Determine the radius R of the hill
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A car travels over a hill at at speed of 30 m/s. At this speed the car just maintains contact with the road. Determine the radius R of the hill. Use g = 10 m/s/s.
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- A military jet is flying at 357 m/s in a tight circular turn. If the military jet reaches a centripetal acceleration of 10.0 times the free-fall acceleration, what must the radius of its turn be?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, h1min, so that the skier/snowboarder jumps or “catches air” at the top of hill 2? Solve for h1min in terms of h2, R, and g. Hint: if the skier/snowboarder jumps, he/she/they lose contact with the snowy ground.A car travels at a constant speed around a circular track whose radius is 3.51 km. The car goes once around the track in 259 s. What is the magnitude of the centripetal acceleration of the car?
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