- #26

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solutions:

since it told u that the the vine could safetly support combined weight of Tarzan, Jane and Cheeta

therefore, the maximum tension force is the combined weight.

Assuming the mass of Cheeta is m, then Jane is 2m, therefore Tarzan is 4m.

so the maximum tension equals to T=m+2m+4m= 7m

According to Newton's second law, F(net)= mass times acceleration

and F(net)= 7mg-2mg=5mg

so 5mg= 2ma

therefore, the acceleration is 5mg/ 2m=2.5g (g=9.8m/s^2)

since the length of the vine is 60m, therefore the displacement is 60m

because: d= v(initial)t+(1/2)a(t)^2,the initial velocity equals zero.

therefore, t=2.2s