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both will have same kinetic energy ,so forward velocity will be lower for Bowling ball , the time to go up then down to the ground under gravity will be the same for both, so distance = velocity * time , so lighter (Golf)ball will travel further because its velocity is higher

second thoughts,

assume launch angle same for both, ball with greater launch velocity will travel further. (laws of ballistics)

if work done on ball (f * d) is same on both , the lighter ball will have greater launch velocity, though both will have same kinetic energy at launch

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Q: Explain using Newton's second law Why can you throw a golf ball further than a bowling ball even though you throw both at the same angle and with the same amount of force?
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