4. A 60 kg woman, standing in the center of a circular frozen lake with a diameter of 100 meters, finds herself unable to walk to the shore as there is no friction between her and the lake ice. Fortunately she has in his possession a 1 kg revolver loaded with six .44 Magnum shells, each weighing 300 grams. A) In quick succession (effectively instantaneously) she fires off all 6 rounds (bullets) while aiming the gun due east. If the speed of each of the bullets is 400 m/s, how soon after firing will she reach the lake shore? B) If instead she had fired 2 rounds due east and 4 rounds towards the southwest, how soon would she have reached the shore? C) In each case, what is the center of momentum velocity, relative to the lake, of the whole women+gun+bullets system after she fires the gun?

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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4. A 60 kg woman, standing in the center of a circular frozen lake with a diameter of 100 meters,
finds herself unable to walk to the shore as there is no friction between her and the lake ice.
Fortunately she has in his possession a 1 kg revolver loaded with six .44 Magnum shells, each
weighing 300 grams.
A) In quick succession (effectively instantaneously) she fires off all 6 rounds (bullets) while
aiming the gun due east. If the speed of each of the bullets is 400 m/s, how soon after firing
will she reach the lake shore?
B) If instead she had fired 2 rounds due east and 4 rounds towards the southwest, how soon
would she have reached the shore?
C) In each case, what is the center of momentum velocity, relative to the lake, of the whole
women+gun+bullets system after she fires the gun?
Transcribed Image Text:4. A 60 kg woman, standing in the center of a circular frozen lake with a diameter of 100 meters, finds herself unable to walk to the shore as there is no friction between her and the lake ice. Fortunately she has in his possession a 1 kg revolver loaded with six .44 Magnum shells, each weighing 300 grams. A) In quick succession (effectively instantaneously) she fires off all 6 rounds (bullets) while aiming the gun due east. If the speed of each of the bullets is 400 m/s, how soon after firing will she reach the lake shore? B) If instead she had fired 2 rounds due east and 4 rounds towards the southwest, how soon would she have reached the shore? C) In each case, what is the center of momentum velocity, relative to the lake, of the whole women+gun+bullets system after she fires the gun?
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