The mass that must be added is 0.628 kg
Explanation:
The period of a mass-spring system is given by
where
m is the mass
k is the spring constant
For the initial mass-spring system in the problem, we have
m = 0.500 kg
T = 1.36 s
Solving for k, we find the spring constant:
In the second part, we want the period of the same system to be
T = 2.04 s
Therefore, the mass on the spring in this case must be
Therefore, the mass that must be added is
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Sound is an example of a longitudinal wave.
We use the radioactive decay equation for this problem which is expressed as:
An = Aoe^-kt
An is the remaining amount after time t, Ao is the initial amount and k is a constant.
First, we determine the k from the half life as follows:
An/Ao = 1/2 = e^-k(14.4)
k = 0.04814
Then, we can calculate An after 28.8 yr.
An = 1000 e^-0.04814(28.8)
An = 250 g
Answer: strength.
Explanation: The simulation made the strength an independent variable and dependent variable.
