A 30.0-g object connected to a spring with a force constant of 20.0 N/m oscillat

Question

A 30.0-g object connected to a spring with a force constant of 20.0 N/m oscillates with an amplitude of 5.00 cm on a frictionless, horizontal surface. Find the total energy of the system. Find the speed at the object when its position is 1.30 cm Find the when its position is 2.50 cm. Find the potential energy when its position is 2.50 cm. A simple pendulum makes 123 complete oscillations in 2.50 min at a location where g=9.80 m/s^2. Find the period of the pendulum. Find the length of the pendulum.

Explanation / Answer

a) Period of pendulum,T =2.5*60/123 = 1.2195 s

b) T = 2pi sqrt [L/g]

1.2195/6.28 = sqrt[L/g]

L = g*(1.2195/6.28 )^2 =9.8*(1.2195/6.28 )^2 =0.37 m

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