The Moment of Inertia of the Disc is represented by [tex]I = \frac{15}{32}\cdot M\cdot R^{2}[/tex]. (Correct answer: A)
Let suppose that the Disk is a Rigid Body whose mass is uniformly distributed. The Moment of Inertia of the element is equal to the Moment of Inertia of the entire Disk minus the Moment of Inertia of the Hole, that is to say:
[tex]I = I_{D} - I_{H}[/tex] (1)
Where:
[tex]I_{D}[/tex] - Moment of inertia of the Disk.[tex]I_{H}[/tex] - Moment of inertia of the Hole.Then, this formula is expanded as follows:
[tex]I = \frac{1}{2}\cdot M\cdot R^{2} - \frac{1}{2}\cdot m\cdot \left(\frac{1}{2}\cdot R^{2} \right)[/tex] (1b)
Dimensionally speaking, Mass is directly proportional to the square of the Radius, then we derive the following expression for the Mass removed by the Hole ([tex]m[/tex]):
[tex]\frac{m}{M} = \frac{R^{2}}{4\cdot R^{2}}[/tex]
[tex]m = \frac{1}{2}\cdot M[/tex]
And the resulting equation is:
[tex]I = \frac{1}{2}\cdot M\cdot R^{2} -\frac{1}{2}\cdot \left(\frac{1}{4}\cdot M \right) \cdot \left(\frac{1}{4}\cdot R^{2} \right)[/tex]
[tex]I = \frac{1}{2} \cdot M\cdot R^{2} - \frac{1}{32}\cdot M\cdot R^{2}[/tex]
[tex]I = \frac{15}{32}\cdot M\cdot R^{2}[/tex]
The moment of inertia of the Disc is represented by [tex]I = \frac{15}{32}\cdot M\cdot R^{2}[/tex]. (Correct answer: A)
Please see this question related to Moments of Inertia: https://brainly.com/question/15246709
Answer:
Help meh in this question
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.
Driving home from school one day, you spot a ball rolling out into the street . (See the figure below) You brake for 1.50 s , slowing your 950-kg car from 16.0 m/s to 9.50 m/s.
a)What was the magnitude of the average force exerted on your car during braking?
b)What was the direction of the average force exerted on your car during braking?
c)How far did you travel while braking?
Answer:
a) 4116.67 N
b) negative (assuming car is traveling in positive direction)
c) 19.125 m
Explanation:
Part A)We can find the average force exerted on the car by using Newton's 2nd Law: F = ma.
We have the mass (950 kg) but we do not have the acceleration. Let's solve for this using kinematics.
We have the time during braking, the initial and final velocity, and we need to find the acceleration. To do this, we can use the following equation: v = v₀ + at.
v (final velocity) = 9.50 m/sv₀ (initial velocity) = 16.0 m/st (time) = 1.50 s a = ?Substitute these values into the equation.
v = v₀ + at9.50 m/s = 16.0 m/s + a (1.50 s) 9.50 = 16.0 + 1.50a -6.50 = 1.50a a = -4.333333... m/s²The car's acceleration during the braking period is -4.33 m/s², assuming the car is traveling in the positive direction.
Now, we can use this to plug into Newton's 2nd Law to find the force exerted on the car.
F = maF = (950 kg) (-4.33...) F = -4116.666667 NThe magnitude of the average force exerted on the car while braking is the absolute value, so it is 4116.67 N.
Part B)The direction of the average force is denoted in the negative sign. It is opposite the direction of the car's motion. Assuming that the car is traveling in the positive direction, the direction of the average force exerted on the car is in the negative direction since this force is slowing the car down while braking.
Part C)We can find the distance traveled during the braking period by using another kinematic equation.
We have the initial and final velocity, and the time traveled, so we can use this equation: Δx = v_avg · t.
Note that v_avg is the same thing as (v + v₀) / 2.Substitute the known values into the equation.
Δx = [(9.50 + 16.0)/2] · 1.50 Δx = 12.75 · 1.50Δx = 19.125 mThe car traveled 19.125 m while braking.
what happens to the value of g when we move from equator to the pole.the weight of an object is greater at poles than at equator .
why?
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 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).
Please help me find the magnitude and direction of the resultant force
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:
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
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.
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.
Learn more about speed here: brainly.com/question/4931057
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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
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
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 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 wireA 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
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]
Learn more here: https://brainly.com/question/12409152
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 .
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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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
(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
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.
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
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:
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.
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 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
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.
If Leslie has a hang time of 0.2 seconds, what distance did she jump?
Answer:
um.......I don't know soory
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!
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
