Problems-Centripetal Force PT Zartan of the jungle crosses a river by grabbing a

Question

Problems-Centripetal Force PT Zartan of the jungle crosses a river by grabbing an 8 m lon P7.1) rabbing an 8 m long vine, conveniently hanging from a strong branch, and swinging over the wa Knowing Zartan has a mass of 85 kg (too many coconuts?) and achieves speed of + m/s at the lowest point on the arc of the swing, find A) his acceleration and B) the tension in the vine. ter. P2 A 1900 kg car rounds a horizontal curve that is a section of a circle of radius 70 m. If the car is traveling at 18 m/s, find A) the centripetal acceleration of the car and B) the static friction coefficient needed to keep the car from slipping Pt-s. An oversimplified model of the hydrogen atom has the electron orbiting the nucleus's proton at a distance of approximately 5.29 x 10-1l m. If the electron's speed is about 2.2 x 100 m/s, then A) how much force is needed to keep the electron in a circular orbit? B) Using the results from problem 3-12, compare the required force with the gravitational force of attraction. What does this result imply?

Explanation / Answer

1) l = 8m

m = 85 kg

v = 4 m/s

So T - mg = mv²/l

T = mg + mv²/l

T = 85×9.8 + 85×4²/8 = 1003 N

At the lowest point there will not be any tangential acceleration so centripetal acceleration will be = 1003/85 = 11.8 m/s²

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