14. Neil and Gus are having a competition to see who can launch a marble highest in the air using a spring. Neil has a firm spring with a spring constant of 54.8 N/m and a maximum compression of 12.0 cm. Gus's spring is less firm than Neil's with a spring constant of 13.7 N/m, but its maximum compression is greater at 23.0 cm. The mass of the marble is 4.5 g. a. What is the speed VG of Gus's marble as it leaves his spring? How high does the marble go? b. How high does Neil's marble go? (can you skip the middle step of finding the launch speed?)
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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