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An astronaut is floating in space near her shuttle when she realizes that the cord that's supposed to attach her to the ship has become disconnected. Her total mass (body+suit+equipment) is 91kg. She reaches into her pocket, finds a 1 kg metal tool, and throws it out into space with a velocity of 6m/s directly away from the ship. if the ship is 10 m away, how long will it take her to reach it? |
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Answer» Solution :Here, the ASTRONAUT+tool are the system. Because of conservation of linear momentum ltbgt `m_("astronaut")v_("astronaut")+m_("tool")v_("tool")=0` `m_("astronaut")v_("astronaut")=-m_("tool")v_("tool")` `v_("astronaut")=-(m_("tool"))/(m_("astronaut"))v_("tool")` `=-(1kg)/(90KG)(-6m//s)=(1)/(15)m//s` Using distance=rate`xx`time, we FIND `t=(d)/(v)=(10M)/((1)/(15)m//s)=150s=2(1)/(2)`min |
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