A block of mass 0.260 kg is placed on top of a light, vertical spring of force constant 5 025 n/m and pushed downward. After the block is released, the spring will travel upward to the maximum height of 10.86 meters.
The relation between the potential energy on a string and the length it stretches is given by:
E = 1/2 . kx²
Where:
k = spring constant
x = spring stretch or compression
In the given problem:
k = 5,025 N/m
x = 0.106 m
Hence,
E = 1/2 . 5025 . (0.106)²
m . g . h = 1/2 . 5025 . (0.106)²
Where;
m = mass
h = height from the release point.
Hence,
0.260 x 10 x h = 28.23
h = 10.86 m
Therefore, the spring will travel upwards up to 10.86 m
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three particles lie in the x-y plane: a 100 gram particle lies at point (1,1), a 200 gram particle lies at point (-2,0), and a 300 gram particle lies at point (0,3). all distances are measured in meters. what is the moment of inertia for this system rotating in the x-y plane around the origin?
The system rotating in the x-y plane about the origin has a moment of inertia of 3.6 kg/m2.
What is Moment of inertia?A body's resistance to having the speed of its rotation along an axis changed by the application of a torque is known as its rotational inertia, and this property may be measured quantitatively (turning force). The axis could be internal or exterior, fixed or not.I = mi * ri2 = m1 * r12 + m2 * r22 + m3 * r32 = 100*12 + 200*22 + 300*32 = 100+800 + 2700 = 3.6Kg-m2The Moment of Inertia for a point mass is defined as the mass times the square of the angle from the rotational reference axis. I=mr2. A kilogram is one kilogram, and a metre is one metre.In physics, a moment can be described as the turning that forces have on objects.To learn more about Moment of inertia refer to:
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a 75.9 kg bobsled is pushed along a horizontal surface by two athletes. after the bobsled is pushed a distance of 7.9 m starting from rest, its speed is 7.5 m/s. find the magnitude of the net force on the bobsled. answer in units of n.
The magnitude of the net force on the bobsled is found to be 270 Newton.
The mass of the bobsled is 75.9 Kg, the bobsled is pushed by two athletes till a distance of 7.9 m with a speed of 7.5m/s.
The work energy theorem says,
The work done by a force is equal to the total change in kinetic energy of the body.
Let us say that the bobsled starts from rest, so, we can write,
Fs = 1/2MV²
F is the net force on the bobsled,
s is the distance to which it is moved,
M is the mass of the bobsled,
V is the speed of the bobsled.
Putting values,
F(7.9) = 0.5 x 75.9 x 7.5 x 7.5
F = 270 N.
The net force on the bobsled is 270 N.
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pre-lab form dynamic track collisions: conservation of linear momentum 1. what is an elastic collision? 2. what is an inelastic collision?
The conservation of momentum in an elastic collision is conserved whereas in an inelastic collision it is conserved but kinetic energy is lost.
When an elastic collision occurs in an isolated system, the total momentum of the object system is conserved. Assuming no net external forces acting on the objects, the momentum of all objects before the collision equals the momentum of all objects after the collision.
An inelastic collision is a type of collision that occurs between two objects in which energy is lost. In an inelastic collision, momentum is conserved, but kinetic energy is not. Most collisions in everyday life are inelastic in nature.
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consider a single quantum particle of mass m in a one-dimensional box of length l. derive the number of microstates with energy less than or equal to e. how would you count the number of microstates when two quantum particles are in the box if the particles are (i) distinguishable and (ii) indistinguishable?
To determine the total number of microstates, we need to determine the density of states in one dimension. The density of states function (g(E)) is the number of microstates per unit length per unit energy range.
In one dimension for a particle of mass 'm' in a box of length 'L' we have the energy given
E: hk2 2
From the boundary conditions of the cuboid at x=0 and x=L, we deduce that 'k' can take on discrete values in units of 2π/L. Consequently, the quantum states are in units of L/2π. The number of states 'N' for momentum 'k' will be equal to,
2KL N = TT
And the energy E at any momentum "k" is given by
E: hk2 2
The density of states in 1D is given by
9(E) 1 IN L DE = 1 DN dk L dk de
we know
NP 27 dk 1
AND,
hk DE Ε dk dk dЕ = m hk m
Notation in terms of energy E,
dk DE -m 1/2 E-1/2 -1/2
The density of states will be
9(E) 1 dN 1 dN dk IDE = I dk DE L L dE V2 m1/2E-12 πh
The total number of microstates at energy 'E' is,
2m Z(E) = [” 9(E)E = Z dE = E-1/2 DE 6.* -12dE = 22m VE ић пh
(i) A two-particle system will have the number of microstates will be,
Z(E) = 21(E1Z2E - E1)
where Z1 and Z2 are the microstates due to particle 1 and particle 2 calculated above. E1 is the energy of particle 1, so the energy of particle 2 is E-E1.
(ii) For indistinguishable particles, the number of microstates will be
Z(E) 21(E1)Z2(E – E1) 2!
where Z1 and Z2 are the microstates caused by particle 1 and particle 2, respectively, calculated as above. E1 is the energy of particle 1 and (E-E1) is the energy of particle 2. 2! it comes as a result of the fact that if we exchange two particles, due to their indistinguishability, the result will be the same.
E is the total energy of the system for both the above cases.
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Drag the item from the item bank to its corresponding match.
Match the situation with the energy transformation
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Elastic potential energy transformed into kinetic energy
kinetic energy transformed into electric energy
Gravitational potential energy transformed into kinetic energy
Electrical energy transformed into radiant energy
Chemical potential energy transformed into radiant energy
Electrical energy transformed into kinetic energy
Kinetic energy being transformed into thermal energy
Chemical potential energy transformed into thermal energy
Each situation should be match with the correct energy transformation as follows:
A boy shooting a rubber band across the classroom: elastic potential energy transformed into kinetic energy. A child going down a slide on a playground: gravitational potential energy transformed into kinetic energy. Rubbing your hands together to warm them on a cold day: kinetic energy being transformed into thermal energy. Turning on a battery operated light: chemical potential energy transformed into radiant energy.Using a DC electric motor: electrical energy transformed into kinetic energy.Using a gas power heater to warm a room: chemical potential energy transformed into thermal energy. Using a hand crank generator to produce electric current: kinetic energy transformed into electrical energy. Using the light in your room that is plugged into the wall: electrical energy transformed into radiant energy.What is energy?Energy can be defined as a measure of the ability of a physical body to do work. This ultimately implies that, energy must be possessed or transferred to a physical object or physical body before it can be used in doing a work or heating a system.
What is the law of conservation of energy?The law of conservation of energy states that the energy possessed by a physical body (object) can neither be created nor destroyed, but it can only be transformed from one form to another such as the gravitational potential energy possessed by a child on a slide that is transformed into kinetic energy.
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Complete Question:
Match the situation with the energy transformation.
A boy shooting a rubber band across the classroom
A child going down a slide on a playground
Rubbing your hands together to warm them on a cold day
Turning on a battery operated light
Using a dc electric motor
Using a gas power heater to warm a room
Using a hand crank generator to produce electric current
Using the light in your room that is plugged into the wall
Elastic potential energy transformed into kinetic energy
kinetic energy transformed into electric energy
Gravitational potential energy transformed into kinetic energy
Electrical energy transformed into radiant energy
Chemical potential energy transformed into radiant energy
Electrical energy transformed into kinetic energy
Kinetic energy being transformed into thermal energy
Chemical potential energy transformed into thermal energy
in our study of magnetism we learned that an energized conductor will build a magnetic field around it, is this field the same with both ac and dc circuits?
we learned that an energized conductor will build a magnetic field around it.this field is not same with both ac and dc circuits
what is magnetic field?A magnetic field is an invisible field that exerts a magnetic force on substances that are sensitive to magnetism. A classic example of one is the field created by an iron magnet; to see how the energy in such a field works, a small magnet can be placed under a piece of paper and iron filings sprinkled on it.
This important relationship between electricity and magnetism is known as electromagnetism, or the magnetic effect of current.
When DC current flows, the magnetic field will act in one direction.
when AC current flow will produce a magnetic field that varies in direction with the direction of the electron current flow.
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which graph best represents the relationship between the velocity of an object thrown straight upward from Earth's surface and the time that elapses while it is in the air?
The graph that best represents the relationship between the velocity of an object thrown straight upward from the Earth's surface and the time that elapses while it is in the air is (option D)
What is Velocity?Velocity is the directional speed of a moving object as an indicator of its rate of change in location as perceived from a certain frame of reference and measured by a specific time standard.
In other words, velocity is the primary indication of an object's location as well as its speed. It is defined as the distance traveled by an item in one unit of time. The displacement of an item in unit time is defined as velocity.
The equation that speaks to the velocity at a vertically upwards object that is accelerated against gravity and time is given as:
v = u + at; where
v = velocity
u = point from which the object starts to move
a is acceleration; and
t is time.
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Full Question:
See attached image
a car moving at 30 m/s backwards it completes this motion is 6/s. what is the acceleration of this car
The acceleration of this car is 5 m/s².
Acceleration is the rate of change of the velocity of an item with appreciation to time. Accelerations are vector portions. The orientation of an item's acceleration is given by the orientation of the net pressure appearing on that object.
Calculation:-
initial velocity = 0 from rest
final velocity = 30 m/s
time = 6 sec
acceleration = rate of change of velocity
= 0 - (-30) /6
= 5 m/s²
Acceleration is the charge at which velocity modifications with time, in terms of each speed and route. A factor or an object moving in a straight line is accelerated if it quickens or slows down. movement on a circle is extended despite the fact that the rate is consistent because the course is continually changing.
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If you shot your catapult on the moon, what are at least two ways this would affect how your catapult launches?
There is gravity on the Moon, just not as much as on Earth. So a catapult would be able to throw it's ammunition about six times farther than the same catapult on the Earth.
There may be gravity at the Moon, simply not as much as on the planet. So a catapult could be able to throw it's ammunition about six instances farther than the same catapult on this planet. things do not waft at the Moon. They fall, however they do fall slowly, slower than they do on the earth.
Catapults take advantage of elastic force, regarding stretched, compressed, bent, or twisted cloth. To prepare a catapult to launch a rock, it takes paintings to twist a rope, to stretch a rubber band, or bend wood.
Catapults operate the usage of projectile movement, that is a form of science referred to as Physics. Catapult physics is essentially the usage of stored strength to hurl a projectile. The three primary strength storage mechanisms are tension, torsion, and gravity.
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2. In Fig. 2-7 a mass m of 12.00 kg is pulled, at constant speed, along an inclined plane which makes an angle with the horizontal.
(a) What is the value of angle A if we want to raise the mass m to a height of h = 2.00 m?
(b) What is the mechanical advantage produced by the inclined plane? We assume that the inclined plane is frictionless.
Answer:
As P is increased from mg(sinθ−μcosθ) to mg(sinθ+μcosθ) frictional force will change from mgcos ( upwards parallel to inclined plane) to 0 to mgcos (downwards parallel to inclined plane). Under the approximation of linear variation of P the correct option is A.
Incisors (front teeth) act as wedges in the human body. Which change would increase the mechanical advantage of incisors?
a decrease in the distance of the teeth from the fulcrum
an increase in the distance of the teeth from the fulcrum
an increase in the thickness at the widest part of the teeth and no change in the length of the teeth
an increase in the length of the teeth and no change in the thickness at the widest part of the teeth
The change which would increase the mechanical advantage of incisors is an increase in the length of the teeth and no change in the thickness at the widest part of the teeth and is denoted as option D.
What is Teeth?They are referred to as a hard structure as a result of it being rich in minerals and is used to chew food so as to increase the surface area for enzymatic action during digestion.
There are different types of teeth such as incisor, molar etc with each having their unique structure and function. Incisors are used to cut food and are located in the middle region of the upper and lower jaw.
The mechanical advantage of incisors will be increased by increasing the length as it helps to bite into the food more and there should be no change in the thickness at the widest part of the teeth as changes could lead to difficulty in the teeth cutting through the substance.
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An astronaut orbits the Earth in a space station.Which is a vector quantity
The force of gravity is the only force acting upon their body. The astronauts are in free-fall.
If the astronaut is formed of the same amount of material as before, the mass will always be the same.
So, when asked what the astronauts' mass is on the space station, we can respond it's still 65 kg. Because there is no gravity in space, astronauts float around.
Everyone understands that the gravitational force decreases with distance from Earth. Astronauts are so far away from Earth that gravity is negligible. This is why NASA refers to it as microgravity.
Mass is the same whether measured on Earth or on the International Space Station. Weight can vary based on gravitational pull, such as on the Moon, where weight is one-sixth that of Earth.
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the movement of sand parallel to the shore: question 3 options: is created by waves approaching at an oblique angle to the shoreline. is achieved by longshore currents, causing longshore drift. is caused by deep ocean currents. none of these choice are correct.
It is the oblique angle of the waves breaking on the beach that causes longshore drift, which is the movement of sand parallel to the shore. The development of cavities on the coast, like bays and deltas, can be filled in by this phenomenon, causing the beach to cross into the mainland. Spits are narrow, outgrowths of the beach. A barrier island is formed when a storm, such as a hurricane, cuts inward through the spit.
Beaches formed along the low coastal plains during the last eras when sea levels were lower. Large dune ridges of beach sand were piled up in a shoreward direction. The coastal plains became inundated due to a rise in sea levels caused by the melting ice caps. The crests of the submerged dunes offshore eventually formed the island's heart. The dune ridges were later reshaped and enlarged into a barrier island by wave action and longshore drift.
The coastlines that the aforementioned islands protect are less likely to be damaged/disturbed by waves and storms. Barrier island beaches are not heavily secured, so storm waves can easily crash into them. The side of the land of a barrier island is where most of the action is, even though beaches and dunes tend to get the most attention.
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a 3 kg sphere moving at 30 m/s makes a perfectly inelastic collision with a second sphere of 6 kg that is at rest. (a) what is the velocity of the spheres after the collision? (b) how much kinetic energy is lost in the collision?
The energy an object has as a result of motion is known as kinetic energy.A force must be applied to an object in order to accelerate
How much kinetic energy is lost in the collision?Given,
m1 = 3 kg
Mass, = 3kg
Speed, = 30 m/s
u2= 0
= 1 kg
Speed after collision = 6 m/s
Kinetic energy lost, K×E = ?
During collision, momentum is conserved.
Before collision, the kinetic energy is
KE =1/2(3)*(3)*(30)+1/2*1*(0)²
KE=1/2*4*25+0
By plugging in the values we get,
K×E = 50 J
Therefore, kinetic energy before collision is 50 J
Kinetic energy after collision:
KE =1/2(4+1)+KE
KE = 40J+KE
Since,
Initial Kinetic energy = Final kinetic energy
50J=40J+K*E
50 J = 40 J + K×E(lost)
K×E(lost) = 50 J - 40 J
K×E(lost) = 10 J
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he coefficient of the restitution of an object is defined as the ratio of its outgoing to incoming speed when the object collides with a rigid surface. for an object with a coefficient of 0.76, what fraction of the object's kinetic energy is lost during a single collision? the coefficient of the restitution of an object is defined as the ratio of its outgoing to incoming speed when the object collides with a rigid surface. for an object with a coefficient of 0.76, what fraction of the object's kinetic energy is lost during a single collision? 42% 58% 17% 51%
A single collision results in a loss of 42% of the object's kinetic energy.
How to calculate coefficient of restitution?Kinetic energy is equal to 0.5 x mass x v2.
kinetic energy coming in = 0.5 x m x v2
v/u = Coefficient of restitution
0.76 = v/u
v = 0.76u
Kinetic energy expended = 0.5 x m x 0.76²
Kinetic energy expended = 0.5 x m x 0.5776
Kinetic energy expended = 0.5776 (0.5 x m x )
The kinetic energy that is coming in is 0.5 x m x x2.
kinetic energy expended = 0.5776 x (incoming kinetic energy)
The entering kinetic energy is equal to 57.76% of the exiting kinetic energy, as can be seen from the above.
A loss of energy of 100 - 57.76 = 42.24%
Therefore, a single collision results in a loss of 42.24% of the object's kinetic energy.
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for a slinky, the unstretched length is much shorter than the stretched length. suppose that the fundamental standing wave is oscillating on a slinky. how does the period of the standing wave change as the length of the slinky is altered?
Using the concepts of simple harmonic progression, we got that period of the standing wave changes directly proportional as the length of the slinky is altered.
We know very well that a standing wave traverse alternatively from crest to trough.
Crest is defined as that point when amplitude is maximum in positive y-direction and trough is defined as that point when amplitude is maximum in negative y-direction.
To traverse from crest to trough, a standing wave requires some time.
When the length of standing wave changes the time required by the standing wave also changes.
It means if we increase the length of slinky then the time required by the standing wave also increases and if we decrease the length of slinky then the time required by the standing wave also decreases.
Hence, when the fundamental standing wave is oscillating on a slinky, the period of the standing wave change directly proportional as the length of the slinky is altered.
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An 80kg woman jumps from a wall and lands stiff-legged in soft sand. The woman's downward speed just as she touches the sand is 6m/s. She is stopped after sinking 0.05m into the sand. Calculate the net force on the woman while she is being stopped by the sand. Round to nearest whole number
The net force on the woman while she was stopped by the sand is 28800 N.
What is force?Force can be defined as the product of the mass of a body and its acceleration.
To calculate the net force on the woman, we use the formula below.
Formula:
F = m(v²-u²)/2s........... Equation 1Where:
m = Mass of the womanF = Force on the womanv = Final velocityu = Initial velocitys = DistanceFrom the question,
Given:
m = 80 kgv = 6 m/su = 0 m/ss = 0.05 mSubstitute these values into equation 1
F = 80(6²-0²)/(2×0.05)F= 80×36/0.1F = 28800 NHence, the net force on the woman is 28800 N.
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which factor is not usually considered by physicians when determining how much to charge for a procedure
The charge for a procedure or accepting fees that are predetermined by the plan is dependent on the patient's ability to pay.
What does a physician do?Doctors and surgeons deal with maintaining health as well as diagnosing and treating illnesses and injuries. In addition to conducting physical examinations and medical history inquiries, doctors also order, carry out, and interpret diagnostic tests. Patients frequently receive advice from them on food, cleanliness, and preventative healthcare.
Physician labor is the part of the Medicare Physician Fee Schedule that represents the overhead expenses related to a service.
Mistaken cost.practice cost.Factor of conversion.While precertification gives the provider permission to provide the medical service, preauthorization specifically establishes the dollar amount approved for the medical procedure.
The main distinction between doctors and physicians is that doctors typically specialize in a field of practice while physicians typically have a more general background.
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a pilot flying low and slow drops a weight; it takes 2.2 s to hit the ground, during which it travels a horizontal distance of 180 m . now the pilot does a run at the same height but twice the speed. how much time does it take the weight to hit the ground?
Time taken by the weight to hit the ground is 2.2 seconds when pilot does a run at the same height but twice the speed.
What is distance , speed and how the time taken is same in the 2nd attempt as of the first attempt?Distance is a quantity which represents the product of speed and time in a given time period.Speed is the quantity that represents the distance travelled per unit time of the motion.Here the pilot takes 2.2 second of time to hit the ground and travels the distance of 180 meters.As we know that the time taken by the free fall from same height is always same.Time taken for the weight to hit the ground would be same as of the first attempt that is 2.2 seconds.To know more about speed visit:
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a piece of wood from a nearby construction site floats near the shore of a lake. it floats in very calm water with half of its volume just above the surface. what is the density of this piece of wood? the density of water is 1000 kg/m3 .
A piece of wood from a nearby construction site floats near the shore of a lake. it floats in very calm water with half of its volume just above the surface. The density of this piece of wood will be 500 kg/[tex]m^{3}[/tex]
The floatation principle states that when an object floats in a liquid, the buoyant force acting on the object is equal to the object's weight.
since ,
buoyant force = rho * g * V
= 1000 * g * (V/2) equation 1
objects weight = mg equation 2
equating equation 1 and equation 2
500 * g * V = mg
mass = 500 V
density = mass / volume = 500 V / V
= 500 kg/[tex]m^{3}[/tex]
The density of this piece of wood will be 500 kg/[tex]m^{3}[/tex]
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What is The reason at which carbon dating works?
what does a profilometer do? question 11 options: measures the wavelengths of light emitted or absorbed by an object separates items for chemical analysis uses a laser to measure the heights and depths of toolmarks allows the examiner to see the evidence toolmark and the reference toolmark simultaneously
An instrument called a profilometer is used to gauge a surface's profile and surface finish.
What is a Profilometer & Why is it Used?A profilometer is a tool used to gauge a surface's profile and polish. Surfaces on a small scale can be made up of a series of peaks and valleys that vary in height, depth, and spacing. The surface's ability to create a seal, look glossy or matte, feel smooth or rough, or be used as a wear surface depends on minute variations in these characteristics. Surface roughness or surface finish specifications are frequently specified on technical drawings in industries that manufacture mechanical parts, and profilometers are used to confirm that the specifications have been met.The method of profilometry is used to extract topographical information from a surface.To Learn more About profilometer refer to :
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2. Hot-air balloons are a fun way to travel around the globe.
A. In what layer can a hot-air balloon travel?
B. Why can't a hot-air balloon go to higher layers?
20points
The layer that the hot-air balloon can travel to, in the layer of the atmosphere is troposphere. its can't a go to higher layers because it would be affected by density.
What is troposphere?The troposphere servesv as the lowest layer of Earth's atmosphere however it has the mass (about 75-80%) of the atmosphere and most of tthe types of clouds can be seen in the troposphere, then the weather occurs within this layer.
It should be noted that the troposphere has the highest density, as well as the greatest air pressure, however the water vapor, and a temperature range from 62, layer that the hot-air balloon can travel to, in the layer of the atmosphere is troposphere.
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For many-electron systems each principal energy level is split into of differing energies. The energy of an orbital in such a system is affected by the charge, by repulsions between , and by orbital shape.
For many-electrons systems, each principle energy level is split into sublevels of differing energies. Energy of orbital in such system is affected by nuclear charge, by repulsions between electrons and by orbital shape.
What is principal energy level?Each principal energy level is split into closely spaced sublevels. This quantum number is named the orbital shape quantum number as each orbital in a given type of sublevel has the same electron cloud shape.
Each energy sublevel corresponds to an orbital of a different shape that describes where the electron can be found and the energies of electrons are said to be quantized.
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all of the following statements are correct except group of answer choices resistance tests may not reflect the actual performance conditions of an ignition coil. current ramping can be used to test for current limits and charging rise time of the ignition circuit. testing an ignition coil for resistance will always indicate its condition. a digital storage oscilloscope is used to perform current ramping tests.
Given statements are correct according to ignition coil resistance.
Resistance testing could not accurately represent how an ignition coil performs in practice. Testing the current limits and charging rise time of the ignition circuit can be done using current ramping. A coil's state may always be determined by measuring the resistance of the coil. Testing of current ramping is done using a digital storage oscilloscope.
What is ignition coil resistance?Although most ignition coils' primary resistance should range from 0.4 to 2 ohms, you should check the manufacturer's specifications for the exact value. If the reading is zero, the ignition coil needs to be changed since the primary windings have internally shorted.
The resistance of an ignition coil can always be used to assess its condition.
The actual operating conditions of an ignition coil might not be captured by a resistance test.
Current ramping can be used to test the current limitations and charging rise time of the ignition circuit.
A digital storage oscilloscope is used for the ramping tests that are currently being done.
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which is greater, the force of her finger on the table, or the force of the table back on her finger?
More force is exerted by the table against her finger than she exerts against the surface.
Explain about the Force?Active power is the force behind motion or change that is exerted or brought to bear. the elements of nature
The term "force" has a clear definition in science. It is quite acceptable to refer to a force of this level as a push or a pull. An object does not "have in it" or "contain" a force. One thing is subject to a force from another. There is no distinction between living and non-living things in the concept of a force.
The newton is the SI unit of force. As they relate to force, the base units are: The symbol for the length measurement known as the meter is m. The symbol for the kilogram, a unit of mass the sign s represents the second, a unit of time.
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Describe the general shape of human population growth as graphed in figure 1-13. During which years was the growth exponential?
The population graph of a human population would have an exponential phase followed by a lag phase.
What is the shape of the human population graph?We know that the population has to do with the number of people that can be found in a particular geographical location. Let us note that the population of a place could tend to increase or decerease with time. If the population is increasing with time, then more individuals are added.
It is common to see that the population would undergo a growth phase and then this could be followed by a period in which there is a lag which is shown as a plateau on the graph. This is the general shape of the graph of human population growth.
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gravitational potential energy is always measured group of answer choices relative to the ground. relative to the center of the earth. relative to the center of the sun. relative to an arbitrary reference level.
The gravitational potential energy is always measured relative to the ground.
The gravitational potential energy of a system is related as.
PE = MgH
Where,
M is the mass of body,
g is the acceleration due to gravity,
H is the height of the body with respect to the ground.
As we know, for a particular surface on earth, the mass and g is always constant.
Only the height of the body is changing with respect to the ground, Hence we can conclude here, that gravitational potential energy of a body is measured with respect to the ground.
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if a power plant operating at a steady power of 100 mw has run for a time 50 hrs. then the energy produced is?
5,000 Megawatt hour, amount of energy is produced by the power plant , which operates at steady power of 100 Megawatt.
Power is defined as rate of doing work or it is the work done per unit of time .
mathematically, P = W/t
where, P--> power in watt
W ---> work done by body in joule and t-----> time taken to do work in sec
but as we know Energy is defined as capacity to do work . Then it is same as work done. The S.I units of energy is joule.
So, power in form of energy is defined as amount of energy transferred per unit of time.
mathematically, P = E/t
We have , power of plant (P) = 100 megawatt
time (t) = 50 hours
put in above formula we get, 100 MW
= energy/ 50 hours
Energy = power × time = 100MW × 50 hours
= 5000 Megawatt hours
So, energy produced by the power plant of 100 ME is 5,000 Meagawatt hour.
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The moving of soil by water
Erosion is the moving of soil by water, which represent a geological process able to shape the features of different rock layers.
What is the geological erosion?The geological erosion is the process by which natural forces such as winds and also water may shape a given layer of rock, which occurs at a geological scale because it is a slow phenomenon.
Therefore, with this data, we can see that the erosion process is a slow phenomenon that shape the geographic features of layers of rocks on the Earth surface.
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