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His gravitational potential energy is greatest at the highest point in his vault. Viewing this problem ideally (where all outside factors are discarded), the pole vaulter's jump follows a parabolic path, and the vaulter will obviously be the furthest distance from the earth's surface when he reaches the highest point in the parabolic path and begins his descent. The gravitational potential energy of a single object with respect to the earth is given by U = mgh, where U is the energy given in joules, m is the mass of the object, g is the gravitational acceleration on earth (around 9.81 m/s2 toward the earth), and h is the positive distance from the earth's surface. In this problem, mass and acceleration are constant, since ideally, the only force acting on the vaulter is the force of gravity that will bring him back to the ground. Therefore, U is maximized at the highest point in the vault - the vertex of the parabola, halfway between the origin of his jump and the point where he hits the ground.

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The equation for the kinetic energy of a falling object is kinetic energy=1/2 an object's mass multiplied by it's speed squared. From this, we can work out the speed. First you need to know its weight and its kinetic energy. The kinetic energy is obtained by working out it's potential energy before it fell (Potential energy= mass multiplied by gravitational pull multiplied by height. Then, at whatever point during the fall, the decrease in potential energy marks the increase in kinetic energy. From then we work out the speed. Example; An object that weighs 8.1 kilograms is 10 metres above the ground. It's potential energy is therefore 8.1x10(gravitational pull on earth is always 10)x10. So it has a potential energy of 810 joules. it falls 5 metres, so it's potential energy is 8.1x10x5 (405 joules). The total energy, we know, is 810J, so 810-a05=405, giving it kinetic energy of 405J. The kinetic energy formula is then rearranged as speed squared=kinetic energy/ 0.5m. Our equation is therefore speed squared= 405/4.05, so speed squared=100. The square root of 100 is 10 so the speed is 10 metres per second (36 kilometres per hour).


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Related Questions

What is the diver gravitational potential energy just before the dive?

The diver's gravitational potential energy just before the dive is at its maximum, as the diver is at the highest point in the dive and has the most gravitational potential energy. This potential energy will be converted to kinetic energy as the diver falls during the dive.


Why would there be more gravitational potential energy than kinetic energy?

There would be more gravitational potential energy than kinetic energy when an object is at a high elevation or position above the ground, where the gravitational potential energy is proportional to the height of the object. As the object falls, the potential energy is converted to kinetic energy, so at any point during the fall, the sum of potential and kinetic energy remains constant.


What is the difference between chemical energy and gravitational energy?

Chemical energy is potential energy stored within the bonds of chemical compounds, which can be released during a chemical reaction. Gravitational energy is potential energy associated with an object's position in a gravitational field, which is determined by its height above a reference point.


How many times during one rise and fall of the ball are the gravitational potential and kinetic energy equal?

During one rise and fall of the ball, the gravitational potential energy and kinetic energy are equal two times: at the highest point (when all energy is potential) and at the lowest point (when all energy is kinetic).


Does gravitational potential energy converted to electrical energy occur in routine operation of a car?

That could happen in an electric or hybrid car, when the car is coasting down a hill, converting gravitational potential energy to the car's kinetic energy, and a touch of the brakes puts some of that kinetic energy into the batteries. But it's a stretch.


What kind of energy transformation occurs during skydiving?

During skydiving, potential energy is transformed into kinetic energy as the person descends towards the ground. As the skydiver falls, gravitational potential energy is gradually converted into motion, increasing their speed until they reach terminal velocity.


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A parachute stores potential energy when packed, and then converts this energy into kinetic energy when deployed during a fall. The kinetic energy is generated as the parachute slows down the descent of an object by increasing air resistance and drag.


What are the four types of potential energy?

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What are three 3 types of potential energy?

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What did Isaac newton say about gravitational potential energy?

he say nothing he did say about the apple falling out of the tree and as far as i know i rembener datiing him oh how he was so romattic he would teach me about science and we even made friction if you know what i mean ha it was good the well goodbye