a) In terms of the variables given in the problem statement, find an equation for the speed of the bullet, v, just before it hits the block. b) What is the speed, in meters per second, of the bullet before it enters the block? c) What is the frequency, in hertz, of the resulting periodic motion of the block/bullet and spring system?
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.
Chapter 16: Problem 6: A massless spring, with force constant k=181N/m, connects a wall and a block of wood. The system is initially at rest with the spring neither stretched nor compressed. The block has mass M=60.2g and is free to move without friction on a table. A gun is positioned to fire a bullet of mass m=5.36g into the block along the spring axis. After the gun is fired, the bullet gets embedded in the block, and the spring is compressed a maximum distance d=0.837m.
a) In terms of the variables given in the problem statement, find an equation for the speed of the bullet, v, just before it hits the block.
b) What is the speed, in meters per second, of the bullet before it enters the block?
c) What is the frequency, in hertz, of the resulting periodic motion of the block/bullet and spring system?
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 5 images
