(a) What is the spring constant of this spring? (b) Write the position as a function of time. (c) What is the position of this block when the potential energy is a third of the kinetic energy.

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(2) A 3.64kg block is attached to a horizontal spring and oscillates with angular frequency
of w =
7.63rad/s. At t
3.71s, the acceleration is a =
= -5.65m/s² while moving in the
%3D
negative direction. The maximum speed that the block reaches is vmax = 3.99m/s.
(a) What is the spring constant of this spring?
(b) Write the position as a function of time.
(c) What is the position of this block when the potential energy is a third of the kinetic
energy.
(d) Consider a long rod with the same mass as the block above. If this physical pendulum
oscillates about its end with the same angular frequency as above, how long is the pendulum?
Note: (I = mL?)
Transcribed Image Text:(2) A 3.64kg block is attached to a horizontal spring and oscillates with angular frequency of w = 7.63rad/s. At t 3.71s, the acceleration is a = = -5.65m/s² while moving in the %3D negative direction. The maximum speed that the block reaches is vmax = 3.99m/s. (a) What is the spring constant of this spring? (b) Write the position as a function of time. (c) What is the position of this block when the potential energy is a third of the kinetic energy. (d) Consider a long rod with the same mass as the block above. If this physical pendulum oscillates about its end with the same angular frequency as above, how long is the pendulum? Note: (I = mL?)
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