Answer: B) 14.7 meters
============================================================
Explanation:
The bottle cap is a projectile, so we'll use the aptly named projectile formula
That formula (the meters version of it anyway) is approximately
h = -4.9t^2 + v*t + s
where,
t = elapsed time in secondsh = height at time tv = starting velocitys = starting heightWe'll assume that s = 0, though realistically it's probably going to be a bit larger than this (since the person is holding it above the ground). For the sake of simplicity, we'll stick with s = 0.
We're told that the initial velocity is 17 m/s, which means v = 17.
All of that means the formula mentioned earlier updates into this:
h = -4.9t^2 + 17t
If we were to graph this, or apply the -b/(2a) formula, then you should find that the vertex occurs when t = 1.73469 approximately.
Plug this into the equation we found to get...
h = -4.9t^2 + 17t
h = -4.9(1.73469)^2 + 17(1.73469)
h = 14.7449
h = 14.7
The bottle cap will reach a peak height of approximately 14.7 meters and does so at around the 1.7 second mark. The total flight time is approximately 2*1.7 = 3.4 seconds. This all assumes that the starting height and ending height are both 0 meters off the ground.
The soda will go as high as 14.7 meters. Therefore, option (B) is correct.
What is the conservation of energy principle?We can solve this problem using the conservation of energy principle, which states that the initial energy of a system is equal to the final energy. At the start, the soda in the bottle has some potential energy due to its position and kinetic energy due to its motion. When the soda shoots out of the bottle, it converts all of its initial energy to potential energy as it reaches its maximum height.
Using the conservation of energy, we can write:
Initial energy = Final energy
[tex]0.5 * m * v^2 = m * g * h[/tex]
where m is the mass of the soda, v is its velocity, g is the acceleration due to gravity ([tex]9.8 m/s^2[/tex]), and h is the height it reaches.
Solving for h, we get:
h = [tex](v^2)/(2g) = (17^2)/(29.8)[/tex]= 14.7 m
Therefore, the soda will go as high as 14.7 meters. Option B is correct.
Learn more about the conservation of energy principle, here:
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astone is thrown upwards with an initial velocity of 25m/s at ange of 30 to the ground. work out the stones horizantal range?
Explanation:
[tex]R = \dfrac{v_0^2}{g}\sin{2\theta} = \dfrac{(25\:\text{m/s})^2}{9.8\:\text{m/s}^2}\sin{60°}[/tex]
[tex]\:\:\:\:=55.2\:\text{m}[/tex]
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Four forces act as shown in the
diagram below, calculate their
resultant.
12N
10N
40
30
60°
15N
9N
iAnswer:
The resultant vector force = 6.96i - 9.27j
The magnitude = 11.6N
The direction= -53.1 °
Explanation:
i= 10×cos(30) + 15×cos(-60) + 9×cos(-90) + 12×cos(140) = 6.96
j= 10×sin(30) + 15×sin(-60) + 9×sin(-90) + 12×sin(140) = -9.27
which part of vernier caliper is used to measure external diameter of cylinder?
[tex]{\huge{\pink{↬}}} \: \: {\huge{\underline{\boxed{\bf{\pink{Answer}}}}}}[/tex]
The lower jaws present in the vernier callipers is used to measure the external diameter or thickness of pencils etc...
A student is making a model of the famous Giza pyramid,
which has four triangular sides and a square base. The
scale of the model is 1:1,000.
How many sides should the model pyramid have?
Answer:
The Great Pyramid of Giza (also known as the Pyramid of Khufu or the Pyramid of Cheops) is the oldest and largest of the pyramids in the Giza pyramid complex bordering present-day Giza in Greater Cairo, Egypt.It is the oldest of the Seven Wonders of the Ancient World, and the only one to remain largely intact.
Explanation:
write any three differences between metals and nonmetals
Metals Non-metals
They are solid at room temperature. They may be solid, liquid and gas at room temperature.
They have high melting and boiling points. They have low melting and boiling points.
They are good conductors of heat and electricity. They are bad conductors of heat and electricity.
If a car goes down Lake at 30 miles per hour how far will it go in 0.25 hours?
Answer:
7.5 miles
Explanation:
0.25 hours=15minutes.
So you do
30 miles=60minutes
x =15minutes
cross multiply
Ans-7.5
Carnot Engine: A Carnot cycle consists of 179) A) four adiabats. B) two adiabats and two isobars. C) four isotherms. D) two adiabats and two isotherms. E) two isobars and two isotherms
Answer:
which question is this
Explanation:
I don't understand sorry
A human hair is approximately 50 pm in diameter. Express this diameter in meters.
A human hair is approximately 50 μm = 5 × 10⁻⁵ m in diameter
What is the formula for the speed of an object, using distance and time? In m/s.
The answer you are looking for is S=D/T, which is the formula.
It is also read as Speed=Distance/Time, or Speed=Distance divided by Time.
The "S" stands for "Speed."
The "D" stands for "Distance."
The "T" stands for "Time."
I hope this has helped answer your question. Enjoy your day, and take care.
Answer:
The formula is S=D/T.
Explanation:
What is the velocity of an object that moves from 73 m to 62 m in 15 s?
Answer:
Below
Explanation:
You can use this formula to find the velocity of an object
velocity = displacement / change in time
For this problem, we need to find displacement first
To find displacement all you need to do is find the difference between the two distances!
So our displacement here would be
73 - 62 = 11 m
Now that we have displacement we can find velocity
velocity = 11 / 15
= 0.733333....
= 0.73 m/s
Hope this helps! Best of luck <3
The velocity of an object that moves from 73 m to 62 m in 15 s is 0.73 m / s.
What is velocity?When an item is moving, its velocity indicates how quickly its location is changing as seen from a specific point of view and as measured by a specific unit of time.
If a point travels a specific distance along its path in a predetermined amount of time, its average speed throughout that time is equal to the traveled distance divided by the travel time. For instance, a train traveling 100 km in two hours is moving at an average speed of 50 km/h.
Given:
The distance of the object = 73 m to 62 m,
The time taken by the object, t = 15 s,
Calculate the displacement of the object = 73 - 62 = 11 m
Calculate the velocity by the formula given below,
[tex]v = d /t[/tex]
v = 11 / 15
v = 0.73 m / s
Therefore, the velocity of an object that moves from 73 m to 62 m in 15 s is 0.73 m / s.
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Bradd stands 6km west of a flagpole, and runs towards it with a speed of 9km/h. Pitt stands 5km east of the flagpole, and runs towards it with a speed of 8km/h. At what displacement from the flagpole are they when they meet?
Answer:
176 m west of the flagpole.
Explanation:
In exact and precise interpretation of the question the answer is 0 m as they would both crash into the pole when they got there and presumably stop having suffered broken noses and serious groin injuries.
However my GUESS as to the intent of the question is that the first to reach it will sidestep the flagpole slightly and continue on their current path until they meet and slap a high five as they pass one another.
In that case, they have 6 + 5 = 11 km to traverse at a closing rate of 9 + 8 = 17 km/hr.
They will meet in 11 km / 17 km/hr = 0.647 hrs
Bradd will have covered 9 km/hr(0.647 hr) = 5.823 km
meaning that they will be 6 - 5.823 = 0.176 km or 176 m west of the flagpole.
Pitt will have covered 8 km/hr(0.647 hr) = 5.176 km
meaning they will be 5 - 5.176 = - 0.176 km east which equals 0.176 km west of the flagpole
For an electron, magnitude of force on it
is
Select one
• Bev
bev
Be
BIL
Answer:
F = Bev
Explanation:
B is magnetic field density
e is the electron charge
v is the electron velocity
I'm completely stumped as to how to do this.
I know the components of f1 are f1x= 1600, f1y=0, f2x= 433 f2y=250 and f3x= 467
Explanation:
You have already determined the components of the known forces so I won't repeat your work here. Since the resultant force [tex]\vec{\textbf{R}}[/tex] and F1 are completely along the x-axis, we can conclude that
[tex]F_{2y} = F_{3y} \Rightarrow F_{3y} = F_3\cos{\theta} = 250\:\text{lb}[/tex]
We can now solve for the magnitude of [tex]F_3:[/tex]
[tex]F_3 = \sqrt{F_{3x}^2 + F_{3y}^2} = \sqrt{(467)^2 + (250)^2}[/tex]
[tex]\:\:\:\:=529.7\:\text{lb}[/tex]
The angle [tex]\theta[/tex] is then
[tex]\tan{\theta} = \dfrac{F_{3y}}{F_{3x}} = \dfrac{250}{467}[/tex]
or
[tex]\theta = 49.2°[/tex]
A car is traveling at 100 km/hr. How many hours will it take to cover a distance of 750 kilometers?
What are you solving for?
What’s the equation?
Show work!
Help pleaseee!
Answer:
7 hours 30 minutes
Explanation:
Since the car will take 1 hour to cover 100 km we can conclude that it takes 7 hours to cover 700 km, and it will take half the time to cover half the remaining distance i.e. it will take 30 minutes to cover the remaining 50 kilometers.
The type of force that will not cause a change in the speed of an object.
Explanation:
Balanced forces will cause no change in the speed of an object.
A child throws a tennis ball straight down with a speed of 14.8 m/s. It takes 1.5 seconds to reach the ground. What is its velocity when it reaches the ground?
Answer:
-14.8 m/s
Explanation:
Unless this is a trick question the initial velocity is 14.8 m/s. Velocity is a vector quantity, i.e. it has a magnitude AND direction. Speed which is a scalar is certainly 14.8 m/s. The direction of the vector depends on the axis of co-ordinates chosen; consequently velocity might be said to be - 14.8 m/s
A spring with spring constant 120 N/m and unstretched length 0.4 m has one end anchored to a wall and a force F is applied to the other end.
Required:
a. If the force F does 250 J of work in stretching out the spring, what is its final length?
b. If the force F does 250 J of work in stretching out the spring, what is the magnitude of F at maximum elongation?
(a) The work done by F in stretching the spring a distance x is
W = 1/2 (120 N/m) x ²
so F performs 250 J of work on the spring, then
250 J = 1/2 (120 N/m) x ² ==> x ² ≈ 4.17 m² ==> x ≈ 2.04 m
(b) In order for F to perform 250 J of work, its magnitude must be
F = (120 N/m) (2.04 m) ≈ 245 N
A small piece of aluminum (atomic number 13) contains 10^15 atoms (The atomic number is the number of protons; it determines the (positive) electric charge of the nucleus and, thus, the number of electrons in a neutral atom.) If the piece of aluminum has a net positive charge of 3.0 uc what fraction of the electrons that the aluminum had when it was neutral would have had to be lost?
Answer:
3 micro coulombs = 3 * 10E-6 coulombs charge of aluminum
13 * 10E15 * 1.6 * 10E-19 = 2.08 E-3 Coulombs - charge of atoms in Al
3 * 10E-6 / 2.08 * E-3 = 1.44 * E-3 = .00144 = .144 %
.00144 of the original electrons would have to be lost
what is suvat in physics ?
By how many times will the kinetic energy of a body increase if its speed is tripled? Show by calculation.
Answer:
9 times more kinetic energy
Explanation:
KE₀ = ½mv²
KE₁ = ½m(3v)² = 9(½mv²) = 9KE₀
Lithium's atomic number is 3. How many electrons does a neutral lithium atom have? explain.
Answer:
It has 3 electrons
Explanation:
Neutral atom has an overall charge of zero.
Since atomic number is 3, it has 3 protons [ positive charges ]. So, to be neutral, the atom must have 3 electrons [ negative charges ] to cancel out the positive charge.
What is the amount of force exerted by gas particles?
Answer:
Pressure is the force divided by the area on which the force is exerted, and temperature is measured with a thermometer. We gain a better understanding of pressure and temperature from the kinetic theory of gases, which assumes that atoms and molecules are in continuous random motion.
Visible light travels at a speed 3.0 × 108 of m/s. If red light has a wavelength of 6.5 × 10–7 m, what the frequency of this light?
Answer:
speed /wavelength = frequency
f = 3×10*8 /6.5×10*7
f = 4.62
The average speed, correspondence to the average speed in a trajectory. True or false?
Answer:
hablo españolete telo ease
Explanation:
Which of the following is NOT an important phenomenon that commonly erodes and weathers exposed rock outcrops to form sedimentary material?
a) Lightning
b) Wind
c) Rain
d) Freezing/Thawing
Answer:
Explanation:
While each of these can cause erosion and weathering, lightning is probably the least important as it occurs less frequently and affects a much smaller surface area when it strikes.
Wind is not very effective by itself, but it can carry abrasives which work to degrade rock surfaces. It covers a very large area at once so the net effect can be moderate to large especially desert areas where plants are not readily available to disrupt the flow.
Rain covers huge areas and is quite common.
Freezing/Thawing cycles cover large areas and are quite common in the temperate and arctic latitudes and even in tropical altitudes.
Attached is a photo taken atop Half Dome in Yosemite National Park showing two of thousands of divots in the rock there caused by lightning strikes. The current in the lightning heats the stone causing water trapped in it to flash to steam. The increased pressure inside the stone can overwhelm the material strength and blow rock chunks over a fairly good sized area. This is a fairly rapid weathering and erosion when it occurs, but that is typically limited to a few dozen days per year and occurs mostly on high ground where lightning is more likely to strike earth.
Pls help lsplsplsplsplsplsplsplps
hey there! the correct answer would be ozone! hope this helps!!
Two falling inflated balls of different masses
land at the same time.
Answer:
Đương nhiên quả bóng do người thổi vào thì nặng hơn quả bóng dùng bơm bơm vì:
+ Quả bóng bơm thành phần chính là oxy, còn bóng thổi thành phần chính là CO2. CO2 đương nhiên nặng hơn oxy rồi
+ Khí do người thổi chứa rất nhiều hơi nước so với không khí nên cũng nặng hơn
+ Quả bóng xẹp đương nhiện nhẹ hơn quả bóng được bơm đẩy không khí vì không khí có khối lượng mà. Tuy nhiên sự nặng hơn này rất không đáng kể. Phải có những cân siêu chính xác và độ chia nhỏ mới thấy điều này.
Explanation:
The circled one please
Mark brainliest!!
Answer:
50µs
Explanation:
The conversion is that 1 second equals 1,000,000 micro seconds. Since we have 0.00005 seconds, we will multiply that to a million.
0.00005 * 1,000,000 = 50µs
Keep in mind that 50 only has 1 significant figure because any trailing zeroes before the decimal point do NOT count.
Best of Luck!
0.00005 seconds = 50 μs
Thank you
Explain why selling cereal by mass rather then by volume be more fair to customers
Answer:
Simple, there could be air in the package and volume would record that, whereas mass would count the mass of the cereal and discount the air.
An electromagnetic wave from space is detected with a frequency of 4.4 x 109 Hz. What is the wavelength of this wave?
Explanation:
[tex]\lambda = \dfrac{c}{\nu} = \dfrac{3×10^8\:\text{m/s}}{4.4×10^9\:\text{Hz}} = 0.068\:\text{m}[/tex]