Question

A 70 kg astronaut throws a 5 kg ball with a velocity of 20 m/s east. What is the velocity of the astronaut?

Answer 1

Given:

A 70 kg astronaut throws a 5 kg ball with a velocity of 20 m/s east. What is the velocity of the astronaut?

Answer:

${v}^{a} = 1.4285 \frac{m}{s}$

Explanation:

From the question we are told that 70 kg astronaut

5 kg ball

A velocity of 29 m/s east

Generally with law of conservation of momentum I place fir a body in space

initial an final momentum must be equal

Therefore

Mb*Vb=Ma*Va

$nb \: = \: massofball \\ vb \: = \: ballvelocity \\ ma \: = \: massofastrnaud \\ va \: = \: astronautvolicty \\ matheticall \: solvingfr \: va. \\ va \: = \: \frac{5star20}{70} \\ va = \: 1.4285 \frac{m}{s} \\ therefore \: the \: astronuts \: volectiy \: relative \: to \: his \: mass \: is \: given \: to \: be \\ va \: = \: 1.4285 \frac{m}{s}$