Answer:
a) 6.24 × 10⁻³ V
b) 4.16 × 10⁻³ m²/s
Explanation:
Given that:
(a)
Area A = 0.026 m²
[tex]\dfrac{dB}{dt}=0.24 \ T/s[/tex]
[tex]e=\dfrac{d\phi}{dt} \\ \\ = \dfrac{d}{dt}(BA) \\ \\ =A\dfrac{dB}{dt} \\\\= 0.026 \times 0.24 \\ \\ = 0.00624\ V \\ \\ \mathbf{= 6.24 \times 10^{-3} \ V}[/tex]
(b)
[tex]Here; \\ \\ e =0\\\\ \dfrac{d}{dt}(BA) =0 \\ \\ \implies B\dfrac{dA}{dt}+ A\dfrac{dB}{dt} = 0 \\ \\ B\dfrac{dA}{dt}= -A\dfrac{dB}{dt} \\ \\ \dfrac{dA}{dt}= -\dfrac{A}{B} \dfrac{dB}{dt} \\ \\ = -\dfrac{0.026}{1.5}\times 0.24 \\ \\ \dfrac{dA}{dt}= 4.16 \times 10^{-3}\ m^2/s[/tex]
Michael stands upright and allows his right arm to swing back and forth, naturally and without forcing, like a pendulum. He measures the time for 21 oscillations (complete cycles) to be 28.1 s. Assume his arm (length L) behaves as a simple pendulum, with an effective length of 2/3 L. Find the length of his arm, L.
Answer:
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The length of his arm, L = 0.67 m.
What is time period?
A basic pendulum consists of a point mass hung by a tightly supported, weightless, and inextensible string.
T = 2π√ L/g, where L is the pendulum's length and g is the acceleration brought on by gravity, is the formula for a pendulum's period.
Given in the question the time for 21 oscillations (complete cycles) to be 28.1 s. Assume his arm (length L) behaves as a simple pendulum, with an effective length of 2/3 L.
T = 2π√ L/g
T = 2π√2l/3g
T = 28.1/21
T = 1.33
2π√2l/3g = 1.33
l = .67 m
The length of his arm, L = 0.67 m.
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A bucket crane consists of a uniform boom of mass
M = 201 kg and length L= 59.05 ft that pivots at a point on
the bed of a fixed truck. The truck supports an elevated bucket
with a worker inside at the other end of the boom, as shown in
the figure. The bucket and the worker together can be modeled
as a point mass of weight 201 lb located at the end point of
the boom.
Suppose that when the boom makes an angle of 68.7° with the
horizontal truck bed, the bucket crane suddenly loses power,
causing the bucket and boom to rotate freely toward the
ground. Find the magnitude of the angular acceleration la of
the system just after the crane loses power. Take the rotation
axis to be at the point where the boom pivots on the truck bed.
Use g = 9.81 m/s2 for the acceleration due to gravity. For unit
conversions, assume that 1 m = 3.28 ft and 1 lb = 4.45 N.
Express your answer to at least two decimal places.
Newton's second law for rotational motion allows finding the results for the angular acceleration of the system at the moment of losing power is:
α =0.616 rad / s²
Newton's second law for rotational motion relates the torque to the moment of inertia and the angular acceleration, in the special case where the angular acceleration is zero, it is called the rotational equilibrium condition.
[tex]\sum \tau = I \alpha[/tex]
[tex]\tau = F \ r \ sin \theta[/tex]
where τ is the torque, F is the force, r the distance to the pivot point and θ the angle between the force, the distance, I is the moment of inertia and α is the angular acceleration.
In this case they indicate the values in several different units, let's reduce to the international system of measurements (SI).
Beam mass M = 201 kg Beam length L= 59.05 ft (1m / 3.28 ft) = 18.0 m Worker and basket weight Wh = 201 lb (1N / 0.2248 lb) = 894.1 N Beam angle tea = 68.7º
We place our reference system at the base of the beam on the truck and counterclockwise turns as positive, and in the attached we see a free-body diagram of the system.
[tex]W_m \ L \ sin 68.7 + Mg \ \frac{L}{2} \ sin 68.7 = I \alpha[/tex]
The moment of inertia is an additive scalar quantity, the total moment of inertia is the moment of inertia of the pen plus the moment of inertia of the man.
Moment of inertia of the beam with respect to one end.
[tex]I_[/tex] = ⅓ ML²
moment of inertia of man
[tex]I_m = M_m L^2[/tex]
Let's substitute
[tex](W_m + \frac{Mg}{2} ) \ L \ sin 68.7 = (\frac{1}{3} M + m_m ) L^2 \alpha \\\alpha = \frac{(W_m + \frac{Mg}{2} ) sin 68.7 }{ (\frac{1}{3} M + m_m ) L }[/tex]
Let's calculate
The mass of man is
m = [tex]\frac{W_m}{g}[/tex]
m = 894.1 / 9.8
m = 91.2 kg
[tex]\alpha = \frac{(894.1 +2.1 \ 9.8 ) \ sin 68.7 }{ 18.0 ( \frac{201}{3} + 91 }[/tex]
α = 0.616 rad / s²
In conclusion using Newton's second law for rotational motion we can find the results for the angular acceleration of the system at the moment of losing power is 0.616 rad / s²
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A golf ball is hit with an initial velocity of 20m/s at an angle of 30° to the horizontal. calculate;
the time of flight
Answer:
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If your hammer develops a loose head, you can tighten it by banging
it on the ground. A little physics secret though - it's better to bang
the hammer head up rather than head down. Explain, using inertia.
weight from the hammer head makes the inertia better making it better with the head up it. the body has less weight the inertia force isn't as good. (or something like that.)
Which statement best explains how a planet affects the orbit of a comet as the comet passes by the planet?
An example of a neologism from the Internet is:
A. jam (meaning "to play music").
B. peeps (meaning "people" or "the friends you hang out with").
C. bromance (meaning "a close male friendship").
D. defriend (meaning "to remove someone from a friends list").
Answer: peeps
Explanation: meaning “people” or “the friends you hang out with”
Answer: Defriend (meaning "to remove someone from a friends list").
Explanation: Just in case someone comes by again like I did..
How mass and volume of matters are connected to density?
This is a physics question not maths
Answer:
An object's density is the ratio of mass to volume of an object. The mass is how much it resists acceleration when a force is applied to it and generally means how much of an object or substance there is. Volume describes how much space an object takes up.
bro someone please help me, i need to turn this in by tomorrow first class of the day. if you can answer this page for me, please answer with a short sentence or paragraph if needed. thank you and please help me.
Answer: Sorry you I don't umderstand
Explanation:
The mass of an object is 100mg. What is the object's mass in kg? Show your work
Answer:
0.0001 kg
Explanation:
The weight in Kilograms is equal to the milligrams divided by 1,000,000.
100 ÷ 1,000,000
a car is traveling with a momentum of 15,000 kgm/s. It strikes a garbage can on the curb. If the garbage can is launched off of the bumper with a momentum of 5,000 kgm/s, how much momentum does the car still have?
Answer:
c
Explanation:
it was a crash they both lost momentum
(03.02 LC)
Which of the following is a complementary base pair for DNA?
O Adenine and cytosine
O Guanine and cytosine
O Adenine and guanine
O Cytosine and thymine
Answer:
O Adenine and guanine
Explanation:
i think tell me if im rong
Guanine and cytosine are complementary base pairs for DNA, hence option B is correct.
What is the complementary base pairing in DNA?Adenine and thymine are joined by two hydrogen bonds, whereas guanine and cytosine are joined by three hydrogen bonds.
Base pair of DNA. The nitrogen-containing bases adenine (A), thymine (T), and cytosine (C), as well as guanine (G), the couple together under normal conditions. The structure of DNA is created by the binding of these base pairs.
In order to construct the helical structure of DNA, complementary base pairing is crucial because it enables the base pairs to be placed in the most energetically advantageous manner.
Therefore, due to the fact that it permits semiconservative replication, it is also crucial in replication.
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Why does the sun have less gravitational pull on planet far away like Pluto?
Answer:
Because the planet is far away from the sun
Explanation:
The closer the planet is to the Sun, the greater the pull of the Sun's gravity, and the faster the planet orbits.
While, over here the Pluto is very far away from the Sun so it will have very little gravitational pull and still keeps revolving around the Sun
Pls Mark BrainliestWhat is three famous people you know
Answer:
Martin Luther King Jr., Mark Zuckerburg, Jeff Bezos
Explanation:
First 3 people to come to my head.
I need help, Will mark branliest!
A 5.7 kg block slides along a horizontal surface toward a horizontally mounted spring with a spring constant of 150 N/m. At one instant, the block is 5.0 m from the end of the spring and has a speed of 12.0 m/s. If the surface is frictionless, what is the maximum compression of the spring
Hi there!
We can use the conservation of energy:
Ei = Ef
The initial energy involves kinetic energy while the final energy involves maximum elastic potential energy, so:
1/2mv² = 1/2kx²
We can cancel out the 1/2s for ease of solving:
mv² = kx²
Plug in given values to solve for x:
√(mv²/k) = x
√(5.7)(12²)/(150)) = x
x = 2.339 m
In two paragraph of lines each, describe how you
would simplify, for your
grade 10 learners the
following topics
1.1 Electricity and magnetism.
The question above wants to assess your ability to simplify complex matters. In that case, I can't answer this question for you, but I'll show you how to answer it.
First, you should research electricity and magnetism. This research will make you understand the subject and all its elements. You can do this research in textbooks and digital platforms aimed at children and teenagers since these media usually present subjects in a more simplified way.
After doing this research, you will be able to write a text about electricity and magnetism as follows:
Present the main focus of this subject.Present the elements that make up this subject.Present how this subject applies in the real world.Present the importance of this subject in human life and society.Remember that you must use simple language, without the use of technical terms, but with common terms.
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What is the smallest part of a compound called?
element
O
molecule
O
atom
O
mixture
o
Answer:
Here is your answer,thanks for using brainly!
Explanation:
B:Molecule
Molecules usually consist of 2 atoms linked together,however some molecules consist of thousands of atoms!
Here is a list of smalles to largest with the answers provided
Molecules
Atoms
Elements
Mixtures
Hope this helped
Plz mark brainliest
Dont forget to smash that heart at the bottom <3
Have a great day!
The ability to catch on fire or burn.
(a). flammability (B)alkali metals (c)corrosion
Answer:
a. flammability
Explanation:
it is in the name "flame"
Answer:
The ability to catch on fire or burn is (a). flammability
Explanation:Flammability is the ease with which a combustible substance can be ignited, causing fire or combustion or even an explosion.
Say hi :P...................................................................
HELLOOOOOOOOOOOOOOOOOOOOO
What is a common noun?
I HOPE IT WILL HELP YOU.
Thank you.
TEDDYLOVER
What is the word meaning for every for each
Answer:
There grateful for each and every aportunity they've been given
The neurocognitive model of dreaming argues that dreams:
A. reflect the waking concerns and preoccupations of the dreamer.
B. represent the fulfillment of repressed wishes and urges.
C. have no meaning whatsoever and simply reflect random neural firings in the brainstem.
D. contain images that disguise the dream's true psychological meaning.
Dreams Often Feature Intense Emotions
Dreams Often Feature Intense EmotionsIn some instances, these emotions can become so intense that they interrupt the dream or cause the dreamer to wake abruptly. The three most common emotions that become intensified by dreams are anxiety, fear, and surprise.
dream
dreamFirst, let examined the definition of dream according to Sigmund Freud “dream is the disguised fulfilment of a repressed wish. Dreams are constructed like a neurotic symptom: they are compromises between the demands of a repressed impulse and the resistance of a censoring force in the ego” (Freud, 28).
Bright light therapy is used to gradually shift sleeping patterns to what we consider normal. For treatment, the timing of light exposure is critical. For DSPS, the light must be delivered to the retina as soon after spontaneous awakening as possible to achieve the desired effect.
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In the free-body diagram, what is the net force? (Hint-Trig.- SOH-CAH-TOA)
a. 35 N right
b. 28 N right
c. 75 N
HELP PLEASE!
A book sits motionless on a table. Which statement is true?
The downward force is greater than the upward force on the book.
There are no forces acting on the book.
The upward force is greater than the downward force on the book.
The forces acting on the book are balanced by each other.
Answer:
I think the second one! So sorry if it's wrong!
Explanation:
Because if it's sitting motionless, then nothing is happening to it.
A book sits motionless on a table so the forces acting on the book are balanced by each other.
What is force?
A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
A book sits motionless on a table that means forces acting on the book are balanced by each other. As book have mass so gravitational force acting in downward but opposite to that normal force because of friction is acting that stops book to be in motion.
A book sits motionless on a table so the forces acting on the book are balanced by each other.
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Electrons are ____________ charged particles. Answer here
Answer:
negatively charged
Explanation:
Answer: electrons are negative charged
Explanation:
what is the best name for binary compound of nitrogen and oxygen
A . Nitrogen oxide
B. Nitrogen oxnie
C.oxide nitrogen
D.Nitride oxygen
Taking care of yourself can sometimes be hard work and can even lead to feelings of
Answer:
deception
Explanation:
You're out for run. Your initial velocity is 1.5 m/s. Suddenly a crazy dog starts chasing you and you accelerate to a velocity of 3 m/s. It takes you 10 seconds to find a safe place to hide from the Chihuahua. What was your displacement?
Show your work for displacement.
Include units.
The displacement of your motion during the entire motion is 22.5 m
The given parameters;
your initial velocity, u = 1.5 m/syour final velocity , v = 3 m/stime of motion, t = 10 sThe displacement of your motion during the entire motion is calculated from your average velocity and time of motion.
This magnitude of this displacement is calculated as follows;
[tex]s = (\frac{u+ v}{2} )t\\\\s = (\frac{1.5 + 3}{2} ) \times 10\\\\s = 22.5 \ m[/tex]
Thus, the displacement of your motion during the entire motion is 22.5 m.
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A projectile is launched
horizontally from a cliff
top at 16 m/s.
Determine the values
of the velocity
components at 1-
second intervals of
time.
The vertical component of the velocity after the given time is -9.8 m/s while the horizontal component of the velocity is 16 m/s.
The given parameters;
initial horizontal velocity, vₓ = 16 m/sinitial vertical velocity, [tex]v_y =0[/tex]time interval 1 secondsThe components of the velocity can be horizontal or vertical velocity.
The vertical component of the velocity is affected by acceleration due to gravity while the horizontal component of the velocity is not affected by gravity.
The vertical component of the velocity is calculated as;
[tex]v_y = v_0_y -gt\\\\v_y = 0 - (1\times 9.8)\\\\v_y = -9.8 \ m/s[/tex]
The horizontal component of the velocity is constant since it is not affected by gravity.
The horizontal component of the velocity = 16 m/s
Thus, the vertical component of the velocity after the given time is -9.8 m/s while the horizontal component of the velocity is 16 m/s.
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If an object is falling towards the ground with a force of 98 N and accelerates at a rate of 9.8 m/s², what is the mass of the object (mass will be in the unit of kilograms)?
Answer:
960.4
Explanation:
98x9.8=960.4