The correct option is
C. It supported the idea that the continents used to be connected and then drifted.
The disclosure of tropical plant fossils in Antarctica was noteworthy since it gave proof for the hypothesis of a mainland float, which recommends that the landmasses were once associated with a supercontinent called Pangaea and have since moved to their current positions.
The nearness of tropical plant fossils in Antarctica proposes that the landmass was once found in a hotter climate closer to the equator, and has since floated to its current area close to the South Shaft.
This revelation backed the thought of plate tectonics and mainland float, which has gotten to be broadly acknowledged within the logical community. In this manner, choice C is the right reply.
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A flat uniform circular disk (radius = 5.44 m, mass = 150 kg) is initially stationary. The disk is free to rotate in the horizontal plane about a frictionless axis perpendicular to the center of the disk. A 47.0-kg person, standing 1.54 m from the axis, begins to run on the disk in a circular path and has a tangential speed of 2.80 m/s relative to the ground. Find the resulting angular speed (in rad/s) of the disk.
According to the question, the resulting angular speed (in rad/s) of the disk is 0.38 rad/s.
What is angular speed?Angular speed is the rate at which an object or particle rotates or revolves around a point or an axis. It is measured in radians per second or revolutions per minute. Angular speed is an important concept in mechanics, astrophysics, and engineering.
In this case, the angular momentum of the person is 47.0 kg×2.80 m/s×1.54 m = 186 kg m²/s.
Therefore, the change in angular momentum of the disk is equal to the angular momentum of the person, which is 186 kg m²/s.
Using the conservation of angular momentum equation, we can find the angular speed of the disk by rearranging the equation to get ω = (ΔL)/I.Therefore, the angular speed of the disk is ω = 186 kg m²/s/486 kg m² = 0.38 rad/s.
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In what ways does ecotourism help living things in ecosystems?
Ecotourism has the potential to eliminate the requirement to hunt wildlife for a living. Ecotourism generates revenue by maintaining the rainforest; deforestation is discouraged because it reduces tourist revenue.
What role does ecotourism play in biodiversity conservation?Ecotourism firms safeguard biodiversity by preserving animals in their natural habitats and preserving natural ecosystems in biosphere reserves, wildlife sanctuaries, and national parks.
Can tourism save the environment?Ecotourism contributes to the preservation of a destination's ecological and biological diversity. For example, since Costa Rica's jungle is so popular with visitors, inhabitants work hard to protect it instead of attempting deforest it for a short-term profit.
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What new question occurred to scientists after they discovered that the
ocean floor was not flat?
O A. Are there bathtubs that have shapes similar to that of the Mid-
Atlantic Ridge?
OB. Why is the ocean floor not flat and smooth like the bottom of a
bathtub?
C. How much cable will it take to go from North America to England?
OD. How deep is the ocean?
Answer:
b
Explanation:
The answer is B. Why is the ocean floor not flat and smooth like the bottom of a bathtub?
Scientists were surprised to find that the ocean floor was not a flat and featureless plain, but rather had mountains, valleys, and other geological features. This discovery raised questions about how these features formed and what processes were involved. Scientists began to investigate the causes of these features, such as plate tectonics and volcanic activity, and how they might have shaped the ocean floor over millions of years. Understanding the complex and dynamic nature of the ocean floor has since become an important area of study in earth science and oceanography.
Katie, a 60 kg person, stands at the edge of a well and holds a rope attached to an 8 kg bucket of water resting in the water below. With her first tug up on the rope, the bucket speeds up to 3 m/s while it rises 0.9 m. What is the bucket’s acceleration? How quickly is Katie accelerating? How hard is Katie pulling on the bucket? What is the normal force on Katie?
To solve this problem, we can use the following equations:
F_net = ma (Newton's second law)
F_tension - F_gravity - F_buoyancy = ma (sum of forces on the bucket)
F_gravity - F_tension - F_normal = 0 (sum of forces on Katie)
where:
F_tension is the tension in the ropeF_gravity is the weight of the bucket and KatieF_buoyancy is the buoyant force on the bucketF_normal is the normal force on Katiea is the acceleration of the bucketFirst, we can find the tension in the rope:
F_net = ma
F_tension - F_gravity - F_buoyancy = ma
F_tension = ma + F_gravity + F_buoyancy
The weight of the bucket is:
F_gravity_bucket = m_bucket * g = 8 kg * 9.8 m/s^2 = 78.4 N
The weight of Katie is:
F_gravity_Katie = m_Katie * g = 60 kg * 9.8 m/s^2 = 588 N
The buoyant force on the bucket is equal to the weight of the water displaced by the bucket, which is:
F_buoyancy = m_water * g = m_bucket * g = 78.4 N
Substituting these values, we get:
F_tension = (m_bucket + m_Katie) * a + F_gravity_bucket + F_gravity_Katie + F_buoyancyF_tension = (8 kg + 60 kg) * a + 78.4 N + 588 N + 78.4 NF_tension = 68 a + 744.8 NNext, we can find the acceleration of the bucket:
We can use the kinematic equation:
v^2 = u^2 + 2as
where:
v is the final velocity (3 m/s)u is the initial velocity (0 m/s)s is the displacement (0.9 m)Solving for a, we get:
a = (v^2 - u^2) / 2sa = (3 m/s)^2 / (2 * 0.9 m)a = 5 m/s^2Therefore, the acceleration of the bucket is 5 m/s^2.
Next, we can find the tension in the rope:
F_tension = 68 a + 744.8 NF_tension = 68 * 5 m/s^2 + 744.8 NF_tension = 1075.6 NTherefore, Katie is pulling on the rope with a force of 1075.6 N.
Finally, we can find the normal force on Katie:
F_gravity_Katie - F_tension - F_normal = 0
F_normal = F_gravity_Katie - F_tension
F_normal = 588 N - 1075.6 N
F_normal = -487.6 N
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Increasing the number of loops in a solenoid will cause the strength of its magnetic field to
As long as the current is steady, a solenoid's magnetic field will become stronger as the number of loops increases.
Was the electromagnet made stronger or weaker by adding more loops?An electromagnet's strength can be increased by increasing the current or voltage as well as the quantity of wire loops encircling the iron core.
What number of loops will result in the strongest magnetic field?It follows that increasing the number of turns or the current flow (by raising the voltage because I = V/R) will produce a stronger magnetic field for a given coil length. Therefore, a coil with N of 1000 turns would generate a stronger magnetic field than one with N of only 100 turns.
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How does the ecotourism industry act as an ecosystem service that benefits tourists, the people that live in the area, and the people that work in the industry?
The ecotourism industry can act as an ecosystem service that benefits tourists, local communities, the environment, and the tourism industry itself by promoting sustainable and responsible tourism practices
What is ecotourism?Benefits for tourists: Ecotourism provides a unique experience for tourists by allowing them to explore and appreciate natural environments while supporting sustainable tourism practices. Ecotourism activities also offer educational opportunities for tourists to learn about the local environment and culture.
Benefits for local communities: Ecotourism can provide economic benefits to local communities by creating jobs in the tourism industry and supporting local businesses. It can also encourage the preservation of natural resources and cultural heritage.
Benefits for the environment: Ecotourism can promote the conservation of natural resources and ecosystems by raising awareness and encouraging sustainable tourism practices. It can also support research and monitoring efforts to improve understanding of the environment and its conservation needs.
Benefits for the tourism industry: Ecotourism can create new market opportunities for the tourism industry by offering unique and sustainable travel experiences. It can also improve the industry's reputation and competitiveness by promoting responsible and sustainable tourism practices.
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when a pure water is heated , it increases in volume
As water freezes below 4°C, the volume of the liquid shrinks and water molecule motion slows. When the temperature rises over 4 °C, the water molecules spread out and take up more space, increasing the volume.
How does cooling water from 4 C to 0 C affect its volume?Due to the peculiar property of water known as "Anomalous Expansion of Water," when 1 liter of water is cooled from 4°C to 0°C, the volume of the water starts to grow. Between 4°C and 0°C, water expands abnormally.
What happens to water's specific volume when it is heated from 0 degrees Celsius?Water volume reduces as it is heated from 0°C to 4°C because the water's density will be maximum
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If the fundamental frequency of this harmonic is 7 Hz, at which frequency is this created? (Just type the number, not the units) pic attached below
If the fundamental frequency of the harmonic is 7 Hz, the frequency at which it is created depends on the harmonic being referred to.
How do we explain?Frequency of harmonics
If the fundamental frequency of a harmonic is 7 Hz, then the frequency at which the harmonic is created depends on the harmonic series being used.
The frequency of the nth harmonic in a harmonic series is equal to n times the fundamental frequency. Therefore, the first five harmonics of a harmonic series with a fundamental frequency of 7 Hz would be:
First harmonic (fundamental): 7 Hz
Second harmonic: 2 x 7 Hz = 14 Hz
Third harmonic: 3 x 7 Hz = 21 Hz
Fourth harmonic: 4 x 7 Hz = 28 Hz
Fifth harmonic: 5 x 7 Hz = 35 Hz
So, the frequency at which the harmonic with a fundamental frequency of 7 Hz is created depends on which harmonic is being referred to.
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Ammeters that are all placed in series should have _____ reading anywhere in the circuit.
A. A different
B. Random
C. The same
D. Various
Ammeters that are all placed in series should have _The same____ reading anywhere in the circuit. The correct option is C
What is ammeter ?An ammeter is an instrument used to measure the electric current in a circuit. It is connected in series with the circuit element or the part of the circuit in which the current is to be measured.
The ammeter is designed to have a low resistance, so that it does not significantly affect the current being measured. The current passing through the ammeter creates a magnetic field, which deflects a pointer on a scale or produces a digital readout.
Therefore, Ammeters are commonly used in both AC and DC circuits to measure current flow.
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A 9 ohm resistor and a 16 ohm resistor are connected in series in a circuit with a 5.0 volt battery. Assuming negligible internal resistance in the battery, calculate the current in the 16 ohm resistor.
The current through the 16 ohms resistor is 0.2 A.
What is current?Current is the rate of flow of charge in a circuit.
To calculate the current through the 16 ohm resistor, we use the formula below
Formula:
I = V/Rt.................... Equation 1Where:
I = Current through the 16 ohms resistorV = Voltage of the batteryRt = Total resistance of the circuitFrom the question,
Given:
V = 5 VRt = 9+16 (In series) = 25 ohmSubstitute these values into equation 1
I = 5/25I = 1/5I = 0.2 AHence the current is 0.2 A.
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4. Define the terms; I. Frequency II. Wavelength III. Velocity as applied to a periodic wave motion. State the relationship between them. b) Two turning forks have frequencies of 200Hz and 300Hz. Calculate the difference in the wavelengths of the notes they emit. [Speed of sound in air = 330ms-¹]
Answer:
Wavelength : It is defined as the distance travelled by a wave during the time a particle of the medium completes one vibration. It is denoted by k. Its SI unit is metre. Frequency: It is the number of occurrences of a repeating event per unit of time. Its SI unit is Hertz (Hz).
Explanation:
When does a force do maximum work
Answer:
when the angle between the displacement and direction of force is zero
Answer:
Only when the force is applied in the same direction as the displacement of the object on which it acts, it does maximum work. This is because the work done by a force is given by the dot product of the force and displacement vectors. The dot product of two vectors is maximum when they are parallel to each other. Therefore, when a force is applied in the direction of displacement, it does maximum work.
When a force is applied perpendicular to the displacement, it does no work at all. This is because the dot product of two perpendicular vectors is zero. When a force is applied at an angle to the displacement, it does some work but not maximum.
It's important to note that the amount of work done by a force also depends on its magnitude and the distance over which it acts. The greater the magnitude of the force and the longer the distance over which it acts, the more work it will do.
In summary, a force does maximum work only when it is applied in the same direction as the displacement of the object on which it acts.
The 4.00 kg block is attached to a vertical rod by means of two strings. When the system rotates about the axis of the rod, the strings are extended as shown in the (Figure 1) and the tension in the upper string is 78.0 N. Find the number of revolutions per minute at which the lower cord just goes slack.?
The number of revolutions per minute at which the lower cord just goes slack is approximately 38.2 rpm.
To solve this problem, we need to use the concept of centripetal force and tension in the strings. When the lower string just goes slack, the tension in the string is zero and the centripetal force required for circular motion is provided only by the weight of the block.
We can start by calculating the weight of the block using the formula:
[tex]F_g[/tex] = m * g
Where [tex]F_g[/tex] is the weight, m is the mass, and g is the acceleration due to gravity. Substituting the given values, we get:
[tex]F_g[/tex] = (4.00 kg) * (9.81 m/s²) = 39.24 N
Since the tension in the upper string is 78.0 N, the net force acting on the block is:
[tex]F_{net}[/tex] = T - [tex]F_g[/tex] = 78.0 N - 39.24 N = 38.76 N
This net force provides the centripetal force required for circular motion, given by the formula:
[tex]F_{cp}[/tex] = m * v² / r
Where [tex]F_{cp}[/tex] is the centripetal force, m is the mass, v is the velocity, and r is the radius of rotation. Since we are asked to find the number of revolutions per minute, we can convert this to radians per second using the conversion factor:
1 revolution = 2π radians
1 minute = 60 seconds
Substituting the given values, we get:
Fcp = (4.00 kg) * v² / r
38.76 N = (4.00 kg) * v² / r
Solving for v²/r, we get:
v² / r = 38.76 N / 4.00 kg
v² / r = 9.69 m/s²
Next, we can use the fact that the length of the upper string is twice the length of the lower string to find the radius of rotation:
2l + l = 3l = r
Where l is the length of the lower string. Substituting the given values, we get:
3l = r = 0.600 m
Finally, we can substitute this value into the equation for v²/r to get:
v² / (0.600 m) = 9.69 m/s²
v² = 5.814 m²/s²
v = 2.41 m/s
To convert this to radians per second, we multiply by 2π and divide by the circumference of the circle:
ω = 2πv / (2πr) = v / r = 2.41 m/s / 0.600 m = 4.02 rad/s
To find the number of revolutions per minute, we can multiply this by the conversion factor:
1 radian per second = 60 / 2π revolutions per minute
N = (4.02 rad/s) * (60 / 2π) = 38.2 rpm
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What three factors account for challenges in the Civil Rights Movement after 1965?
lack of strong leadership
opposition to reforms in Congress
differences of opinion within rights movements
opposition from a majority of the Supreme Court
lack of public support for school desegregation policies
Answer:
differences of opinion within rights movements
opposition to reforms in Congress
lack of public support for school desegregation policies
hope this helps :) !!!
Answer:
Answer: answer A, B and C are correct
Explanation:
Answer: answer A, B and C are correct
The learner added some iodine solution to the water in the test tube. After 30 minutes at room temperature, the contents of the visking tubing bag were stained black, but the water in the test tube remained a yellow color.( I) explain this results
A circular coil 14.0 cm in diameter and containing nine loops lies flat on the ground. The Earth's magnetic field at this location has magnitude 5.50×10−5T and points into the Earth at an angle of 58.0 below a line pointing due north. A 6.90-A clockwise current passes through the coil.
The Earth's magnetic field at the location has a magnitude of 5.50×10^−5 T and points into the Earth at an angle of 58.0 degrees below a line pointing due north.
What is Magnetic Field?
A magnetic field is a region of space surrounding a magnet or a current-carrying conductor in which magnetic forces are exerted on other magnetic objects or moving charged particles. Magnetic fields are characterized by their direction, magnitude, and polarity. The direction of a magnetic field is defined as the direction in which a magnetic north pole would be pulled or aligned, and is conventionally represented by magnetic field lines that form closed loops.
Based on the information provided, it seems like you have described a situation where a circular coil with a diameter of 14.0 cm and containing nine loops is lying flat on the ground.
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A circular coil 14.0 cm in diameter and containing nine loops lies flat on the ground. The Earth's magnetic field at this location has magnitude 5.00×10−5T and points into the Earth at an angle of 58.0 ∘ below a line pointing due north. A 6.90-A clockwise current passes through the coil. Determine the torque on the coil, and which edge of the coil rises up: north, east, south, or west?
33) If a speeding motorcycle is moving, it must also
have
a) potential energy.
b) kinetic energy.
c) chemical energy.
d) all of the above
The map above shows the boundary between the North American plate and the Pacific plate. The relative motion of the plates along this boundary varies depending on location. The red arrow on each plate shows which direction the plate is moving relative to the other plate in this specific location.
Which kind of tectonic plate boundary exists in this specific location?
A. divergent boundary
B. transform boundary
C. convergent boundary
D. continental rift
Answer: A. Divergent boundary
Explanation:
I really think its D if not i'm really sorry
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50 POINTS!
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PART C!!
Find the maximum magnitude of the acceleration.
Express your answer using two significant figures.
1. The period of the mass is 0.47 second
2. The amplitude is 0.02 m
1. How do i determine the period?The period of the mass can be obtained as illustrated below:
Mass attached (m) = 0.95 KgSpring constant of spring (K) = 170 N/mPi (π) = 3.14Period (T) =?T = 2π√(m/k)
T = (2 × 3.14) × √(0.95 / 170)
T = 6.28 × √(0.95 / 120)
T = 0.47 second
Thus, from the above calculation, we can conclude that the period is 0.47 second
2. How do i determine the amplitude?The amplitude of the wave can be obtained as shown below:
Mass attached (m) = 0.95 KgSpring constant of spring (K) = 170 N/mMaximum speed (v) = 0.25 m/sAmplitude (A) =?A = v√(m/k)
A = 0.25 × √(0.95 / 170)
A = 0.02 m
Thus, the amplitude is 0.02 m
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Which of the following statements best summarizes the law of conservation of energy before and after a change in a system?
A. The potential energy is the same before and after the change, and
the kinetic energy is the same before and after the change.
B. The sum of the potential energy before and after the change
equals the sum of the kinetic energy before and after the change.
C. The sum of the potential energy and the kinetic energy before the
change equals the sum of the potential energy and the kinetic
energy after the change.
D. The potential energy equals the kinetic energy before the change
and after the change.
The statement that best summarizes the law of conservation of energy before and after a change in a system is "The sum of the potential energy and the kinetic energy before the change equals the sum of the potential energy and the kinetic energy after the change"
What is the law of conservation of energy?The law of conservation of energy is a fundamental principle of physics that states that the total amount of energy in a closed system remains constant over time. This means that energy cannot be created or destroyed, only transformed from one form to another.
The above statement summarizes the law of conservation of energy, which states that energy cannot be created or destroyed, only transformed from one form to another. The total amount of energy in a closed system remains constant before and after any change, even though the energy can change from one form to another.
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How much more force can the larger piston exert compared with the force applied to the smaller piston
HELPPPPP MEEEEEEE. genes can __________ many traits and can be ____________ through biotechnology
Genes can shape many traits and can be modified through biotechnology.
What are genetic engineering techniques?The expression genetic engineering techniques refer to all procedures that use recombinant DNA to create or redesign gene sequences, which invariably may modify or change the expression of a given phenotypic feature in the target organism in which this sequence is being inserted.
Therefore, with this data, we can see that genetic engineering techniques can modify a phenotype to express a desirable trait such as by inserting the insulin gene into bacteria.
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If a component obeys Ohm’s Law, then decreasing the temperature of a material will ___________ the resistance.
A. Keep constant
B. Increase
C. Not enough info
D. Decrease
If a component obeys Ohm’s Law, then decreasing the temperature of a material will decrease the resistance.
According to Ohm's Law, the resistance of a conductor is directly proportional to its temperature, and inversely proportional to its cross-sectional area and the length of the conductor.
However, for most conductors, the change in resistance due to a change in temperature is relatively small, and can be approximated using the temperature coefficient of resistance (TCR) of the material. The TCR is a measure of how much the resistance of a material changes per degree change in temperature.
In general, for metallic conductors, the TCR is positive, which means that the resistance increases as the temperature increases, and decreases as the temperature decreases. Therefore, if the temperature of a material decreases, the resistance of the material will also decrease, assuming that the other factors affecting resistance (such as length and cross-sectional area) remain constant.
Decreasing the temperature of a material that obeys Ohm's law generally decreases the resistance because the charged particles in the material move slower, resulting in less resistance to current.
Explanation:If a component obeys Ohm’s Law, resistance in most common materials generally increases with temperature. Therefore, decreasing the temperature of a material will normally decrease the resistance. This is because the charged particles in the material move more slowly at lower temperatures, leading to less resistance to current flow.
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An airplane flies with a constant speed of 1624 miles per hour. How far can it travel in 30 minutes?
The distance the airplane will travel in 30 minutes, given that the airplane travels at 1624 miles per hour is 812 miles
How do i determine the distance travelled?The following data were obtained from the question:
Speed of airplane = 1624 mile per hourTime taken = 30 minutes = 30 . 60 = 0.5 hourDistance travelled =?Speed is defined as distance travelled per unit time.
Speed = Distance travelled / time
Inputting the various parameters, we can obtain the distance travelled as follow:
1624 = Distance travelled / 0.5
Cross multiply
Distance travelled = 1624 × 0.5
Distance travelled = 812 miles
Thus, we can conclude that the distance travelled by the airplane in 30 minutes is 812 miles
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the period of a pendulum is measured to be 3m, in the rest frame of the pendulum. What is the period of the pendulum when measured by observer moving at speed of 0-95c with respect to The pendulum ?
Answer:The period of a pendulum, as measured by an observer moving at a relativistic velocity with respect to the pendulum, can be calculated using the concept of time dilation from special relativity.
The formula for time dilation in special relativity is given by:
Δt' = Δt / sqrt(1 - (v^2 / c^2))
where:
Δt' is the time interval measured by the moving observer
Δt is the time interval measured in the rest frame of the pendulum
v is the relative velocity between the pendulum and the moving observer
c is the speed of light in vacuum
In this case, the relative velocity between the pendulum and the moving observer is 0.95c, where c is the speed of light in vacuum (approximately 3 x 10^8 meters per second). Let's assume the period of the pendulum as measured in its rest frame is 3 seconds.
Plugging in the values into the formula:
Δt' = 3 / sqrt(1 - (0.95c)^2 / c^2)
Simplifying the expression:
Δt' = 3 / sqrt(1 - 0.95^2)
Using a calculator to evaluate the square root and simplify further, we get:
Δt' = 3 / sqrt(0.0975)
Δt' = 3 / 0.3125
Δt' ≈ 9.6 seconds
So, the period of the pendulum, as measured by an observer moving at a speed of 0.95c (95% of the speed of light) with respect to the pendulum, would be approximately 9.6 seconds. This demonstrates the concept of time dilation in special relativity, where the observed time interval changes due to relative motion at relativistic velocities.
Explanation:
What evidence have you discovered to explain how plants, such as sunflowers, and animals process energy?
Answer:
Living organisms collect the energy from the sun, and use water and carbon dioxide to produce sugars in the process known as photosynthesis. Animals can use the energy and sugars that have been provided by the plants. When plants get enough light, plants can make their own food
Plants process energy through photosynthesis, a process that converts light energy into chemical energy. Animals process their energy through cellular respiration, which turns biochemical energy from nutrients into adenosine triphosphate. These processes are interrelated, involving a cycle of oxygen, glucose, carbon dioxide, water and energy.
Explanation:Plants, such as sunflowers, and animals process energy differently. Photosynthesis is the process by which plants, including sunflowers, convert light energy, usually from the sun, into chemical energy that can be later released to fuel the organisms' activities. This process occurs in the chloroplasts, specifically using the chlorophyll in the leaves.
Animals, on the other hand, get their energy through cellular respiration, a set of metabolic reactions and processes that take place in the cells of organisms to convert biochemical energy from nutrients into adenosine triphosphate (ATP), and then release waste products. Unlike photosynthesis which occurs in the chloroplasts, cellular respiration mostly occurs in the mitochondria.
The two processes, although different, are interrelated. Plants produce oxygen and glucose (sugar) during photosynthesis, which are then used by animals (and plants as well) in cellular respiration to produce carbon dioxide, water and energy. Then the carbon dioxide and water are taken up by the plants to use in photosynthesis.
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what is parallel universe ?
Answer:
I really hope this helps.:)
Explanation:
A parallel universe, also known as a parallel dimension, alternate universe, or alternate reality, is a hypothetical self-contained plane of existence, co-existing with one's own. The sum of all potential parallel universes that constitute reality is often called a "multiverse".
A bus travelling 80 km/h accelerates for 20 seconds to a speed of 100 km what is the acceleration 
Can u please help with this two tasks?
Workbook:complete physics for Cambridge secondary first
For electricity generation the words in order are:
a You can generate electricity by moving a coil of wire in a magnetic field. The size of the voltage depends on the speed of the movement and the strength of the magnet.
b In a model generator, a coil rotates between the poles of a magnet. If a coil with more turns is used the voltage is greater. If the coil spins faster, the voltage is greater.
What is the influence of induced voltage?a. If the student moved the magnet towards the coil at a slower speed, she would notice that the induced voltage on the voltmeter decreases. This is because the voltage induced is proportional to the rate of change of the magnetic field, which decreases as the speed decreases.
b. If the student moved the magnet towards the coil at the same speed, she would notice that the induced voltage on the voltmeter remains the same. This is because the voltage induced is proportional to the rate of change of the magnetic field, which is constant if the speed is constant.
c. If the student turned the magnet round and moved it towards the coil, she would notice that the induced voltage on the voltmeter is in the opposite direction. This is because the direction of the induced voltage is determined by the direction of the change in magnetic field, which is reversed when the magnet is turned round.
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A 0.120 kg, 90.0-cm-long uniform bar has a small 0.055 kg mass glued to its left end and a small 0.110 kg mass glued to the other end. The two small masses can each be treated as point masses. You want to balance this system horizontally on a fulcrum placed just under its center of gravity.
How far from the left end should the fulcrum be placed?
The fulcrum should be placed 0.120 m from the left end of the bar to balance the system horizontally.
What is balance?
To balance the system horizontally, the center of gravity (CG) of the bar and the attached masses should be placed directly above the fulcrum. We can find the location of the CG using the following formula:
CG = (m1x1 + m2x2 + m3x3) / (m1 + m2 + m3)
where m1, m2, and m3 are the masses of the bar, the 0.055 kg mass, and the 0.110 kg mass, respectively, and x1, x2, and x3 are their respective distances from the left end of the bar.
We know that the total mass of the system is:
m = m1 + m2 + m3 = 0.120 kg + 0.055 kg + 0.110 kg = 0.285 kg
Let x be the distance from the left end of the bar to the fulcrum. Then, the distance from the fulcrum to the center of gravity is (L/2 - x), where L is the total length of the bar (90.0 cm). Therefore, we want to find x such that:
CG = (L/2 - x)
Substituting the expressions for the CG and the masses, we get:
(m1x1 + m2x2 + m3x3) / (m1 + m2 + m3) = (L/2 - x)
Simplifying and rearranging, we get:
x = (m1x1 + m2x2 + m3x3) / (m1 + m2 + m3) - L/2
We can choose any two points on the bar as reference points, and take their distances as x1 and x3. Let's choose the left end of the bar as x1 = 0, and the right end of the bar as x3 = L = 90.0 cm = 0.900 m. Then, we can find x2, the distance from the left end to the 0.110 kg mass, as:
x2 = L - x1 - x3 = 0.900 m - 0 m - 0.090 m = 0.810 m
Substituting the masses and distances, we get:
x = (m1x1 + m2x2 + m3x3) / (m1 + m2 + m3) - L/2
x = (0 kg × 0 m + 0.055 kg × 0.810 m + 0.110 kg × 0.900 m) / (0.120 kg + 0.055 kg + 0.110 kg) - 0.450 m
x = 0.570 m - 0.450 m
x = 0.120 m
Therefore, the fulcrum should be placed 0.120 m from the left end of the bar to balance the system horizontally.
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