Can't Sleep

If Only Physics Texts had been this much fun …

.. I might’ve paid more attention in high school and be a wealthier man today …

A two-year-old boy and his irresponsible father are playing on the rocky bank of a creek. The boy picks up a 300g rock and tosses it into the air. The rock comes down directly on top of the boy’s head, but does no permanent harm. The boy cries. The father chuckles.

A year later, the boy and father are again playing by the creek. The boy picks up a 300g rock and tosses it into the air. Because the boy is older and stronger, the rock goes higher into the air, but because the boy’s coordination has not improved over the course of the year that has elapsed since the first incident, the rock again comes down directly on top of the boy’s head.

If the copay for the procedure to close the wound on the boy’s head was $35, how much higher was the boy able to toss the rock?

The exercise of finding the minimum force required to open a gash on a young boy’s head is left to the student.

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