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A pendulum has a gravitational potential energy of 224 J when it is at its highest point At the lowest point in its swing it has a velocity of 4 ms What is the mass of the pendulum?
Wiki User
∙ 14y ago
This is a simple little problem once you get your mind to it. Let the mass be M kg and the max height of the swing be H meters (that is the height of the mass above its lowest point, not the length of the swing).
Max velocity = 4 m/s, so max kinetic energy (KE) = 1/2 x M x 42 = 8M
We are assuming the potential energy (PE) at max height = kinetic energy at lowest point, ie no losses due to friction. Max PE = M x G x H where G = the gravitational constant.
So we have PE = KE = M x G x H = 8 x M, M cancels out and H = 8/G. Then substituting back for H, max PE = 224 = M x G x 8/G, G cancels out and M = 224/8 = 28 kg.
Wiki User
∙ 14y ago
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Where will you locate on a pendulum or roller coaster the greatest potential and greatest kinetic energy?
On a pendulum, the greatest potential energy is at the highest point of the swing on either side, and the greatest kinetic energy is at the bottom of the swing. On a roller coaster, the greatest potential energy is at the top of a hill, and the greatest kinetic energy is at the bottom of the hill.
Explain the energy conversions that occur as a pendulum swings and how does this demonstrate conservation of energy?
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.
If you have a 2kg pendulum bob that is 6 meters above the ground at its high point and 1 meter at its low point how can you figure the kinetic energy?
Calculate the potential energy at its highest point. Don't use the 6 meters above the ground - use the 5 meter difference from the lowest point. This part of the potential energy gets converted into kinetic energy, when the pendulum is at its lowest point. Just assume that all the potential energy (for the 5 meters difference) get converted into kinetic energy.Calculate the potential energy at its highest point. Don't use the 6 meters above the ground - use the 5 meter difference from the lowest point. This part of the potential energy gets converted into kinetic energy, when the pendulum is at its lowest point. Just assume that all the potential energy (for the 5 meters difference) get converted into kinetic energy.Calculate the potential energy at its highest point. Don't use the 6 meters above the ground - use the 5 meter difference from the lowest point. This part of the potential energy gets converted into kinetic energy, when the pendulum is at its lowest point. Just assume that all the potential energy (for the 5 meters difference) get converted into kinetic energy.Calculate the potential energy at its highest point. Don't use the 6 meters above the ground - use the 5 meter difference from the lowest point. This part of the potential energy gets converted into kinetic energy, when the pendulum is at its lowest point. Just assume that all the potential energy (for the 5 meters difference) get converted into kinetic energy.
As a rocket rises its kinetic energy changes. At the time the rocket reaches its highest point most of the kinetic energy of the rocket has been and mdash?
When an object - rocket or otherwise - rises, its kinetic energy gets converted to gravitational potential energy. At its highest point, if it rises directly upwards, all the kinetic energy will be converted to gravitational potential energy. However, its movement may also have a sideways component; in that case, not all the kinetic energy is converted to potential energy.
Where on a roller coaster is potential energy at the highest?
Potential energy is highest at the dead top of the highest point on the roller coaster. It is lowest at the lowest point. Kinetic energy (motion energy) is highest at the point where the velocity is highest. This depends on the design. A good guess is dead bottom of the longest fall, but on a complex coaster ride there are other possibilities. Also, air resistance and friction can change this.
Pendulum has a gravitational potential energy of 224 J when it is at its highest point At the lowest point in its swing it has a velocity of 4 ms What is the mass of the pendulum?
28 kg
Where in the pendulum is gravitational potential energy highest?
at both ends of the swing, where the bob is the highest
What happens to the gravitational potential energy as the pendulum starts back up towards its highest point?
The pendulum's momentum or kinetic energy is converted to gravitational potential energy until all of the kinetic energy is converted. The pendulum stops.
If you throw a ball into the air where will it have the greatest gravitational potential energy?
The ball has the highest gravitational potential energy when it is at its highest point in the air, as that is when it has a velocity of zero and is up the highest.
What energy does pendulum have?
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.
How does a pendulum work?
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?
Where does the bob have the highest potential energy?
-- 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.
At which point does he have the most gravitational potential energy?
It isn't clear what you mean with "he", but an object's gravitational potential energy is greatest at its highest position.
When does the string of a car on a roller coaster store its maximum gravitational potential energy?
Any object has maximum gravitational potential energy when it is at its highest position.
At the top of the first hill the cart has the highest (Gravitational) Potential Energy?
Yes.
When a ball is throw straight up at what position is its kinetic energy at its maximum and at what position is gravitational potential energy at its maximum?
It's kinetic energy is highest when it is about half way to the top. The gravitational potential energy is highest when it is about to fall back down.
When is the potential energy of a pendulum at its greatest?
The highest point of the pendulums swing is when the potential energy is at its highest and the kinetic energy is at its lowest. Kinetic energy is at its highest when at the lowest point of its swing, or equilibrium position, this is when the potential energy is at zero.
