The main difference between potential and kinetic energy is that one is the energy of what can be and one is the energy of what is. In other words, potential energy is stationary, with stored energy to be released; kinetic energy is energy in motion, actively using energy for movement.
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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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two balls are dropped from rest and allowed to fall for 1 s and the other for 3 s, compare the distances they have fallen
Which statement is TRUE regarding the sleeping brain?
A. Some brain neurons remain active during sleep, while others do not.
B. The sleeping brain is idle.
C. Sleep is a global, brain-wide state.
D. All brain areas are shut down during sleep.
Many biological processes happen during sleep: The brain stores new information and gets rid of toxic waste. Nerve cells communicate and reorganize, which supports healthy brain function. The body repairs cells, restores energy, and releases molecules like hormones and proteins.
The true statement regarding the sleeping brain is: sleep is a global, brain-wide state, which is in option c as sleep is not a state of idleness or a shutdown of all brain areas.
Sleep is a complex and dynamic process that involves various regions and functions of the brain. While some brain neurons may decrease their activity during certain stages of sleep, other neurons remain active and play crucial roles in regulating sleep processes. Sleep is considered a global state because it involves widespread changes in brain activity and connectivity. Different brain regions exhibit synchronized patterns of activity during specific sleep stages, and these patterns contribute to functions such as memory consolidation, restoration, and emotional processing.
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Book A with a mass of 1.00 kg is placed on a horizontal table. Book B with a mass of 0.500 kg is placed on top of book A. What is the magnitude of the normal force exerted on book A by the table?
Answer:
Explanation:
N = mg = (1.00 + 0.500)(9.81) = 14.7 N
The magnitude of the normal force exerted on book A by the table is 14.7 N
ForcesFrom the question, we are to determine the magnitude of the normal force.
The normal force ca be calculated by using the formula
[tex]F_{n} = mg[/tex]
Where [tex]F_{n}[/tex] is the normal force
m is the mass
and g is the gravitational field strength ( g = 9.8 m/s²)
The mass will be addition of the masses since Book B is placed on top of the book.
Thus,
m = 1.00 kg + 0.500 kg = 1.50 kg
Then,
[tex]F_{n} = 1.5 \times 9.8[/tex]
[tex]F_{n} = 14.7 \ N[/tex]
Hence, the magnitude of the normal force exerted on book A by the table is 14.7 N
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Which statement is true?
A. Speed is a scalar quantity and velocity is a vector quantity.
B. Speed and velocity are both scalar quantities.
C. Speed and velocity are both vector quantities.
D. Speed is a vector quantity and velocity is a scalar quantity.
E. Speed and velocity are neither a scalar quantity nor a vector quantity.
Help! Especially from any PLATO users!
A ) Speed is a scalar quantity and velocity is a vector quantity.
Plzz help mee guys I need the ans
Answer:
the answer is c
Explanation:
copper and silver are the only 2 conductors listed.
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
A plane moves 599 m northeast along a runway.
If the northern component of this displacement
is 89 m, how large is the eastern component?
The eastern component of the plane's displacement is 592.35 m.
The given parameters;
the resultant of the plane displacement = 599 mthe northern component of this displacement, Y = 89 mLet the eastern component of this displacement = XThe eastern component of the plane's displacement is calculated by applying Pythagoras theorem as follows;
X² + Y² = 599²
X² + 89² = 599²
X² = 599² - 89²
X² = 350880
X = √350880
X = 592.35 m
Thus, the eastern component of the plane's displacement is 592.35 m
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Look at the figure below and calculate the length of side y.
A. 8.5
B. 17
12
y
C. 6
O D. 12
45
Х
A sports car reaches a speed of 50 m/sec in 12 seconds after staring from rest. The acceleration of the car is
Acceleration = (change in speed) / time for the change)
Acceleration = (50 m/s) / (12 s)
Acceleration = (4 and 1/6) m/s²
If an athletic field has 440 metre, how many rounds must an athlete do to cover a half marathon, I.e 21km and 200 metre
Answer:
53
Explanation:
Given:
perimeter of the field = 440 m
Half of the distance of marathon = 21 km and 200 meter
Step-by-Step Explanation:
21 km 200 meter
=
21200 Meter (1km= 1000M)
21200 ÷ 400
= 53
please can anybody tell me what are these lab equipments
Answer:
5 is the tripoid stand
Thanks have a bangtastic day
Answer:
hii there
5 ) tripod
6 ) test tube holder
Explanation:
Hope it helps
Have a nice day : )
Helllppppp pleaseeeeee!!!
A motorcycle travels 90.0 km/h. How many seconds will it take the motorcycle to cover 2.10 x 103 m?
Answer:
The time taken is 84 seconds, please give the brainliest award would be much appreciated.
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.
Write the number below in scientific notation, 35,600 O A. 3.56 x 103 O B. 3.56 x 103 O C. 3.56 x 104 O D. 3.56 x 105
Explain what would happen if an ebonite rod charged with fur is brought together with an acetate rod charged with silk
Answer:
The ebonite becomes negatively charged, and the fur becomes positively charged.
Explanation:
When an ebonite rod is rubbed against animal fur, some of the electrons from atoms of the fur are transferred to the rod.The ebonite becomes negatively charged, and the fur becomes positively charged.(a) A positive charge (+) and a negative charge (–) attract each other. (b) Two negative charges repel each other. (c) Two positive charges repel each other.
please answer me!!! asappp
Answer:
omg this is hard
Explanation:
Yes it is lol
Which of the following is an example of an acceptable time to ignore the rules and etiquette of a sport?
A.
when no one else notices
B.
when nobody really gets hurt
C.
when the outcome of the game isn't affected
D.
it's never acceptable to ignore rules and etiquette
Answer:
D-it's never acceptable to ignore rules and etiquette
Explanation:
We should know that it's never acceptable to ignore rules and etiquette.
What are the rules of etiquette in sports?The rules of etiquette in sports are the rules of the sports that have been document by the various sports federations.
We should know that it's never acceptable to ignore rules and etiquette. These will make the the sports a lawless act and full of chaos.
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A grand prix racing car has an average lap speed of 180km/h.Each lap is 4.5 km. How many laps will it complete in 1.5 hours
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Lap speed = 180 km/h
Each lap is about 4.5 km
So, number of laps it will complete in 1.5 hour :
[tex] \dfrac{180}{4.5} \times 1.5[/tex][tex] \dfrac{180}{3} [/tex][tex]60 \: \: laps[/tex]A car drives around a racetrack for 30 seconds. What do you need to know to
calculate the instantaneous speed of the car at a given point?
A. The total displacement of the car
B. The time needed to drive 1 lap
C. The slope of the car's position-time graph
D. The average speed of the car
Answer: the slope of the cars position-time graph
Explanation:
Just took the test
A strong magnetic field surrounds Earth. How does Earth’s magnetic field help humans?
Answer:
it deflects most of the solar wind, whose charged particles would otherwise strip away the ozone layer that protects the Earth from harmful ultraviolet radiation
A train travels meters in the first second of travel, 6 meters again during the second second of travel, and 6 meters again during the third second. Its
acceleration is
O 0 m/s
6 m/s
O 12 m/s/s
18 m/s
O None of the above
Answer:
0 m/sExplanation:
there is no acceleration, it's velocity is always 6m/s
so your answer is 0m/s
A 20-ohm resistor is connected to a 10 V battery. The 20-ohm resistor is replaced with a smaller resistor. What happens to the voltage across the resistor?
Explanation:
It is given that,
Resistance, R = 20 ohms
Voltage of the battery, V = 10 V
We can find current flowing through the circuit using Ohm's law as follows :
V = IR
\begin{gathered}I=\dfrac{V}{R}\\\\I=\dfrac{10}{20}\\\\I=0.5\ A\end{gathered}I=RVI=2010I=0.5 A
It can be seen from the Ohm's law, that the current is directly proportional to the voltage. It means that if the battery is replaced by a battery that provides a larger voltage, the current through the circuit will be more than 0.5 A i.e. it increases
An apple falls from a tree and 2.5 seconds later hits the ground. How fast is the apple falling when it hits the ground? Neglect air resistance.
O 2.5
05
O 20
0 25
Answer:
9.8 m/s²Explanation:
Since the ball rises for 2.5 s, the time to fall is 2.5 s. The acceleration is 9.8 m/s2 everywhere, even when the velocity is zero at the top of the path. Although the velocity is zero at the top, it is changing at the rate of 9.8 m/s² downward.What happens if hair has static electricity
Answer:
it goes up
Explanation:
answer the question below
Answer:
1. Shield volcano
Runny,basaltic magma with low silica and low gas content. Has a broad,low profile.
2. Cinder cone volcano
Thick viscosity andesitic magma with high silica content and high gas content. Rapidly solidifying lava forms high,steep-sided cones.
3. Composite volcano
Medium viscosity rhyolitic magma with medium silicon content and medium gas content.Have flatter domes called cones.
Explanation:
Hope it helps you..
Your welcome in advance..(◍•ᴗ•◍)
Question 5 (4 points)
Piedra Vista High School is 35 degrees north of east, 3.31 miles away from FHS. How many miles north and east is it? Round to the nearest
tenth of a mile.
North:
miles
East:
miles
Blank 1:
Blank 2:
Answer:
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Explaining How Temperature Affects the Speed of a Wave
Does sound travel faster in a warm room or a cold room?
Explain your answer
Answer:
Warm Room
Explanation:
Sound, like any wave, is a transfer of energy from one particle to another.
As temperature rises, each particle will have more energy; they will collide into other particles more often.
As the frequency of collisions increase, the speed of which the sound wave is transferred increases.
