"If the springy part of the fern were attached to one seed and the stem, then when the elastic potential energy of a springy part is converted to kinetic energy, some of the kinetic energy would be on the stem. In fact, if the stem has very little mass, then it would move a greater distance than the seed and according to W = f delta x, more work would be done on the stem than the seed. If there are two seeds, then each will leave with the same kinetic energy and no energy is wasted on unwanted motion of the stem."
Kinetic energy is possessed by the bodies which are in movement.
Elastic potential energy is the kind of energy stored as a result of applying force to deform an elastic object.
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(b)
The aorta transports blood from the heart to the body.
In a person at rest:
blood travels at a mean speed of 10 cm/s in the aorta
blood travels at a mean speed of 0.5 mm/s in the capillaries
the speed of blood decreases at a rate of 0.4 cm/s² as blood travels from the
aorta to the capillaries.
Calculate the time it takes for blood to travel from the aorta to the capillaries.
Assume that the speed of blood decreases at a constant rate.
Use the equation:
rate of decrease in speed=
Give your answer to 2 significant figures.
change in speed
time
The time it takes for blood to travel from the aorta to the capillaries is 20 seconds. This can be calculated using the equation: t = v₁ - v₂ / a , where v₁ is the initial velocity (10 cm/s), v₂ is the final velocity (0.5 mm/s), and a is the acceleration (0.4 cm/s²). Therefore, t = 10 cm/s - 0.5 mm/s / 0.4 cm/s² = 20 s.
5 example proximodistal patterns development
1. The proximodistal pattern of development in the development of motor skills in infants involves the development of control and coordination of the head, neck, and trunk before control and coordination of the limbs. For example, an infant may first learn to lift their head and control its movements before learning to reach for and grasp objects with their hands.
2. The proximodistal pattern of development can also be seen in the development of language skills in children. Children typically learn to produce single words before they learn to put words together in simple phrases and sentences.
3. In the development of cognitive skills, the proximodistal pattern involves the development of more basic skills, such as perception and attention, before more complex skills, such as memory and problem-solving. For example, a child may first learn to identify basic shapes and colors before learning to solve more complex puzzles and games.
4. The proximodistal pattern of development can also be observed in the development of social and emotional skills in children. Children may first learn to express basic emotions, such as happiness and anger, before learning to recognize and understand the emotions of others.
5. In the development of sensory and perceptual abilities, the proximodistal pattern involves the development of more basic abilities, such as visual acuity and auditory sensitivity, before more complex abilities, such as spatial awareness and depth perception. For example, a child may first learn to focus their eyes on objects close to them before being able to see objects in the distance.
The velocity v of a particle at a time tis given by;
v=at+ b/(t +c)
Determine the dimensions of a, b and c.
Answer:
Here in the question the dimensions of a ,b and c can be calculated by using the principal of homogeneity
which is a reason to use digital signals instead of analog signals to transmit information?
B. Noise decreases the loudness of analog signals but does not affect the loudness of digital signals.
Noise is any extraneous interference that can affect the quality of a signal being transmitted.
Noise can cause analog signals to become weaker or distorted, which can reduce the loudness of the signal and make it more difficult to interpret. In contrast, noise does not affect the loudness of digital signals in the same way.
Digital signals are transmitted using a series of ones and zeros, which can be easily distinguished from noise. This means that digital signals are less susceptible to the effects of noise, and are generally considered to be more reliable than analog signals for this reason.
Other reasons to use digital signals instead of analog signals include the fact that digital signals are easier to store and transmit over long distances, and that they can be more easily processed by computers.
[tex]\bold{ \: \purple{Hope \: This \: Helps \: You!}}[/tex]
B. Noise decreases the loudness of analog signals but does not affect the loudness of digital signals.
Noise is any extraneous interference that can affect the quality of a signal being transmitted. Noise can cause analog signals to become weaker or distorted, which can reduce the loudness of the signal and make it more difficult to interpret. In contrast, noise does not affect the loudness of digital signals in the same way.
Digital signals are transmitted using a series of ones and zeros, which can be easily distinguished from noise. This means that digital signals are less susceptible to the effects of noise, and are generally considered to be more reliable than analog signals for this reason.
Other reasons to use digital signals instead of analog signals include the fact that digital signals are easier to store and transmit over long distances, and that they can be more easily processed by computers.
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Find the magnitude of the sum of these two vectors.
Answer:
sol:
tanβ=[tex]\frac{101*sin(60)}{85+101*cos(60)}[/tex]
β=[tex]tan^{-1}[/tex](0.64552)
β=32.84
therefore, the direction is 32.84
The times in this problem are given using metric prefixes on the base SI unit of time: the second (s). Give the times without the metric prefixes. For example, the metric prefix T (tera) stands for 1012, so 47 Ts would be written as 4.7×1013s.
a) 966 Ps
b) 966 fs
c) 48 ns
d) 640 μs
( a ) 966 Ps is expressed in SI unit as 9.66 x 10⁻¹⁰ s
( b ) 966 fs is expressed in SI unit as 9.66 x 10⁻¹³ s
( c ) 48 ns is expressed in SI unit as 4.8 x 10⁻⁸ s
( d ) 640 μsis expressed in SI unit as 6.4 x 10⁻⁴ s
What is the expression of the SI unit in standard form?
A standard way of expressing a derived quantity or fundamental quantity in terms of the SI unit is always in power of 10.
The standard form of the given quantity is calculated as follows;
( a ) 966 Ps = 966 x 10⁻¹² s = 9.66 x 10⁻¹⁰ s
( b ) 966 fs = 966 x 10⁻¹⁵ s = 9.66 x 10⁻¹³ s
( c ) 48 ns = 48 x 10⁻⁹ s = 4.8 x 10⁻⁸ s
( d) 640 μs = 640 x 10⁻⁶ s = 6.4 x 10⁻⁴ s
Thus, the standard form of a quantity in SI unit involves the power of 10.
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A magazine rack has a center of gravity 16 cm above the floor, as shown in the figure below (Figure 1). Through what maximum angle, in degrees, can the rack be tilted without falling over?
The magazine rack can turn through 73 degrees without falling over
What is the angle?We know that we can be able to obtain the angle that has been turned when we obtain the tangent of the angle that is made by the direction of the ball.
Now we know that we can be able to get the ange that has been turned when we apply the idrea of a righta ngled triangle. In which case, we would have the following;
Angle turned = tan-1 (16/5)
= 73 degrees
Thus, the angle that is turned is 73 degrees.
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what happens to a vector when it is multiplied by a negative number that is not equal to negative one?
A. only the magnitude changes
B. The vector does not change
C. Both magnitude and direction change
D. Only the direction changes
The thing that happens to a vector when it is multiplied by a negative number that is not equal to negative one is A. only the magnitude changes
What happens if you multiply a vector by a negative number?except that the vector's arrow will point in the other direction when multiplied by a negative integer. A vector, for instance, will become half as long in the same direction when multiplied by 1/2, whereas it will become twice as long but directed when multiplied by 2.
A vector's direction is reversed but the magnitude is left unchanged when multiplied by a negative one. The direction and magnitude of the vector are reversed when multiplied by any other negative quantity.
Therefore, option A is correct.
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A 1.2 kg object hanging from a spring of force constant 300 N/m oscillates with a maximum speed of 30 cm/s. (a) What is its maximum displacement? When the object is at its maximum displacement, find (b) the total energy of the system, and (c) the gravitational potential energy. (Choose potential energy as zero when the object is in equilibrium).
The maximum displacement = 0.0189 m
The Total energy of the system = 1.188 J
The Gravitational potential energy = 0.22 J
Let m be = Mass of the object = 1.2 kg
As given K = Spring Constant of the spring = 300 N/m
Let v denote = Maximum speed with which the body oscillates = 30 cm/s
Let 'x' be the maximum displacement of the body
x²= mv²/k=1.2* 0.3 /300= 0.0189
Total energy= kinteric energy+potential energy =kx²/2 + mv²/2
=1.188J
The Gravitational potential energy of the system is
E=Mgx=1.2*9.8*0.0189
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The 1.2 kg object's maximum displacement when it is suspended from a spring with a 300 N/m force constant oscillates at a maximum speed of 30 cm/s. This displacement is equal to 0.0189 m.
How to calculate displacement and energy?When the object is displaced to its maximum, the system's total energy is 1.188 J.
The energy of gravity is equal to 0.22 J.
Allow m to be equal to 1.2 kg, the object's mass.
K = Spring as stated. Springs have a constant of 300 N/m.
the body can oscillate at a maximum speed of 30 cm/s (let v signify this).
Suppose that "x" represents the body's largest displacement.
x²= mv²/k=1.2* 0.3 /300= 0.0189
Total energy = interstellar energy + potential energy = kx2/2 + mv2/2
=1.188J
According to the system's gravitational potential energy,
E=Mgx=1.2*9.8*0.0189
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Anne exerts a force of 34.1 N to pitch a softball. She moves the ball 1.8 meters before releasing it. What amount of work did Anne do on the ball?
Formula for work:
[tex]w=Fd[/tex]
work(measured in joules) = force(measured in newtons) * distance(measured in meters)
__________________________________________________________
Given:
[tex]F=34.1N[/tex]
[tex]d=1.8m[/tex]
[tex]w=?[/tex]
__________________________________________________________
Finding work:
[tex]w=Fd[/tex]
[tex]w=34.1\times1.8[/tex]
__________________________________________________________
Answer:
[tex]\fbox{w = 61.38 Joules}[/tex]
Which statement correctly compares sound and light waves?Both light and sound waves need matter to carry energy from one place to another.Neither light nor sound waves need matter to carry energy from one place to another.Light waves carry energy parallel to the motion of the wave, while sound waves carry energy perpendicular to it.Sound waves carry energy parallel to the motion of the wave, while light waves carry energy perpendicular to it.
Sound waves carry energy parallel to the motion of the wave, while light waves carry energy perpendicular to it.
What is energy parallel?Energy parallel is a type of energy efficiency strategy that seeks to reduce the amount of energy used in a building or facility by utilizing multiple energy sources instead of relying solely on one. This type of energy efficiency strategy works by drawing energy from multiple sources, such as solar, geothermal, wind, and water energy, and combining them to power a single building or facility. By utilizing multiple energy sources, energy parallel helps to reduce the overall amount of energy used in a building or facility, thus improving its overall energy efficiency. Additionally, this type of energy efficiency strategy helps to reduce the amount of energy that is wasted or lost by utilizing energy sources that are renewable and more sustainable.
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If you have no weight in outer space (ie. far from any planet or star or any other massive object) what is the acceleration due to gravity that you would experience?
If you have no weight, then the acceleration due to gravity is zero.
What is the acceleration due to gravity?We know that the acceleration due to gravity of the object would have to be the acceleration that would be granted to a body because it is within the sphere of the gravitational pull of the earth.
We must know that the weight of the object is the product of the mass and the acceleration due to gravity. If the object is weightless, the implication of that is that the acceleration due to gravity is zero at that point.
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What is the gravitational force on a 987 kg satellite orbiting
5.1 × 10⁴ m above the surface of Earth? Assume the mass of Earth is
5.97 × 10²⁴ kg.
Answer:
The gravitational force on the satellite can be calculated using the formula:
F = G * ((m1 * m2) / r^2)
Where:
F is the gravitational force
G is the gravitational constant (6.67 × 10^-11 N*m^2/kg^2)
m1 is the mass of the first object (in this case, the satellite)
m2 is the mass of the second object (in this case, Earth)
r is the distance between the two objects
Plugging in the given values, we have:
F = (6.67 × 10^-11 N*m^2/kg^2) * ((987 kg * 5.97 × 10²⁴ kg) / (5.1 × 10⁴ m)^2)
= 9.06 × 10^-6 N
Therefore, the gravitational force on the satellite is approximately 0.00000906 N.
Explanation:
Question
A graph of v(t) is shown for a world-class track sprinter in a 100-m race. (See Figure 2.67).
(a) What is his average velocity for the first 4 s?
(b) What is his instantaneous velocity at t=5 s?
(c) What is his average acceleration between 0 and 4 s?
(d) What is his time for the race?
(a) The average velocity of the sprinter for the first 4 seconds is 12 m/s.
(b) The instantaneous velocity of the sprinter at time, t = 5 s is 12 m/s.
(c) The average acceleration of the sprinter between 0 and 4 s is 3 m/s².
(d) The time of race of the sprinter is 12 s.
What is the average velocity for the first 4 s?
The average velocity of the sprinter is the change in the total displacement of the sprinter with total time of motion.
From the given graph, the average velocity of the sprinter for the first 4 seconds is 12 m/s.
The instantaneous velocity of the sprinter at time, t = 5 s from the graph corresponds to 12 m/s, since the velocity of the sprinter from 4 s to 12 seconds is constant.
The average acceleration of the sprinter between 0 and 4 s is calculated as follows;
a = ( 12 m/s - 0 m/s ) / ( 4 s - 0 s )
a = 3 m/s²
The total time of race of the sprinter according to the graph is 12 seconds.
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A ladder, length L, with mass M, leans against a frictionless wall at an angle of θ=70° as shown.
1) If the ladder is in static equilibrium,
The net force is zero but the net torque is not.
The net torque is zero but the net force is not.
The net force and net torque are both zero.
Neither net force nor net torque is zero.
2) Which of these free body diagrams best represents the forces on the ladder?
3) At which of the following locations can we put the rotation axis we use when calculating torques?
Only at the center of the ladder.
Only at the bottom left end of the ladder.
Only at the top right end of the ladder.
We can choose any of these locations for the rotation axis.
4) For the rest of these problems, we're using the top right end of the ladder as our pivot point. What is the magnitude of the torque from the force of gravity, around this point?
L* M g* sin (θ)
L* M g* cos (θ)
(L/ 2)* Mg g* sin (θ)
(L/ 2)* M g* cos (θ)
a cannonball is shot horizontally off a 10.5m high castle wall at 47.4 m/s. How far from the base of the wall does the cannonball land? (Unit=m)
The cannonball lands 68.73 meters from the base of the wall.
The time it takes for the cannonball to fall from the castle wall to the ground is given by:
t = sqrt(2h/g)
= sqrt(210.5/10)
= sqrt(2.1)
= 1.45 seconds
The distance the cannonball travels horizontally in this time is given by:
d = vt
= 47.4 * 1.45
= 68.73 m
The total distance from the base of the wall is therefore 68.73 m.
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(Figure 1) shows Sue along the straight-line path between her home and the cinema, where d=3.2 mi. Assume the positive direction is to the right.
Part A
If Sue walks home, what is her displacement if her home is the origin?
Express your answer in miles.
Part B
If Sue walks home, what is her displacement it the cinema is the origin? Assume the positive direction is to the right. Express your answer in miles.
(a) If Sue walks home, her displacement if her home is the origin is -2 mi.
(b) If Sue walks home, her displacement if the cinema is the origin is -5.2 mi.
What is the displacement of an object?The displacement of an object is the change in the position of an object.
Mathematically, the formula for the displacement of an object is given as;
Δx = xf - xi
where;
xf is the final position of the objectxi is the initial position of the objectIf Sue walks home, her displacement if her home is the origin is calculated as;
Δx = xf - xi
Δx = 0 mi - 2 mi
Δx = - 2mi
If Sue walks home, her displacement if the cinema is the origin is calculated as;
Δx = xf - xi
Δx = 0 mi - (2 mi + 3.2 mi )
Δx = 0 mi - 5.2 mi
Δx = -5.2 mi
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the orientation of an mrna codon relative to a trna anticodon is best described as: a. antiparallel. b. parallel. c. perpendicular. d. non-complementary.
The orientation of an mRNA codon corresponding to a tRNA anticodon is best described as A: antiparallel.
An anticodon is a three-base sequence, paired with a particular amino acid, that a tRNA molecule brings to the associated codon of the mRNA during translation. The anticodon sequence is said to be complementary to the mRNA, using base pairs in the anti-parallel direction. The tRNA anticodon 3-UAC-5 will make pair with the mRNA codon.
Thus, the orientation of an mRNA codon relative to a tRNA anticodon is said to be antiparallel.
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If you double the diameter of a cylindrical wire, you double its conductivity but reduce its resistivity by one half.
Please Explain.
Answer:
Resistivity and conductivity are reciprocal quantities.
Doubling one will cause the other to be reduced to one half.
our solar system______Spur, of the_______arm of the milky way galaxy
Answer: At least 100 billion stars, including our Sun, make up the Milky Way, a spiral galaxy with a diameter of around 100,000 light-years. In the Milky Way, where are we located? The Orion Arm, also known as the Orion Spur, is a short, incomplete arm between the Sagittarius and Perseus arms that is close to where our Sun is positioned.
Explanation:
in a certain town ,50% of the households own a celullar phone,40% own a pager, and 20% own both a cellular phone and a pager. what is the probability that a randomly chosen household own either a cellular phone or a pager?
Answer:
0.18
Explanation:
20/110=0.18
What is the frequency if you have a period of 5.1 seconds
Answer:
0.20 Hz
Explanation:
Period formula:
T = 1 / f
rearrange to solve for T (which is period)
F = 1/T
= 1/5.1
= 0.20 Hz
If you want 3 sig figures it would go up to 0.196, but I just rounded to two to get 0.20.
Consider an A-L circuit with a DC voltage source, as shown in the figure (Eireure-1)
This circuit has a current I₀ when t<0. At t-0 the switch is thrown removing the DC voltage source from the circuit. The current decays to I(t) at time t.
What is the power, PR(t), flowing into the resistor, R, at time t ?
Express your answer in terms of I(t) and R.
Part B
What is the power flowing into the inductor?
Express your answer as a function of R and I(t).
Find out your answer below:
The power, the resistor and time is I²₀R e-2Rt/L and - I₀²R e-2Rt/L .
Work rate or energy delivery time is expressed as W/t, where W is the quantity of work completed or energy delivered, and t is the time interval.
A passive electrical device with two terminals that controls or limits the flow of electricity across electrical circuits. The main function of a resistor is to lower the voltage and reduce the current flow in a specific area of the circuit.
a) L di/dt + iR = 0 -Rt/L
= I = I₀ e
At t=0. I = I₀
= Pr = I²R = I₀ R e = -2Rt/t
= Pr (t) = I²₀R e-2Rt/L
b) Energy of inductor = 1/2 L I²
= 1/2 L I₀² e-2Rt/L
Power, Pl (t) = dE/dt
= d/dt (1/2 LI₀² e-2Rt/L)
= 1/2 t I₀² ( e-2Rt/L) e-2Rt/L
Pl (t) = - I₀²R e-2Rt/L
Therefore, the power, the resistor and time is I²₀R e-2Rt/L and - I₀²R e-2Rt/L .
I hoped this helped you!
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Charge q2 in the figure(Figure 1) is in static equilibrium. Assume that q = 4.4 nC .
What is q1?
Express your answer to two significant figures and include the appropriate units.
The magnitude of charge q₁ is equal to magnitude of charge q₂.
What is the magnitude of charge q₁?
The magnitude of charge q₁ is calculated by applying Coulomb's law of electrostatic force as shown below.
The electric force between q₁ and q is calculated as follows;
F₁ = kq₁q / r²
where;
k is Coulomb's constantr is the distance between q and q₁F₁ = ( 9 x 10⁹ x 4.4 x 10⁻⁹ x q₁) / (0.1)²
F₁ = 3960q₁
The electric force between q₂ and q is calculated as follows;
F₂ = kq₂q / r²
F₂ = ( 9 x 10⁹ x 4.4 x 10⁻⁹ x q₂) / (0.1)²
F₂ = 3960q₂
Since the charge q₂ is in static equilibrium with q and q₁, then
F₁ + F₂ = 0
3960q₁ = - 3960q₂
q₁ = -q₂
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An atom of an element can change into an atom of another element if it is:
A. extremely stable
B. radioactive and it's nucleus can trap or emit particles
C. an ion and it's atomic number is larger than it's mass number
D. an isotope and it has more electrons than neutrons
Answer:
B. radioactive and it's nucleus can trap or emit particles
Explanation:
Each element is unique because of the number of protons it possesses. All the atoms of one particular element will have same amount of protons. Thus, if I want to change an atom of an element into atom of another element, i must have a way to mess with the proton count and such. These are seen in radioactive process like fusion, fission, nuclear decay etc.
Metal panels that are designed to act as stressed-skin panels are attached directly to the structural frame of the building with
a. bags
b. straps
c. clips
d, mats
Metal panels that are designed to act as stressed-skin panels are typically attached directly to the structural frame of the building using straps, clips, or mats.
Straps are typically used to connect the panel to a supporting member, while clips are used to secure the panel to a non-supporting member. Mats are used to provide additional support for the panel and to distribute the load evenly across the panel.
This is beneficial for the structural integrity of the building since it ensures that the panel will not be subjected to too much stress in one specific area. Additionally, it allows for better load distribution, which can help to reduce the overall weight of the building, as well as reduce stress on the individual panels.
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A runner begins a race from rest and reaches a final speed of 22mph. It takes 3.45s. If the runner's mass is 76.4 kg and 1 mile = 1,609.34m. A) What is the runner's acceleration?
B) What is the magnitude of the downward force acting on the runner?
Acceleration:
a = (22 mph - 0 mph) / (3.45s) = 6.37 mph/s
Magnitude of the Downward Force:
F = m*a = 76.4 kg * 6.37 mph/s = 484.53 N
7. A pendulum consists of a ball of mass m suspended at the end of a massless cord of length L as shown. The pendulum is drawn aside through an angle of 60° with the vertical and released. At the low point of its swing, the speed of the pendulum ball is
(A) gL
(B) 2gL
(C) 1/2gL
(D) gL
The speed of the pendulum ball is determined as √ (gL).
option A is the correct answer.
What is the speed of the pendulum ball?
The speed of the pendulum ball is calculated by applying the law of conservation of energy as shown below.
Potential energy of the ball at top = Kinetic energy of the ball at bottom
U = K.E
mgh = ¹/₂mv²
v = √ ( 2gh)
where;
g is acceleration due to gravityh is the change in height of the pendulum ballThe change in height of the pendulum ball is given as;
h = L - Lcosθ
where;
θ is the angle of inclination of the pendulumh = L - Lcos(60)
h = L - ¹/₂L
h = ¹/₂L
The speed of the pendulum ball is calculated as;
v = √ (2g x ¹/₂L)
v = √ (gL)
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no need for an explanation, i need answers
The angular momentum of the particle in the x-component, y-component, and z-component are 3.12, 2.84, and 1.19 kg.m/s² respectively.
What is angular momentum?Angular momentum can be defined as the rotational form of linear momentum. Angular momentum is a physical conserved quantity.
The angular momentum in the terms of linear momentum can be represented as:
[tex]\displaystyle \vec L= \vec r\times \vec p = m\vec r \times \vec v[/tex]
Given, the mass of the particle, m = 70 Kg
The displacement of the vector of the particle, [tex]\vec r = (5.0, -5.5)[/tex]
The velocity of the vector of the particle, [tex]\vec u = (3.2, 0, -8.1)[/tex]
The angular momentum of the particle, L can be calculated as:
[tex]\displaystyle \vec L= m\vec r \times \vec u[/tex]
[tex]\displaystyle \vec L= m(5.0,-5.5, 0)\times (3.1,0,-8.1)[/tex]
[tex]\displaystyle \vec L= 0.070 \times (44.55, 40.5, 17.05) .Kg.m/s^2[/tex]
[tex]\displaystyle \vec L= (3.12, 2.84, 1.19) \; kg.m/s^2[/tex]
Therefore, the x-component of angular momentum = 3.12 kg.m/s²
The y-component of angular momentum = 2.84 kg.m/s²
The z-component of angular momentum = 1.19 kg.m/s²
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Which of the following energy sources are in some way derived from the Sun?
Answer:
Wave Energy and Biomass Energy sources.
Explanation:
The main sources of energy available on earth are Coal, Geothermal, Nuclear, Petroleum, Hydro, Biomass, and Wave, from which nuclear and geothermal are resultant of radioactive materials whereas Coal and Petroleum are resultant of Fossil Fuels.
Biomass energy is produced by living organisms, for example, corn is used as biomass material, which stores energy through photosynthesis, and the photosynthesis process is only possible with Sun.
Wave energy is resultant of the sun's uneven heating of the ocean which makes tides and then the motion of the waves utilize to harness the energy.
