A 1.0 kg box is attached to a horizontal spring, which is attahced to a wall and
ID: 1376963 • Letter: A
Question
A 1.0 kg box is attached to a horizontal spring, which is attahced to a wall and will oscillate on a frictionless surface. The following graph shows data collected with a motion detector for the box's velocity at various moments in time after it has been oscillating.
(B) Calculate the max. displacement
(C) At what time is the mass at its max displacement? How do you know these times are those for maximum displacement.
A 1.0 kg box is attached to a horizontal spring, which is attahced to a wall and will oscillate on a frictionless surface. The following graph shows data collected with a motion detector for the box's velocity at various moments in time after it has been oscillating. (A) Calculate the spring constant (B) Calculate the max. displacement (C) At what time is the mass at its max displacement? How do you know these times are those for maximum displacement.Explanation / Answer
Solution: (A) Frequency of oscillation f = 1/T = 1/1.6 = 0.625 s.
So, angular frequency ? = 3.925
We know that ? = (k/m)1/2 or, k = 15.4 N/m
(B) For maximum displacement
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