A mass m = 50 g is suspended from a spring with spring constant k 8.0 N/m. 1. Determine the force acting on the mass when it is displaced 8 cm from its equilibrium position. If the mass is then released, what is the period of oscillation? What is the frequency?

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A mass m =
50 g is suspended from a spring with spring constant k
8.0 N/m.
1. Determine the force acting on the mass when it is displaced 8 cm from its equilibrium
position. If the mass is then released, what is the period of oscillation? What is the
frequency?
2. What is the expression for the uncertainty in the total energy Etot of equation 4.6?
Assume an uncertainty in k of dk, uncertainty in m of dm, uncertainty in x of dx
and an uncertainty in v of dv. Assume g is perfectly known (i.e., ôg = 0). Refer to
the section on Uncertainty Calculations in the introduction, Section 0.2.2, for more
details. (Hint: first compute the uncertainties of the three terms in the sum, then add
the uncertainties in the sum together.)
6.
Transcribed Image Text:A mass m = 50 g is suspended from a spring with spring constant k 8.0 N/m. 1. Determine the force acting on the mass when it is displaced 8 cm from its equilibrium position. If the mass is then released, what is the period of oscillation? What is the frequency? 2. What is the expression for the uncertainty in the total energy Etot of equation 4.6? Assume an uncertainty in k of dk, uncertainty in m of dm, uncertainty in x of dx and an uncertainty in v of dv. Assume g is perfectly known (i.e., ôg = 0). Refer to the section on Uncertainty Calculations in the introduction, Section 0.2.2, for more details. (Hint: first compute the uncertainties of the three terms in the sum, then add the uncertainties in the sum together.) 6.
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