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Unformatted text preview: (B) What is the maximum acceleration? The maximum acceleration occurs when the ball is at rest at its lowest height when the force is N m m N kx F 1000 2 . / 5000 . Since F=ma we then have g ms kg N m F a 20 200 5 / 1000 / 2 SOLVING PROBLEM 4 A 5 g M16 bullet traveling horizontally at 1 km/s hits a 0.995 kg mass hanging at rest from a 10 m string. How high does the mass rise after the impact? What do you know? Momentum will be conserved even though most of the kinetic energy of the bullet is turned into splinters. So Momentum before ( ) equals momentum after ( ). s kgm mv P / 5 1 ' 2 Mv P After the bullet stops in the wood, the kinetic energy of the log + bullet is J kg s m kg M v m M P M P K 5 . 12 2 / 25 2 / 2 / 2 / 2 2 2 2 2 2 1 2 2 . The log swings till it rises to a height h such that Mgh =12.5 J. Thus h = 12.5 J/ mg =1.25m....
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 Spring '04
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