Question

An adventurous archeologist (m = 87.0 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 7.60 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?

(A.) Yes or No?

SHOW ALL WORK

Answer 1

(a) given data;

mass of archeologist m = 87 kg;

length of vine, r = 11 m;

speed at the bottom of swing v = 7.6 m/s

breaking strength of vine Tmax = 1000 N

Solution:

Since the motion is circular, thus maximum acceleration at the bottom of the swing;

.....................(1)

let the minimum tension in the vine, required to cross the river is T.

Apply Newtons 2nd law of motion;

since minimum tension required is greater than the breaking strength, so archeologist cannot able to cross the river.

Ans: No