A thin uniform disk of mass m and radius r has a string wrapped
Answers
The magnitude of the weight of the disk is greater than the magnitude of the tension force of the string. ((c) [tex]F_{T} < F_{g}[/tex])
How to analysis a rigid body on dynamical conditionA rigid body is a system whose geometry cannot be neglected and in which deformations due to external forces applied on the system are negligible.
In this question we need to establish a free body diagram with all critical forces and motion conditions. There are two external forces: (i) tension ([tex]F_{T}[/tex]), (ii) weight ([tex]F_{g}[/tex]), both in newtons.
The disk falls due to gravity and rotates around the string in a case of rolling, which combines rotation and translation. By Newton's laws of motion we have the following expression:
[tex]\sum F = -F_{g}+F_{T} = -m\cdot R\cdot \alpha[/tex] (1)
Where:
[tex]m[/tex] - Mass of the disk, in kilograms.[tex]\alpha[/tex] - Angular acceleration, in radians per square second.By algebra we derive the following relationship between the two forces:
[tex]-F_{g} = -F_{T}-m\cdot R\cdot \alpha[/tex]
[tex]F_{g} > F_{T}[/tex]
Therefore, the magnitude of the weight of the disk is greater than the magnitude of the tension force of the string. ((c) [tex]F_{T} < F_{g}[/tex]) [tex]\blacksquare[/tex]
Remark
The statement is incomplete and poorly formatted. Correct and complete form is shown below:
A thin uniform disk of mass m and radius r has a string wrapped around its edge and attached to the ceiling. The bottom of the disk is at height 3R above the floor, as shown above. The disk is released from rest. The rotational inertia of a disk around its center is [tex]I = \frac{1}{2}\cdot M\cdot R^{2}[/tex].
When released from rest, the disk falls and the string unwinds. The force that the string exerts on the disk is [tex]F_{T}[/tex], and the gravitational force exerted on the disk is [tex]F_{g}[/tex]. Which of the following expression correctly relates [tex]F_{T}[/tex] and [tex]F_{g}[/tex] as the disk falls?
(a) [tex]F_{T} > F_{g}[/tex], (b) [tex]F_{T} = F_{g}[/tex], (c) [tex]F_{T} < F_{g}[/tex]
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Related Questions
3. Three lightbulbs are connected in a series. A switch is placed between the first lightbulb and the second lightbulb. If that
switch is opened, what happens to each of the three lightbulbs?
Please help explanation
Answers
In series connection the current flow remains constant
If switch is placed between first and second lightbulbThen if it's turned on. the three bulbs will be lighted up with same currenta car of mass 850kg hits a crash barrier at a speed of 30m/s . the car stops in 0.4s.calculate the force of the car.
Answers
During the collision an impulse is created which due to which is equal to change in momentum.
Mathematically,
[tex]\green{ \underline { \boxed{ \sf{Impulse, F\times t = m (v-u) }}}}[/tex]
where
F = forcet = time span m = massv= final speedu = initial speedNow,
[tex]\begin{gathered}\\\implies\quad \sf F \times 0.4 = 850 \times (0-30) \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf F \times 0.4 = 850 \times -30 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf F = -\frac{25500}{0.4} \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf F = -63750 N \\\end{gathered} [/tex]
[tex]\quad\quad\quad\quad\quad\quad[/tex](-ve sign denotes opposite direction)
Therefore, a force of 63750 Newton will act on the car in opposite direction.
10. Wet-cell and Dry-cell batteries have _______ current.
A. Direct
B. Alternating
C. Series
D. Parallel
Answers
Answer:
A
Explanation:
Direct because it's still passes electricity through ir
Please Help Me!
A boy holds a toy soldier in from of a concave mirror. The focal length of the mirror is 0.45 m and the boy holds the toy soldier at a distance of 0.25m from the mirror. Find the image distance.
Answers
The image distance when a boy holds a toy soldier in front of a concave mirror, with a focal length of 0.45 m. is -0.56 m.
What is image distance?This is the distance between the image formed and the focus when an object is placed in front of a plane mirror.
To calculate the image distance, we use the formula below.
Formula:
1/f = 1/u+1/v........... Equation 1Where:
f = Focal length of the mirrorv = Image distanceu = object distanceFrom the question,
Given:
f = 0.45 mu = 0.25 mSubstitute these values into equation 1 and solve for the image distance
1/0.45 = 1/0.25 + 1/v2.22 = 4+1/v1/v = 2.22-41/v = -1.78v = 1/(-1.78)v = -0.56 mHence, The image distance is -0.56 m.
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The interior of a refrigerator has a surface area of 2. 6 m2. It is insulated by a 4. 5 cm thick material that has a thermal conductivity of 0. 0098 J/m · s · ◦ C. The ratio of the heat extracted from the interior to the work done by the motor is 4. 4% of the theoretical maximum. The temperature of the room is 37. 7 ◦C, and the temperature inside the refrigerator is 3. 7 ◦C
Answers
For an interior of a refrigerator has a surface area of 2. 6 m2, The power is is mathematically given as
P= 71.56W
What is the power?Generally, the equation for the Fourier's law is mathematically given as
H = ∆Q/∆t = k∙A∙∆T/∆x
Therefore
H= 0.0112* 4.2 *(33.3 - 6.8) / 0.022m
H= 58.18J/s
For The coefficient of performance(COP)
COP = Q/W = H/P
Therefore
COP = 279.95K/(306.45K - 279.95K)
COP = 10.564
In conclusion
P = H/COP
P= 58.18W / 0.813
P= 71.56W
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Which materials are good insulators? Select three options. Glass paper gold plastic silver.
Answers
Answer:
Plastic Glass and Paper
Explanation:
i just took the assignment
Glass, paper, and plastic are good insulators. The material that does not allow the flow of current through them is known as the insulators.
What are insulators?An electrical insulator is a substance that prevents electric current from flowing freely. The electrons in the insulator's atoms are closely bonded and cannot travel easily.
Other materials, such as semiconductors and conductors, carry electricity more easily. The characteristic that characterizes an insulator.
Gold and silver are good conductors of electricity. While glass, paper, and plastic are good insulators.
Hence glass, paper, and plastic are good insulators.
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A 1.2-kg hot iron sphere with heat capacity
576 J °C-1 is cooled by immersing it in a tank of
water (Fig g). (See the photo that I uploaded)The mass of the water is 3 kg and
its initial temperature is 12 °C. After 5 minutes,
both the iron sphere and the water reach a final
temperature of 15 °C.
(a) Find the energy gained by the water.
(b) Find the average rate of energy transfer from
the iron sphere to the water.
(c) What is the initial temperature of the iron
sphere?
Answers
Given the data from the question, the heat gained by the water, the rate of energy transfer and the initial temperature of the iron are:
A. The energy gained by the water is 37656 J
B. The average rate of energy transfer from
the iron sphere to the water is 125.52 J/s (Watts)
C. The initial temperature of the iron
sphere is 65.4° C
A. How to determine the heat gained Mass of water (M) = 3 Kg = 3 × 1000 = 3000 gInitial temperature (T₁) = 12 °C Final temperature (T₂) = 15 °Change in temperature (ΔT) = 15 – 12 = 3 °C Specific heat capacity (C) = 4.184 J/gºC Heat (Q) =?Q = MCΔT
Q = 3000 × 4.184 × 3
Q = 37656 J
B. How to determine the rate of energy transfer Heat (Q) = 37656 JTime (t) = 5 min = 5 × 60 = 300 sPower (P) =?Power = energy / time
Power = 37656 / 300
Power = 125.52 J/s (Watts)
C. How to determine the initial temperature of the iron Mass of iron (M) = 1.2 Kg = 1.2 × 1000 = 1200 gHeat capacity (C) = 576 J/ºC Heat (Q) = 37656 JTemperature (T) =?Q = CT
37656 = 576 × T
Divide both side by 576
T = 37656 / 576
T = 65.4° C
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A carrot has a mass of 69 grams and a volume of 150 cubic centimeters. Calculate its
density.
Answers
Answer:
As Per Provided Information
Mass of carrot 69 grams
Volume of carrot 150 cm³
we have been asked to determine the density of carrot .
Using Formulae
[tex] \bf \: Density = \cfrac{Mass \: of \: carrot}{Volume \: of \: carrot}[/tex]
Substituting the given value and let's solve it to determine the density of carrot.
[tex] \longrightarrow\sf \: Density = \cfrac{69}{150} \\ \\ \\ \longrightarrow\sf \: Density = \cancel\cfrac{69}{150} \\ \\ \\ \longrightarrow\sf \: Density =0.46 \: gm \: {cm}^{ - 3} [/tex]
Therefore,
Density of carrot is 0.46 gm/cm³After hearing about an accident on his normal route, mr. gujral checks for alternate routes to get to work. what type of circuit does this traffic situation model? a series circuit because there is more than one path a series circuit because there is only one path a parallel circuit because there is more than one path a parallel circuit because there is only one path
Answers
The type of circuit does this traffic situation model will be a parallel circuit because there is more than one path.
What is a parallel circuit?A parallel circuit has branches that split the current such that just a portion of it passes through each branch.
The voltage or potential difference between each branch of a parallel circuit is the same, but the currents might differ.
A parallel circuit is having more than one path in order to reach it on time he has to take a different path.
Hence the type of circuit does this traffic situation model will be a parallel circuit because there is more than one path.
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Answer:
C) a parallel circuit because there is more than one path
Explanation:
C) a parallel circuit because there is more than one path
A 5.0-newton force could have perpendicular components of
Answers
Answer:
It can have many set of perpendicular component but the most important one is 3 AND 4
Explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
1. How do you describe the path that the light passes through when it travels?
2. What happens during dispersion of light?
3. What are the different colors of light?
4. Similarly, how are rainbows formed up in the sky?
pls help me if u can
Answers
A:
The white light is divided into its component hues - red, orange, yellow, green, blue, and violet - as it passes through the prism. Dispersion is the splitting of visible light into its many hues.
===========================================================B:
Dispersion is the splitting of visible light into its many hues. Each hue is associated with a certain wave frequency, as stated in the Light and Color unit, and different frequencies of light waves bend at different rates while passing through a prism.
============================================================C:
The white light is divided into its component hues - red, orange, yellow, green, blue, and violet - as it passes through the prism. Dispersion is the splitting of visible light into its many hues.
===========================================================D:
The sun and the weather combine to create a rainbow. As it passes from air to denser water, light enters a water droplet, slowing and bending. The light bounces off the interior of the droplet, separating the wavelengths—or colors—that make up the droplet. A rainbow is created as light escapes the droplet.
Phys-1A Horizontal Practice 2
Ground-to-Ground Equations
Horizontal Equations
Vicos
Vertical Equations
sin
ay earth).-9.8 m/s
Horizontal Launch Equations
Horizontal Equations
Vertical Equational
Velocity-as-Hits:
wv * , te
Use. Pythagorean Range
and tan (9)
Show work/use units !!
1. For each problem, solve for "?" and "?", and Velocity-as-it-Mits. Circle your final answers with units.
2.26, 226, 24.3 65.7
Vf, V+ay.t
wh25
V4.0
(Pythag. +
7+17,
tan
Velocity-as-Hits -
2. For each problem, solve for "7" and "?", and Velocity-as-it-Hits Circle your final answers with units.
2.02,742, 21.1 69.5
W.77
VF, VI+ ayt
VF,
Mercede
(Pythag.+ v
tan
Velocity-as-Hits -
Answers
With a class 1 lever, does mechanical advantage increase or decrease as the fulcrum is moved closer to the load? Explain why.
Answers
Answer:
L1 F1 = L2 F2 explains balancing torques
F1 = load = counterclockwise torque
F2 = applied force - clockwise torque
L represents distances from fulcrum to the applied forces
F2 = F1 * (L1 / L2) (I)
MA mechanical advantage = (L2 / L1) load over applied force
We can rewrite equation (I) as
load force / applied force = applied distance / load distance
As the fulcrum is moved closer to the load L1 decreases and L2 increases which corresponds to an increase in MA
What is current of 12 ohm? help me pleasee
1. 0.25 A
2. 0.5 A
3. 1 A
4. 1.5 A
5. 2 A
please show solution.
Answers
Answer:
the current is 5.2 Amps
=> Now across the top we have 2 in series with 1. That's 3 ohms across the top.
=> Now, around the outside, we have the battery and 3 ohms in series with the 12 ohmer. That's 30 volts across 15 ohms. The current all around is (30/15)= 2 Amps. (Choice #5.)
The electrical loads in _____ circuits each have the same voltage drop, with equals the total applied voltage of the circuit.
Answers
Answer:
The electrical loads in parallel circuits each have the same voltage drop, with equals the total applied voltage of the circuit.
Explanation:
I did some research and the voltage drop across any branch of a parallel circuit is the same as the applied voltage.
A weight of 200 n is hung from a spring with a spring constant of 2500 n/m and lowered slowly. How much will the spring stretch?
Answers
8n/m this is because 200×2500 all over 100 . 0's will cancile 0's living 200×2500×1 ,25 will go into 200 8 times ×1 =8n/m
The length by which the spring got stretched will be 0.08 m. The force is directly propotional to the distance by which the spring stretched.
What is spring force?The force required to extend or compress a spring by some distance scales linearly with respect to that distance is known as the spring force. Its formula is
F = kx
The given data in the problem is;
F is the spring force =200
K is the spring constant= 2500 N/m
x is the length by which spring got stretched =?
The stretch of the spring is found as;
[tex]\rm F=kx \\\\ x = \frac{F}{k} \\\\\ x= \frac{200}{2500} \\\\ x=0.08 \ m[/tex]
Hence the length by which the spring got stretched will be 0.08 m.
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A uniform rod of length l and mass m is pivoted around a line perpindicular to the rod at location l/3
Answers
Answer:
I for a rod about its center is I = M L^2 / 12
A = L (1/2 - 1/3) = L / 6 distance from middle to location L/3
A^2 = L^2 / 36
I = M L^2 (1/12 + 1/36) = M L^2 (4 / 36) = M L^2 / 9
I about given location by parallel axis theorem
name one type of energy the washing machine wastes when spinning the clothes
Answers
Answer:
Electrical Energy
The Electricity Rotates the spinning part of Washing machine and It spinns clothes.
(What
pressure does water
exert at the bottom of
the container in the
Water
(1000 kg/m)
5m
adjoining figure?) (g
=9.8 m/s2)
Answers
Answer:
49,000 Pa
Explanation:
Pressure in liquid=depth x density x g
= 5 x 1000 x 9.8
= 49,000Pa
Thunder is heard 7.2 seconds after a bolt of lightning is observed. if the speed of sound is 349 m/s, how far away did the lightning strike?
Answers
Answer:
2512.8 meters
Explanation:
s=d/t
by using speed formula
Imagine that you are a circus performer riding a uni-cycle (forwards) across the stage. What is the direction of the angular velocity of the single wheel?
Answers
The direction of the angular velocity of the single wheel is the clockwise direction
Angular velocityThe angular velocity is the number of revolutions per second of the single wheel. It is given by ω = v/r where
v = linear speed of the wheel and r = radius of the wheel.Direction of the angular velocity of the single wheelSince the wheels moves forward and the velocity of the wheel is always tangential to the wheel causing it to move forward, its angular velocity is in the clockwise direction
So, the direction of the angular velocity of the single wheel is the clockwise direction
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The angular velocity is also known as the rotational velocity. The direction of the angular velocity of the single wheel is clockwise.
What is angular velocity?The angular velocity or rotational velocity, also known as the angular frequency vector, is a vector measure of rotation rate that relates to how fast an item spins or revolves relative to another point, i.e. how quickly the angular position or orientation of an object changes with time.
[tex]\omega = \dfrac vr[/tex]
where v is the velocity and r is the radius.
The Direction of angular velocity is that the wheel goes forward and the velocity of the wheel is always tangential to the wheel, forcing it to move forward, therefore, the angular velocity is clockwise.
Hence, the direction of the angular velocity of the single wheel is clockwise.
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WILL GIVE BRAINLEST!!! What is the magnification of a virtual image if the image is 10.0 cm from a mirror and the object is 20.0 cm from the mirror?
a. -2.0
b. 0.50
c. 2.0
d. -0.50
Answers
option D
hope it helps...!!!
Answer:
B.
Explanation:
You have to divide.
10.0/20.0 = 0.50
I apologize if it is incorrect-
I hope it helps! Have a great day!
Anygays-
Conduction is greater in solids .explain in your own words Why?
Answers
Explanation:
because conduction takes place in objects whose particles are close/touching each other therefore conduction happens in solid as liquid and gas paricles are not close to each other
The driver of a pickup truck accelerated at a rate of -5 m/s2 in 2.0 seconds. What was his net change in velocity?
Answers
Explanation:
a= -5m/s^2 t=2s
a= v-u
-------
t
at=v-u
(-5x2)
= -10m/s
Enter an expression, in terms of defined quantities and g, for the force that the scale under left pillar shows
Answers
The expression, in terms of defined quantities and g is therefore Fu =((mg/2) +2 mp) g
What is a Scale?This can be defined as a balance or any of various other instruments or devices for weighing.
The expression in terms of defined quantities and g, for the force that the scale under left pillar shows that Fu =((mg/2) +2 mp) g .
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The expression, in terms of defined quantities and g, for the force that the scale under left pillar is (m(b)/2+2m(d))g.
What is the equilibrium state of a system?Equilibrium is the location of the system, in which the system be static does not change its position with respect to time.
The image of the uniform beam which has two pillar is attached below. In this pillar,
The length of the pillar is L and the mass is m(b)Pillars located at L/3 from either end.The system is in equilibrium.A duck is shown has the mass m(d).The expression, in terms of defined quantities and g, for the force that the scale under left pillar has to be find out.
In the equilibrium position torque in left pillar is zero,
[tex]\tau_{right} =0[/tex]
It can be written as,
[tex]F_L\dfrac{L}{3}=m_bg\dfrac{L}{6}+m_dg\dfrac{2L}{3}[/tex]
[tex]F_L=\left(\dfrac{m_b}{2}+2m_d\right)g[/tex]
Thus, the expression, in terms of defined quantities and g, for the force that the scale under left pillar is (m(b)/2+2m(d))g.
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7. Why are cooking pans made of aluminum? {Explain using the specific heat value of
aluminum} it conducts heat well high thermal energy
Answers
Before beginning an experiment, mrs. wilson warns her science class not to drop the bar magnets on the floor. what is the most likely reason for mrs. wilson’s warning? the magnet might lose its magnetism. the magnet might make a startling noise. the magnet might become stuck to the floor. the magnet might cause the floor to become magnetic.
Answers
The most likely reason for Mrs. Wilson's warning will be the magnet might lose its magnetism.
What is magnetism?Magnetism is a component of the larger phenomena of electromagnetic. The most well-known effects occur in ferromagnetic materials,
Which are highly attracted by magnetic fields and maybe magnetized to become permanent magnets, hence creating magnetic fields. It is also feasible to demagnetize a magnet.
We should not drop a magnet on the floor since magnets progressively lose magnetism and grow weak over time if they are not properly preserved.
Hence this is most likely the reason for Mrs. Wilson's warning will be the magnet might lose its magnetism.
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Answer:
The correct answer is A!
Explanation:
~Hope this helps! :)
What is the distance a spring is compressed if the spring constant is 10 m/n, and a force
of 25 n is applied?
Answers
Answer:
40n
Explanation:
10×25 all over 100 ,25 into hundred 4 times 10×4 =40n
A car of 15 kg is traveling on a circular track. If the radius of the track is
7. 8 m and the period is 8. 5 seconds, what's the centripetal force on
the car? (Round to the nearest hundredth)
Answers
The magnitude of the centripetal force on the car is 69.6 N.
What is centripetal force?This is a force acting on a body in circular path and it is directed to the center around which the body is moving.
To calculate the centripetal force on the car, we use the formula below.
Formula:
F = m(4π²/t²)........ equation 1Where:
F = Magnitude of the centripetal force on the car, m = mass of the cart = timeFrom the question,
Given:
m = 15 kgt = 8.5π = 3.14Substitute these values into equation 1
F = 15(4×3.14²/8.5²)F = 69.6 NHence, the magnitude of the centripetal force on the car is 69.6 N.
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Which of the following can be used to measure temperature accurately
Celsius
Fahrenheit
Kelvin
All of these are correct
Answers
Answer:
Any of those terms can be converted to either of the other terms, so either term is correct. People are accustomed to everyday temperatures in Fahrenheit. The ideal gas law specifies that
P V = N R T where T is in Kelvin which is Celsius + 273 deg.