228k views
2 votes
Tarzan tries to cross a river by swinging from one bank to the other on a vine that is 10.0 m long. His speed at the bottom of the swing is 8.0 m/s. Tarzan does not know that the vine has a breaking strength of 1000 N. What is the largest mass that Tarzan can have and still make it safely across the river?

User Flavaflo
by
5.2k points

1 Answer

2 votes

Answer:

m = 61.7284 kg

Step-by-step explanation:

Given Data

distance= 10.0 m

Speed =8.0 m/s

Force=1000 N

To find

Mass

Solution

From Newtons law of motion which states that"Force is dot product of mass and acceleration"

F=ma

where F is force

m is mass

a is acceleration

And


T-mg=(mv^(2) )/R\\(1000)-m(9.8 )=(m(8)^(2) )/10\\So\\m=61.7284kg

User Nail
by
5.1k points