A horizontal disc of radius 45 cm rotates about a vertical axis through its centre. The disc makes one full
revolution in 1.40 s. A particle of mass 0.054 kg is placed at a distance of 22 cm from the centre of the disc.
The particle does not move relative to the disc.
a On a copy of the diagram draw arrows to represent the velocity and acceleration of the particle. [2]
b Calculate the angular speed and the linear speed of the particle. [2]
c The coe cient of static friction between the disc and the particle is 0.82. Determine the largest distance
from the centre of the disc where the particle can be placed and still not move relative to the disc. [3]
d The particle is to remain at its original distance of 22cm from the centre of the disc.
i Determine the maximum angular speed of the disc so that the particle does not move relative to
the disc. [2]
ii The disc now begins to rotate at an angular speed that is greater than the answer in d i. Describe
qualitatively what happens to the particle. [2]
Answers
Answer:
a. Please find attached the diagram of the disc, having arrows that represent the velocity and the acceleration of the particle placed on it
b. The angular speed is approximately 4.488 rad/s
The linear speed is approximately 0.987 m/s
c. The largest distance from the center of the disc where the particle can be placed and still not move is approximately 0.399 m from the center of the disc
d. i The maximum angular speed of the disk so that the particle does not move relative to the disk is approximately 6.044 rad/sec
ii When the angular speed with which the disc rotates is more than the the answer of question d i above, the particle slips on the disc, and the disc begins to rotate faster than the particle, while the particle is swung in an outward radial direction off the disc due to the centrifugal forces
Explanation:
The given parameters are;
The radius of the horizontal disc, r = 45 cm = 0.45 m
The time the disc makes one full revolution, T = 1.40 s
The mass of the particle placed on the disc = 0.054 kg
The location on the disc the particle is placed = 22 cm from the disc's center
a. Please find attached the diagram of the disc created with Microsoft Visio, with arrows representing the velocity and the acceleration of the particle placed on the disk
b. The angular speed, ω = 2·π/T = 2 × π/1.4 ≈ 4.488 rad/s
The linear speed, v = ω × r = 4.488 rad/s × 0.22 m ≈ 0.987 m/s
The linear speed, v ≈ 0.987 m/s
c. The given coefficient of static friction = 0.82
Therefore;
The frictional force that prevents motion = Weight of the particle × The coefficient of static friction
The frictional force that prevents motion is [tex]F_f[/tex] = 0.054 × 9.8 × 0.82 ≈ 0.434 N
[tex]F_f[/tex] ≈ 0.434 N
Therefore, for the largest distance from the center of the disc where the particle can be placed and still not move, r, is given by the formula for the centripetal force, [tex]F_c[/tex], acting on the particle as follows;
For static equilibrium, no movement of the particle relative to the disc, we have;
[tex]F_f[/tex] = [tex]F_c[/tex]
Where;
[tex]F_c = \dfrac{m \times v^2}{r} = m \times \omega ^2 \times r[/tex]
Which gives;
[tex]F_c = {0.054 \ kg \times (4.488 \ rad/s)^2} \times r = F_f = 0.434 \ N[/tex]
r = 0.434 N/(0.054 kg × (4.488 rad/s)²) ≈ 0.399 m
The largest distance from the center of the disc where the particle can be placed and still not move, r = 0.399 m from the center of the disc
d. i From the static equilibrium equation where r = 0.22 m, we have;
[tex]F_c = {0.054 \ kg \times \omega ^2} \times 0.22 \ m = F_f = 0.434 \ N[/tex]
ω = √(0.434 N/(0.054 kg × (0.22 m))) ≈ 6.044 rad/sec
The maximum angular speed of the disk so that the particle does not move relative to the disk, ω ≈ 6.044 rad/sec
ii When the angular speed with which the disc rotates is more than the the answer of question d i above, we have
The particle begins to slip on the disc such that the disc rotates faster than the particle and the particle tends to rotate slower than the speed pf the disc and is swung off the disc by centripetal force acting on the particle due to the rotational motion of the disc.
Related Questions
The sun shines equally on both hemispheres during the summer and winter solstices.
True
False
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John is pushing (horizontally) on a 100 kg (Fw = 980N) bench with an unknown force. If the coefficient of static friction is 0.20 and the acceleration is 1.84m/s/s, what is the applied force?
Answers
Answer:
1176N
Explanation:
Given parameters:
Mass of bench = 100kg
Forward force = 980N
Coefficient of static friction = 0.2
Acceleration = 1.84m/s²
Unknown:
Magnitude of the applied force =?
Solution:
Frictional force is a force that opposes motion, for a body to move, the applied force must be greater than the frictional force;
The Force applied;
Force applied = Frictional force + Weight of the body
Frictional force = umg
u is the coefficient of static friction
m is the mass
g is the acceleration due to gravity
Force applied = 0.2 x 100 x 9.8 + 980 = 1176N
reaction takes place that is expected to yield 171.9 g of product, but only yields 154.8 g. What is the percent error for this experiment?
Answers
Answer:
9.95 percent
Explanation:
To get the percentage error, we use the following formula:
Percentage error = (expected output- actual output)/expected output X 100
Where
expected output: This is the mass of the end product after the chemical reaction that was expected = 171.9g
actual output: This is the mass of the end product after the chemical reaction that was observed = 154.8 g
Percentage error = [tex]\frac{171.9-154.8}{171.9} X 100= 9.95 percent[/tex]
Therefore the percentage error in the experiment is 9.95 percent.
The percent error for this experiment in which the reaction takes place to yield 171.9 g of product is 9.95%.
What is percentage of error?The difference between the measured or calculated value during the experiment or calculating and the known value is called the error. The percentage of error is the 100 times of this difference when divided with known value.
The expected value of the reaction to yield is 171.9 g of product. The experimental value of the reaction to yields is 154.8 g of product.
Thus, the percent error for this experiment
[tex]P=\left(\dfrac{171.9-154.8}{171.9}\right)\times100\\P=9.95\%[/tex]
Thus, the percent error for this experiment in which the reaction takes place to yield 171.9 g of product is 9.95%.
Learn more about the percentage of error here;
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A 75 kg man and a 100. Kg woman are playing tug of war on a frictionless surface. The man accelerates toward the woman at 2.0 m/s2.
Answers
Complete Question
A 75 kg man and a 100. Kg woman are playing tug of war on a frictionless surface. The man accelerates toward the woman at 2.0 m/s2.How much force does she use to pull on the rope
Answer:
The value is [tex]F = 150 \ N[/tex]
Explanation:
From the question we are told that
The mass of the man is [tex]m_m = 75 \ kg[/tex]
The mass of the woman is [tex]m_f = 100 \ kg[/tex]
The acceleration of the man is [tex]a_m = 2.0 \ m/s ^2[/tex]
Generally the force which she used to pull the rope is mathematically represented as
[tex]F = m * a[/tex]
=> [tex]F = 75 * 2[/tex]
=> [tex]F = 150 \ N[/tex]
Which statement illustrates how progress in engineering has affected the natural environment? (O A. Engineers continue to make design improvements to solar panels, making them ever more efficient in providing electricity. O B. The development of new solar panel technology drives the development of battery technology. O C. Engineers have developed solar energy technology that reduces the need for other sources of energy that can pollute the atmosphere. (® D. As solar energy technology continues to improve, it is becoming a more attractive source of energy than sources that use fossil fuels.
Answers
Explanation:
sorry but Oz is the option or anything else can clarify
Engineers have developed solar energy technology that reduces the need for other sources of energy that can pollute the atmosphere. So, option C.
What is meant by solar energy ?Solar energy is defined as the solar radiation that has the potential to ignite chemical processes, produce heat, or generate electricity.
Here,
In order to protect wildlife, and ecosystems, it is imperative that greenhouse gas emissions are reduced and climate change is mitigated. Solar energy plays a significant part in this as a renewable source of energy.
Additionally, solar energy can reduce water use in energy production and enhance air quality.
An extremely crucial factor considering the scarcity of water is that solar energy does not produce waste or contaminate water. Wind energy is essential for preserving hydrological resources because it consumes among the least amounts of water compared to fossil fuels and nuclear power facilities.
Hence,
Engineers have developed solar energy technology that reduces the need for other sources of energy that can pollute the atmosphere. So, option C.
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can i get a little bit idea about Quantum physics
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Answer:
What is quantum physics? Put simply, it's the physics that explains how everything works: the best description we have of the nature of the particles that make up matter and the forces with which they interact. Quantum physics underlies how atoms work, and so why chemistry and biology work as they do.
If the magnitude of a vector is√8 .If it's x-component is 2 ,then it's y- component is
Answers
Answer:
The answer is below
Explanation:
A vector quantity is a quantity that has both magnitude and direction. The magnitude of a vector is the length of that vector.
The magnitude of a vector a with a x component of x and y component of y is given by the formula:
[tex]|a|=\sqrt{x^2+y^2}[/tex]
Given that the vector has a magnitude of √8, the x component is 2 and the y component = y. Hence:
[tex]\sqrt{8}=\sqrt{2^2+y^2}\\\\squaring\ both\ sides:\\\\8=4 + y^2\\\\y^2=8-4\\\\y^2=4\\\\square\ root\ of\ both\ sides:\\\\y=\sqrt{4} \\\\y=\pm 2\\\\y=+2\ or\ y=-2[/tex]
According to the law of conservation of matter, the number of _______ is not changed by a chemical reaction.
A.
products
B.
molecules
C.
atoms
D.
bonds
Answers
Answer:
c
Explanation:
Ya sabes que los materiales se utilizan dependiendo de la fun- ción que deben tener: transparentes (cristales), conductores de la electricidad (cables de tendidos eléctricos), muy resistentes (vigas), inoxidables (cuberterías), etc. Pero, ¿interesarán materiales de densidad grande o pequeña? ¿Por qué? Busca ejemplos de tres materiales que justifiquen tu respuesta (por ejemplo, el hilo conductor de las líneas de alta tensión, los colchones de espuma de alta densidad, la fibra de carbono, etc). ¿Qué características tiene la fibra de carbono en cuanto a resis- tencia y densidad? Busca objetos que se elaboren con fibra de carbono.
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A 750 g ball is raised 3 m off the ground and then thrown. What is the potential energy
of the ball before the throw?
Answers
Answer:
22.05 JExplanation:
The potential energy of a body can be found by using the formula
PE = mgh
where
m is the mass in kg
h is the height
g is the acceleration due to gravity which is 9.8 m/s²
From the question
750 g = 0.75 kg
We have
PE = 0.75 × 9.8 × 3
We have the final answer as
22.05 JHope this helps you
HELP AGAIN PLS
PHYSICS - I SUCK AT THIS
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Answer:
You can calculate average velocity by taking the delta(x) which is the change in distance and then dividing it by the time.Hence here the tumbleweed goes from 25.6m to -14.4m. ~25.5m-(-14.4) = 39.9 m traveled 39.9m/7s= 5.7 m/sA 45 kg wagon is being pulled with a rope that makes an angle of 38 degrees with the horizontal. The applied force is 410 N and the coefficient of kinetic friction between the wagon and the ground is 0.18.
Answers
Answer:
7.35m/s²
Explanation:
From the question we are not told what to find but we can as well find the acceleration of the wagon.
According to newton second law of motion
[tex]\sum F_x = ma_x\\Fm - Ff = ma_x\\Fm - \mu R = ma_x\\Fm- \mu mg = ma_x\\[/tex]
Fm is the moving force = 410N
[tex]\mu[/tex] is the coefficient of friction = 0.18
m is the mass = 45kg
g is the acceleration dur to gravity = 9.8m/s²
a is the acceleration of the wagon
Substitute the given data into the equation ang get ax
[tex]Fm- \mu mg = ma_x\\410 - (0.18)(9.8)(45) = 45a_x\\410 - 79.38 = 45a_x\\330.62 = 45a_x\\a_x = 330.62/45\\a_x = 7.35m/s^2\\[/tex]
Hence the acceleration of the wagon is 7.35m/s²
Fossils, plants, and animals are what make rocks different from minerals.
true of fales
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mark me brainliest
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Answer:
Explanation:
Pecan 1 and 4 seem the best answer
A clown in a circus act swings a 2.7-kg metal ball attached to a 72.0-cm nylon string in a horizontal circle above her head, making one revolution in 0.98 s. What is the tension force, Ft, exerted on the string by the ball?
Answers
Answer:
Tension, Ft = 79.91 N
Explanation:
The tension in the string is the resultant force that exists in the string due to the centripetal effect of the swinging ball.
From conservation laws, the tension in the string will be equals to the centripetal force acting on the string.
The tension in a string can be obtained using the formula:
[tex]T=mv^2/R[/tex]
where v = linear velocity of the metal ball which equals to the angular velocity of the ball X the radius of the ball.
The radius of the ball is given as 72 cm = 0.72m and the angular velocity = 1.02 rad/second.
Therefore, linear velocity, [tex]v = 2\pi \times 1.02\times 0.72 =4.616m/s[/tex]
The tension in the string will now be equals to [tex]2.7 \times 4.616^2 /0.72 =79.91N[/tex]
No machine have 100% efficiency. Why?
Answers
[tex]\huge\fcolorbox{black}{pink}{Answer}[/tex]
Because said machines have to operate in the physical world with constraints caused by the laws of physics. It’s not possible to do useful work without encountering some of these issues. The mains ones are:
Heat lost from the systemFriction (including air resistance)Electrical resistance[tex]\sf\blue{hope\:it\:helps}[/tex]
HELP ASAP!! WILL TRY TO GIVE BRAINLIEST
How are facilitated diffusion and active transport similar and different?
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Answer:
Facilitated diffusion and active transport both utilize proteins to transport substances across membranes. Differences between active transport and facilitated diffusion 1. Active transport requires an input of energy, usually ATP, while facilitated transport does not.
why can't birds fly in space
Answers
Answer:
wouldn't they be dead and there's no oxygen in space....right???
Answer:
no gravity and no oxygen
Explanation:
the bird would die of lack of oxygen before they're even able to fly, but they can't fly anyway because there's no gravity so they'd just float
1. Explain why a piece of white paper looks green when viewed through a piece of green plastic?
Answers
Answer:
because the light is refracted and slowed down to make us see the color "green" and the things we see..like paper..the color "green" A white sheet of paper reflects almost all the light that falls on it. It reflects white light because it can reflect all the colors of the spectrum that comprise white light. If red light only is shone onto a white page, the red light is reflected. If the green light is shone onto the page, the green light is reflected.
Explanation:
hope this helps?
Answer:
the wave length that are reflected determine the color that an object appears to the human eye. for example,the leaves appear green because they reflect green light and absorb light of other wavelengths.This means that the light passes through the material rather than being reflected by it.
Explanation:
A student is eating french fries and needs ketchup. He shakes the ketchup bottle as it is turned upside down but the ketchup won't move. He then smacks the bottle and the ketchup moves. However, the ketchup won't stop moving until he turns the bottle upright. This is an example of ____.
Answers
Answer:
I'm thinking Newton's first law of motion.
Explanation:
"An object at rest remains at rest, or if in motion, remains in motion at a constant velocity unless acted on by a net external force."
What force acts on a projectile when it is launched in the air?
A. gravity
B. friction
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What does dalton theory have in common with democritus
Answers
Answer:
Democritus and Dalton has similar ideas about the atom, but Democritus based his theory more on reason than science. ... His ideas were similar to those of Democrites in that he believed that atoms were indivisible and that atoms of one substance are all alike but are different from atoms of another substance.
Explanation:
PLS MAKE ME AS BRAINLIST
Answer:
Democritus and Dalton has similar ideas about the atom, but Democritus based his theory more on reason than science. ... His ideas were similar to those of Democrites in that he believed that atoms were indivisible and that atoms of one substance are all alike but are different from atoms of another substance.
Explanation:
What is the MAIN idea of the section "Green Loses Its Power In Fall"?
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What is the kinetic energy of a 0.5 kg puppy that is running 1.5m/s
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Answer:
0.5625 Joules
Explanation:
The equation to calculate kinetic energy is:
[tex]KE = \frac{1}{2}mv^2[/tex]
So, plug in all given info and calculate:
[tex]KE = \frac{1}{2}(0.5)(1.5)^2 = 0.5625J[/tex]
And that's your answer! :)
the steps of mieosis
Answers
Answer:
Since cell division occurs twice during meiosis, one starting cell can produce four gametes (eggs or sperm). In each round of division, cells go through four stages: prophase, metaphase, anaphase, and telophase.
Answer:
here are six stages within each of the divisions, namely prophase, prometaphase, metaphase, anaphase, telophase and cytokinesis
Explanation:
question is attached!
Answers
Answer:
For Bill to dump the water on Tim, Tim should be 7.232 meters from the tree when Bill dumps the water
Explanation:
The given height above the ground at which Bill sits on the tree branch with a bucket of water, h = 4.0 meters
The speed with which Tim is approaching the tree = 8.0 meters per second
The time , t, it will take for the bucket of water to reach the ground is given by the equation of free fall as follows;
h = 1/2·g·t²
Where;
h = Height = 4.0 m
g = The acceleration due to gravity ≈ 9.8 m/s²
t = The time
Making t the subject of the above equation gives;
t = √(h/(1/2·g))
Substituting the known values gives;
t = √(4.0 m/(1/2 × 9.8 m/s²)) ≈ 0.904 s
t ≈ 0.904 seconds
Therefore, for Bill to dump the water on Tim, it should take Tim approximately 0.904 seconds to get to the tree
The distance, d, Tim will be when it will take him 0.904 seconds to get to the tree is given from the kinematic equation of speed, s, as follows;
Distance, d = Time, t × Speed, s
Where;
d = The distance
t = The time = 0.904 s
s = The speed with which Tim is approaching the tree = 8.0 m/s
Substituting the values gives;
d = 0.904 s × 8.0 m/s = 7.232 m
Therefore, the distance Tim should be when Bill throws the water = 7.232 meters
HELP ASAP!!!! WILL TRY TO GIVE BRAINLIEST!
Identify the structure that separates the nuclear contents from the cytoplasm.
Answers
Answer:nuclear membrane
Explanation:
Answer:
Nuclear envelope. Hope this helps.
an ice Puck travels 18 m in 3 S before it slides into the goal what is the speed of the traveling puck
Answers
Answer:
[tex]\boxed {\boxed {\sf 6 \ meters \ per \ second}}[/tex]
Explanation:
Speed can be found by dividing the distance by the time.
[tex]s=\frac{d}{t}[/tex]
The distance is 18 meters and the time is 3 seconds.
[tex]d= 18 \ m \\t= 3 \ s\\[/tex]
Substitute the values into the formula.
[tex]s=\frac{18 \ m }{ 3 \ s }[/tex]
Divide.
[tex]s= 6 \ m/s[/tex]
The speed of the puck is 6 meters per second.
Answer:
Given :-Distance travelled (D) = 18 mTime taken (T) = 3 secondTo Find :-Speed
Solution :-As we know that
[tex] \sf Speed = \dfrac{Distance}{Time} [/tex]
[tex] \sf \: Speed = \dfrac{18}{3} [/tex]
Cancelling both by 3
[tex] \sf \: Speed = 6 \: mps[/tex]
What is the mathematical relationship between wavelength and velocity? Inverse, horizontal, linear or quadratic? I NEED MAJOR HELP PLZ HELP ME THANK U
Answers
Answer: Wavelength is the measure of the length of a complete wave cycle. The velocity of a wave is the distance traveled by a point on the wave. In general, for any wave the relation between Velocity and Wavelength is proportionate. It is expressed through the wave velocity formula.
Explanation: For any given wave, the product of wavelength and frequency gives the velocity. It is mathematically given by wave velocity formula written as-
V=f×λ
Where,
V is the velocity of the wave measure using m/s.
f is the frequency of the wave measured using Hz.
λ is the wavelength of the wave measured using m. Velocity and Wavelength Relation
Amplitude, Frequency, wavelength, and velocity are the characteristic of a wave. For a constant frequency, the wavelength is directly proportional to velocity.
Given by:
V∝λ
Example:
For a constant frequency, If the wavelength is doubled. The velocity of the wave will also double.
For a constant frequency, If the wavelength is made four times. The velocity of the wave will also be increased by four times.
Hope you understood the relation between wavelength and velocity of a wave. I truely hope this helps you out tho! Goodluck!
Where is the epicenter of the hypothetical earthquake as shown in the illustration below?
A. Point A
B. Point B
C. Point C
D. Point D
Answers
Answer:
Point D
Explanation:
The epicenter of a hypothetical earthquake is located at the point where the earthquake begins.
(See the attached image).
Hope it helps!
