A60kg astronaut (including spacesuit and equipment), is floating at rest a distance of 13 m from the spaceship when she runs out of oxygen and fuel to power her back to the spaceship. she removes her oxygen tank (3.0 kg) and flings it away from the ship at a speed of 15 m/s relative to the ship. part a at what speed relative to the ship does she recoil toward the spaceship?

The speed relative to the spaceship  when she try to reach it is 0.78m/s

Explanation:

To solve this problem it is necessary to apply the concepts related to energy conservation, in which the mass and velocity of the object must be equal to the mass released and the velocity acquired by the astronaut.

The equation given to solve the problem is given by:

Where,

Mass without tank

Velocity of the astronaut

Mass removed

velocity of the removed mass

Our dates are given by,

Replacing the values

Therefore the speed relative to the spaceship  when she try to reach it is 0.78m/s

well, you would divide 135 by 33 to get your answer. then that is how many seconds it would take. boardman should fly about 132 m or 4.090909090909091 seconds.