What is the mass of a 70-kg astronaut floating in space

0.062 m/s

Explanation:

Quantities:

m a = 70 kg

m o = 26 kg

v o f = 1 6 m/s

v a f = ? m/s

v a i = v o i ≡ v i m/s

p a i + p o i = p a f + p o f

m a v a i + mo v o i = m a v a f + m o v o f

(m a + m o) v i = m a v a f + m o v o f

(70 + 26) v i = (70) v a f + (26) (1/6)

96 v i = 70 v a f + 13/3

We can assume that the initial speed of the astronaut is zero for the sake of argument. It says "floating in space", so maybe that actually means 0. The actual initial and final speeds are unimportant, because we are just looking for the change (or difference) in the two speeds.

- 13 / 3 = 70 v a f

v a f = - 0.062 m/s

This means that the astronauts speed will change by 0.062 m/s and the astronaut will move in the opposite direction of the object (hence the minus sign).