Physics Quiz
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MOTION AND STABILITY
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A playground must be designed so that a child's head deceleration stays below 100 g100\,g in a fall. Model the child as falling from height h=2.0 mh=2.0\,\text{m} and coming to rest over a stopping distance equal to the surface compression depth dd. Ignore air resistance. Candidate surfaces: - Design A: rubber mat, d=0.15 md=0.15\,\text{m} - Design B: wood chips, d=0.30 md=0.30\,\text{m} - Design C: sand, d=0.45 md=0.45\,\text{m} Use v=2ghv=\sqrt{2gh} to find impact speed and then a≈v22da\approx \dfrac{v^2}{2d} to estimate average deceleration. Which surfaces meet the 100 g100\,g requirement?
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