Conservation of Momentum homework help

AI Thread Summary
The problem involves a 93 kg astronaut pushing a 1500 kg satellite, resulting in the satellite moving at 0.16 m/s. To solve for the initial distance from the shuttle to the astronaut, the conservation of momentum principle is applied, where the initial momentum equals the final momentum since no external forces are acting. The astronaut's velocity can be calculated using the momentum equation, and then the distance can be determined using the formula distance equals speed multiplied by time. After 7.5 seconds, the astronaut reaches the shuttle, providing the necessary time frame for the calculation. This approach effectively combines momentum conservation with kinematic equations to find the required distance.
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Homework Statement


A 93 kg astronaut and a 1500 kg satellite are at rest relative to the space shuttle. The astronaut pushes on the satellite, giving it a speed of 0.16 m/s directly away from the shuttle. Seven-and-a-half seconds later the astronaut comes into contact with the shuttle. What was the initial distance from the shuttle to the astronaut?


Homework Equations


\sumF= \Deltap/\Deltat

The Attempt at a Solution


 
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You can use the conservation of momentum Pi=Pf when there are no external forces to find the velocity of the astronaut. Then use speed=distance/time to find the distance.
 
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