SOLUTION: Please help me solve this following word problem: If a coil spring is stretched 1.5m beyond its resting point and then released it will return to a point which is 90% of the previo

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Please help me solve this following word problem: If a coil spring is stretched 1.5m beyond its resting point and then released it will return to a point which is 90% of the previo      Log On


   



Question 388828: Please help me solve this following word problem: If a coil spring is stretched 1.5m beyond its resting point and then released it will return to a point which is 90% of the previous distance from the resting point. How many vibrations are required before the spring moves less than 10cm from its resting point?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If a coil spring is stretched 1.5m beyond its resting point and then released it will return to a point which is 90% of the previous distance from the resting point. How many vibrations are required before the spring moves less than 10cm from its resting point?
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1.5m = 1.5*100 = 150 cm
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Solve: 0.09^t*150 cm < 10cm
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0.9^t < 1/15
t < log(1/15)/log(0.9)
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t < 25.7 (# of vibrations required)
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Cheers,
Stan H.