Q: When is the PE the highest on the pendulum?

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When the pendulum is at its highest point or amplitude, it has the highest potential energy. When it passes by its point of equilibriu, it has the highest kinetic energy.

at both ends of the swing, where the bob is the highest

There are 3 Points at which the pendulum significantly changes direction. First it starts off pulled back before it is released it has a high potential energy because it is higher from the source of gravitation (generally the earth) but has no kinetic energy because it is not moving. Once released the pendulum loses potential energy and it swings downward and gains kinetic energy as it speed up. At the bottom of its swing it is going as fast as it will and has the highest kinetic energy and the lowest potential energy, then as it rises it loses the kinetic energy because it has to fight against gravity and loses kinetic energy and gains potential energy as it rises. And it repeats itself. One important thing to note is this is a great application of the law of conservation of energy because as it loses potential energy it gains the same energy in kinetic energy and vice versa (not counting the effects of wind resistance and friction however minor).

This could be quantified using calculus, but to simply know WHERE it is fastest but not how fast, simple first principals are all that is required - that of conservation of energy. At the low point the pendulum has it's least Potential Energy (PE) - it has fallen as far as it can. As it rises it gains PE, gathering that energy by reducing the Kinetic Energy (energy of motion) of the mass. Clearly the pendulum is traveling fastest at the bottom.

In a pendulum, the kinetic energy is least when it is farthest up in its swing. At this point or maximum height, it has the maximum potential energy. Because at this point the pendulum also becomes motionless for a short duration, the kinetic energy is zero because the speed is zero.

Related questions

When the pendulum is at its highest point or amplitude, it has the highest potential energy. When it passes by its point of equilibriu, it has the highest kinetic energy.

greetings.a pendulum has both kinetic and potential energy at one point.when the pendulum is at its highest point it has potential energy.it has kinetic energy when the ball of the pendulum is right in the middle.get it?

at both ends of the swing, where the bob is the highest

There are 3 Points at which the pendulum significantly changes direction. First it starts off pulled back before it is released it has a high potential energy because it is higher from the source of gravitation (generally the earth) but has no kinetic energy because it is not moving. Once released the pendulum loses potential energy and it swings downward and gains kinetic energy as it speed up. At the bottom of its swing it is going as fast as it will and has the highest kinetic energy and the lowest potential energy, then as it rises it loses the kinetic energy because it has to fight against gravity and loses kinetic energy and gains potential energy as it rises. And it repeats itself. One important thing to note is this is a great application of the law of conservation of energy because as it loses potential energy it gains the same energy in kinetic energy and vice versa (not counting the effects of wind resistance and friction however minor).

This could be quantified using calculus, but to simply know WHERE it is fastest but not how fast, simple first principals are all that is required - that of conservation of energy. At the low point the pendulum has it's least Potential Energy (PE) - it has fallen as far as it can. As it rises it gains PE, gathering that energy by reducing the Kinetic Energy (energy of motion) of the mass. Clearly the pendulum is traveling fastest at the bottom.

In a pendulum, the kinetic energy is least when it is farthest up in its swing. At this point or maximum height, it has the maximum potential energy. Because at this point the pendulum also becomes motionless for a short duration, the kinetic energy is zero because the speed is zero.

-- If you're talking about a pendulum, then the potential energy is highest and kinetic energy is zero at the ends of the swing, and potential energy is lowest and kinetic energy is highest in the middle of the swing. -- If you're not talking about a pendulum, then the preceding may be completely wrong.

28 kg

seralo pe le

The pendulum's momentum or kinetic energy is converted to gravitational potential energy until all of the kinetic energy is converted. The pendulum stops.

When the pendulum is at it's highest point in it's path of flight, the pendulum is not moving, and has purely potential energy. When the pendulum reaches the lowest point in it's flight, that potential energy is converted into kinetic. The total amount of energy has not changed though. Let's make up numbers to prove how this is true. Say we have a ball on the end of the pendulum that weighs 10kg. At it's max height, the ball reaches 5 meters above it's starting point. Since potential energy (PE) = mass (m) x gravity (g) x height (h), our PE = (5kg)(10m/s^2)(5m) = 250 Joules. As I mentioned earlier, total potential energy will equal the total kinetic energy (KE). When the ball reaches it's lowest point (where it's velocity is the highest), we can use our PE energy from the first equation to determine how fast the ball is moving at the bottom of the swing. KE = (1/2) x mass (m) x velocity (v) squared. Since KE also equals PE, we have 250 = (1/2)(5)(v^2) --> 100 = v^2. Therefore the veolcity equals 10 meters per second.

Remember the formula used to calculate the gravitational potential energy of a mass given its mass and height above an arbitrary zero level isPEgravity = mghWhen a pendulum is pulled back from equilibrium through an angle θ, its height is calculated with the formulah = L - L cos θwhere θ is the angular displacementThe formula used to calculate the kinetic energy of a massive particle isKE = ½ mv2In the absence of non-conservative forces, such as friction or applied, external forces, the mechanical energy in a system is conserved. That isDuring the swing of a simple pendulum, when does the bob possess maximum PE?PE is maximum at the endpoints (maximum amplitude)During the swing of a simple pendulum, when does the bob possess maximum KE?KE is maximum at equilibrium (bottom position)During the swing of a simple pendulum, what is the magnitude of the bob's maximum velocity?Another way of looking at conservation of energy is with the following energy diagram. As you can see,the "purple" curve represents the pendulum bob's KE which during each cycle begins with an initial value of zero, increases to a maximum value, and then returns to zerothe "green" curve represents the PE of the bob which begins each cycle at a maximum value, then becomes zero as the bob passes through its equilibrium position, and returns to its maximum valuethe "brown" line represents the total energy of the pendulum bob that always remains constantIf a pendulum is initially released at an angle of 37º, at what angle will its PE and the KE be equal?25.9ºRefer to the following information for the next question.At any intermediate position during the oscillation, the pendulum bob would have both PE and KE.PEmax = PEintermediate + KEintermediate = KEmaxIf the pendulum was released at point A, derive an expression for the pendulum's instantaneous velocity at point B, an intermediate position in its swing.See the related lesson on vertical circles if you are asked to calculate the tension of the string during the pendulum's oscillation. Remember that a pendulum is merely the bottom half of a vertical circle! These conservation of energy methods are the easiest way to determine an object's speed so that tensions can be calculated.