13. A skier/snowboarder starts at rest at the top of a snowy (friction-free) hill with height h₁. After the bottom of this hill there is a small "jump" hill. The top of the jump has height h₂ and a curvature of radius R. What is the minimum height of the starting hill, himin, so that the skier/snowboarder jumps or "catches air" at the top of hill 2? Solve for himin in terms of h2, R, Hint: if the skier/snowboarder jumps, he/she/they loose contact with the snowy ground. and g. h, n₂ jump!

Physics for Scientists and Engineers, Technology Update (No access codes included)
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Chapter13: Universal Gravitation
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Problem 13.73AP
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13. A skier/snowboarder starts at rest at the top of a snowy (friction-free) hill with height h₁. After the
bottom of this hill there is a small "jump" hill. The top of the jump has height h, and a curvature
of radius R. What is the minimum height of the starting hill, himin, so that the
skier/snowboarder jumps or "catches air" at the top of hill 2? Solve for himin in terms of h₂, R,
and g. Hint: if the skier/snowboarder jumps, he/she/they loose contact with the snowy ground.
h₁
to
jump!
Transcribed Image Text:13. A skier/snowboarder starts at rest at the top of a snowy (friction-free) hill with height h₁. After the bottom of this hill there is a small "jump" hill. The top of the jump has height h, and a curvature of radius R. What is the minimum height of the starting hill, himin, so that the skier/snowboarder jumps or "catches air" at the top of hill 2? Solve for himin in terms of h₂, R, and g. Hint: if the skier/snowboarder jumps, he/she/they loose contact with the snowy ground. h₁ to jump!
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