Suppose two carts, one twice as massive as the other, fly apart when the compressed spring that joins them is released. How fast does the heavier cart roll compared to the lighter cart?
Answer:
According to Newton's Third Law, the forces on these two masses must be equal (and in opposite directions). According to Newton's Second Law, F = m a, we find a = F / m. That means the acceleration of the twice-as-massive cart will be one-half the acceleration of the other.
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