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An astronaut uses a Body Mass Measurement Device to measure her mass. Part A If the force constant of the spring is 3200 N/m, her mass is 65 kg, and the amplitude of her oscillation is 1.7 cm, what is her maximum speed during the measurement

Respuesta :

Answer:

v = 0.119 m/s

Explanation:

Given that,

Force constant, k = 3200 N/m

Mass, m = 65 kg

Amplitude of her oscillation is 1.7 cm i.e. 0.017 m

We need to find her maximum speed during the measurement. Let it is v. It is given by the formula as follows :

[tex]v=\sqrt{\dfrac{k}{m}}A[/tex]

Where,

A is the amplitude

[tex]v=\sqrt{\dfrac{3200}{65}}\times 0.017 \\\\v=0.119\ m/s[/tex]

So, the maximum speed is 0.119 m/s.

onyebuchinnaji

The maximum speed of the astronaut during the measurement is 0.12 m/s.

The given parameters;

  • force constant, k = 3200 N/m
  • mass of the astronaut, m = 65 kg
  • amplitude of the oscillation, A = 1.7 cm = 0.017 m

The maximum speed of the astronaut during the measurement is calculated as follows;

[tex]v = \omega A\\\\v = \sqrt{\frac{k}{m} } \times A\\\\v = \sqrt{\frac{3200}{65} } \times 0.017\\\\v = 0.12 \ m/s[/tex]

Thus, the maximum speed of the astronaut during the measurement is 0.12 m/s.

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