You shake a bottle of soda and take off the cap. If the soda shoots out of the
bottle with a velocity of 17 m/s, how high will it go?
A. 16.9 m
B. 14.7 m
C. 10.6 m
D. 12.2 m
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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50 POINTS!
Motion Diagrams: Observe each motion and describe how to object is moving. If the motion diagrams show more than one kind, highlight and label each kind. Please thoroughly explain. Thank you so much!
No:1
The object is moving with constant or uniform acceleration and in average speed
No:-2The object is de accelerating
No:-3The object deaccelerated and came to rest so fast.
No:-4The object moves slowly first then accelerated.
No:-5The object accelerated at first so fast then move with constant acceleration then again accelerated .
Water is flowing in a pipe with a varying cross-sectional area, and at all points the water completely fills the pipe. At point 1 the cross-sectional area of the pipe is 0.070 m^2, and the magnitude of the fluid velocity is 3.50 m/s.
Required:
a. What is the fluid speed at point in the pipe where the cross-sectional area is 0.105m^2?
b. What is the fluid speed at point in the pipe where the cross-sectional area is 0.047m^2?
c. Calculate the volume of water discharged from the open end of the pipe in 1.00hour.
Answer:
b
Explanation:
A light bulb uses 40.0 W of power when connected to a 110 V (DC) outlet. If the same bulb is connected to a European 220 V outlet, how much power will the bulb use?
If the bulb's resistance doesn't change, the power it uses is proportional to the square of the voltage. So doubling the voltage quadruples the power.
On 220 V, the bulb uses (4 • 40w)= 160 W.
It glows very brightly.
For a very short time.
Because it also gets very hot, and burns out.
After a few seconds, it uses zero watts.
Answer:
160
Explanation:
Acellus
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.
Please help me find the magnitude and direction of the resultant force
What is the relationship between the energy of the system, the energy of the surroundings, and the energy of the universe
Answer: see below:
The universe experiences the opposite energy change as the surroundings to keep the total energy of the system constant. The energy of the system, surroundings, and universe must be equivalent. The energy of the universe must remain 0, so the energy of the system and surroundings cannot change. I reaaallly hope this helped, luv ya, have a nice day!! <333
câu 1 vẽ sơ đồ trình bày nguyên lý làm việc các thông số và đặc điểm của mạch chỉnh lưu cầu 1 pha
câu 2 vẽ sơ đồ trình bày nguyên lý làm việc của bộ nghịch lưu áp 1 pha
Answer:gang gang father gang
Explanation:idek cuh
The most suitable unit for expressing nuclear radius is
A) micro B) nanometre
C) fermi D) angstrom
Answer:
Fermi is used to express nuclear radius
Answer:
the most suitable unit for expressing nuclear radius is Fermi.
if you think that Horoscopes are Science or Pseudo-Science and give your reason
Answer:
Pseudo science
Explanation:
Astrology has not demonstrated its effectiveness in controlled studies and has no scientific validity, and is thus regarded as pseudoscience.
1.what are the types of matter?
2.what are the states of matter?
Answer:
1) Ans= Pure substances and mixtures are the two types of matter.
2)Ans=solid ,liquid and gas are the states of matter
Who among the old Greek Philosophers/Scientists was the first to systematically study the
Stars?
Previous Answer:
Aristotle
Change:
Aristarchus
Answer:
Aristarchus of Samos was the first Greek philosopher to believe the solar system was organized around the Sun, rather than the Earth. The heliocentric was very unpopular during Aristarchus' lifetime, although it would inspire astronomers centuries later. Ptolemy was an astronomer and mathematician.
A scientist obtains images of a particular star, which appears as four separate stars.
Which phenomenon causes the star to appear this way?
O redshift
gravitational lensing
O principle of equivalence
O gravitational time dilation
Answer:
gravitational lensing
Explanation:
Answer:
Gravitational lensing
Explanation:
If the toy car weighs 250g and has a kinetic energy of 2.0 J, what is its velocity
Explanation:
Kinetic energy (J) = 2j
mass= 250g
velocity=?
1kg=1000g
mass= 250/1000
mass=0.25kg
Kinetic energy (J) = ½ x mass (kg) x [velocity]² (m/s)
2=1/2 × 0.25× [velocity]²
2=0.125× [velocity]²
[velocity]² = 2/0.125
[velocity]²=16
velocity= (16)^1/2
velocity= 4 m/s
A positively charged glass rod is bought close to a suspended metal needle. What
can we say about the charge on the needle given that the needle is
a) attracted ?
b) repelled ?
Answer:
attracted
Explanation:
opposite charges attract each other when the rub against each other
Answer:
This depends because the electrostatic force obeys the principle that states that force between both of the particles does not get affected by the charges of the other thus if the needle is getting attracted it possess negative charges( the opposite charge) .And if they repel it means they have the same charges ( positive charges).
A plane leaves Houston and flies 400 km north to Dallas. The pilot realizes he has forgotten his
golf clubs and returns to Houston to pick them up on the way back to Houston, the plane runs
out of gas and is forced to land in Huntsville, 100 km North of Houston. The trip from Houston to
Dallas took 120 min and the trip from Dallas to Huntsville took 70 min.
A. What is the total distance (in meters) covered by the airplane?
B. What is the plane's total displacement (in meters)?
C What is the average velocity for: 190 MM
i Houston to Dallas
ii. Dallas to Huntsville
(A) The total distance covered by the plane is 500,000 m
(B) The plane's total displacement is 300,000 m
(C) The average velocity of the plane is 100 m/s
The given parameters:
initial displacement of the plane = 400 km Dallas
final displacement of the train = 100 km Huntsville
the time taken for the initial displacement = 120 min
final time for the second trip = 70 min
A sketch of the plane's trip is as follows:
Dallas
400 km ↑ ↓
↑ ↓ Huntsville 100 km
↑
↑
Houston
(A) The total distance covered by the plane:
The total distance is the total path travelled by the plane.
Total distance = 400 km + 100 km = 500 km, = 500,000 m
(B) The plane's total displacement:
The total displacement is the change in the position of the plane.
The displacement = 400 km - 100 km = 300 km = 300,000 m
(C) The average velocity of the plane
[tex]Average \ velocity = \frac{change \ in \ displacement }{change \ in \ time} \\\\Average \ velocity = \frac{400 \ km - 100 \ km}{120 \ \min - \ 70 \ \min} \\\\Average \ velocity =\frac{300 \ km}{2\ hr - 1.167 \ hr} \\\\Average \ velocity = \frac{300 \ km}{0.833 \ hr} \\\\Average \ velocity = 360.14 \ km/hr\\\\Average \ velocity = \frac{360.14 \ km/h}{3.6 \times \frac{km/hr}{m/s} } = 100 \ m/s[/tex]
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(a) A pendulum that has a period of 3.00000 s and that is located where the acceleration due to gravity is 9.79m/s2 is moved to a location where the acceleration due to gravity is 9.82m/s2. What is its new period
I assume this is the motion of the simple pendulum
T = 2π × [tex]\sqrt{\frac{L}{g } }[/tex]
=> [tex]\frac{T1}{T2 }[/tex] = [tex]\sqrt{\frac{g2}{g1} }[/tex]
Given T1= 3s g1= 9.79 g2= 9.82
=> T2 = 3.00459 s
If Leslie has a hang time of 0.2 seconds, what distance did she jump?
Answer:
um.......I don't know soory
The speed of light will be minimum while passing through
A) water
B) vaccum
C) air
D) glass
Answer:
The correct choice is option D. glass
Glass's optical density is very great. Which is why speed of light will be minimum when passing glass.
Answer:
glass
Explanation:
i think, sana makatulong
What is the velocity of a car that traveled a total of 75 kilometers north in 1.5 hours?
What are you solving for?
What’s the equation?
Show work!
Help pleaseee!
Answer:
50km/hr is the velocity of a car that traveled a total of 75 km North in 1.5 hours.
how many grams of CaCo3, will react with dil HCL to produce 75gm of Co2 ?
Answer:
100g is correct answer.
Answer:
100 grams
Explanation:
CaCO3 ➡️ CaO + CO2
pls mark brainlies!
What is crowbar? Class 8
Answer:
Crowbar is a tool made of metal rods that are flattened at both ends, with one of them curved. There is also a crowbar that is curved at both ends.
hope it helped
Question 4 A car of mass 820 kg has a maximum power or 30 kW and moves against a constant resistance of motion to 910 N. Calculate the maximum speed of the car in the following situation On ground level ?
[tex]p = fv \\ v = p \div f \\ 30 \div 910 = [/tex]
Explanation:
power = force × velocity
velocity=power/force
=(30×1000)/910
=32.97m/s
The correct answer is 32.97m/s.
How to calculate the maximum speed?By using the formula:
power = force × velocity
velocity = power / force
= (30×1000)/910
= 32.97m/s
The answer is 32.97m/s.
What is maximum speed physics?
Maximum speed is the highest rate of speed an athlete can attain. Acceleration refers to velocity, and because velocity has both a magnitude and direction associated with it, acceleration changes when athletes change the magnitude of their motion (how fast they are running), the direction of their motion, or both.
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Which feature of a heating curve indicates a change of state
Answer:
The diagonal or the inclined lines shows the changes in terms of temperature, and the horizontal lines shows the changing of phases.
Explanation:
hope it is useful
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]
What is the relationship between resistivity of a wire and length of a wire is?
[tex]\boxed{\sf R=\rho\dfrac{\ell}{A}}[/tex]
Or
[tex]\\ \rm\hookrightarrow \rho=R\dfrac{A}{l}[/tex]
Rho stands for resistivity of wireR stands for resistance of wire l stands for length of areaA stands for surface area of wirewhat is a molecule??
Answer:
molecule, a group of two or more atoms that form the smallest identifiable unit into which a pure substance can be divided and still retain the composition and chemical properties of that substance
Explanation:
Here are examples of common molecules:
H2O (water)
N2 (nitrogen)
O3 (ozone)
CaO (calcium oxide)
C6H12O6 (glucose, a type of sugar)
NaCl (table salt)
Explanation:
molecule, a group of two or more atoms that form the smallest identifiable unit into which a pure substance can be divided and still retain the composition and chemical properties of that substance
A car speeds up from 0.0 m/s to 14.0 m/s
in 3.25 s.
The acceleration of the car is:
A. 14.0 m/s2
B. 4.31 m/s2
C. 45.5 m/s2
D. 10.8 m/s2
Explanation:
Its speed is zero at the beginning of the 3.25 s and 14 m/s at the end.
I'm thinking you probably wanted to find the car's acceleration.
Acceleration =(change in speed) / (time for the change).
Acceleration =(14m/s )/ (3.25s) .
Acceleration = 4.31m/s² .
I hope it will help you so.
Have a great day.
Be safe and be happy.
A footballer kicks a ball at an angle of 45° with the horizontal. If the ball was in the air
for 10 s and lands 4000 m away determine its initial speed.
Answer:
HOPE THIS ANSWER WILL HELP YOU
Which two particles are present in the nucleus of an atom? Electrons and neutrons Electrons and molecules 1 TH O Protons and neutrons O Protons and electrons
Answer:
Protons and neutrons
Explanation:
