An astronaut is on a 150 m life-line circling the spaceship at two revolutions per min. The line is shortened until his speed reaches 40 m/s. How long is the life-line at that time (in m)? (Assume the momentum of inertia of the astronaut is mr2 and think conservation of angular momentum.)
A car with a mass of 1200 kg is traveling at 17 m/s. The driver applies the brakes which provide a frictional force of 7000 N to stop the car. How far does the car then go before stopping?
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