Question

Question 8 2 points Save A cyclist, riding a bicycle at an initial speed vo = 7.00 m/s, goes over a big bump on the road. The height of the bump is h = 2.00 m, and the top of the bump is circular, with a radius R = 4.00 m. The total mass the cyclist and bike is m = 80 kg. Neglecting friction and air resistance, and assuming that the cyclist is not pedaling, calculate: (a) the cyclist's speed Vtop at the top of the bump, and (b) the normal force N felt by the cyclist at the top of the bump. Vtog Va R This question is worth 2 points and awards partial credit if one of the answers is correct. Vtop = 0 m/s N = 784 N top = 3.13 m/s N = 784 N Vtop = 3.13 m/s N = 588 N Vtop = 9.8 m/s N = 784 N Vtop = 9.8 m/s N = 588 N

Answer 1

From conservation Energy I mv² = 1 m ve an + mgh (0) (+) = 1 (20) t (80 x 9•° x 2) І (20) » 12 9 а 3.13 m/s э Vtop | | FBD At top 9 عمده 2. ш Na bu mg- wh R 588 N mv13) - (eos 213) Na (8ox 4-8) - 1) 4

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