A particle with mass 2.59 kg oscillates horizontally at the end of a horizontal spring. A student measures an amplitude of 0.897 m and a duration of 127 s for 71 cycles of oscillation. Find the frequency, f, the speed at the equilibrium position, vmax, the spring constant, k, the potential energy at an endpoint, Umax, the potential energy when the particle is located 45.1% of the amplitude away from the equiliibrium position, U, and the kinetic energy, K, and the speed, v, at the same position.

Principles of Physics: A Calculus-Based Text
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Chapter12: Oscillatory Motion
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Problem 17P: A block of unknown mass is attached to a spring with a spring constant of 6.50 N/m and undergoes...
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A particle with mass 2.59 kg oscillates horizontally at the end of a horizontal spring. A student measures an amplitude of
0.897 m and a duration of 127 s for 71 cycles of oscillation. Find the frequency, f, the speed at the equilibrium position, vmax,
the spring constant, k, the potential energy at an endpoint, Umax, the potential energy when the particle is located 45.1% of the
amplitude away from the equiliibrium position, U, and the kinetic energy, K, and the speed, v, at the same position.
f =
0.559
Hz
Umax
m/s
k =
31.958
N/m
U max
12.856
J
U =
J
K =
J
V =
m/s
Transcribed Image Text:A particle with mass 2.59 kg oscillates horizontally at the end of a horizontal spring. A student measures an amplitude of 0.897 m and a duration of 127 s for 71 cycles of oscillation. Find the frequency, f, the speed at the equilibrium position, vmax, the spring constant, k, the potential energy at an endpoint, Umax, the potential energy when the particle is located 45.1% of the amplitude away from the equiliibrium position, U, and the kinetic energy, K, and the speed, v, at the same position. f = 0.559 Hz Umax m/s k = 31.958 N/m U max 12.856 J U = J K = J V = m/s
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