4) A 7 gr bullet is fired into a 750 gr block of wood which is at rest on a frictionless table (Isolated System) and attached to a spring with a spring constant of 8000 N/m. The bullet has a velocity of 720 m/sec and is trapped inside the block of wood. a) What is the velocity of the block before the collision? b) What is the velocity of the block/bullet after the collision? c) What is the Amplitude of the resulting SHM? d) What is the kinetic energy after the collision?
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.
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The mass of the bullet,
The mass of the block,
The initial velocity of the bullet,
The spring constant,
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