Consider the schematic of the molecule shown, with two hydrogen atoms, H, bonded to an oxygen atom, O. The angle between the two bonds is 106°. If the bond length r = 0.103 nm long, locate the center of mass of the molecule. The mass mH of the hydrogen atom is 1.008 u, and the mass mO of the oxygen atom is 15.9999 u. (Use a coordinate system centered in the oxygen atom, with the x-axis to the right and the y-axis upward. Give the coordinates of the center of mass in nm.)
The definition of the center of mass allows to find the result for the position of the mass center of more than the H₂O molecule is;
[tex]x_{cm} = 0 \ and \ y_{cm} = 6.9 10^{-3 } nm[/tex]
the concept of center of mass of a system is the point where external forces are applied, it is given by the expression
[tex]\frac{x}{y} =\frac{1}{M_{total}} \sum m_i r_i[/tex]
Where M is the total mass of the systemr_i and m_i sums the position and masses of the element i of the system
In the attachment we have a diagram of the system where the axis and coordinates of the molecules are shown, in this case it is indicated that the origin is in the oxygen atom, so its distance is zero.
[tex]r_{cm} = \frac{1}{2 m + M} \ (2 m r )[/tex] )
They indicate the mass of the hydrogen atom m = 1.008 amu, the bond length r = 0.103 nm and there is an angle 106º between the two hydrogens, therefore the angle from the vertical is:
θ = 106/2 = 53º
Let's find the position of the center of mass for each axis.
x-axis
[tex]x_{cm} = \frac{1}{2m+ M} \ ( m x_1 - m x_2)[/tex]
y-axis
[tex]y_{cm} = \frac{1}{2m + M} \ ( m y_1 + m_2)[/tex]
Let's use trigonometry to find the components of the bond length.
cos θ = [tex]\frac{y}{L}[/tex]
sin θ = [tex]\frac{x}{L}[/tex]
y = L cos θ
x = L sin θ
We substitute.
[tex]x_{cm} = \frac{1}{2m+M} \ (mL (sin 53 + sin (-53)) \\y_{cm} = \frac{1}{2m + M} \ ( mL cos 53 + mL sin 53)[/tex]
we use.
sin θ = - sin -θ
cos θ = cos -θ
Let's calculate.
[tex]x_{cm} = 0 \\y_{cm} = \frac{1}{2 \ 1.008 + 15.9999} \ ( 2 \ 1.008 \ 0.103 cos 53)[/tex]
We see that the center of mass is on the x axis and at a distance from the y-axis of 6.9 10-3 nm
In conclusion using the definition of the center of mass we can find the result for the position of the center of mass of the H₂O molecule is;
[tex]x_{cm}=0[/tex] and [tex]y_{cm}[/tex]cm = 6.9 10⁻³ nm
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Q2) You pick up some nails with your fingers from a pile of nails and find that they appear to stick together. Are they made out of iron or steel? Explain your answer.
Answer:
Iron is correct answer. ... Since Magnet is also made up of Iron, Nickel and Cobalt. Therefore, it attracts iron towards it.
Does the mass of an object always equal the sum of its parts?
yes
no
A ball of mass 0.12kg is hit by a tennis player.
The velocity of the ball changes from 0m/ s to 5.0m/s in 0.60s.
What is the average resultant force acting on the ball while it is being hit?
A 1.0N B 2.5N C 3.6N D 8.3N
Answer:
blah blah blahblah
Explanation:
because math is math and nobody understands it
7. A taxi is travelling at 15 m/s. Its driver accelerates with acceleration 3 m/s2 for 4 s. What is its new velocity
Hi there!
To solve, we can use the following equation:
vf = vi + at
vi = initial velocity (m/s)
a = acceleration (m/s²)
t = time (s)
vf = final velocity (m/s)
Plug in the given values:
vf = 15 + 3(4)
vf = 15 + 12 = 27 m/s
Answer:
[tex]\boxed {\boxed {\sf 27 \ m/s}}[/tex]
Explanation:
We are asked to find the new or final velocity of a taxi.
We will use the following kinematic equation:
[tex]v_f=v_i+at[/tex]
The car was initially traveling at 15 meters per second. It accelerated at 3 meters per second squared for 4 seconds.
[tex]v_i=[/tex]15 m/s[tex]a=[/tex]3 m/s ²t= 4 sSubstitute the values into the formula.
[tex]v_f= 15 \ m/s + (3 \ m/s^2* 4 \ s)[/tex]
Multiply the numbers in parentheses.
3 m/s/s * 4 s = 3 m/s *4 = 12 m/s[tex]v_f= 15 \ m/s +12 \ m/s[/tex]
Add.
[tex]v_f=27 \ m/s[/tex]
The new velocity of the taxi is 27 meters per second.
you moved from the top bunk of a bunk bed to the bottom and noticed that the air is colder. the cold air stays at the bottom because of
Answer:
heat transfer? sorry if I'm wrong!
What is the total of two or more numbers added together called?
weight
mass
sum
product
The sum of numbers is the total of two or more numbers added together.
Numbers is the arrangement of digits used to count, measure, and label. There are different types of numbers such as whole numbers, integers, natural numbers and many more.
The four basic mathematical operations are addition, subtraction, multiplication and division.
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How many revolutions does the motor shaft turn through between the time when the current is reversed and the instant when the angular velocity is zero
Answer:it equals 0
Explanation:hope this is a good answer
Angular velocity is the ratio of angular displacement to time. Then the number of turns by the shaft is zero.
What is angular velocity?The rate of change of angular displacement is called angular velocity. It is a vector quantity.
We know that the angular velocity formula
[tex]\rm Angular \ velocity = \dfrac{Angular \ displacement}{time}[/tex]
The motor shaft turns through between the time when the current is reversed and the instant when the angular velocity is zero.
Then the number of turns will be
[tex]\rm Number \ of\ turns = Angular \ velocty \times time \\\\Number \ of\ turns = 0 *time \\\\Number \ of\ turns = 0[/tex]
The number of turns by the shaft is zero.
More about the Angular velocity link is given below.
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How is "speed" defined in terms of physics?
Explanation:
In everyday use and in kinematics, the speed of an object is the magnitude of the rate of change of its position with time or the magnitude of the change of its position per unit of time; it is thus a scalar quantity.
is climbing stairs work done
Answer:
The work you did in climbing the stairs is the force you applied (your weight) times the distance you moved upward (the height of the stairs.) So yes, climbing stairs is work done.
Explanation:
Hope this helped, nya~ :3
Can anyone help out with this question?
I'll mark as brainliest
Thankyou.
Answer:
p=I×B
Explanation:
If a current 'I' flows through a given element in your circuit, losing voltage 'V' in the process, then the power 'P' dissipated by that circuit element is the product of that current and voltage.
When an electron falls from one energy level to a lower energy level, the result is the emission of:
Answer:
fsdfbfsdhfsfiic,dsiwe
Explanation:
the source of a magnetic field is a moving _________.
Answer:
electron
Explanation:
The source of a magnetic field is a moving _________.
\/
The source of a magnetic field is a moving electron.
The spinning of the electrons around the nucleus of an atom creates a magnetic field.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
What is the velocity of a ball swung around on a rope with a
radius of 0.25 meters and period of 0.40 seconds?
A ball swung around on a rope of a radius of 0.25 meters in a time of 0.40 seconds, then the velocity of the ball will be equal to 3.925 m/s.
What is velocity?
Velocity is the rate of change of a traveling object's direction, as measured by a certain unit of time and as seen from a specific vantage point. Speed is a basic concept in kinematics, the branch of special relativity that studies how bodies move.
A scientific vector quantity called velocity must have both a magnitude and direction to be described.
As per the data provided in the question,
Radius, r = 0.25
Time, t = 0.40 seconds
Circumference of the circle, d = 2πr
d = 2π(0.25)
d = 1.570 m
Velocity, v = d / t
v = 1.570 / 0.40
v = 3.925 m/s.
Therefore, the velocity of the ball will be 3.925 m/s.
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Explain why we draw straight lines to show rays of light?
Answer:
Because light always travels in straight line.
Explanation:
The fact that light travels can be demonstrated by putting an object in its path. If the object is opaque the result is a degree of blackness on the other side of it which is due to the absence of the light. ... As light does appear to travel in straight lines then light is usually modelled as straight lines in drawings.
Hope this helps :)
#Followformore
The brightest light detected from the star Antares has a frequency of about 3 x 10^(14) Hz. What is the wavelength of this light?
Taking into account the definition of wavelength, frecuency and propagation speed, the wavelength of a light with a frequency of 3×10¹⁴ Hz is 1×10⁻⁶ m.
First of all, wavelength is the minimum distance between two successive points on the wave that are in the same state of vibration. It is expressed in units of length (m).
On the other side, frequency is the number of vibrations that occur in a unit of time. Its unit is s⁻¹ or hertz (Hz).
Finally, the propagation speed is the speed with which the wave propagates in the medium, that is, it is the magnitude that measures the speed at which the wave disturbance propagates along its displacement.
The propagation speed relate the wavelength (λ) and the frequency (f) inversely proportional using the following equation:
v = f * λ
All electromagnetic waves propagate in a vacuum at a constant speed of 3x 10⁸ m/s, the speed of light.
In this case, you know:
v=3x 10⁸ m/s f= 3×10¹⁴ Hz λ= ?Replacing:
3x 10⁸ m/s= 3×10¹⁴Hz× λ
Solving:
λ= 3x 10⁸ m/s ÷ 3×10¹⁴Hz
λ=1×10⁻⁶ m
In summary, the wavelength of a light with a frequency of 3×10¹⁴ Hz is 1×10⁻⁶ m.
Learn more:
brainly.com/question/2232652?referrer=searchResults brainly.com/question/7321084?referrer=searchResults brainly.com/question/14946166?referrer=searchResultsA 2.00kg block is attached to a horizontal ideal spring with a spring constant k=100Nm. The block-spring system is set on a horizontal surface with negligible friction. A graph of the potential energy U as a function of time t for this system is shown. The maximum displacement xMAX of the block from its equilibrium position and the maximum speed vmax of the block during the motion represented by the graph are most nearly
We have that for the Question, it can be said that the maximum velocity is
[tex]V_m = 1.414m/s[/tex]
From the question we are told
A 2.00kg block is attached to a horizontal ideal spring with a spring constant k=100Nm.
The block-spring system is set on a horizontal surface with negligible friction.
Generally the equation for the Potential energy is mathematically given as
[tex]P.E=\frac{1}{2}Rx_m^2\\\\2=\frax{1}{2}*100x_m^2\\\\x_m^2 = 0.04m\\\\x_m = 0.2m[/tex]
The PE is converted to KE, Therefore
[tex]KE = 2\\\\\frac{1}{2}MV_m^2 = 2\\\\V_m^2 = \frac{4}{M}\\\\V_m^2 = \frac{4}{2}\\\\V_m = \sqrt{2}\\\\V_m = 1.414m/s[/tex]
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Complete Question
A 2.00 kg block is attached to a horizontal ideal spring with a spring constant k = 100 N The block-spring system is set on a horizontal surface with negligible friction. A graph of the potential energy U as a function of time t for this system is shown. The maximum displacement IMAX of the block from its equilibrium position and the maximum speed Umat of the block during the motion represented by the graph are most nearly A IMAX = 2.0 m and UMAX 1.4" B UMAX = 1.4 and UMAX=0.20" с MAX 0.20 m and UMAX = 1.4" D IMAX 0.40 m and UMAX 1.4 E IMAX 0.04 m and UMAX 2.0"
According to the principle of regularity, it is recommended that an individual exercise.
A 3-4 days per week at the beginning and progress to 4 or 5 days a week as your fitness improves.
B 7 days per week at the beginning and progress to 4 or 5 days a week as your fitness improves.
C 3-4 days per week at the beginning and progress to 7 days a week as your fitness improves.
D 1-2 days per week at the beginning and progress to 5 or 6 days a week as your fitness improves.
Answer:
Socratic app
Explanation:
it will help you
The magnetic field of a straight, current-carrying wire is:
If someone were to be researching and studying similarities between our sun and a neighboring star, what kind of scientific investigation would they be conducting
Answer:
a
Explanation:
because there both in the solar system
There are billions of galaxies in the universe and each contains trillions of stars which are different in size, distance from the earth, brightness etc.When we scientifically investigate about this we can obtain the stars of similarity to sun in brightness and size.
What is galaxies?Galaxies are a group of stars, dust and dark matter joined together by the force of gravitation. Three trillions of stars in each galaxies. Some stars forms a group of certain size and shape and number also they are called constellations.
Sun is the closest star to earth. Thus sunlight is the major source of energy in earth. Sunlight reaches the earth surface within a time of 8 minute and 6 seconds.
The star which nearest to sun is named proximacentory which far from the earth and we can see it as spot of light in the sky. There are many more stars which are giants are more brighter than sun.
The brightness and luminosity is determined based on the distance from the earth. Which can be calculated in terms of light years. Each star has an age and length of life. After that the star may die still their light energy can be seen in sky because their light takes more years to reach here.
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The ______________ is all the surroundings of a living organism.
genetics
environment
temperature
heredity
2H20 1) How many hydrogen atoms are represented by this much water? A) 1 B) 2 )4 D) 6
Mention the methods of census and explain each of them in brief
Answer:
Census includes the total process of collecting, compiling, analyzing, evaluating, publishing and disseminating statistical data regarding the population and housing and their geographical location. Population characteristics include demographic, social and economic data and are provided as of a particular date (reference period).
Census Methods:
Population censuses typically use one of two approaches:
De facto – meaning enumeration of individuals as of where they are found in the census, regardless of where they normally reside.
De jure - meaning enumeration of individuals as of where they usually reside, regardless of where they are on census day.
A flea sits on the edge of a classic record album that is making 1 revolution in 0.56s. The flea is 0.20m from the center of the record
a. what is the fleas velocity?
b. What is the fleas centripetal acceleration?
Hi there!
We can begin by finding the angular velocity using dimensional analysis:
[tex]\frac{1 rev}{0.56 s} * \frac{2\pi rad}{1 rev} = 11.22 rad/sec[/tex]
(A)
Find the flea's velocity using the following relationship:
v = ωr
v = (11.22)(0.20) = 2.24 m/s
(B)
Centripetal acceleration is given by:
a = ω²r
a = (11.22²)(0.20) = 25.18 m/s²
A wave moving with a speed of 0.5 m/s has a frequency of 50 Hz. What is the
wavelength of the wave?
A. 0.10 m
B. 0.01 m
C. 100 m
D, 25 m
Answer:
0.01 mExplanation:
The wavelength of the wave given it's velocity and frequency can be found by using the formula
[tex] \lambda = \frac{c}{f} \\[/tex]
where
c is the speed of the wave
f is the frequency
From the question we have
[tex] \lambda = \frac{0.5}{50} = 0.01 \\ [/tex]
We have the final answer as
0.01 mHope this helps you
When a wave is transmitted from one substance to another, its ______ will change. Unless it reaches the second substance at a right
angle, its direction will also change. What one word completes the
sentence?
When a wave is transmitted from one substance to another, its refraction will change. Unless it reaches the second substance at a right angle, its direction will also change.
What is Refraction?Refraction is the redirection of a wave as it passes from one medium to another medium. The redirection of wave can be caused by the wave's change in speed or by a change in the medium of wave.
The refraction of light or change in the direction of path of light in other medium occurs because the light wave travels with different speeds in different media. When a ray of light passes from one medium to another medium, the direction of the wave changes except for zero degrees because of the change in its speed.
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SOMEONE HELP PLS I WILL MARK CORRECT ANSWER BRAINLYEST ANSWER FAST PLEASE!!!!!
Answer:
C
Explanation:
An 8kg mass is placed on a 30 degrees frictionless inclines plane and is attached to a pulley to a hanging mass of 5kg
Calculate which direction will the system flow
B)what is the acceleration
C)the tension in the rope
Hi there!
We can begin by doing a summation of forces. Let the acceleration be positive in the direction of the DOWNWARD movement of the hanging block.
(A)
The system will flow in the direction of the hanging block's movement downwards.
(B)
Summation of forces of block on incline:
∑F = -M₁gsinФ + T
Summation of forces of hanging block:
∑F = M₂g - T
Sum both summations:
∑F = -M₁gsinФ + T + M₂g - T
∑F = M₂g -M₁gsinФ
According to Newton's Second Law:
∑F = ma
Thus:
(M₁ + M₂)a = M₂g -M₁gsinФ
[tex]a = \frac{M_2g -M_1gsin\theta}{M_1 + M_2}[/tex]
Plug in the values:
[tex]a = \frac{(5 * 9.8) -(8 * 9.8 * sin30)}{8 + 5} = \large\boxed{0.754 m/s^2}[/tex]
(C)
Calculate the rope's tension using one of the above equations:
∑F₂ = M₂g - T
Rearrange for T:
T = M₂g - m₂a
Plug in values:
T = 5(9.8) - 5(0.754) = 45.23 N
Match these items. Match the items in the left column to the items in the right column. 1 . gravitational force the physical law nicknamed "action-reaction" 2 . Newton's First Law the physical law that states that planetary orbits are ellipses 3 . Copernican system described as a field 4 . Kepler's First Law the model of a planetary system that has the earth at the center 5 . Kepler's Second Law an example of a heliocentric system 6 . centripetal force the physical law that states that R3\T2 = K for a system 7 . Kepler's Third Law a spacecraft cruising at v = constant with its rockets shut down 8 . geocentric system the physical law that relates acceleration to net force 9 . Newton's Third Law gravitational force that keeps planets in orbit 10 . Newton's Second Law the physical law that states that equal areas are swept out in equal times
Answer:
i can't tell which is left and right
Explanation:
Answer:
1. gravitational force = described as a field
2. Newton's First Law = a spacecraft cruising at v = constant with its rockets shut down
3. Copernican system = an example of a heliocentric system
4. Kepler's First Law = the physical law that states that planetary orbits are ellipses
5. Kepler's Second Law = the physical law that states that equal areas are swept out in equal times
6. centripetal force = gravitational force that keeps planets in orbit
7. Kepler's Third Law = the physical law that states that R3\T2 = K for a system
8. geocentric system = the model of a planetary system that has the earth at the center
9. Newton's Third Law = the physical law nicknamed "action-reaction"
10. Newton's Second Law = the physical law that relates acceleration to net force
A rock from a volcanic eruption is launched straight up into the air with no air resistance.
Which one of the following statements about the rock while it is in the air is correct? *
(0.5 Points)
On the way up, its acceleration is downward and its velocity is upward. At the highest point both its velocity
and acceleration are zero.
On the way down, both its velocity and acceleration are downward. At the highest point both its velocity and
acceleration are zero.
The acceleration is downward all points in the motion, except that the acceleration is zero at the highest
point.
The acceleration is downward at all points in the motion
Throughout the motion, the acceleration is downward, and the velocity is always in the same direction as the
acceleration
Answer:
D. The acceleration is downward at all points in the motion
Explanation:
:D