Earth's tectonic activity is a significant factor that made life on Earth possible because the movement of Earth's crustal plate
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Answer:
|v| = 8.7 cm/s
Explanation:
given:
mass m = 4 kg
spring constant k = 1 N/cm = 100 N/m
at time t = 0:
amplitude A = 0.02m
unknown: velocity v at position y = 0.01 m
1. Finding Ф from the initial conditions:
2. Finding time t at position y = 1 cm:
3. Find velocity v at time t from equation 2:
The force of F=10 N produces an extension of
on the string, so the spring constant is equal to
Then the string is stretched by
. The work done to stretch the string by this distance is equal to the variation of elastic potential energy of the string with respect to its equilibrium position:
on the string, so the spring constant is equal to
Then the string is stretched by