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Writer's picturekeshprad

PhysicsBowl 2018 Q36

36) This problem asks us to find the period of the oscillation produced by the spring. We should start with a force diagram for when the spring is in equilibrium.

Where F[s] is the springs restoring force, and F[g] is the gravitational force

Since the mass is in equilibrium, the net force is 0. Thus we can set up an equation using Hooke's law for the spring's restoring force to solve for the spring constant k.

Where F[s] is the springs restoring force, F[g] is the gravitational force, m is mass, g is the acceleration due to gravity, k is the spring constant, and x is the displacement of the spring

Now, we can use this formula for the period of a spring oscillation.

Where T is period, m is mass, and k is spring constant

Answer: B

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