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Two model rockets are launched using identical engines which exert identical forces. Which law describes why the heavier rocket has a smaller acceleration?

Question

Two model rockets are launched using identical engines which exert identical forces. Which law describes why the heavier rocket has a smaller acceleration?

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Solution

The law that describes why the heavier rocket has a smaller acceleration is Newton's Second Law of Motion. This law states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.

Here are the steps to understand this:

  1. Newton's Second Law of Motion is often written as F=ma, where F is the force applied, m is the mass of the object, and a is the acceleration.

  2. In this case, the force (F) from the engines is the same for both rockets.

  3. However, the mass (m) is different. The heavier rocket has a greater mass.

  4. Since acceleration (a) is inversely proportional to mass (m), this means that as the mass increases, the acceleration decreases, assuming the force stays the same.

  5. Therefore, the heavier rocket has a smaller acceleration because it has a greater mass, according to Newton's Second Law of Motion.

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