A 5.0 kg weight is hanging from an ideal spring with a k of 250N/m. It is pulled .15m from equalibrium. Find it's maximum displacement the elastic potential energy of spring just as the block is being released the maximum speed the block will have during its motion the displacement of the block from equilibrium when the kinetic energy of the block is equal to the elastic potential energy of the spring
Simple harmonic motion
Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.
Simple Pendulum
A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.
Oscillation
In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.
A 5.0 kg weight is hanging from an ideal spring with a k of 250N/m. It is pulled .15m from equalibrium. Find
- it's maximum displacement
- the elastic potential energy of spring just as the block is being released
- the maximum speed the block will have during its motion
- the displacement of the block from equilibrium when the kinetic energy of the block is equal to the elastic potential energy of the spring
The block is then brought to rest at equilibrium. The block is then pulled down half the original distance.
- Will the new period for the motion of the block be greater than, less than, or equal to the original period for the motion of the block?
- Why?
The first block is brought to rest at equilibrium again. An identical block is launched up into the first block. The new block is moving with an initial speed of v=5.0m/s when it collides with and sticks to the original block.
- Calculate the maximum compression of the spring after the collision of the two blocks.
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