An astronaut whose mass is 80. kg carries an empty oxygen tank with a mass of 10. kg. the astronaut throws the tank away with a speed of 2.0 m/s. with what velocity does the astronaut start to move off into space?

v' = -0.25 m/s

Explanation:

given,

mass of the astronaut,M = 80 kg

mass of the oxygen tank, m= 10 Kg

speed at which tank is thrown, v= 2 m/s

using conservation of momentum

( M+ m ) u = M v' + m v

initial velocity of the system is zero

     0 = 80 x v' + 10 x 2

     v' =

     v' = -0.25 m/s

negative sign represent that the speed of the astronaut is in opposite direction to motion of cylinder.

Speed of the astronaut is equal to 0.25 m/s

hotter stars = bluer stars

here we know that ball will drop down by total distance 3.2 m

so here we know that

now using kinematics

now in the same time it will cover horizontal distance of 0.75 m

so speed of the ball will be