Question

In a scifi movie a wonderful waterfall shows with an

impressive and unrealistic altitude of 10000 meters.

The temperature of the water at the very top of the

water fall is a nice 25 °C (so that the aliens can have fun

playing in the water). The acceleration of gravity in this

alien planet is 10 m/s2

• Some young adventurers aliens decide to go take a dive

at the bottom of the water fall risking their life because

they know they can not stand less than 10 °C or more

than 35 °C. Do they survive when they jump in?

• Showing all the work for final temperature of the water

is mandatory for credit

Answer 1

Sol. : Let us consider all the potential energy of water converted into heat energy without any loss and also there is no drag on water due to air. So,

Potential energy = heat energy given to water

mgh = msT

Cancelling out m from both sides

gh = sT

So, T = gh/s

We are given that g = and h = 10000m

Specific heat of water is, s = 4200 J/Kg

Putting in formula

= 23.809 degree Celsius

Initial temperature of water is 25 degree Celsius. So, final temperature

T_final = 25+23.809 = 48.809 degree Celsius.

It is given that aliens can't survive in temperature above 35 , so they will die after jump.

Upvote if helps....

Comment for further clarification.