Required items:
battery a coil of wireiron coreElectromagnet can be created by wrapping a coil of wire on top of the iron core and passing an alternating current through it with the help of power supply.
the magnetic field will be constantly changing.Answer:
Explanation:
Unlike permanent magnet, electromagnet require a power supply to work. The power supply drives an electric current through coil of wire wrapped around an iron core.
Which of the following is NOT a human blood type?
a.
O
c.
B
b.
AB
d.
R
Answer:
d. R
Explanation:
There are 4 main types of blood – A, B, AB and O.
Blood is the most important component of our life. It is a fluid connective tissue which consists of plasma, blood cells and platelets. It circulates throughout the body and delivers oxygen. Among the given options R is not a blood type. The correct option is D.
What are blood types?It was Karl Landsteiner who discovered the ABO blood group system. There are 4 main blood groups, they are A, B, AB and O. Your blood group is determined by the genes you inherit from your parents. Each blood group may be either RhD positive or RhD negative.
Blood group A has antigens on the red blood cells with anti-B antibodies in the plasma. Blood group B has B antigens with anti-A antibodies in the plasma. The blood group O has no antigens but both antibodies are present whereas AB has no antibodies.
Group O is the universal donor and AB is universal recepient.
Thus the correct option is D.
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3. A car with a mass of 1600 kg has a kinetic energy of 125 000 J. How fast is it moving?
The car is moving at approximately 12.5 meters per second.
The kinetic energy (KE) of an object can be calculated using the formula:
KE = 1/2 * m * \(v^2\)
where
KE = kinetic energy,
m =Mass of the object, and
v = velocity.
In this case, we are given the mass (m) of the car as 1600 kg and the kinetic energy (KE) as 125,000 J. To find the velocity .
Substituting the values , we have:
125,000 J = 1/2 * 1600 kg *\(v^2\)
Now, we can solve for v by rearranging the equation:
\(v^2\) = (2 * 125,000 J) / 1600 kg
\(v^2\) = 156.25 \(m^2/s^2\)
Taking the square root, we find:
v = √156.25\(m^2/s^2\)
v ≈ 12.5 m/s
Therefore, the car is moving at approximately 12.5 meters per second.
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Who came up with the 3 Laws of Motion?
Answer:
Isaac Newton came up with the 3 Laws of Motion
Answer:
Isaac Newton came up with three laws of motion
PLEASE HELP !!!!!! As seen in the lesson video, solar photovoltaic technologies help provide clean electrical energy. Using the video animation as a guide, diagram and label the absorption of photons and production of electrons (photoelectric effect) used in solar PV systems. Include a screenshot or picture of your diagram below.
We can see here that the diagram that reveals the absorption of photons and production of electrons (photoelectric effect) used in solar PV systems is seen below.
What is photon?A photon is a fundamental particle or quantum of light.
It is the smallest indivisible unit of electromagnetic radiation, which also includes radio waves, microwaves, X-rays, visible light, ultraviolet light, and infrared radiation. In scientific calculations, photons are represented by the symbol "c" and move at the speed of light in a vacuum while carrying energy.
Wave-particle duality is the idea that photons are both particles and have wave-like characteristics. This means that they can exhibit wave-like properties like interference and diffraction as well as discrete particle behavior, each with a distinct energy and momentum.
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which of the following is a characteristic of tennis
A compound has a molar mass of 123. 22 g/mol. What is the molecular formula of a substance that has this molar mass?.
If the given compound has a molar mass of 123.22 g/mol then, SrS is the molecular formula of a substance that has this molar mass. Therefore, option c is the correct answer according to the given information.
The molecular formula is defined as the number of atoms present in the molecules of a chemical compound when the two molecules of different substances are combined together. The molecular mass is the mass of a given molecule measured in daltons.
The molar mass of Strontium = 87.22g/mol
The molar mass of Sulfur = 32 g/mol.
The total molecular mass of these two combined compounds
= Strontium + Sulfur = SrS
SrS = 87.22 + 32 = 123.22g/mol.
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The complete question is-
A compound has a molar mass of 123.22 g/mol. what is the molecular formula of a substance that has this molar mass?
A. CoH4
B. PSF3
C. SrS
D. ZrO2
L 2.5.2 Test (CST): The Brain and the Body
Question 4 of 10
The
lobes are important for decision making and judgment.
A. frontal
B. temporal
O c. parietal
D. occipital
SUBMIT
Answer:
I believe it's A frontal. Hope this can help
The frontal lobes are important for decision-making and judgment. The correct answer is A.
What are frontal lobes?The frontal lobes are located at the front of the brain and are involved in a variety of cognitive functions, including reasoning, problem-solving, planning, decision-making, and judgment. The prefrontal cortex, which is located in the frontal lobes, is especially important for these functions.
In addition, the frontal lobes are involved in the control of voluntary movements, speech production, and the regulation of emotions and social behavior. Damage to the frontal lobes can lead to a variety of cognitive and behavioral deficits, including difficulty with decision-making and judgment, impaired impulse control, and changes in personality.
The temporal lobes are located on the sides of the brain and are involved in the processing of auditory information, as well as memory formation and recognition of faces and objects. The parietal lobes are located at the top and back of the brain and are involved in the processing of sensory information from the body, such as touch and proprioception. The occipital lobes are located at the back of the brain and are primarily involved in the processing of visual information.
Therefore, The correct answer is A i.e Frontal lobes are important for decision-making and judgment.
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Consider a uniformly charged ring in the xy plane, centered at the origin. The ring has radius a and positive charge q distributed evenly along its circumference.1. What is the magnitude of the electric field along the positive z axis? Use k in your answer, where k= 1/4piepsion not.( E(z)=? )2.The ball will oscillate along the z axis between z=d and z=-d in simple harmonic motion. What will be the angular frequency omega of these oscillations? Use the approximation d ll a to simplify your calculation; that is, assume that d^2 + a^2 similar a^2.Express your answer in terms of given charges, dimensions, and constants. ( What is value of omega)
The magnitude of the electric field along the positive z axis is kqz/√(z^2+a^2)^3/2 , the angular frequency of these oscillations is √(kqq0/ma^3)
1. Given that a uniformly charged ring in the xy plane, centered at the origin.
Radius of the ring(r) = a
positive charge distributed evenly along its circumference = q
k= 1/4piepsion
The electric field can be described as, E = kq/r^2
The force exerted on an electric charge by a charge is F = q0E
Any vector can be projected along the z = A(z)=Acosθ
We know that ∑F =ma
Acceleration along z axis = a =d^2z/dt^2
The equation of motion for a simple harmonic oscillation along z is d^2z/dt^2 = -ω^2z
Here, ω is the cosine function in a right-angled triangle is cosθ = z/√(z^2+a^2)
dE(z)=dEcosθ we know that E = kq/z^2+a^2
To calculate the magnitude of the electric field caused by complete rings, integrate dE(z)=dEcosθ
E(z) = Ecosθ = kq/(z^2+a^2) x z/√(z^2+a^2)
E(z) = kqz/(z^2+a^2)^3/2
2. We know that F= q0E = kqq0z/(z^2+a^2)^3/2
Given The ball will oscillate along the z axis between z=d and z=-d in simple harmonic motion. Let z =d
F = kqq0d/(d^2+a^2)^3/2 = kqq0d/a^3
Force at any point along z = - kqq0z/a^3
We know F = ma =
- kqq0z/a^3 = md^2z/dt^2
d^2z/dt^2= - kqq0z/ma^3
This equation of motion can be compared with the equation of motion for simple harmonic motions to find the angular frequency.
ω =√(kqq0/ma^3)
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A thin rod extends from
x = 0
to
x = 15.0 cm.
It has a cross-sectional area
A = 8.00 cm2,
and its density increases uniformly in the positive x-direction from 2.50 g/cm3 at one endpoint to 19.5 g/cm3 at the other.
(a)
The density as a function of distance for the rod is given by
= B + Cx,
where B and C are constants. What are the values of B (in g/cm3) and C (in g/cm4)?
B =
g/cm3
C =
g/cm4
(b)
Finding the total mass of the rod requires integrating the density function over the entire length of the rod. The integral is written as follows.
m =
allmaterial
dv =
all x
A dx =
15.0 cm
0
(B + Cx)(8.00 cm2) dx
What is the total mass of the rod (in kg)?
kg
(a) For the density function, the value of B is 2.5 g/cm³ and the value of C is 1.3 g/cm⁴
(b) The total mass of the rod is 1470 g.
What is the density function?The density of the rod is a function of distance and it is given as;
ρ = B + Cx
where;
B and C are constantsρ = 2.5 g/cm³ + (19.5 g/cm³ ) / ( 15 cm ) x
ρ = 2.5 g/cm³ + 1.3 g/cm⁴ x
The total mass of the rod is calculated by integrating the function;
dm = ( B + Cx)(8 cm² ) dx
m = 8B + 8Cx
m = 8Bx + 8Cx² / 2
m = ( 8 x 2.5 x 15 ) + ( 8 x 1.3 x 15² ) / 2
m = 1470 g
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A circuit is constructed with five resistors and a battery as shown. The values for the resistors are: R1 = R5 = 56Ω, R2 = 156Ω, R3 = 54Ω, and R4 = 111Ω. The battery voltage is V = 12 V.1) What is Rab, the equivalent resistance between points a and b?2) What is Rac, the equivalent resistance between points a and c?3) What is I5, the current that flows through resistor R5?4) What is I2 the current that flows through resistor R2?5) What is I1 the current that flows through the resistor R1?6) What is V4, the voltage across resistor R4?
To solve this problem, we need to apply the principles of circuit analysis and use Ohm's law, Kirchhoff's laws, and series and parallel resistor equations.
To find Rab, we need to simplify the circuit first. Resistor R3 is in parallel with R4, so we can combine them using the parallel resistor equation:
1/R34 = 1/R3 + 1/R4
1/R34 = 1/54 + 1/111
R34 = 36.49 Ω
What is Ohm's law?Ohm's law is a fundamental principle of electricity that describes the relationship between electric current, voltage, and resistance in a circuit. It states that the current flowing through a conductor between two points is directly proportional to the voltage across the two points, and inversely proportional to the resistance between them. The mathematical form, Ohm's law is expressed as:
V = IR
Now we have a circuit with four resistors in series: R1, R2, R34, and R5. We can add them using the series resistor equation:
Req = R1 + R2 + R34 + R5
Req = 56 + 156 + 36.49 + 56
Req = 304.49 Ω
Therefore, Rab = Req = 304.49 Ω.
To find Rac, we need to simplify the circuit again. Resistor R2 is in parallel with R34, so we can combine them using the parallel resistor equation:
1/R234 = 1/R2 + 1/R34
1/R234 = 1/156 + 1/36.49
R234 = 29.32 Ω
Now we have a circuit with three resistors in series: R1, R234, and R5. We can add them using the series resistor equation:
Req = R1 + R234 + R5
Req = 56 + 29.32 + 56
Req = 141.32 Ω
Therefore, Rac = Req = 141.32 Ω.
To find I5, we need to use Ohm's law:
I5 = V/R5
I5 = 12/56
I5 = 0.214 A
Therefore, I5 = 0.214 A.
To find I2, we need to use Kirchhoff's current law at node c:
I2 + I34 = I5
I34 = V/R34
I34 = 12/36.49
I34 = 0.329 A
I2 + 0.329 A = 0.214 A
I2 = -0.115 A
The negative sign indicates that the current flows in the opposite direction to what we assumed. So the current flows from b to a through R2.
Therefore, I2 = 0.115 A.
To find I1, we need to use Kirchhoff's current law at node a:
I1 = (V - V34)/Req
V34 = I34 x R34
V34 = 0.329 x 36.49
V34 = 12 V
Req = 304.49 Ω
I1 = (12 - 12)/304.49
I1 = 0 A
Therefore, I1 = 0 A.
To find V4, we need to use Ohm's law:
V4 = I34 x R4
V4 = 0.329 x 111
V4 = 36.62 V
Therefore, V4 = 36.62 V.
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How has Physics improved
or affected our society?
By supplying the fundamental knowledge required to create new instruments and techniques for medical use, physics enhances our quality of life
From can openers, light bulbs, and mobile phones to muscles, lungs, and brains; from paintings, piccolos, and pirouettes to cameras, vehicles, and cathedrals; from earthquakes, tsunamis, and storms to quarks, DNA, and black holes, physics aids us in understanding the workings of the world around us.
The science of physics is the most fundamental and has many applications in contemporary technology. Because it makes it possible for smartphones, computers, televisions, watches, and many other modern technologies to function automatically, physics is crucial to modern technology.
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An insulating vessel contains 80 g of a block of ice at -12 °C. If 450 g of water at 60 °C is added to the ice in the vessel: (i) (ii) AM Determine whether or not the ice will melt completely; Calculate the final temperature of the system. [ specific heat capacity of ice = 2100 J kg ¹K-¹, latent heat of fusion of ice = 3.33 x 10³ J K-¹, specific heat capacity of water = 4200 J kg ¹K-¹] [6 marks] and hy convection.
An insulating vessel contains 80 g of a block of ice at -12 °C. If 450 g of water at 60 °C is added to the ice in the vessel, Energy required for complete melting = \(80 g X (3.33 X 10^3 J/kg)\).
To determine whether the ice will soften absolutely and calculate the final temperature of the system, we need to do not forget the strength transferred among the ice and water at some stage in the procedure.
(i) To decide if the ice will melt completely, we need to examine the energy won by using the ice to the electricity required for complete melting.
Energy received by way of the ice = mass of ice × particular heat capacity of ice × alternate in temperature
Energy won by using the ice = eighty g × 2100 J/(kg·°C) × (final temperature - (-12°C))
Energy required for complete melting = mass of ice × latent warmth of fusion of ice
Energy required for whole melting = 80 g × (3.33 × 10^3 J/kg)
If the strength received via the ice is extra than or same to the electricity required for entire melting, the ice will soften completely.
(ii) To calculate the very last temperature of the gadget, we want to keep in mind the power transferred between the ice and water.
Energy won by the water = mass of water × unique heat ability of water × trade in temperature
Energy received by using the water = 450 g × 4200 J/(kg·°C) × (final temperature - 60°C)
Since electricity is conserved inside the machine, the power gained by means of the ice and water need to be identical:
Energy gained through the ice = Energy won by the water
Using the equations above, we will installation the following equation:
80 g × 2100 J/(kg·°C) × (very last temperature - (-12°C)) = 450 g × 4200 J/(kg·°C) × (very last temperature - 60°C)
Thus, this the final temperature of the system.
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Fig above shows a wave traveling through a medium. Use the fig to answer the questions below.
A.)What is the amplitude of the wave ? Include correct units.
B.)Use the graph to determine the time of one wave. Use it to find the frequency.
C.)If the speed of the wave is 25 m/s, what is the wavelength of the wave ? Show data listing, equation , substitution leading to the answer for full credit.
(a) The amplitude of the wave is 0.2 m.
(b) The period of the wave is 4 s.
(c) The wavelength of the wave is 100 m.
What is the amplitude of the wave?(a) The amplitude of the wave is the maximum displacement of the wave.
amplitude of the wave = 0.2 m
(b) The period of the wave is the time taken for the wave to make one complete cycle.
period of the wave = 5.5 s - 1.5 s = 4 s
(c) The wavelength of the wave is calculated as follows;
λ = v / f
where;
v is the speed of the wavef is the frequency of the wavef = 1/t = 1 / 4s = 0.25 Hz
λ = ( 25 m/s ) / 0.25 Hz
λ = 100 m
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A lizard climbs up a building 15.5 m and then turns around and goes down the bulding 23.7 m. This takes the lizard 31.5s. what is the average velocity of the lizard?
1.24 m/s Down
0.26 m/s Down
258 m/s Down
3.8 m/s Down
The average velocity of the lizard for the whole journey is 0.26 m/s Down.
What is average velocity?The term average velocity has to do with the velocity of the lizard for the whole journey. We can see that the downward displacement is greater than the upward displacement.
Thus;
Velocity = displacement / time = 23.7 m - 15.5 m/31.5s = 0.26 m/s Down.
Thus, the average velocity of the lizard for the whole journey is 0.26 m/s Down.
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The diagram below shows snapshots of an oscillator at different times . What is the frequency of the oscillation ?
In the diagram tha shows snapshots of an oscillator at different times, the frequency of the oscillation is 0.555 Hz.
How to calculate the periodThe period of the oscillation is the time taken for the for the object to return to its original position. (ie. Displacement = 0). From the above snapshot,
Period of oscillation = 1.80s.
From here, finding the frequency is simple as, Frequency = 1/Period. Hence,
Frequency = 1/1.80
= 0.555 Hz (3 sf).
The frequency of the oscillation is indeed 0.555 Hz. The frequency represents the number of oscillations or cycles per second. In this case, the object completes approximately 0.555 oscillations per second.
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How long does it take for a bee traveling 11.34 m/s to fly 120 m?
What does the bottom right picture that says “goal” mean?
The bottom right picture that says “goal” is a reminder to stay focused on what you are striving to achieve. It is a visual representation of the end point of your journey.
What is striving ?Striving is the act of exerting effort, of pushing oneself to reach a goal. It is a conscious effort to achieve success, often through hard work and determination. Striving involves setting objectives, making plans to attain them, and then working to make those plans a reality. It also involves dealing with challenges or roadblocks that may arise along the way. Striving is a continuous process that requires dedication and resilience. It is often a difficult journey, but those who strive often find themselves achieving more than they ever thought possible. Striving can be applied to any aspect of life and is essential for personal growth and development.
It is a way to keep you motivated and remind you of why you are doing what you are doing. It is also a reminder to keep setting and reaching for your goals, no matter how difficult they may seem. By keeping your goal in mind, you can stay on track and continue working towards achieving it.
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A rock falls from a cliff and hits the ground at a velocity of 28m/s. How long did it take to fall?
Answer:
2.8s
Explanation:
=>a = v-u/t
=> t = v - u / t
= 28-0 / 10
= 2.8 s
A boy slides a book across the floor, using a force of 5 N over a distance of 2
m. What is the kinetic energy of the book after he slides it? Assume there is
no friction.
A. 5 J
B. 10 J
C. 20 J
D. 2.5 J
SUBMIT
The kinetic energy of the book after it is slids a distance of 2 meters will be 10 Joules.
How to determine the kinetic energy of an object?The work-energy theorem states that "the work done on an object is the change in its kinetic energy".
Hence;
Kinetic energy = work done
Note that: work-done is expressed as:
Work done = f × d
Where f is force applied and d is distance traveled.
Given that:
Force applied f = 5 newton
Distance d = 2 meters
Work done = ?
Plug these values into the above formula and solve for the workdone.
Work done = f × d
Work done = 5N × 2m
Work done = 10Nm
Work done = 10 Joules
Therefore, the kinetic energy is 10 Joules.
Option B) 10 J is the correct answer.
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A Student 330 m 990m from another tall flip between the the Student stands Sound Interval beteeen cliff is cliff from of 1 st and 630 tall Hip which speed of 330 if the 330 m/s 2nd eh what is echo?
The interval between the first and second echo is 7 seconds. This means that after the initial sound wave reaches the first cliff, it takes a total of 7 seconds for the sound to travel to the second cliff and then return to the student as the second echo.
To determine the interval between the first and second echo, we need to consider the time it takes for sound to travel from the student to the first cliff, and then from the first cliff to the second cliff, and finally back to the student.
Let's break down the distances and calculate the time for each part of the journey:
Distance from the student to the first cliff: 330 meters
Time taken: t₁ = distance / speed = 330 m / 330 m/s = 1 second
Distance from the first cliff to the second cliff: 990 meters
Time taken: t₂ = distance / speed = 990 m / 330 m/s = 3 seconds
Distance from the second cliff back to the student: 990 meters
Time taken: t₃ = distance / speed = 990 m / 330 m/s = 3 seconds
Now, we can calculate the total interval between the first and second echo by adding up the individual times:
Interval between first and second echo = t₁ + t₂ + t₃ = 1 s + 3 s + 3 s = 7 seconds
Therefore, the interval between the first and second echo is 7 seconds. This means that after the initial sound wave reaches the first cliff, it takes a total of 7 seconds for the sound to travel to the second cliff and then return to the student as the second echo.
It's important to note that this calculation assumes a straight path for the sound waves and neglects factors such as air temperature and wind that can affect the speed of sound. Additionally, it assumes perfect reflection of sound waves off the cliffs, which may not be the case in real-world scenarios.
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Note the complete questions is:
A student stands 330m from a tall cliff which is 990m from another tall cliff. If the speed of sound between the cliffs is 330m/s.What is the interval between the first and second echo?
how long in seconds would it take a rock to fall 450 feet and what would be the final velocity of the rock in miles per hour when it hit the ground
Answer:
S = Vy t + 1/2 g t^2 = 1/2 g t^2 vertical speed with zero initial speed
t = (2 S / g)^1/2 with g = 32 ft/sec^2
t = (900 / 32)^1/2 = 5.30 sec time to reach ground
V = a t = 32 ft/s^2 * 5.30 s = 170 ft/sec
170 ft/sec / (88 ft/sec / 60 mph) = 116 mph since 88 ft/sec = 60 mph
How are rainbows made?
Answer:
when it rains and at the same time it sunny there would appear a rainbow
why is metal a good conductor of electricity; why do metals conduct heat; why do metals conduct electricity and heat; why do metals have high melting points; why do metals conduct electricity structure and bonding; electrical conductivity of metals; thermal conductivity of metals; electrical conductivity of iron
every atom has at least one free electron.
Because the free electrons in metals are not bound to the atoms, they are free to flow between the atoms.
Due to the size of metals' lattice structures, there are many electrostatic forces.
The size of broken is enormous.
because the delocalized electrons in them cause the metal to conduct electrical charge.
related to its temperature
Iron 9.70×10−8 1.03×107
Because at least one electron per atom is free, metals are effective heat and electricity conductors.
Free electrons that are not bound to the atoms exist in metals. These electrons are unrestricted in the metal, interacting with the metal atoms to effectively transmit heat to them. As a result, metals are superior heat conductors than the majority of other materials.
By allowing free electrons to travel between the atoms, metals conduct electricity.
Metals have high melting and boiling temperatures because they have massive lattice structures and must break a huge number of electrostatic forces.
Because of their delocalized electrons, which transmit electrical charge through the metal, metals are electrical conductors, and their structure and bonding explains these characteristics.
According to the Wiedemann-Franz law, a metal's temperature directly affects how much thermal conductivity there is compared to electrical conductivity.
These eight electrons are the reason why iron metal has a high electrical conductivity.
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The radius of curvature is smaller at the top than on the sides so that the downward centripetal acceleration at the top will be greater than the acceleration due to gravity, keeping the passengers pressed firmly into their seats. What is (a) the speed of the roller coaster at the top of the loop (in m/s) if the radius of curvature there is 13.0 m and the downward acceleration of the car is 1.50 g, and (b) the minimum speed necessary for the coaster to complete the loop without falling off the track?
the answer for the speed of the roller coaster at the top of the loop is v = 14.8 m/s
the minimum speed necessary for the coaster to complete the loop without falling off the track is 11.3 m/s.
Explanation to the Roller Coaster Speed Calculation(a) To find the speed of the roller coaster at the top of the loop, we can use the equation for centripetal acceleration: a = v^2/r. We know that the radius of curvature is 13.0 m and the downward acceleration of the car is 1.50 g (where g is the acceleration due to gravity, approximately 9.8 m/s^2).
So, we can rearrange the equation to solve for v: v = sqrt(ar)
Plugging in the values, we get: v = sqrt(1.5g * 13m)
v = sqrt(22.5 * 9.8)
v = sqrt(219.5)
v = 14.8 m/s
(b) To find the minimum speed necessary for the coaster to complete the loop without falling off the track, we can use the same equation for centripetal acceleration, but this time we will use the minimum value of a that will keep the car on the track, which is equal to the acceleration due to gravity (g).
So, we can rearrange the equation to solve for v: v = sqrt(ar)
Plugging in the values, we get: v = sqrt(g * 13m)
v = sqrt(9.8 * 13m)
v = sqrt(127.4)
v = 11.3 m/s
So the minimum speed necessary for the coaster to complete the loop without falling off the track is 11.3 m/s.
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statics and strength of materials
The magnitude of the force P provided that the stress in the part AB is two times that of BC part is 0.8 kN.
What is the force P?The magnitude of the force P provided that the stress in the part AB is two times that of BC part is calculated as follows;
Take moment about the joint to determine the magnitude of the force along part BC.
120 kN x 750 mm = F x 1000 mm
F = ( 120 kN x 750 mm ) / ( 1000 mm )
F = 90 kN
Stress is given as force divided by area. The following equation can be used to determine the magnitude of force P.
Stress in AB = 2 times stress in BC
P/A₁ = 2F/A₂
where;
A₁ is the area of segment ABA₂ is the area of segment BCA₁ = πd²/4 = π(50 x 10⁻³)²/4
A₁ = 1.96 x 10⁻⁵ m²
A₂ = πd²/4 = π(75 x 10⁻³)²/4
A₂ = 4.42 x 10⁻³ m²
P/A₁ = 2F/A₂
P = (2F x A₁) / (A₂)
P = (2 x 90 kN x 1.96 x 10⁻⁵ m² ) / ( 4.42 x 10⁻³ m² )
P = (2 x 90,000 N x 1.96 x 10⁻⁵ m² ) / ( 4.42 x 10⁻³ m² )
P = 798.2 N
P = 0.798 kN
P ≈ 0.8 kN
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A 21 kg chair initially at rest on a horizontal floor requires a 71 N horizontal force to set it in motion.
Calculate the magnitude of the weight of the chair.
The magnitude of the weight of the 12 kg chair is 117.6 N
What is the weight of an object?The weight of an object is the magnitude of the force of gravity acting on an object.
The unit of the weight of an object is Newton, N.
The weight of an object is given mathematically as follows:
weight = m * g
where;
m is the mass of the object
g is the acceleration due to gravity = 9.8 m/s²
From the data provided, the weight of the chaur is calculated below.
The weight of the 12 kg chair will be:
weight= 12 * 9.8
Weight = 117.6 N
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A plane flying horizontally at 377 m/s releases a package at an altitude of 15,770 m. How long will the package take to reach the ground?
Answer:
Unit:
Answer:
An object is called a horizontal projectile if it is launched from a certain height with some initial horizontal velocity only. The initial vertical velocity of such an object is zero. But as the object falls through the atmosphere the horizontal component of velocity remains constant but vertical component increases due to gravitational acceleration.
Explanation:
Superman must stop a 120−km/h train in 150 m to keep it from hitting a stalled car on the tracks. If the train’s mass is 3.6×105 kg, how much force must he exert? Compare to the weight of the train (give as %). How much force does the train exert on Superman?
The force that Superman must exert is -1.33 * 10⁶ N
The force that must be exerted by Superman is 37.6 % of the weight of the train.
The force the train exerts on superman is 1.33 * 10⁶ N
What is the average acceleration of the train?The average acceleration of the train is determined from the equation of motion as follows:
v² = u² + 2as
where
v is final velocity = 0 m/s
u is initial velocity = 120 km/h
To convert km/h to m/s, we multiply km/h by 1000/3600
u = 120 * 1000/3600
u = 33.3 m/s
a = ?
s = 150 m
a = v² - u² / 2s
a = 0 - 33.3² / 2 * 150
a = 3.696 m/s²
Force that must be exerted will be:
Force = mass * accelerationForce = 3.6 × 10⁵ * 3.696 m/s²
Force = -1.33 * 10⁶ N
b. Weight of train = 3.6 × 10⁵ * 9.81
Weight of train = 3.53 * 10⁶ N
The ratio of the force and the weight of the train = (-1.33 * 10⁶ / 3.53 * 10⁶) * 100%
The ratio of the force and the weight of the train = 37.6%
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What type of electromagnetic wave is sent as a signal by a cell phone to the
nearest cell tower?
A. Gamma rays
B. Microwaves
C. X-rays
D Ultraviolet
Answer:B. Microwaves
Explanation:
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You’re an astronaut in the first crew of a new space station. The station is shaped like a wheel 22 m in diameter, with essentially all its 5.0×105 kg mass at the rim. When the crew arrives, it will be set rotating at a rate that requires an object at the rim to have radial acceleration g, thereby simulating Earth’s surface gravity. This will be accomplished using two small rockets, each with 100 N thrust, mounted on
the station’s rim. Determine how long to fire the rockets.
The time taken to fire the rocket at the given thrust is 1,382.3 seconds.
What is the centripetal acceleration of the wheel?The centripetal acceleration of the wheel is calculated by applying the following formula.
F = ma
where;
a is the centripetal acceleration of the wheelm is the mass of the wheelF is the thrust or force of the rocketsa = F / m
a = (100 N) / (5 x 10⁵)
a = 2 x 10⁻⁴ m/s²
The velocity of the wheel is calculated as follows;
a = v²/r
where;
r is the radius of the wheel = 11 mv² = ar
v = √ (ar)
v = √ (2 x 10⁻⁴ x 11 )
v = 0.05 m/s
The time of motion of the motion of the rockets at the given speed is calculated as;
v = 2πr / T
T = 2πr / v
T = (2π x 11) / (0.05)
T = 1,382.3 seconds
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