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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.
What else can I help you with?
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.
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 happens to the acceleration of a simple pendulum as it approaches the lowest point of its swing?
The velocity reaches a maximum, and the pendulum will begin to decelerate. Because the acceleration is the derivative of the velocity, and the derivative at the location of an extrema is zero, the acceleration goes to zero.
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.
Where does the water have its maximum kinetic energy and minimum gravitational energy?
The water has its maximum kinetic energy at the bottom of a waterfall where its velocity is highest. It has minimum gravitational energy at the top of the waterfall before it starts to fall, as it has not yet gained significant potential energy from being at a higher elevation.
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.
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.
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.
Can you calculate the gravitational potential energy of a pendulum?
the pendulums gravitational energy refers to the gravitational energy of the bob (the string is considered to be mass less) the energy calculated for practical purposes is considering the mean position of the pendulum as the state of zero energy. but aesthetically the gravitational (potential) energy of a body only depends on its distance from the centre of the earth. the energy is equal to (gravitational constant(G))*(mass of earth)*(mass of bob) /(distance of bob from earths centre)
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.
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.
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.
