A chain of length L has a mass of m which is uniformly distributed. When it is placed on a smooth horizontal table, 1/4 of its length hangs over the edge of the table (as shown in the figure). Then the chain slides away from the table freely, how much gravitational potential energy has changed from the beginning to the chain just sliding away from the table? (The height of the table from the ground is much greater than L)
Answers
Gravitational potential energy has changed from the beginning to the chain just sliding away from the table willl be MgL/24.
What is gravitational potential energy?The energy that an item has due to its location in a gravitational field is known as gravitational potential energy.
Length of hanging part, L/4
The gravitational potential energy is;
Work = Gravitational potential energy
Work done =force×displacement
[tex]\rm W = \frac{Mg}{3} \times \frac{L}{8} \\\\ W = \frac{MgL}{24}[/tex]
Hence, gravitational potential energy has changed from the beginning to the chain just sliding away from the table willl be MgL/24.
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Related Questions
A 3-V adaptor using a half-wave rectifier must supply a current of 0.5 A with a max- imum ripple of 300 mV. For a frequency of 60 Hz, compute the minimum required smoothing capacitor.
Answers
The minimum required smoothing capacitor is determined as 27.8 mF.
Minimum required smoothing capacitor
The minimum required smoothing capacitor is calculated as follows;
Ripple amplitude is given as;
[tex]V_R = \frac{I_L}{C_1f_{in}}[/tex]
where;
VR is maximum ripple voltagef is frequencyC1 is smoothing capacitorI is current[tex]C_1 = \frac{I_L}{V_Rf_{in}}\\\\C_1 = \frac{(0.5)}{(300 \times 10^{-3})(60)} \\\\C_1 = 0.0278 \ F\\\\C_1 = 27.8 \ mF[/tex]
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g A uniform meter stick has a 150 g rock suspended from the zero position and balances when a fulcrum is placed at the 25.0 cm position. What is the mass of the meter stick
Answers
The mass of the metre stick given the data from the question is 150 g
From the diagram (See attached photo)Clock wise moment = M × 25Anticlockwise moment = 150 × 25Mass of metre stick (M) =?How to determine the value of MClock wise moment = Anticlockwise moment
M × 25 = 150 × 25
M × 25 = 3750
Divide both sides by 25
M = 3750 / 25
M = 150 g
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The sun is considered a G2V star. What does the "V" indicate in this designation? Question 21 options: That the sun is a main sequence star. That the sun has an absolute magnitude of 5.0. That the sun is a member of the fifth generation of stars in the universe. That the sun is a star visible from Earth with the unaided eye.
Answers
The function of V" in this designation is A. That the sun is a main sequence star
What is the sun?It should be noted that the sun is the star at the center of the solar system.
In this case, the function of V" in this designation is that the sun is a main sequence star
In conclusion, the correct option is A.
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What must be known to determine the direction of the magnetic force on a change? Check all that apply.
Answers
What we must know to determine the direction of the magnetic force on a charge are;
The type of the charge.The direction of the magnetic field.The velocity of the charge.How to find the direction of magnetic force?The magnetic force is the force of attraction or repulsion that emerges between electrically charged particles since of their movement.
From right hand rule, to determine the direction of the magnetic force on a charge, we must know;
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In a solar system, two comets pass near the sun, which is located at the origin. comet e is modeled by quantity y plus 16 end quantity squared over 400 plus x squared over 144 equals 1 and comet h is modeled by quantity y plus 13 end quantity squared over 144 minus x squared over 25 equals 1 comma where all measurements are in astronomical units. part a: what are the vertices for the path of comet e
Answers
The vertices of the path of the comet e are (-12,0) and (+12,0) as it is moving an elliptical path.
Given, that the Sun is located at the origin.
Comet e is modeled by
((y + 16)²)/400 + (x²)/144 = 1
This is an equation of an ellipse. So, the path traveled by Comet e is an elliptic path.
Comparing with the Standard equation of ellipse:
((y - k)²)/(b²)+ ((x - h) ²)/(a ²) = 1
whose, Centre is (h,k) and Vertex is (h±a, 0)
On Comparing Centre (h, k), h= 0 and k = -16 &
a²=144
a = 12
and,
b²=400
b=20
So, Centre (0, -16),
Vertex (-12,0) and (+12,0)
So, the vertices of the path of the comet e are (-12,0) and (+12,0).
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A transverse wave that has electrical and magnetic properties is known as _________.
a. magnetism
b. loudness
c. electricity
d. electromagnetic energy
Answers
Answer:
D
Explanation:
the answer is D to me
the answer is D to me
Find the momentum of a body of mass 5kg moving with velocity of 4.5m/s
Answers
Momentum= mass × velocity
momentum= P
P= m×v
P= 5×4.5
P=22.5
I hope this helps.
What celestial body is used to measure siderial day?
Answers
Point of Aries is a celestial body which can be used to measure sidereal day.
What is a sidereal day?A sidereal day can be defined as an amount of time that it takes planet Earth to rotate once about its axis relative to the stars, so that distant stars appear within the same position in the sky.
Based on astronomical information and records, Point of Aries is a celestial body which can be used to measure sidereal day because it's the amount of time between two (2) consecutive transits of the First Point of Aries.
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Even though it's not very popular these days, I like our system . Getting together to talk about who the best candidate might be makes me feel like we're really part of democracy. After the debate, we vote. In my state, any voter can participate. It's all pretty informal. What system for selecting party nominees does the passage describe? . Mixed primary B. Caucus C. Open primary . Closed primary
Answers
Answer:
I think it would be C: open primary
Explanation:
how can you determine the relative ages of the moon's maria and highlands? (select all that apply.)
Answers
The relative ages of the moon's maria and highlands can be determined through the following:
Radioactive datingCrater densityLava flows.What is a Moon maria?This is referred to as the early geologic units of the moon which arose from asteroid impact and subsequent volcanic activity.
The ages can be measured using techniques such as radioactive dating and crater density.
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The compass uses a pendulous system to improve?
Answers
The compass is designed and developed to use a pendulous system to improve horizontality.
What is a compass?A compass can be defined as a scientific instrument that contains a magnetized pointer, which is used to show and indicate the following four (4) main cardinal directions:
North (N)South (S)West (W)East (E)Basically, the compass is a scientific instrument that's designed and developed to use a pendulous system to improve horizontality.
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What is the volume of the cone?
Answers
Answer:
42.417 cm³
Explanation:
The formula to find the volume of a cone is :
V = [tex]\frac{1}{3}[/tex] × π r² h
Here,
r ⇒ radius ⇒ 3 cm
h ⇒ height ⇒ 4.5 cm
Let us find it now.
V = [tex]\frac{1}{3}[/tex] × π r² h
V = [tex]\frac{1}{3}[/tex] × π × 3 × 3 × 4.5
V = [tex]\frac{1}{3}[/tex] × π × 9 × 4.5
V = [tex]\frac{1}{3}[/tex] × π × 9 × 4.5
V = [tex]\frac{1}{3}[/tex] × π × 40.5
V = [tex]\frac{1}{3}[/tex] × 3.142 × 40.5
V = [tex]\frac{1}{3}[/tex] × 127.251
V = 42.417 cm³
If you push a 200 kg box with a horizontal force of 1,172 N and kinetic friction resists the motion with a force of 962 N, what is the resultant acceleration in m/s2
Answers
Answer:
a = 1.05m.s²
Explanation:
Fnet = m×a
Fapplied - friction = m×a
1172 - 962 = 200 × a
210 = 200a
a = 1.05
The orbits of all the planets in the solar system are slightly elliptical with the exception of _______.
Answers
Except for Pluto, all of the planets in the solar system have slightly elliptical orbits.
What distinguishes Pluto from other planets in terms of its orbit?Pluto, a dwarf planet, the orbit is highly elliptical, with an eccentricity of 0.25, and it travels between 4.4 and 7.4 109 kilometers (2.7-4.6 109 miles) from the Sun on average. As a result, Pluto's orbit occasionally brings it closer to the Sun than Neptune, which implies that sometimes Pluto is much closer to the Sun than other times.
Pluto orbits the Sun at an angle of 17 degrees. This indicates that Pluto occasionally orbits above the other planets and occasionally orbits below them.
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Propane (c3h8), a common fuel, reacts with oxygen to form carbon dioxide and water according to the equation below. c3h8 5o2 → 3co2 4h2o how many grams of oxygen are required to produce 37.15 g co2? 37.15 g co2 = g o2
Answers
The amount of oxygen will be 22.29 gm required to produce 37.15 g co₂.
What is a chemical reaction?One or more compounds, known as reactants, are transformed into one or more distinct substances, known as products. Such a process is known as a chemical reaction.
Given reaction;
[tex]\rm C_3h_8 +5O_2 }\rightarrow 3CO_2 +4H_2O[/tex]
The quantity of oxygen is x and the quantity of carbon dioxide is y then the ratio of their composition is found as;
5x=3y
5x=37.15
x=3×37.15/5
x=22.29 gm
Hence the amount of oxygen will be 22.29 gm
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Answer: 45.02 (g O2)
Explanation: The person above me is wrong...but this is the right answer on edge! Ik cuz i just did this assignment and got 100% Hope this helps :D
Which is the most accurate description of how the coolant works in an engine?
Coolant absorbs thermal energy.
Combustion absorbs thermal energy.
Coolant absorbs chemical energy.
Combustion absorbs chemical energy.
Answers
Answer:
Coolant absorbs thermal energy
Explanation:
Since the coolant is used to refrigerate the engine, it have to absorb the thermal energy
It is a state of matter wherein particles are tightly packed, but are far enough apart to slide over one another.
A. Gas
B. Liquid
C. Plasma
D. Solid
please help me
Answers
Particles that are closely packed but spaced apart enough to move over one another are called plasma. Option C is correct.
What is the plasma state of matter?Plasma is a state of matter wherein particles are tightly packed but are far enough apart to slide over one another.
The following conditions are followed by the plasma state.
Hence, option C is correct.
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what is the volume in liters of 1.00 oz, given that 1 l=1.0567 qt and 1 qt=32 oz (exactly)?
Answers
Given that, 1 Liter equals 1.0567 quartz and 1 quartz equals 32 oz, the volume 1.00 oz equals 0.02957 L.
What is the volume in liters of 1.00 oz?Given that;
1 L = 1.0567 qt1 qt = 32 oz1.00 oz = x litersFirst, we convert 1.00 oz to qt
32 oz = 1 qt
1.00 oz = x
x = 1.00 / 32
x = 0.03125 qt
Now, we convert 0.03125 qt to liter
1.0567 qt = 1 L
0.03125 qt = x
x = 0.03125 / 1.0567
x = 0.02957 L
Given that, 1 Liter equals 1.0567 quartz and 1 quartz equals 32 oz, the volume 1.00 oz equals 0.02957 L.
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Different between
atmospheric presure and liquid
pressure
Answers
Explanation:
An atmosphere (atm) is a unit of measurement equal to the average air pressure at sea level but liquid pressure is exerted on the surface of an object in a liquid.
And they also differ in formulas. We can calculate atmospheric pressure in two ways. First we can get the atmospheric pressure by an instrument called barometer. And the second one is by usin this formula, atmospheric pressure = density of mercury x acceleration due to gravity x height of column of mercury. But this equation will only work if the atmospheric pressure is being measured by mercury.
But the formula for liquid pressure is defferent and the instrument used to measure the liquid pressure is also defferent.
The instrument used to measure the liquid pressure is pressure gauge. And the formula for the liquid pressure is density x height x gravity. Please give me a like and thank me.
please.
A student hears a police siren. What would change the frequency that the student hears? check all that apply.
Answers
Considering the Doppler efect, the frequency heard by the student would change if:
if the student walked toward the police car.if the student walked away from the police car.if the police car moved toward the student.if the police car moved away from the student.Doppler effectThe Doppler effect is defined as the change in the apparent frequency of a wave produced by the relative motion of the source with respect to its observer. In other words, this effect is the change in the perceived frequency of any wave motion when the sender and receiver, or observer, move relative to each other.
In summary, there is always a change in the frequency of sound as the source of the sound moves towards or away from the observer. So, the Doppler Effect is an alteration of the observed frequency of a sound due to the movement of the source or the observer, that is, they are changes in the frequency and wavelength of a wave due to the relative movement between the wave source and the observer.
Changes on the frequencyIn this case, considering the Doppler effect, the frequency heard by the student would change if:
if the student walked toward the police car.if the student walked away from the police car.if the police car moved toward the student.if the police car moved away from the student.Learn more about Doppler effect:
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Which equation can be used to calculate the normal force on an object if you know the speed of the object, the coefficient of kinetic friction, and the force of kinetic friction on the object?
Answers
Answer:
D
Explanation:
The friction force is the weight force times the coefficient of friction. So diving by the coefficient gives you the weight force which is equivalent to the normal force.
The equation that we can used to determine the frictional force using the coefficient of kinetic friction and the normal force is given by the expression : F = u N.
Where N is the normal force by the weight of the body.
What is frictional force?Frictional force is a type of force acting on a body to prevents its motion. Hence, the frictional force is always negative. Frictional force acting on an object is making a resistance to the motion of the object.
There are both kinetic frictional force and static frictional force. The coefficient of frictional force is the ratio of the frictional force to the normal force on the object. The normal force on the object is equal to m g that is the force by its own weight.
If u is the coefficient of kinetic friction and N be the normal force acting on the object, then the force of kinetic frictional force F is given by,
F = u N.
Where N = mg.
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vector a→ has a scalar components ax=35 m/s and ay=15 m/s. vector b→ has a scalar components bx=−22 m/s and by=18 m/s. determine the scalar components of vector c→=a→−b→
Answers
The scalar components of vector c are:
cx = 57 m/scy = -3 m/s.How to find the difference between the vectors?
Here we have the vectors:
a = <35m/s, 15m/s>
b = <-22 m/s, 18 m/s>
And we want to find the difference, which is given by:
c = a - b = <35m/s, 15m/s> - <-22 m/s, 18 m/s>
The difference is computed component by component, so we get:
c = <35m/s + 22m/s, 15m/s - 18m/s>
c = <57 m/s, -3 m/s>
Then the scalar components of vector c are:
cx = 57 m/s
cy = -3 m/s.
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What is the purpose of the scapula to move during arm elevation?
Answers
The purpose of the scapula to move during arm elevation is increase the range of elevation of the arm.
What is the importance of movement of the scapula during arm elevation?The scapula is an important bone which is found in the shoulder and back region of the body.
The scapula enables and increases the range of motion of the arm with its motions.
During arm elevation, the scapula undergoes an upward rotational motion.
Therefore, the purpose of the scapula to move during arm elevation is increase the range of elevation of the arm.
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When a substance changes from a liquid to a solid, what happens to the
motion of its particles?
OA. They move more slowly and become fixed in position.
O B. They move more quickly and begin to move past one another.
C. They move at the same speed and in the same direction.
D. They move at the same speed but in random directions?
Answers
When a substance changes from a liquid to a solid, they move more slowly and become fixed in position. Option A is correct.
When a substance changes from a liquid to a solid, its particles lose energy and move more slowly. As the temperature decreases, the particles lose kinetic energy and start to arrange themselves into a fixed, ordered pattern. This causes the substance to solidify and the particles become fixed in position.
The transition from a liquid to a solid state is called freezing or solidification. During this process, the particles lose energy and their motion becomes more restricted, causing them to move more slowly and eventually become fixed in position. Option A is correct.
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A particle of mass moves under a force given bywhere and are unit vectors in the and directions. The particle is placed at the origin with an initial velocity After how much time will the particle first return to the origin
Answers
The elapsed time when the particle returns to the origin is determined from the ratio of initial velocity and acceleration of the particle.
Time of motion of the particleThe time of motion of the particle is calculated by applying Newton's second law of motion.
F = ma
F = m(v)/t
where;
t is time of motion of the particlem is mass of the particlev is velocity of the particlea = v - u/t
v = u + at
when the particle returns to the origin, direction of u, = negative.
final velocity = 0
0 = -u + at
at = u
t = u/a
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Which observations most likely led to Jenna’s conclusion?
a change of odor
a decrease in temperature
a change in moisture content
a decrease in mass
Answers
The findings that most likely contributed to Jenna's conclusion were a change in smell. Option A is correct.
What is odor?A fragrance, usually an unpleasant one: The smell of sweaty feet was palpable throughout the space. Our body odor has a big impact on the kinds of scents we enjoy.
The complete question is;
"Jenna pulled out an open bowl of leftover mashed potatoes from the fridge and smelled something different. She discovered that since the potatoes were initially placed there, chemical changes had taken place. Which facts most likely supported Jenna's judgment?
a change of odor
a decrease in temperature
a change in moisture content
a decrease in mass"
The observation that most likely inspired Jenna to draw her conclusion was a change in odor.
Hence, option A is correct.
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Answer:
A change in odor
Explanation:
one of the most important features that must be explained by models during the formation of the galaxy is the ____.
Answers
One of the most important features that must be explained by models during the formation of the galaxy is the difference in age and metallicity of stars.
What is Metallicity of stars?This is defined as the proportion of heavy elements present in a star and they are usually heavier than hydrogen or helium.
These elements and the age of stars have to be put into consideration when discussing the formation of the galaxy.
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is vectors and motion in plane same?
Answers
Answer:
Plane Motion
Plane Motion One of the most common examples of motion in a plane is Projectile motion.
A cylindrical metal bar of diameter 14cm and length 484 cm is to be melted to make a metalic cube.if one side of the box is 220mm,how many boxes were produced?
Answers
The number of boxes were produced willl be 7.57.n stands for the no of boxes.
What is volume?The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.
The volume of the cylindrical metal bar;
V₁=πr²h
V₁=3.4 × 7² × 484 cm
V₁=80,634.4 cm³
The one side of the box is,220mm(22 cm)
V₂ = a³
V₂ = (22)³
V₂ = 10,648 cm³
The no of boxes is found as;
n = V₁/V₂
n=80,634.4 cm³/10,648 cm³
n=7.57
Hence, the number of boxes were produced willl be 7.57
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The world record for pole vaulting is 6.15 m. If the pole vaulter’s gravitational potential is 4942 J, what is his mass?
Answers
From the calculations, the mass of the pole is 82 Kg.
What is potential energy?The term potential energy has to do with the energy that is possessed by a body by virtue of its position.
Given that;
height = 6.15 m
PE = 4942 J
mass = ??
g = 9.8 m/s^2
Now
PE = mgh
m = PE/gh
m = 4942 J/9.8 m/s^2 * 6.15 m
m = 82 Kg
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