An adventurous archeologist (m = 80.5 kg) tries to cross a river by swinging from a vine. The vine is 11.0 m long, and his speed at the bottom of the swing is 7.80 m/s. The archeologist doesn't know that the vine has a breaking strength of 1,000 N. Does he make it safely across the river without falling in?

Question

Melissa Wang

Physics

10 February, 08:23

An adventurous archeologist (m = 80.5 kg) tries to cross a river by swinging from a vine. The vine is 11.0 m long, and his speed at the bottom of the swing is 7.80 m/s. The archeologist doesn't know that the vine has a breaking strength of 1,000 N. Does he make it safely across the river without falling in?

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Answers (1)

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Mikayla Gross · Answer 1

He made it, he across safely the river without falling ing.

Explanation:

Vt = 7.8 m/s

r = 11m

m = 80.5 kg

Vt = ω * r

ω = 0.71 rad/s

ac = ω² * r

ac = 5.54 m/s²

F = m * ac

F = 445.97 N < 1,000 N