A 160g hockey puck swings around on a spring

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SUMMARY

The discussion centers on the dynamics of a 160g hockey puck attached to a spring with a spring constant of 25 N/m, swinging on a frictionless surface. The puck stretches the spring by 10 cm from its equilibrium length of 1 m. To determine the magnitude of the puck's acceleration and velocity, one must apply principles of circular motion and centripetal acceleration, noting that the spring's tension alters the dynamics compared to a rigid string. The key takeaway is that the spring's presence does not change the fundamental calculations for centripetal acceleration.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with centripetal acceleration concepts
  • Knowledge of Hooke's Law and spring constants
  • Basic principles of circular motion
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  • Calculate centripetal acceleration using the formula a = v²/r
  • Explore the implications of Hooke's Law on spring dynamics
  • Investigate the relationship between tension in a spring and circular motion
  • Learn about energy conservation in spring-mass systems
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Physics students, educators, and anyone interested in understanding the mechanics of oscillatory motion and circular dynamics involving springs.

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A 160g hockey puck swings around on the end of a spring on a frictionless surface. One end of the spring is attached to the hockey puck, and the other is attached to a fixed pivot point. The spring has a constant of 25N/m and an equilibrium length of 1m and stretches a distance of 10com.

a.what is the magnitude of the acceleration of the hockey puck?

b. what is the magnitude of the velocity of the hockey puck?

I have no clue how to approach this question due to the spring. If the spring wasn't a part of it i would have an understanding. please help!
 
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Hmm, this is a strange question. Let me clarify something from you, do you know explicitly that the hockey puck is moving in a circle (as I am about to assume)? If so, the fact that there's a spring makes no difference in terms of centripetal acceleration. You'll have a different tension than if the puck were on a rigid string.
 

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