0
At what point during a pole-vaulters jump is his gravitational potential energy the greatest?
Wiki User
∙ 14y ago
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.
Wiki User
∙ 14y ago
Add your answer:
Earn +20 pts
What is the equation for a falling object?
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).
What statement is supported by the data in the graphs?
The percentage of mice with white fur was greatest during the years of longest snow covers
How do you calculation room?
Room rates are calculated by the potential demand and value of the room. Rates are generally higher during peak season and holidays.
Is xcix is the greatest two digit roman numeral number?
No, "XCIX" is not the greatest two-digit Roman numeral number. The greatest two-digit Roman numeral number is "XC" which represents 90. "XCIX" represents 99.
What is a famous quote that Fibonacci said?
Without Mathematics there is no art is one of the famous quote that Fibonacci said. Fibonacci was one of the greatest genius of number theory during the 2000 years between Diophantus and Fermat.
How many times during one rise and fall of the ball are the gravitational potential and kinetic energy equal?
only at the start & end of the rise & fall
What natural sources of heat?
the sun gravitational compression of the still not fully compacted Earth (gravitational potential energy is converted to heat during compaction) radioactive decay comet and meteor strikes cosmic rays and neutrinos from extra-solar sources
What are the four types of potential energy?
Potential stands for the position. Hence potential energy is due to the position. Gravitational, electric potential, magnetic potential, elastic potential. If the energy is possessed during the motion it is said to be kinetic. So if a moving proton approaches a positively charged nucleus then it has to stand for an instant due to electrostatic repulsion. In that still position, the whole KE will be available as electrostatic potential energy.
What did Isaac newton say about gravitational potential energy?
Isaac Newton did not specifically discuss gravitational potential energy as a concept, as the term was not commonly used during his time. However, his laws of motion and universal law of gravitation laid the foundation for understanding the relationship between gravitational forces and energy. According to Newton, the potential energy associated with an object in a gravitational field increases with its height above a reference point.
At what point does a roller coaster have the greatest kinetic energy?
Potential energy is at its greatest when the train is at the highest point of the track. At the top of the first hill, before the first plunge. Potential energy = mass * gravity * height mass * gravity remain constant. When Height is greatest, PE is greatest
Explain how, if two vases are side by side on a shelf, one could have more potential energy?
If two vases are side by side on a shelf, one vase could have more potential energy if it is positioned higher than the other vase relative to the ground. This difference in potential energy arises from the gravitational potential energy of each vase. Gravitational potential energy depends on an object's weight (mass) and its height above the ground. So, if one vase is placed higher on the shelf, it will have more gravitational potential energy because it has a greater height above the ground compared to the other vase. This means that if the higher vase were to fall, it would travel a greater distance due to its higher starting point, and gravity would do more work on it during the fall, resulting in more potential energy stored in the higher vase.
When do the greatest tidal range occur?
The greatest tidal range happens around the time of full or new moons. This is the time when the gravitational forces of both are in phase and reinforce each other, either in the same direction during the new moon or exactly the opposite direction during the full moon. These tides are called spring tides. When the sun and moon's gravitational forces are at right angles to the earth's orbit, tides are called neap tides. These tides occur during the first and last quarters of the moon's phases
What is max or min the acceleration due to gravity experienced by Surface to Air Missile during the flight?
The acceleration due to gravity is almost constant during the entire flight. A minimal difference is found due to altitude, the further away from the center of the earth, the less the gravitational acceleration, so in a SAM the point when the missile is at it's greatest altitude will have the lowest gravitational acceleration component.
Pressure in the aorta is greatest during what?
Pressure in aorta is greatest during ventricular systole.
A presidents power as commander in chief is greatest during?
Greatest during War baby.
Artificial sources of heat?
the sun gravitational compression of the still not fully compacted Earth (gravitational potential energy is converted to heat during compaction) radioactive decay comet and meteor strikes cosmic rays and neutrinos from extra-solar sources
Is work being done when someone is sitting on a cushion on the floor?
Well. Work is being done. While sitting down, the person does not apply any force. He lets himself be dragged down by gravity. During this process, the gravitational force is doing the work. The work done by the gravitational force is stored as the potential energy present in the compressed cushion.
