Help With Spring Constants and Oscillaions

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To determine the minimum compression of the spring needed for a toy car to complete a loop, the problem involves calculating the energy required for the car to maintain contact with the track. The mass of the car is 0.02 kg, and the spring constant is 80 N/m. The loop has a radius of 0.10 m, and gravitational acceleration is given as 10 m/s². The key equations include the angular frequency ω, gravitational force, and the relationship between potential and kinetic energy. The solution requires applying energy conservation principles to find the necessary spring compression.
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Homework Statement



A toy car with mass 0.02 kg is propelled by a spring with a spring constant 80 N/m onto a track. The track. The track contains a loop of radius 0.10m. Ignore any losses dueto friction and use g=10m/s. What is the minimum compression of the spring necessary for the car to complete the loop without leaving the track?


Homework Equations


ω=√k/m x=mg/k T=2π/ω Vt = rω


The Attempt at a Solution

 
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