Asked by shawn
At the grocery store, you place some produce onto a scale that has a vertically hung spring supporting the produce. The spring has a spring constant of 16 N/m. Your produce bobs up and down with an amplitude of 20 cm, and the maximum speed it reaches is 0.4 m/s. How much does your produce weigh?
Answers
Answered by
Elena
x=A•sinωt,
v=dx/dt=A•ω•cosωt =v(max) •cosωt,
v(max)= A•ω,
ω = v(max)/A=0.4/0.2=2 rad/s.
ω²=k/m,
m= k/ω² =16/2²=4 kg,
Weight = mg =4•9.8=39.2 N.
v=dx/dt=A•ω•cosωt =v(max) •cosωt,
v(max)= A•ω,
ω = v(max)/A=0.4/0.2=2 rad/s.
ω²=k/m,
m= k/ω² =16/2²=4 kg,
Weight = mg =4•9.8=39.2 N.
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