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When the total mechanical energy (potential energy + kinetic energy) of a system is conserved, it means that the sum of the kinetic and potential energies remains constant over time. This implies that the system is isolated from external forces that could alter its energy. In such cases, the energy transformation between potential and kinetic energies can occur without any net loss or gain in the total mechanical energy of the system.
What else can I help you with?
When a object falls.. PE decreases and KE increases?
Yes, as an object falls, its potential energy (PE) decreases due to a decrease in height, while its kinetic energy (KE) increases as it gains speed from the pull of gravity. The total mechanical energy of the object (PE + KE) remains constant if we ignore air resistance.
If we know the total in a system is 30 joules and we know the poteial energy is 20jolueswhat is the KE?
The total energy in a system is the sum of its potential energy (PE) and kinetic energy (KE). In this case, with a total energy of 30 joules and potential energy of 20 joules, we can use the formula: Total Energy = Potential Energy + Kinetic Energy. So, KE = Total Energy - PE = 30 J - 20 J = 10 joules.
A paper airplane with mass 0.1 kg is flying 1.5 m above the ground with a speed of 2 ms. What is the total mechanical energy of the paper airplane?
The total mechanical energy of the paper airplane can be calculated as the sum of its kinetic energy (KE) and potential energy (PE). KE = 0.5 * mass * velocity^2 and PE = mass * gravity * height. Since the paper airplane is moving, it has kinetic energy. The total mechanical energy is KE + PE.
What does PE initial plus KE initial equals PE final plus KE final mean?
This equation represents the conservation of mechanical energy in a system. It states that the total initial mechanical energy (sum of potential energy and kinetic energy) of a system is equal to the total final mechanical energy of the system, assuming only conservative forces are present (no external work is done). This principle is often used to analyze the motion of objects in various scenarios.
Why energy is converted from PE to KE when an object falls?
As an object falls, its potential energy (PE) decreases due to the force of gravity pulling it downward. This decrease in PE is accompanied by an increase in kinetic energy (KE) as the object gains speed from its downward motion. Thus, energy is converted from PE to KE as the object falls.
What can you infer in the relationship of PE and KE of free falling body?
As the energy is conserved, PE + KE = constant So as PE decreases KE increases by the same amount
Total amount of potential and kinetic energy?
Total Energy = Potential + Kinetic TE=PE+KE
When a object falls.. PE decreases and KE increases?
Yes, as an object falls, its potential energy (PE) decreases due to a decrease in height, while its kinetic energy (KE) increases as it gains speed from the pull of gravity. The total mechanical energy of the object (PE + KE) remains constant if we ignore air resistance.
Diagram of IE plus SE equals PE?
The diagram of IE plus SE equals PE represents the relationship between kinetic energy (KE), potential energy (PE), and the total mechanical energy (E) of an object. In this diagram, IE represents the initial energy, SE represents the additional energy supplied, and PE represents the potential energy gained. The total mechanical energy of the object is the sum of the initial energy and the additional energy, which can be converted into potential energy.
When velocity will be constant what will be the energy?
Kinetic energy will be constant, but total energy (KE+PE) might not be. If the car, say, is climbing a hill at a steady speed, its KE is constant, but the work done by the engine is being used to increase PE.
If we know the total in a system is 30 joules and we know the poteial energy is 20jolueswhat is the KE?
The total energy in a system is the sum of its potential energy (PE) and kinetic energy (KE). In this case, with a total energy of 30 joules and potential energy of 20 joules, we can use the formula: Total Energy = Potential Energy + Kinetic Energy. So, KE = Total Energy - PE = 30 J - 20 J = 10 joules.
A paper airplane with mass 0.1 kg is flying 1.5 m above the ground with a speed of 2 ms. What is the total mechanical energy of the paper airplane?
The total mechanical energy of the paper airplane can be calculated as the sum of its kinetic energy (KE) and potential energy (PE). KE = 0.5 * mass * velocity^2 and PE = mass * gravity * height. Since the paper airplane is moving, it has kinetic energy. The total mechanical energy is KE + PE.
What does PE initial plus KE initial equals PE final plus KE final mean?
This equation represents the conservation of mechanical energy in a system. It states that the total initial mechanical energy (sum of potential energy and kinetic energy) of a system is equal to the total final mechanical energy of the system, assuming only conservative forces are present (no external work is done). This principle is often used to analyze the motion of objects in various scenarios.
how is mechanical energy is related to roller coasters?
Imagine you have a roller coaster which starts moving from point A down to point B, which is at ground level (where height, h, is equal to zero). It then moves up to point C, which is at about half the height of point A, then down to point D, which is slightly above ground level. Then it moves up again to point E, which is at a greater height than point A, and in doing so passes point F, which is at the same height as point A (drawing this out will help or look at the related link below for a diagram). TE=total energy PE=potential energy KE=kinetic energy Assuming friction and air resistance are negligible and that the roller coaster starts from rest, then the TE of the roller coaster is equal to its PE at point A. TE=PE at A As the roller coaster moves from A to B, its PE changes into KE. Since h=0 at B, then all the PE of the roller coaster at A is turned into KE at B. The change in PE=the change in KE from A to B. Here it is useful to note that at A, KE is a minimum (0) and PE is a maximum; at B, KE is a maximum and PE is a minimum (0). Thus, the KE at B is also equal to the TE. TE=KE at B Also note that TE remains constant, being the sum of the PE and KE possessed by the roller coaster. PE at A=KE at B At A, TE=PE+0 At B, TE=KE+0 Hence, TE is constant. As the roller coaster moves from B to C, its KE changes into PE as its height above the ground increases. However, when it reaches C, it does not possess only PE, but a combination of PE and KE. TE at C=PE at C + KE at C The reason why PE is not a maximum at C is because C is lower in height than A. We know that PE at A is the TE of the roller coaster for the entire course. Since PE is dependent on height, in order for the roller coaster to reach maximum PE, it must be at a height equal to the starting height. C is at roughly half the height of A, hence the roller coaster will possess only about half the PE it had compared to when it was at A. The rest of the energy is KE since TE=KE+PE. D is not at the same level as B, but is slightly higher. Hence, the roller coaster will not move as fast at D than it did at B. This is because it has less KE at D, due to the fact that it still possesses some PE (since h is not equal to 0 at D). Since TE=KE+PE and PE is not equal to 0, then KE will not be maximum and thus the roller coaster will move less quickly at D than it did at B. Using the same principle, the roller coaster will not be able to reach E. This is because it reaches maximum PE when it is at F, since F is at the same height as A. We know that at A, PE=TE. Hence, at F, PE=TE. Energy can neither be created nor destroyed, hence the energy of the roller coaster cannot exceed the TE it had at the start. Therefore, it will not reach E, but it will be at rest momentarily at F before moving down again and back to A (remember friction and air resistance are negligible), and continue moving back and forth between A and F. However, the roller coaster will be able to reach E if it is given KE in addition to the PE at A. In other words, if the roller coaster is already moving at a sufficient speed as it passes A, then it will be able to reach E. This is because the TE at A will now be equal to the sum of KE and PE at A, and KE is not equal to zero as it was in the previous example. The additional KE that would need to be supplied in order for the roller coaster to reach E would be equal to the difference in the PE at E and the PE at A (or F). PE at E - PE at A = KE at A which is the same thing as TE - PE at A = KE at A; or TE=PE at A + KE at A That's pretty much all of it.
What are the units of KE and PE?
I presume we're talking about Kinetic and Potential Energies here, if so the SI unit is joules. Anything dealing with energy such as KE, PE, GPE, ME have the same SI unit which is joules or a capital J.
Why energy is converted from PE to KE when an object falls?
As an object falls, its potential energy (PE) decreases due to the force of gravity pulling it downward. This decrease in PE is accompanied by an increase in kinetic energy (KE) as the object gains speed from its downward motion. Thus, energy is converted from PE to KE as the object falls.
What is the equation for PE?
There is no special formula for that: if you convert KE to PE, every joule of KE becomes one joule of PE. For practical calculations, you often have to use the KE and PE formulae separately.
