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TRUE or False: Each of these statements is either true or false...explain why an

ID: 1730179 • Letter: T

Question

TRUE or False: Each of these statements is either true or false...explain why any false statements are false ( give a counter exampleor the case which makes the statement false). Consider a mass-spring system oscillating with no friction.
a. the acceleration of the mass is never zero.
b. the speed of the mass is never zero.
c. the speed of the mass is max when the mass is atequilibrium.
d. The PE of the system is max when the mass is at equilibrium.
e. the acceleration of the mass is always equal to 9.8m/s2 at some point during the oscillation.

Explanation / Answer


b)False - see discussion above, where velocity has zerovalues
c) and d) I'm not sure what is meant by equilibrium. I think this is where the force from the spring is exactlyequal to the force of gravity. If you set this position as 0,these two forces can effectively be ignored as they balance out. The spring force goes positive and negative relative to thisposition. [
If this is the right definition, then c and d are both true. The max velocity is at the zero crossings of position, andmax PE occurs with max velocity