An astronaut with a mass of #80 kg# is floating in space. If the astronaut throws an object with a mass of #32 kg# at a speed of #1/5 m/s#, how much will his speed change by?

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Answer 1 · 2018-05-04T09:12:04

The change in the speed of the astronaut is #=0.08ms^-1#

#m_1u_1+m_2u_2=m_1v_1+m_2v_2#

The mass of the astronaut is #m_1=80kg#

The mass of the object is #m_2=32kg#

As the astronaut is floating in space initially,

#u_1=u_2=0ms^-1#

The speed of the object is #v_2=1/5ms^-1#

Therefore,

#80v_1+32*1/5=0#

The speed of the astronaut is #v_1=-(32*1/5)/(80)=-0.08ms^-1#