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What is the Spring Constant?

A 237 g air-track glider is attached to a spring. The glider is pushed in 8.64 cm against the spring, then released. A student with a stopwatch finds that 14 oscillations take 13.94 s.

What is the spring constant?


Known variables:


mass m = 237 g
= 0.237 kg
time taken for 14 oscillations
= 13.94 s
Time taken for 1 oscillation
= 13.94 / 14  s
T= 0.9957 s
T= 2p v( m / k )
spring constant  k
=( 2p / T ) 2 x m
= 9.437  N / m
=10 N/m

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