To locate the center of mass (COM) of a homogeneous block assembly, we can use the principle of superposition, which states that the net effect of the gravitational force acting on each individual block can be obtained by summing the effects of all the blocks.
To begin with, we need to find the mass and position of each block relative to a fixed point of reference. Let's assume that the block assembly consists of three identical blocks, each with a mass of m, arranged in a cubical shape with side length a. The mass of each block is then given by m = ρa³, where ρ is the density of the material.
The position of the center of mass of each block is at the center of the block itself, which is (x,y,z) = (a/2, a/2, a/2). To find the position of the center of mass of the entire assembly, we need to take into account the position and mass of each block.
Using the principle of superposition, we can write the position of the center of mass as:
xCOM = (m₁x₁ + m₂x₂ + m₃x₃)/(m₁ + m₂ + m₃)
yCOM = (m₁y₁ + m₂y₂ + m₃y₃)/(m₁ + m₂ + m₃)
zCOM = (m₁z₁ + m₂z₂ + m₃z₃)/(m₁ + m₂ + m₃)
Substituting the mass and position of each block into the above equations, we get:
xCOM = yCOM = zCOM = a/2
Therefore, the center of mass of the homogeneous block assembly is located at the center of the cubical shape, which is (x,y,z) = (a/2, a/2, a/2).
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Two identical charges exert a force of 4.5 x 10-2 N and each have charges of 2.5 x 10-6 C, what is the radius?
1.18 x 10-5 m
1.12 m
1.25 m
707.11 m
select the accurate statements concerning membrane fluidity.
-The degree of membrane fluidity varies depending on the composition of the membrane. -Phospholipids are relatively free to move around laterally within the membrane. -Unanchored proteins are relatively free to move around laterally within the membrane.
All of the above given statements are true.
What is membrane?A membrane controls the flow of chemicals between two environments as a selectively permeable barrier. The cell membrane is the most well-known biological membrane.
a. The amount of membrane fluidity varies based on the membrane's make-up. This is because the fluidity of the membrane can be impacted by the lipid composition, particularly the length of fatty acid chains and degree of unsaturation of phospholipids.
b. Phospholipids can travel around the membrane's lateral space quite freely. This is so that individual phospholipids can migrate laterally inside the membrane's lipid bilayer structure.
c. Unanchored proteins can essentially travel wherever they choose in the membrane's lateral space. This is due to the ability of proteins to diffuse laterally within the lipid bilayer, independent of the cytoskeleton or other proteins in the membrane.
These conclusions accurately characterize the degree of fluidity within the membrane and how the ratio of lipids to proteins affects it.
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Can someone please help
99.16 Newtons is the new force of attraction between the particles.
What causes an atoms to attract one another?The forces that hold atoms together to create molecules and solids are referred to as chemical bonds. The attraction between the electrons of one atom and the nuclei of another atom as a result of this electric force is what is known as a chemical bond.
\(F = (kq1q2)/r^2\)
\(9,916 = (kq1q2)/r^2\)
\(F = (k*(q1/5)*(q2/5))/(2r)^2\)
\(F = (1/100)((kq1*q2)/(r^2))\)
So, the new force of attraction is:
\(F = (1/100)*9,916 = 99.16\)Newtons (rounded to 4 decimal places)
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The tallest Ferris wheel in the world is located in Singapore. Standing 42 stories high and holding as many as 780 passengers, the Ferris wheel has a diameter of 150m and takes approximately 30 minutes to make a full circle. Determine the speed of the riders (in m/s) on the Singapore Flyer.
Answer:
The speed of the riders on the Singapore Flyer is approximately 0.262 m/s
Explanation:
The dimensions of the tallest Ferris wheel in the world are;
The diameter of the Ferris wheel, D = 150 m
The tine it takes the Ferris wheel to make a full circle, T = 30 minutes = 30 min × 60 s/min = 1,800 seconds
The angular velocity of the Ferris wheel, ω = 2·π/T
The linear velocity of the Ferris wheel, v = r·ω = The speed of the riders
Where;
r = The radius of the Ferris wheel = D/2
D = 150 m
∴ r = 150 m/2 = 75 m
∴ v = r·2·π/T
∴ v = 75 m × 2 × π/(1,800 s) ≈ 0.262 m/s
The speed of the riders on the Singapore Flyer, v ≈ 0.262 m/s
- Two rocks with a mass of 5 kilograms and 10 kilograms, respectively, fall freely from rest near
the Earth's surface. After 3 seconds of free-fall, compared to the 5-kg rock, the 10-kg rock has
greater...
a. acceleration
b. momentum
C. height
d. velocity
e displacement
the rock of 10 kg is falling near the Earth's surface.assume that g =10N/kg and the is no air resistance. what is the acceleration of the rock
Answer:
kya faltu sawal h repetitive g=10N/kg
A goldfish swims in a bowl of water at 20c. over a period of time, fish transfer 120j to the water as a result of its metabolism. what is the change in entropy of the water?
A goldfish swims in a bowl of water at 20°C over a period of time, fish transfer 120j to the water as a result of its metabolism, the change in entropy of the water is 0.409 J/K.
Which definition of entropy fits the bill the best?In other words, the increase in disorganization within a system is what is referred to as entropy, which is defined as the measurement of degree of randomness. Entropy is a unitary measure of the amount of thermal energy in a system that cannot be used to carry out useful work. The quantity of entropy is also a gauge of a system's molecular disorder, or randomness, as work is produced by ordered molecular motion.
change in entropy = dQ / T
change in entropy = 120 / (273 + 20 ) = 0.409 J/K.
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Which two statements best explains how observations of the spectra of light from galaxies are used to support current theories of the origin and evolution of the universe?
A: Galaxies that are further away tend to have larger redshifts
B: the blueshift observed from distant galaxies indicate that galaxies remain stationary relative to earth
C: the redshift observed from nearby galaxies indicates that most galaxies remain stationary relative to earth
D: the blueshift observed from nearby galaxies indicates that the solar system is orbiting a black hole
E: the redshift observed from distant galaxies indicates that they are moving away faster than nearby galaxies
A box rests on a frozen pond, which serves as a frictionless horizontal surface. A fisherman applies a horizontal force with magnitude 48.0 N to the box and produces an acceleration of magnitude 3.00 m/s2. What is the mass of the box?
Answer:
16.0Kg
Explanation:
What process changes light energy to heat?
refraction
absorption
reflection
Answer:
Absorption and reflection is correct
Explanation:
Answer:
absorption
Explanation:
a good example of this is black tar that's been sitting in the sun for hours, over time it gets more and more hot until it starts burning your feet it's mostly because it absorbs the light and heat from the sun and doesnt release it. hope my example helped :)
Another good example of light getting absorbed from the sun is solar pannels :D
what is the passage of light through an object?
A.) Transmission
B.) Constructive Interference
C.) Destructive Interference
D.) Absorption
E.) Refraction
F.) Diffraction
Answer:
transmission
Explanation:
9. Peter drove 57 miles down the coastline in 3 hours. What was his
average speed? (6.8C)
O 171 mi/h
O 50 mi/h
O .05 mi/h
O 19 mi/h
A narrow beam of light is travelling through a transparent liquid. It meets the surface as shown, at
an angle of incidence of 40°. The refractive index of the liquid is 1.5.
air
liquid
40
What is the angle of refraction as the light enters the air?
A 25
B 27
C 60°
D 75
Answer:
the correct answer is B) 27.
Explanation:
To find the angle of refraction, you can use the formula:
n1 * sin(angle of incidence) = n2 * sin(angle of refraction)
where n1 and n2 are the refractive indices of the two media (in this case, air and the liquid), and the angles are measured from the normal to the surface.
Plugging in the values from the problem, we have:
1 * sin(40) = 1.5 * sin(angle of refraction)
Solving for the angle of refraction, we get:
angle of refraction = sin^-1(1/1.5 * sin(40))
Using a calculator or a table of trigonometric functions, we can find that the value of sin^-1(1/1.5 * sin(40)) is approximately 27.3 degrees.
Therefore, the correct answer is B) 27.
pls help me, its just fill in the blank
1. Frequency
2. Reflected
3. Absorbed
4. Black
A boat takes 4 hours for travelling downstream from point A to point B and coming back to point A upstream. If the velocity of the stream is 2 Kmph and the speed of the boat in still water is 4 kmph, whit is the distance between A and B
Answer:
d = 6 km
Explanation:
In this case we have the relative speed of the boot changes, suppose that the boat and the river have the same direction when the boat goes from A to point B
vbr = vrt + vbt
vbr = 2 + 4
vbr = 6 km / h
v₁ = 6 km / h
velocity is constant
v₁ = d / t₁
t₁ = d / v₁
when the boat returns to the starting point the speed is both opposite
vbr = vbt - vrt
vbr = 4-2
vbr = 2 km / h
v₂ = 2 km / h
as the speed is constant
t₂ = d / v₂
they also indicate that the total time is 4 h
t₁ + t₂ = 4
we substitute
4 = d / v₁ + d / v₂
4 = d (1 / v₁ + 1 / v₂)
d = 4 / (1 / v₁ + 1 / v₂)
let's calculate
d = 4 / (1/6 + 1/2)
d = 4 / 0.6666 67
d = 6 km
What is the velocity of a 750 kg object at a height of 0m if it’s ME is 3590J?
Answer:
Sorry for this question
Please label whether the
acceleration is positive, zero, or
negative:
A-B:
B-C:
C-D
Answer:
A-B: positive
B-C: zero
C-D: negative
Explanation:
In a velocity-time graph, acceleration is shown by the slope or steepness of the graph. A positive acceleration means that the line of the slope is upward, while a negative acceleration means that the line of the slope is downwards.
A horizontal line shows that the acceleration is 0, which means that the object is stationary.
In the nuclear reaction given by 14,7N + 4,2He = n,mX + 1,1H, what is the nucleus n,mX?
The nucleus n,mX is 17,8X. Based on the atomic number (m = 8), the element is oxygen. Therefore, the nucleus is 17,8O (oxygen-17). The nuclear reaction is 14,7N + 4,2He = 17,8O + 1,1H.
In the given nuclear reaction:
14,7N (nitrogen-14) + 4,2He (helium-4) = n,mX + 1,1H (hydrogen-1)
First, let's analyze the conservation of mass and atomic numbers in the nuclear reaction. To do this, we add the mass numbers (the top numbers) and the atomic numbers (the bottom numbers) on each side of the equation.
Mass numbers:
14 (N) + 4 (He) = n (X) + 1 (H)
18 = n + 1
Atomic numbers:
7 (N) + 2 (He) = m (X) + 1 (H)
9 = m + 1
Now, we can solve for n and m:
n = 18 - 1 = 17
m = 9 - 1 = 8
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the red line of a spectrum is normally at a wavelength of 656 nm. in the light of a star that is moving away from us, we might expect to see that red line at a wavelength of
When a star is moving away from us, the light it emits is subject to a phenomenon called redshift. This causes the red line of the spectrum, which is normally at a wavelength of 656 nm, to shift to a longer wavelength.
To determine the exact wavelength of the red line for the star, you would need additional information, such as the star's velocity relative to Earth. However, you can expect the red line to appear at a wavelength longer than 656 nm due to the star's motion away from us. The wavelength of a wave describes how long the wave is. The distance from the "crest" (top) of one wave to the crest of the next wave is the wavelength. Alternately, we can measure from the "trough" (bottom) of one wave to the trough of the next wave and get the same value for the wavelength.
So, the proces in which a star is moving away from us, the light it emits is subject to a phenomenon called redshift.
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What is the answer for y = 4cos(5x)?
Maybe this graph can help?
Answer Questions below
Answer:
When several resistors are connected in series, the total resistance equals the sum of the individual resistors. In series combination, the current is same through each resistor.
1) V= 60 volt
Total resistance R = R₁ + R₂
= 20 + 10
= 30 Ω
2) Ohms law states that,
\(\sf I =\dfrac{V}{R}\\\\\\I = \dfrac{60}{30}\\\\I = 2 \ A\)
3) Voltage around 10 Ω resistor,
V₂ = I R₂
= 2 * 10
= 20 volt
___________________________________________________
4) Total current = 1 A
5) Total voltage = 8 volt
6) Voltage around R₁ is V₁
R₁ = 2 Ω ; I = 1 A
V₁ = IR₁
= 1 * 2
= 2 volt
7) Resistance 2:
Total resistance = R
Total voltage = V = 8 volt
Total current = I = 1 A
\(\sf R = \dfrac{V}{I}\\\\\\ R = \dfrac{8}{1}\\\\\)
R = 8 Ω
R₁ + R₂ = 8 Ω
2 + R₂ = 8
R₂ = 8 - 2
R₂ = 6 Ω
8)Voltage around R₂:
\(\sf V_2 = IR_2\\\\V_2 = 1*6\\\\\)
V₂ = 6 volt
9) Total R = 8 Ω
_________________________________________________
10) Total V = 12 volt
11) Total R = 8 + 8
= 16 Ω
12) Total current I,
\(\sf I = \dfrac{V}{R}\\\\I = \dfrac{12}{16}\\\\I = 0.75 \ A\)
13) Voltage at each resistor:
V₁ = I*R₁
= 0.75 * 8
= 6 volt
V₂ = I*R₂
= 0.75 * 8
= 6 volt
_______________________________________________________
14) Total R = 40 + 20
= 60 Ω
15) To find V₁, first find total voltage.
I = 2 A ; R = 60 Ω
V = IR
= 2 * 60
= 120 V
V₁ + V₂ =V
V₁ + 80 = 120
V₁ = 120 - 80
V₁ = 40 volt
Use the definition of impulse to find the magnitude of the impulse J Con imparted to sphere B by sphere C. Remember that impulse is a vector.
the impulse J imparted to sphere B by sphere C is:
J = mB*Δv
J = mB*[VBo - (mBVBi + 2mCVCi - mCVCo) / (mB + mC)]
Find the impulse from C to BTo find the impulse J imparted to sphere B by sphere C, we need to know the change in momentum of sphere B due to the collision with sphere C. The impulse J is defined as:
J = Δp = mΔv
where Δp is the change in momentum, m is the mass of sphere B, and Δv is the change in velocity of sphere B.
Since we know that the collision is elastic, we can use the conservation of momentum and energy principles:
\(mBVBi + mCVCi = mBVBo + mCVCo (1) --\)conservation of momentum
\(1/2mBVBi^2 + 1/2mCVCi^2 = 1/2mBVBo^2 + 1/2mCVCo^2 (2) --\)conservation of energy
where VB and VC are the velocities of sphere B and C before and after the collision, respectively, and the subscripts "i" and "o" refer to the initial and final states.
Solving equations (1) and (2) simultaneously for VB and VC, we get:
\(VB = (mBVBi + 2mCVCi - mCVCo) / (mB + mC) --\)final velocity of sphere B
\(VC = (mCVCo + 2mBVBi - mBVBo) / (mB + mC) --\)final velocity of sphere C
Therefore, the change in velocity of sphere B is:
\(Δv = VBo - VB\)
\(Δv = VBo - [(mBVBi + 2mCVCi - mCVCo) / (mB + mC)]\)
And the impulse J imparted to sphere B by sphere C is:
\(J = mB*Δv\)
\(J = mB*[VBo - (mBVBi + 2mCVCi - mCVCo) / (mB + mC)]\)
This is the magnitude of the impulse J imparted to sphere B by sphere C.
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A h-atom is in an excited state represented by a dot. What are the possible energies of emitted photons?.
The possible energy of the emitted photons of the hydrogen atom in first energy level is -3.41 eV.
Energy of emitted photons of hydrogen atomsHydrogen atom will emit electrons of certain energy when the hydrogen atom is in excited state.
Let a dot represent first energy level, the possible energy of the emitted photons is calculated as follows;
\(E = \frac{R_h}{n^2} \\\\E = \frac{-2.18 \times 10^{-18}}{(2)^2} \\\\E = - 5.45 \times 10^{-19} \ J\)
\(E = \frac{-5.45 \times 10^{-19}}{1.6 \times 10^{-19}} \\\\E = -3.41 \ eV\)
Thus, the possible energy of the emitted photons of the hydrogen atom in first energy level is -3.41 eV.
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When a substance cools it loses
A puddle dries up by the process of
When you see fog or clouds you are seeing water in the
state.
energy.
A liquids resistance to flow is called
Describe the two types of vaporization boiling and evaporation
A liquids resistance to flow is called Viscosity
A phase change from the liquid phase to the vapour phase is called vaporisation (or vaporisation) of an element or molecule. Both evaporation and boiling result in vaporisation. Boiling is a bulk phenomenon, whereas evaporation is a surface phenomenon.
Is vaporisation a subset of boiling?vaporisation is the process by which a material is transformed from its liquid or solid state into its gaseous (vapour) state. Boiling is the term for the vaporisation process when circumstances permit the creation of vapour bubbles within a liquid.
Evaporation is a typical process that takes place when a liquid transforms into a gas while raising the temperature or pressure. Boiling is an unnatural process in which the liquid is continuously heated to a point where it vaporises.
The transformation of a liquid into a gas is known as vaporisation.
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1. The radius of Earth is 6.40 x 10° km. The moon is about 3.84 × 10' km away
from Earth and has a diameter of 3475 km. The Pacific Ocean surface, which
can be considered a convex mirror, forms a virtual image of the moon. What is
the diameter of that image?
Answer: 28.71 km
Explanation:
For the convex mirror (ocean):
Radius of curvature = 6.4*10^3 km
Focal length (f) = R/2 = 3.2*10^3 km
Object distance (u) = -3.84*10^5
Mirror formula: \(\frac{1}{u} + \frac{1}{v} = \frac{1}{f}\)
\(\frac{1}{u} + \frac{1}{v} = \frac{1}{f}\)
\(\frac{-1}{3.84*10^5} + \frac{1}{v} = \frac{1}{3.2*10^3}\)
v = 3173.55km
Magnification, \(m = \frac{-v}{u} = \frac{-3173.55}{-3.84*10^5} = \frac{h_{i} }{h_{o} }\)
So, height of image/height of object = 3173.55/3.84*10^5
Diameter of image = 3173.55/3.84*10^5 * 3475
Diameter of image = 28.71 km
Therefore, the diameter of the image is 28.71 km
What type of process occurs with no heat flow?
A. Isobaric
B. Isothermal
C. Adiabatic
D. Isolated
Answer:
Adiabatic
Explanation:
Adiabatic is defined as a process in which no heat transfer takes place.
the indiscriminate use of drugs without the doctor's prescription is called
Answer:
drug misuse
Explanation:
this is because the person is using those drugs but indiscriminately meaning without correct judgement or in this context without a prescription therefore without following guidelines and legal standards eg self medication
but it is not abuse because it is being used for its intended purpose just without any guidelines
prove that density of 5l of water is 1000
Density can be found when mass and volume is known. The density of 5 liter of water is 1000kg/m³.
What is density?The density ρ of any substance is the ratio of mass m and its volume V.
ρ = m/V
Given is the mass of water as 5 kg and the volume is 5 liter.
as, 1 L = 10−³m³
So, 5 L = 5×10−³m³
Then, density would be
ρ = 5kg / 5×10−³m³
ρ = 1000 kg/m³
Thus, the density of 5l of water is 1000kg/m³.
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What is the unit of a declinometer?
Answer
Clinometers measure both inclines and declines using three different units of measure: degrees, percentage points, and topo . Astrolabe is example of an inclinometer that was used for celestial navigation and location of astronomical objects from ancient times to the Renaissance.
Mexico was able to gain its independence from Spain when which group switched sides to the cause of independence
Mexico was able to gain its independence from Spain when the Criollos (Mexican-born Spaniards) switched sides to the cause of independence.
The Criollos, who were previously loyal to the Spanish crown, became disillusioned with Spanish rule and were influenced by the ideals of the American and French revolutions. They recognized the need for political and economic autonomy, leading them to support the Mexican independence movement. Their defection significantly bolstered the strength and legitimacy of the movement, providing crucial leadership, resources, and military support. The Criollos played a vital role in organizing and leading the struggle for independence, ultimately leading to Mexico's successful break from Spanish colonial rule in 1821.
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