1. A mass is hanging at rest on a spring attached to the ceiling. You pull it do
ID: 2122726 • Letter: 1
Question
1. A mass is hanging at rest on a spring attached to the ceiling. You pull it down several centimeters and release it. Describe the changes in the elastic potential energy, gravitational potential energy, and kinetic energy of the spring-mass system as the mass rises from its lowest point to its highest point.
2. A string is stretched taut between two supports. An electronic oscillator is touching one end of the string, generating waves at a frequency of 10 Hz. Explain why increasing the oscillator's frequency to 20 Hz will change the wavelength of the waves on the string, but not their speed along the string.
3. You have a spring-loaded projectile launcher. Aim it straight upwards, compress the spring 1 cm, then launch a projectile from rest. You find that it rises 20 cm above the end of the spring. If you repeat this experiment, but instead compress the spring by 2 cm, the projectile will rise more than 40 cm above the end of the spring. Explain why.
Explanation / Answer
1) lowest point ---- gravitational potential enrgy of the mass minimumat this point the spring potential energy is max imim and thi s is converted to kinetic enrgy of the mass as it erises and at the highest point the gravitational potential enrgy is maximum,kinetic enrgy is zero and spring potential enrgy is also maximumthe spring potential enrgy is zero at the equilibrium height and at this point the kinetic enrgy is maimum
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