3. Before: m₁ After: m₂ 1 | Ax co m₁+m₂ a) Measurements on a spring reveal that a force of 0.75 N will compress the spring by 0.25 cm. Find the spring constant of this spring, k. b) This spring is now mounted horizontally with a block of wood attached to one end. A bullet with mass m₁=0.008 kg and velocity v₁ is fired horizontally into the block of wood. The wood block has mass m₂=0.992 kg and is initially at rest. The bullet embeds itself in the wood and the spring is compressed by 2 cm before it comes to rest momentarily. c) Find the velocity of the block/bullet combination directly after the collision needed to compress this spring by Ax=2 cm. d) Find the initial velocity of the bullet before the collision, V₁. Hint: Is the collision elastic or inelastic?
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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