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

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) (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?
------
1.5m = 1.5*100 = 150 cm
---
Solve: 0.09^t*150 cm < 10cm
---
0.9^t < 1/15
t < log(1/15)/log(0.9)
---
t < 25.7 (# of vibrations required)
==================
Cheers,
Stan H.
RELATED QUESTIONS
How can I approach in solving this following question: If a coil spring is stretched... (answered by scott8148)

Hi! I'm having trouble with part "c" on this word problem: Hooke's Law states that... (answered by scott8148)

Please help me solve this problem: a spring with a spring constant K = 3 newton per... (answered by Fombitz)

CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM: The length a spring is stretched from... (answered by scott8148)

PLEASE HELP ME I've been working on the same problem for over an hour and I'm still... (answered by Earlsdon)

Please help me solve this word problem: A ladder is resting against a wall. The top of (answered by checkley71)

Please help me solve this word problem: the width of a rectangle is 1 centimeter less... (answered by sudhanshu_kmr)

Please help me solve the problem If the sum of the distance of a point from two... (answered by ikleyn)

The force that a coil exerts on an object is related to the distance that the coil is... (answered by rfer)