The energy of the ski lift at the base is kinetic energy:

where m is the mass of the ski lift+the people carried, and

is velocity at the base.
As long as the ski lift goes upward, its velocity decreases and its kinetic energy converts into potential energy. Eventually, when it reaches the top, its final velocity is v=0, so no kinetic energy is left and it has all converted into gravitational potential energy, which is

where

and h is the height at the top of the hill.
So, since the total energy must conserve, we have

and so

from which we find the height:
Molecules, The movemnet of molecules
To solve this problem we will apply the concepts of equilibrium and Newton's second law.
According to the description given, it is under constant ascending acceleration, and the balance of the forces corresponding to the tension of the rope and the weight of the elevator must be equal to said acceleration. So


Here,
T = Tension
m = Mass
g = Gravitational Acceleration
a = Acceleration (upward)
Rearranging to find T,



Therefore the tension force in the cable is 10290.15N
Answer:
, downward
Explanation:
There is only one force acting on the ball during its motion: the force of gravity, which is given by

where
m is the mass of the ball
is the acceleration of gravity (downward)
According to Newton's second law,

where F is the net force on the object and a is its acceleration. Rearranging for a,

As we said, the only force acting on the ball is gravity, so F = mg and the acceleration of the ball is:

Therefore, the ball has a constant acceleration of
downward for the entire motion.