Help with oscillation problem thanks

AI Thread Summary
The discussion focuses on solving an oscillation problem involving a mass-spring system. The mass is 311 g, the spring constant is 37.2 N/m, and the amplitude of oscillation is 7.6 cm. Key calculations needed include the total energy of the system, the maximum speed of the mass, and the velocity when the displacement is 1.74 cm. The elastic potential energy formula is essential for determining the energy at different points in the oscillation. Understanding these concepts will help in solving the problem effectively.
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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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