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A box, compressing a spring by 4 m, is loaded and ready. Moments later the 8.0 kg box has been launched with a speed of 10.0 m/s across a frictionless surface. Find the spring constant of the spring used
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A box, compressing a spring by 4 m, is loaded and ready. Moments later the 8.0 kg box has been launched with

a speed of 10.0 m/s across a frictionless surface. Find the spring constant of the spring used at the beginning of
the problem.

User Eric Brandt
by
4.7k points

1 Answer

5 votes

Answer:

50 N/m

Step-by-step explanation:

Elastic energy = kinetic energy

EE = KE

½ kx² = ½ mv²

½ k (4 m)² = ½ (8.0 kg) (10.0 m/s)²

k = 50 N/m

User Vladimir Vukanac
by
5.2k points
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