Question

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

Answer 1

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 :

$v=\sqrt{\dfrac{k}{m}}A$

Where,

A is the amplitude

$v=\sqrt{\dfrac{3200}{65}}\times 0.017 \\\\v=0.119\ m/s$

So, the maximum speed is 0.119 m/s.