The force constant of a massless spring is 27.0 n/m. a mass of 0.35 kg is oscillating in simple harmonic motion at the end of the spring with an amplitude of 0.45 m. the maximum speed of the mass is:________

Respuesta :

The maximum speed of the mass according to the question is 3.95m/s.

Define kinetic energy.

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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