a child's toy consists of a wooden bee attached to a spring. The toy is hung...
a child's toy consists of a wooden bee attached to a spring. The toy is hung from a support and the bee is displaced vertically 7.5 cm from its equilibrium position and released. After oscillating for 1 minute the amplitude has become 2.5 cm The ratio of the total energy of oscillation at the start to the total energy of oscillation after 1 minute is
a. 1/9
b. 1/3
c. 3
d. 9
Homework Answers
Total energy of oscillation is given by:
TE = (1/2)*k*A^2
Initially total energy will be
TEi = (1/2)*k*Ai^2
Ai = Initial Amplitude = 7.5 cm
After one minute total energy will be
TEf = (1/2)*k*Af^2
Af = final Amplitude = 2.5 cm
So, dividing both equations
TEi/TEf = (Ai/Af)^2
TEi/TEf = (7.5/2.5)^2
TEi/TEf = 9
Correct option is D.
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