(a) The moment of inertia of the sign for rotation about the side of length h is 1.24 kgm².
(b) The kinetic energy of the sign when it is rotating about an axis is 141.37 J.
Moment of inertia of the triangular sign
The moment of inertia of the sign for rotation about the side of length h is calculated as follows;
I = 2 x ¹/₃M(b/2)²
I = 2 x ¹/₃Mb² x ¹/₄
I = ¹/₆Mb²
I = ¹/₆ x 4.4 x 1.3²
I = 1.24 kgm²
Rotational kinetic energy of the ballK.E(rot) = ¹/₂Iω²
where;
ω is angular speed = 2.4 rev/s = 2.4 x (2π rad)/s = 15.1 rad/sK.E(rot) = ¹/₂(1.24)(15.1)²
K.E(rot) = 141.37 J
Learn more about rotational kinetic energy here: https://brainly.com/question/25803184
#SPJ1
A very thin plastic rod of length is rubbed with cloth and becomes uniformly charged with a total charge of . Consider an arbitrary piece of rod of length located at a position on the rod. Find an expression for the electric field due to an arbitrary source location at observation location on the x-axis, a distance to the right of the end of the rod as indicated. Next, integrate to find the total electric field caused at by the entire rod. Use for Coulomb's constant
The total electric field of the rod at a distance, x to the right hand end of the rod is determined as [tex]E = \frac{\lambda}{4\pi \varepsilon _0} [\frac{1}{x} - \frac{1}{x+ l} ][/tex].
Expression for the electric fieldAn expression for the electric field due to an arbitrary source location at observation location on the x-axis is determined as follows;
E = kq/r²
where;
k is coulomb's constantr is the distance on x - axisTotal electric field of the entire rod[tex]\int\limits {dE} \,=\int\limits {\frac{kdQ}{r^2} }\\\\E = \lambda k \int\limits^{x + l}_x {\frac{dr}{r^2}} \,= \lambda k [-\frac{1}{r} ] \\\\E = \lambda k [\frac{1}{x} - \frac{1}{x+ l} ]\\\\E = \frac{\lambda}{4\pi \varepsilon _0} [\frac{1}{x} - \frac{1}{x+ l} ][/tex]
Thus, the total electric field of the rod at a distance, x to the right hand end of the rod is determined as [tex]E = \frac{\lambda}{4\pi \varepsilon _0} [\frac{1}{x} - \frac{1}{x+ l} ][/tex].
Learn more about electric field here: https://brainly.com/question/14372859
#SPJ1
mention part of generetor and write the uses of each part
Answer:
Explanation:
If generator really means alternator as used in cars, the following can be said:
The rotor is fed with a variable voltage ranging from 0 volt to 12 volts. The 2 brushes (fixed, not rotating, like the stator) make contact with two rings that are rotating with the rotor. The rotor acts like a fixed magnet, but the magnetic field strength is constantly updated to provide a constant output voltage, even if the load current change or the motor speed change.
The stator is basically 3 coils and 6 diodes that convert the 3 phases of AC output to an almost ripple-free DC.
Note that as more energy is extracted from the alternator (for example, adding 10 amps by turning on the headlights) the shaft resists more rotation. This can be easily tested by holding an alternator in your hand, and trying to rotate the shaft by hand with no load (rotate easily, keep rotating for a few seconds), then short-circuiting the output (much harder to rotate, stop rotating immediately). The quest for magical perpetual energy where a motor is powered by an alternator is a child's dream.
A boy on rollerskates is travelling along at 8 m/s. He has a mass of 60 kg and is carrying his
school bag of mass 10 kg. He throws the bag directly forward at 20 m/s relative to the
ground. Calculate the boy's speed after throwing the bag forward?
Answer:
6m/s
Explanation:
the original momentum = mass x velocity = 8x (60+10) = 560
momentum after = mass x velocity of the school bag + mass x velocity of the boy = 10x20 + 60x A
200+60A = 560
A=6
What happens to the cost of goods when inflation increases?
OA. The cost of goods decreases.
B. The cost of goods increases.
OC. The cost of goods stays the same.
OD. The cost of goods varies.
Answer:
The answer is B
Explanation:
Generally speaking, a company selling goods during periods of inflation will see an increase in its cost of goods sold.When inflation increases, the cost of goods increases. The correct option is B.
Generally speaking, inflation raises the price of products sold. The price of producing and purchasing those things rises together with the prices of goods and services owing to inflation.
This can be attributable to elements like escalating manufacturing costs, rising input costs, and shifting dynamics of supply and demand.
As a result, companies might need to modify their pricing plans to take inflation-related cost increases into account, the cost of goods typically increases when inflation occurs.
Thus, the correct option is B.
For more details regarding inflation, visit:
https://brainly.com/question/33537821
#SPJ6
A boy is trying to roll a bowling ball up a hill, as shown in the image below. If
friction is ignored, what is the minimum initial velocity that the ball must have
for it to reach the top of the hill? (Recall that g = 9.8 m/s²)
22.5 m
O A. 28 m/s
O B. 7 m/s
OC. 14 m/s
OD. 21 m/s
The minimum initial velocity that the ball must have for it to reach the top of the hill is 21 m/s. The correct option is D.
What is mechanical energy?The mechanical energy is the sum of kinetic energy and the potential energy of an object at any instant of time.
M.E = KE +PE
A boy is trying to roll a bowling ball up a hill. The friction is ignored. The ball must have to reach the top of the hill with a velocity. The acceleration due to gravity, g = 9.8 m/s²
The conservation of energy principle states that total mechanical energy remains conserved in all situations where there is no external force acting on the system.
M.E bottom of hill = M.E on top of hill
Kinetic energy + Potential energy = Kinetic energy + Potential energy
1/2 mu² + 0 = 0 + mgh
At the top of hill, the velocity will become zero. So, final kinetic energy is zero.
Substituting the values, we have
1/2 x u² = 9.8 x 22.5
u = sqrt [2 x9.8 x 22.5 ]
u= 21 m/s
Thus, the minimum initial velocity that the ball must have for it to reach the top of the hill is 21 m/s.
Learn more about mechanical energy.
https://brainly.com/question/13552918
#SPJ1
I just need the formula solved
Answer:
55 kg
Explanation:
Formula :
Force = mass × acceleration
=========================================================
Given :
⇒ Force = 220 N
⇒ acceleration = 4 m/s²
===========================================================
Solving :
⇒ 220 N = mass × 4 m/s²
⇒ mass = 220/4
⇒ mass = 55 kg
A machine is used to convert heat energy into work energy, and is connected to a cooling system which keeps the machine at a constant temperature. If 2000 kJ of heat energy enter the machine, and the machine performs 700 kJ of work,
how much heat energy must still be removed by the cooling system?
Remember What the law of Conservation of energy says about the total energy before and after a transformation.
The amount of heat energy that must still be removed by the cooling system is 1300 kJ.
Conservation energyThe total energy before and after a transformation must be equal.
Based on this principle, the heat energy that must still be removed by the cooling system is calculated as follows;
Input heat energy = out put heat energy
E = h + w
2000 kJ = h + 700 kJ
1300 kJ = h
Thus, the amount of heat energy that must still be removed by the cooling system is 1300 kJ.
Learn more about heat energy here: https://brainly.com/question/7541718
#SPJ1
A roller coaster glides from rest from the top of an 80.0 meter hill. What is the speed of the roller coaster at the bottom of the hill?
6.32 m/s
39.6 m/s
12.6 m/s
19.8 m/s
Based on the calculations, the speed of this roller coaster at the bottom of the hill is equal to: B. 39.6 m/s.
Given the following data:
Height = 80.0 meters.
Scientific data:
Acceleration due to gravity (g) = 9.8 m/s².
How to calculate the speed?In accordance with the law of conservation of energy, the potential energy possessed by the roller coaster at the top is equal to the kinetic energy possessed by the roller coaster at the bottom of the hill:
PE = KE
mgh = ½mv²
2mgh = mv²
v = √(2gh)
Substituting the given parameters into the formula, we have;
v = √(2 × 9.8 × 80)
v = √1,568
Speed, v = 39.6 m/s.
Read more on potential energy here: https://brainly.com/question/1242059
#SPJ1
A motor car tyre contained a fixed mass of air at 27 °C. Its pressure was 220 kN m2 above atmospheric pressure. After a 60-minute drive, the air pressure rose to 250 ken m-² above atmospheric pressure. What was the new pressure of the air in the tyre, in degrees Celsius, if the volume of air remained constant? [Atmospheric pressure = 200 k N m-²] The general gas equation is P1V1 = P2V2 T1 T2
Answer:
in this situation we have given a car note engine whose efficiency is 40%. Now it is told that it is desired to have an efficiency of 60%. Then we have to find the thing temperature force him intact temperature as we know that efficiency is given by that is neat is equal to this is one minus the lower temperature upon t higher temperature here lower temperature is the temperature of think and higher temperature is the temperature of source. So we can say that in the first case we are given the efficiency that is 40%. So this is 4100 is equal to, this is one minus deal upon, this is 500 From here we can find the value of lower 10%. This will comes out to be 300 Calvin. No, we have given that the efficiencies 60%. So we can the lower temperature remains him that is 300 Calvin. And we have to find the higher temperature. So we can say that this is 60 upon 100 is equal to this is one minus 300 upon th from here we can find the value of higher temperatures. So this is 300 upon th is equal to disease 40 by 100. Or we can say yes, you'll come out to be 7 50 Calvin. So this is the temperature and this is our answer for this. Given to shin. So we can say for that option, B is the correct choice. Thank you
Explanation:
A manufacturer supplies plastic cups that are placed under the legs of the chair
A manufacturer supplies plastic cups that are placed under the legs of the chair. The manufacturer's claim is that there will be no marks of chair due to pushing or pulling on the floor.
Who is a manufacturer?A manufacturer is a person who converts his idea of developing and constructing any item using some set of machines.
A manufacturer supplies plastic cups that are placed under the legs of the chair.
When there is a relative motion between two objects, friction force causes the opposition to this motion. Between chair and floor, there will be high magnitude of force. But if we insert plastic cups in the legs of chair, then the friction between cup and floor will be less. This keeps the floor protected form any scratches.
Learn more about manufacturer.
https://brainly.com/question/15494518
#SPJ1
L 6.3.2 Test (CST): Applications of Waves Question 5 of 10 Which event provides evidence that matter can reflect waves? O A. An audience member covers her ears during a loud concert. B. A laser beam bounces off a series of mirrors. C. A performer makes shadow puppets on a wall. D. The light from a fireworks show is seen miles away.
An audience member covers her ears during a loud concert shows evidence that matter can reflect waves.
Which event provides evidence that matter can reflect waves?An audience member covers her ears during a loud concert is an event that provides evidence that matter can reflect waves because a sound is heard again and again due to the reflection of waves. This repetition of sound is due to the property of reflection of sound waves.
So we can conclude that an audience member covers her ears during a loud concert shows evidence that matter can reflect waves.
Learn more about wave here: https://brainly.com/question/15663649
#SPJ1
Answer:
A laser beam bounces off a series of mirrors
Explanation:
A 84-kg man stands on a bathroom scale inside an elevator. the scale measures in units of newtons. (a) the elevator accelerates upward from rest at a rate of 1.20 m/s2 for 1.50 s. what does the scale read during this 1.50 s interval
Answer:
94 kg
Explanation:
The mass registered by the scale is based on the assumption that the force applied is due entirely to gravity. If the force is greater, then the indicated mass will be greater.
__
how many g'sAs a fraction of the acceleration of gravity, the elevator's acceleration is ...
(1.2 m/s²)/(9.8 m/s²) ≈ 6/49
net forceThe force required to produce a given acceleration is found by the formula ...
F = ma . . . . . . . force on mass m to produce acceleration 'a'
When the man is stationary on the scale, the upward force it supplies is balanced by the downward force on the man due to gravity. The force and the mass are proportional, and the constant of proportionality (the acceleration due to gravity) is used to calibrate the scale. More force is thus translated to a higher mass reading.
Since the man's net acceleration is upward at the rate of 6/49×g, the total force applied by the scale is (1 +6/49) = 55/49 times as great as when the man is stationary. This greater force gets translated to a greater mass reading.
The force is equivalent to what would be required to support a stationary man with a mass of ...
(84 kg)(55/49) = 94 2/7 kg
The scale would read about 94 kg during the upward acceleration period.
You are working with an existing fiber optic installation in your building. you want to know the length of each cable that runs through the walls.which tool should you use
Answer:
you will use the OTDR tool ti will very much so help
Explanation:
Planetary Nebula/White Dwarf Stars - Little Ghost Nebula. Some red giant stars develop into planetary nebulas as their cores continue to contract, to increase in temperature, and to burn and vent the remaining gases into interstellar space. Eventually, the core collapses to the point where it is hot enough to ionize the vented gases, forming a relatively short-lived (~10,000-20,000 years) planetary nebula. The remaining core collapses into a white dwarf star. The vented materials from the planetary nebula play an important role in enriching the universe in elements with atomic weights less than 26 (forming the basis for carbon-based life like ourselves!). Which type of star will form a planetary nebula
Smaller stars, like our sun, die by ejecting their outer layers of gas into space, resulting in the formation of a planetary nebula.
How planetary nebula formed?A planetary nebula is formed when a red giant ejects its outer atmosphere. A white dwarf is the carbon core of a star that has lost its photosphere.
This results in a one-of-a-kind and breathtaking creation known as a planetary nebula.
Smaller stars, like our sun, die by ejecting their outer layers of gas into space over a 10,000-year period, leaving behind the star's heated core.
Radiation from the white dwarf causes the gas to shine, resulting in a one-of-a-kind and stunning creation known as a planetary nebula.
The carbon core of a red giant that has evacuated its photosphere as a planetary nebula is a white dwarf.
Hence, Smaller stars, like our sun, die by ejecting their outer layers of gas into space type of star will form a planetary nebula
To learn more about the planetary nebula refer to:
https://brainly.com/question/1162533
#SPJ1
A 740 kg car traveling 19 m/s comes to a complete stop in 2.0 s. What is the force exerted on the car during this stop?
Answer:
Force exerted on the car is 7030 N.
Explanation:
It is given that,
Mass of the car, m = 740 kg
Initial speed of the car, u = 19 m/s
Final speed of the car, v = 0
Time taken, t = 2 s
Let F is the force exerted on the car during this stop. We know that it is equal to the product of force and acceleration. Mathematically, it is given as :
F=m\times \dfrac{v-u}{t}F=m×tv−u
F=740\times \dfrac{0-19}{2}F=740×20−19
F = -7030 N
So, the force exerted on the car during this stop is 7030 N. Hence, this is the required solution.
During the course of a concert, the temperature of a pipe organ gradually increases. As a result, the frequency of the sound from each pipe will ______ throughout the concert.
True or false: Scientific models are always built to scale, and are fully functional representations of the product they are testing.
Answer:
False
Explanation:
Scientific models are not always built to scale and may not be fully accurate
Calculate the power of a person that does 8kJ of work in 4 hours
Answer:
0.56 Watt
Explanation:
Work done = 8 kJ = 8000J
Time = 4 hours = 4*60*60s = 14400sec
Power = ?
Formula of Power is,
Power = Work done / Time
Power = 8000/14400
Power = 0.56 Watt
Hence, Power of person is 0.56Watt.
To help you rank the reactivity of the three metals you will be creating atomic charge models for each of the elements. You may use the periodic table as a model to help you complete these individual models.
1. Complete the atomic charge models to show the charged substructure of sodium, magnesium and potassium.
Metals tend to readily lose electrons and form cations. Most of them react with atmospheric oxygen to form metal oxides. However, different metals have different reactivities towards oxygen (unreactive metals such as gold and platinum do not readily form oxides when exposed to air
For sodium
Nucleus =11+Core electrons=10-Valence electrons=1-For Magnesium
Nucleus=12+Core electrons=10-Valence electrons=2-For potassium
Nucleus=19+Core electrons=18-Valence electrons=1-You decide to hike up Mt. Everest so you can experience what it is like to be above roughly 75% of the air in the atmosphere. If the pressure at the surface is 1000 mb, what is the most reasonable approximation of the pressure at the summit (top of the mountain)?
You decide to hike up Mt. Everest so you can experience what it is like to be above roughly 75% of the air in the atmosphere, the pressure at the summit is mathematically given as
P= 250mb
What is the most reasonable approximation of the pressure at the summit (top of the mountain)?Generally, the equation for pressure at the summit is mathematically given as
P= (100-75) * pressure at the surface
Therefore
P= (25/100) x 1000
P= (0.25 x 1000)mb
P= 250mb
In conclusion, the pressure at the summit
P= 250mb
Read more about Pressure
https://brainly.com/question/25688500
#SPJ1
A 500 N weight is hung at the middle of a rope attached to two buildings at the same level. If the breaks in the tension exceed 1800 N, what is the minimum angle the rope can make with the horizontal?
Not sure what you mean by "breaks in the tension" but I suspect you mean the rope will come apart if the tension in the rope exceeds 1800 N.
In the free body diagram for the 500 N weight, we have a figure Y with the net force equations
• horizontal net force:
∑ F[hor] = T₁ cos(θ) - T₂ cos(θ) = 0
• vertical net force:
∑ F[ver] = T₁ sin(θ) + T₂ sin(θ) - 500 N = 0
From the first equation, it follows that T₁ = T₂, so I'll denote their magnitude by T alone. From the second equation, we have
2 T sin(θ) = 500 N
and if the maximum permissible tension is T = 1800 N, it follows that
sin(θ) = (500 N) / (3600 N) ⇒ θ = arcsin(5/36) ≈ 7.9°
is the smallest angle the rope can make with the horizontal.
A roller coaster car moving at a velocity of 30 meters/second has a momentum of 2.5 × 104 kilogram meters/second. what is its mass? a. 85 kilograms b. 8.3 × 102 kilograms c. 7.6 × 102kilograms d. 7.6 × 103 kilograms e. 7.6 × 104 kilograms
The mass of a rollercoaster car moving at a velocity of 30 meters/second and has a momentum of 2.5 × 104 kilogram meters/second is 8.3 × 10²kg.
How to calculate mass?The mass of the roller coaster car can be calculated using the following formula:
P = m × v
Where;
P = momentumm = massv = velocitym = 2.5 × 10⁴ ÷ 30
m = 8.3 × 10²kg
Therefore, the mass of a rollercoaster car moving at a velocity of 30 meters/second and has a momentum of 2.5 × 104 kilogram meters/second is 8.3 × 10²kg.
Learn more about mass at: https://brainly.com/question/19694949
#SPJ1
Question 1 of 10
During an experiment, you take a measurement of 18.3 inches. What is this
measurement in centimeters? 1 in = 2.54 cm.
Answer:
[tex]46.482 cm[/tex]
Explanation:
[tex]Since 1 in = 2.54cm\\\\18.3 inches =(18.3 x 2.54) cm\\ =46.482cm[/tex]
When electromagnetic radiation strikes perpendicular to a flat surface
Answer:
a totally absorbing surface feels radiation pressure
Explanation:
When electromagnetic radiation strikes perpendicular to a flat surface, a totally absorbing surface feels radiation pressure
Decide whether the following statement is true (T) or false (F).
Original seat belt designs were 2-point or lap belts
1. True
or
2. False
I really hope this is true. also pay no attention to this answer I'm doing it to finish my account
Answer:
True
Explanation:
See picture.
How to convert work done in joules into kilojoules?
1 Kilojoule [kJ] = 737.562 149 277 27 Foot pound force [ftlbf]
Answer:
divide by 1000
Explanation:
eg 1kJ is equal to 1000J
You suspect that the power supply in your desktop pc is failing. you want to use a multimeter to test the power supply. which multimeter setting should you use
The multimeter setting should you use is between 11-12 volts. If the voltage is too high or too low, the power supply must be changed.
What is a multimeter?An instrument made to measure resistance, voltage, and electric current, often across a range of values.
You think your desktop computer's power supply is malfunctioning. To test the power supply, you should use a multimeter.
Between 11 and 12 volts should be seen on the multimeter. The power supply is failing and has to be replaced if it's too high or too low.
Hence, the multimeter setting should you use is between 11-12 volts.
To learn more about the multimeter refer:
https://brainly.com/question/5135212
#SPJ1
A locomotive (toy) travels at a velocity of 25 m/s for 10 s, then at 10 m/s for 5 minutes. What is the total distance covered?
A).3250m B). 4257 m C). 5200 D). The answer is not given
The total distance covered by the locomotive (toy) during the first and second journey is 10500 meters.
D) The answer is not given in the Options.
What is the total distance covered?Note that: Speed/velocity is distance traveled per unit time.
Speed = Distance ÷ time
Distance = velocity × time
Given that;
For the first journey,
velocity v = 25m/selapsed time t = 5min = (5×60)s = 300sFor the second journey,
velocity v = 10m/selapsed time t = 5min = (5×60)s = 300sDistance covered in the first journey
Distance = velocity × time
Distance = 25m/s × 300s
Distance = 7500m
Distance covered in the second journey
Distance = velocity × time
Distance = 10m/s × 300s
Distance = 3000m
Total distance covered will be;
Total Distance = Distance covered in the first journey + Distance covered in the second journey
Total Distance = 7500m + 3000m
Total Distance = 10500m
Therefore, the total distance covered by the locomotive (toy) during the first and second journey is 10500 meters.
D) The answer is not given in the Options.
Learn more about speed here: brainly.com/question/7359669
#SPJ1
When electricity is “used” or we say that energy is “wasted,” what is actually happening?
Answer:
Wasted energy is energy that is not usefully transferred or transformed. Energy cannot be made or destroyed. Energy is transformed into a different form that can be used. When energy is transformed or transferred only part of it can be usefully transformed or transferred.
17.
_______ energy is energy that is stored or waiting to be used.
Mechanical
Kinetic
Electrical
Potential