I really , I don't know how to go about figuring out this problem

[AlaniRivers]

Tarzan, played by Patrick Huard, 60 kg, must cross a stream
5 m wide, and full of hungry crocodiles. To do this,
decides to slide along a sloping tree trunk, hollowed
and moist so that there is no friction. After the trunk,
there is a part of 3 m platform covered in mud, with a
coefficient of kinetic friction of 0.3 leading to the edge of
stream. It clings so, without jumping to a vine rigid
8 m with a massless, free to rotate (without friction), in
lower end which is just below where it is
attached (the vine hangs). The vine and he traveled an arc
above the stream. Tarzan must release the vine when
stops momentarily and land, dry, on the other side of
stream!
a) You must ensure that nothing bad will happen to
Tarzan, and for this you must select the tree trunk to be used (starting height of Tarzan).
b) The actor who plays the role of Tarzan wants to land on a chair mounted on a spring so as not to injure,
is stipulated in his contract. This chair is 1 m above the ground and is attached to a spring
can undergo a maximum compression of 0.3 m. What should be the spring constant of the spring to avoid damage to the actor?

 

[Simon Bridge]

You have to work out the initial height actor A starts out in order to get him across the river ... as well as the strength of the spring which will catch him.

You have drawn a picture of the process right?
That's the first step.

He'll slide down a slope, then along a 3m horizontal.
You don't know how long the slope is or the angle of the slope, but you are asked about it'd height ... this is a clue: conservation of energy.

In fact - that's your approach for the whole thing.

 

[AlaniRivers]

I got that I had to use conservation of energy but won't I be left with too many unknowns to solve the height?

 

[Simon Bridge]

Well walk your way through it.
You can work out the energy lost on the mud part, and you know how far the vine has to swing.

 

[paranormal]

I would approach this problem by first identifying the key factors and variables involved. These include the weight and mass of Tarzan, the distance he needs to cross, the materials and surfaces he will encounter, and the desired outcome of landing safely.

Next, I would gather relevant information and data, such as the coefficient of friction of the mud and the maximum compression of the spring. This information can be used to calculate the forces and energies involved in Tarzan's journey.

To determine the starting height of the tree trunk, I would use principles of physics such as conservation of energy to ensure that Tarzan has enough energy to safely reach the other side of the stream. This would involve calculating the potential and kinetic energies at different points along his journey and making sure they are sufficient for him to complete the task.

Similarly, to determine the spring constant needed for the chair, I would use equations related to springs and potential energy to ensure that the spring can safely absorb the energy of Tarzan's landing without causing injury. This would involve considering the mass of Tarzan, the maximum compression of the spring, and the desired height of the chair.

In conclusion, as a scientist, I would use principles of physics and careful calculations to determine the appropriate starting height for the tree trunk and the necessary spring constant for the chair to ensure the safety of Tarzan in this scenario.