Question

Two astronauts, each having a mass of 65.5 kg, are connected by a 12 m rope of negligible mass. They are isolated in space, orbiting their center of mass at speeds of 5.13 m/s. Calculate the magnitude of the initial angular momentum of the system by treating the astronauts as particles

Answer 1

Step-by-step explanation:

Formula to calculate the angular momentum is as follows.

L = mvr

where, m = 65.5 kg

v = 5.13 m/s

r = 12 m

Therefore, calculate the angular momentum as follows.

L = mvr

=
`65.5 kg * 5.13 m/s * 12 m`

= 4032.18
`kg m^(2)/s`

Therefore, we can conclude that the magnitude of the initial angular momentum of the system by treating the astronauts as particles is 4032.18
`kg m^(2)/s`.