(Solution) - A rock band s tour bus mass M is accelerating away -(2025 Original AI-Free Solution)

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A rock band's tour bus, mass M, is accelerating away from a STOP sign at rate a when a piece of heavy metal, mass M/6, falls onto the top of the bus and remains there.
a. Show that the bus's acceleration is now 6/7a.
b. If the initial acceleration of the bus is 1.2 m/s2, show that when the bus carries the heavy metal with it, the acceleration will be 1.0 m/s2.