Multiple Choice
When a spring is stretched and then released, it oscillates according to two laws of physics: Hooke's Law and Netwon's Second Law. These two laws combine to form the following differential equation in the case of free, undamped oscillation: where m is the mass of an object attached to the spring, x is the distance the spring is stretched beyond its standard length with the object attached (its equilibrium point) , t is time, and k is a constant associated with the strength of the spring. Consider a spring with
from which is hung a 68-pound weight. The spring with the weight attached stretches to its equilibrium point. The spring is then pulled 3 feet farther than its equilibrium and released. Write a differential equation describing the acceleration of the spring with respect to time t measured in seconds. Use the fact that
, where g is the gravitational constant 32 feet per second per second.
A) feet per second per second
B) feet per second per second
C) feet per second per second
D) feet per second per second
E) feet per second per second
Correct Answer:

Verified
Correct Answer:
Verified
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