# CORKSCREW - PowerPoint PPT Presentation

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CORKSCREW. QUESTION: The roller coaster is at the top of the hill 20m high and moving at a speed of 10m/sec. a ) (assume no friction) How fast will the coaster be moving at the bottom of the hill before going into the loop?.

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CORKSCREW

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## CORKSCREW

### The density of air is 1.75 kg/m3, the area of the coaster is 4m2, and the drag coefficient for the coaster is 0.8.

c) (in a perfect physics world) If the wind starts up after going out of the loop; a drag force is created to stop the coaster. Find the deceleration of the coaster if the coaster is running on a flat track.

### A

Since gravitational potential energy is 0 at the bottom; PE and mass cancels out.

½v2 = ½v2

250 = ½v2

2 x 250 = v2

√500 = v

22.36 = v

### B

PE + KE = PE + KE

Mgh + 1/2mv2 = mgh + 1/2mv2

(9.8)(20) + ½(10)2 = (9.8)(15) + ½ v2

196 + 50 = 147 + ½ v2

2(246-147) = v2

√198 = v

14.07 = v