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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
To find the mass of the pendulum, we need to use the conservation of energy principle. At the lowest point of the swing, all of the potential energy is converted to kinetic energy. So, equating the two energies we have: mgh = 1/2 mv^2. By substituting the given values, we can solve for the mass of the pendulum.
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Where is a pendulum the fastest?
A pendulum is fastest at the lowest point of its swing, where its kinetic energy is maximum. At this point, all the potential energy has been converted into kinetic energy, resulting in the highest speed of the pendulum.
What happen to simple pendulum at lowest point of its swing?
At the lowest point of its swing, a simple pendulum's velocity is at its maximum, and its potential energy is at its minimum. The kinetic energy is at its highest since the pendulum has the highest speed.
What happens to the acceleration of a simple pendulum as it approaches the lowest point of its swing?
The acceleration of a simple pendulum is highest at the lowest point of its swing. At the lowest point, the gravitational force acting on the pendulum is at its maximum, causing the pendulum to accelerate most rapidly in the direction of the force.
Where will you locate on a pendulum or roller coaster the greatest potential and greatest kinetic energy?
The greatest potential energy will be located at the highest point of the pendulum or roller coaster, when the object is farthest from the ground. The greatest kinetic energy will be located at the lowest point of the pendulum or roller coaster, when the object is moving fastest.
What is the same has kinetic?
Potential energy can be converted into kinetic energy, as seen in a swinging pendulum where potential energy at the highest point is converted into kinetic energy at the lowest point.
Where in the pendulum is gravitational potential energy highest?
Gravitational potential energy is highest at the highest point of the pendulum's swing, usually at the top of its arc. At this point, the pendulum possesses the maximum potential energy stored due to its position in the Earth's gravitational field.
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?
To find the mass of the pendulum, we need more information such as the height of the highest point and the length of the pendulum. With the given information, we cannot determine the mass of the pendulum. The mass of the pendulum depends on various factors including its potential energy, velocity, and dimensions.
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.
Why is the kinetic energy the highest at point b in a pendulum?
Kinetic energy is highest at point b in a pendulum because this is the lowest point in the swing where the velocity of the pendulum bob is highest due to the conversion of potential energy into kinetic energy as the pendulum falls. At the highest point, the potential energy is at its maximum and kinetic energy is at its minimum.
On the diagram of the moving pendulum label the places where the pendulum has maximum potential energy and work to maximum get Kinetic Energy?
At the highest point of the swing, the pendulum has maximum potential energy since it is at its highest position. The pendulum has maximum kinetic energy at the lowest point of the swing since it is moving with the highest velocity at this point.
Does a pendulum have energy?
Yes, a pendulum has kinetic energy as it swings back and forth due to its motion. At the highest point in its swing, the pendulum has potential energy due to its position in the Earth's gravitational field.
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.
At what position does a pendulum bob reach its maximum velocity?
The pendulum bob reaches its maximum velocity at the bottom of its swing, when it is passing through the equilibrium position. At this point, all the potential energy has been converted into kinetic energy, resulting in the highest velocity.
Can you calculate the gravitational potential energy of a pendulum?
To calculate the gravitational potential energy of a pendulum at its highest point, you can use the formula: PE = mgh, where m is the mass of the pendulum, g is the acceleration due to gravity, and h is the height of the pendulum above its lowest point.
What could gravitational potential energy objects be?
Gravitational potential energy is the energy an object possesses due to its position in a gravitational field. Objects like a book on a shelf, a pendulum at its highest point, or a ball held above the ground all have gravitational potential energy. This energy can be converted into kinetic energy when the object is in motion.
Where is a pendulum the fastest?
A pendulum is fastest at the lowest point of its swing, where its kinetic energy is maximum. At this point, all the potential energy has been converted into kinetic energy, resulting in the highest speed of the pendulum.
What happen to simple pendulum at lowest point of its swing?
At the lowest point of its swing, a simple pendulum's velocity is at its maximum, and its potential energy is at its minimum. The kinetic energy is at its highest since the pendulum has the highest speed.
