Explanation:
The given data is as follows.
mass (m) = 0.160 kg, spring constant (k) = 8 n/m,
Maximum speed () = 0.350 m/s
Formula for angular frequency is as follows.
= 7.07 rad/sec
(a) Formula to calculate the amplitude is as follows.
A =
=
= 0.05 m
Hence, value of amplitude is 0.05 m.
(b) Displacement = 0.030 m
Formula for mechanical energy is as follows.
M.E =
Putting the values into the above formula as follows.
M.E =
=
= Joule
For x = 0.03,
As, P.E =
=
=
Hence, calculate the kinetic energy as follows.
K.E = M.E - P.E
= ( -
) J
= J
Thus, we can conclude that kinetic energy of the puck when the displacement of the glider is 0.0300 m is J.