailed filmland of the mortal body.
f = c / λ
f = 3.00 x \(10^{8}\) m/s / 3.40 x \(10^{-6}\) m
f = 8.82 x\(10^{13}\) Hz
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If we have a velocity of 20 m/s and our acceleration is -5 m/s, then after 2 seconds our velocity will be....
a) 15 m/s
b) 40 m
c) 10 m/s
d) -10 m/s
Answer:
v = 10 m/s
Explanation:
We have,
Our initial velocity is 20 m/s
Our acceleration, \(a=-5\ m/s^2\)
It is required to find the velocity after 2 seconds. It is a concept based on equation of kinematics. Using first equation:
\(v=u+at\)
Plugging all the known values
\(v=20+(-5)(2)\\\\v=10\ m/s\)
So, our final velocity is 10 m/s.
How many dots belong in the electron dot diagram of a boron (B) atom?
three
five
eight
thirteen. pls let me know I have been working on this for 9 hours
The answer is five dots.
sorry i meant three dots not five
What are the similarities of gravity and air resistance?
Answer: Gravity or Air Resistance. As you saw and read on the previous screens, the force of gravity causes an object to accelerate toward the ground. However, the force of air resistance counteracts gravity and affects how fast an object falls. In this activity, you will compare the forces of gravity and air resistance.
Explanation: