The maximum speed of the mass according to the question is 3.95m/s.
We need to exert force in order to accelerate an object. We must labor in order to use force. An item travels with a new constant speed when work is done on it, transferring energy in the process. Kinetic energy is what we refer to as the energy that is transferred, and it is dependent on the mass and speed attained. Kinetic energy is a scalar quantity that can only be fully explained by its magnitude. The kinetic energy unit in the SI is the joule, which is equal to 1 kg.m2.s⁻². The erg is the CGS unit for kinetic energy.
From the question above, we know that :
force constant, k = 27 N/m
mass, m = 0.35 kg
amplitude, A = 0.45 m
By substituting all parameters, we can determine the maximum speed, v:
v = √(k . A² / m)
v = √(27 . 0.45² / 0.35)
v = 3.95 m/s
Hence, the maximum speed of the mass is 3.95 m/s
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