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Suppose that in a mechanical device an object is accelerated from rest by a constant force over a se

distance. If it were desired to double the resulting speed of the object by changing the set distance
without changing the amount of force applied, by what factor would the set distance need to be
changed?

1 Answer

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Final answer:

To double the resulting speed of the object, the set distance would need to be quadrupled.


Step-by-step explanation:

To double the resulting speed of the object without changing the amount of force applied, the set distance would need to be quadrupled. This is because the distance is directly proportional to the square of the speed achieved when an object is accelerated from rest by a constant force. Therefore, if the resulting speed is doubled, the distance would need to be increased by a factor of (2^2) = 4.


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