Finding displacement with acc and vel

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SUMMARY

The discussion centers on calculating the maximum height a lighter object can achieve when connected to a heavier object via a pulley system. The initial position of both objects is 0.3 meters above ground with an initial velocity of zero. The user has determined that the lighter object will rise to 0.6 meters after the heavier object hits the ground, but seeks guidance on calculating the additional height gained from momentum while accounting for gravitational acceleration. The conservation of energy principle is crucial for solving this problem.

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  • Understanding of basic physics concepts such as kinetic energy and gravitational potential energy.
  • Familiarity with the principles of conservation of energy.
  • Knowledge of pulley systems and their mechanics.
  • Ability to perform calculations involving acceleration due to gravity (9.81 m/s²).
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  • Learn how to apply kinematic equations to problems involving pulleys.
  • Explore the effects of momentum in collision scenarios.
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I'm working on a problem involving pulleys and would appreciate help. I know the initial starting positions of both objects (0.3 m above ground) and their initial velocity which is zero. The question wants me to find the maximum height the lighter object can achieve - i.e. its height even after the heavier object hits the ground, since it will be carried upwards by momentum. I have worked out the velocity of both objects, which are same magnitude and opposite directions, through equating kinetic energy and work done by gravity (since I know both their masses). I can also presume that, when the heavier object hits the ground, the lighter would have been lifted up by 0.3m, making it a total of 0.6m. I am just having problems with the additional height the lighter object travels through momentum, since I need to take into account the downward acceleration by gravity. (I am not given any information regarding time). Any advice on how to approach this would be appreciated.
 
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