Question

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two connected carts are pulled across the floor under the influence of a force f. which of the following is true?
treat the acceleration of individual carts separately.
treat the two carts as a single system to find their motion.
treat the motion of the individual carts separately.
treat the two carts as a single system to find the acceleration.
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Explanation:

• Connected carts have the same acceleration, so we don't treat their accelerations separately.
• We can model the two carts as a single system to find the overall acceleration (since the internal forces cancel out in a system analysis).
• We can also analyze each cart individually (looking at forces on each cart, like the tension between them) to study their motion in detail.

Answer:

Treat the two carts as a single system to find the acceleration.
Treat the motion of the individual carts separately.
Treat the two carts as a single system to find their motion.