Wednesday, January 25, 2012

Tarzan tries to cross a river by swinging from one bank to the other on a vine that is 10.4 m long....?

Tarzan tries to cross a river by swinging from one bank to the other on a vine that is 10.4 m long. His speed at the bottom of the swing, just as he clears the surface of the river, is 8.4m/s. Tarzan does not know that the vine has a breaking strength of 1e3 N. The acceleration of gravity is 9.81 m/s2. What is the largest mass Tarzan can have and make it safely across the river? Answer in units of kg.

Tarzan tries to cross a river by swinging from one bank to the other on a vine that is 10.4 m long....?
M V^2 / L = T - Mg

M {[V^2/L] + g ] = T



M = T / {V^2/L + g] = 1e3 *10.4 / { 8.4^2 +10.4 *9.8}

M = 60.29 kg.


No comments:

Post a Comment