Problem 8--circular motion and projectile motion: tarzan (mass 80 kg) swings at the end of an 8.0-m long vine. when directly under the vines support, he releases the vine and files across a swamp. when he releases the vine, he is 5.0 m above the swamp and 10.0 m horizontally from the other side. determine the force the vine exerts on him at the instant before he lets go (the vine is straight down when he lets go).

1000 N

Explanation:

Let v be the his horizontal speed when he releases the vine and t be the time it takes for him to fly across the swamp and land.

Assume

When he releases the vine, there's only gravity acting on him downward. There's also no vertical velocity at this point.

Therefore, for him to travel 5 m vertically:

Horizontally we have

For Tarzan to achieve this horizontal speed, the centripetal acceleration and force exerting on the vine at the instant before he let go must be

it's when something is going so fast it makes a loud noise, breaking the sound barrier, for example: a jet makes a loud noise, not only cause of the jet but because they reached a point where they went so fast that you can year the noise from various parts, kinda like a police car, lets say the car was going   so fast that you hear the siren of the cop car right next to you, but the car is probably a mile a way, it's cos the siren was next to you a few seconds if you understand me

when jerome paddle in flowing river towards east the net speed of jerome will increase

so the net speed of jerome will be given as

now the speed of paul will be same as it is given as he is running on the ground

so

so here we can say since the speed of jerome is more so he will win the race

now as we know the distance so the time difference is given as

so jerome will reach first and the time difference will be 203.55 s or 3.4 min