Help with oscillation problem thanks

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SUMMARY

The discussion focuses on solving an oscillation problem involving a mass-spring system. A mass of 311 g connected to a spring with a force constant of 37.2 N/m oscillates with an amplitude of 7.6 cm. Key calculations include determining the total energy of the system, the maximum speed of the mass, and the velocity at a specific displacement of 1.74 cm. The elastic potential energy (PE) formula is crucial for these calculations.

PREREQUISITES
  • Understanding of Hooke's Law and spring constants
  • Knowledge of kinetic and potential energy concepts
  • Familiarity with oscillatory motion principles
  • Ability to perform calculations involving energy conservation
NEXT STEPS
  • Calculate total mechanical energy in a mass-spring system
  • Learn about the relationship between amplitude and maximum speed in oscillations
  • Explore the elastic potential energy formula: PE = 1/2 k x²
  • Investigate the effects of mass and spring constant on oscillation frequency
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and oscillatory motion, as well as educators seeking to explain mass-spring systems.

jlin94
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help with oscillation problem! thanks

i have no idea how to do this. could someone please explain how to do this. thank you, really appreciate it

A mass of 311 g connected to a light spring
of force constant 37.2 N/m oscillates on a
horizontal, frictionless track. The amplitude
of the motion is 7.6 cm.

1. Calculate the total energy of the system.
Answer in units of J

2. What is the maximum speed of the mass?
Answer in units of m/s

3. What is the magnitude of the velocity of
the mass when the displacement is equal to
1.74 cm?
Answer in units of m/s
 
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When the spring is fully extended, the mass is at rest. Hence at this point in time there is no KE and the energy is fully due to the elastic PE of the spring.
Do you know the formula for the elastic PE of a spring?
 

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