Questions
At what displacement is the kinetic energy of a particle performing simple harmonic motion of amplitude 10 cm is three times it’s potential energy?
a
10 cm
b
5 cm
c
15 cm
d
20 cm
detailed solution
Correct option is B
KE=3(PE)we know,Kinetic energy KE, Potential energy PE as KE=12mω2A2-x2 PE=12mω2x2 by the question, KE = 3 PE ⇒12mω2A2-x2=32mω2x2 on simplification, A2=4x2 ⇒x=A/2 Given A=10 cm ∴x=102=5cmTalk to our academic expert!
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When the displacement is half the amplitude, the ratio of potential energy to the total energy is
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