+10 Assuming a ball dropped from the edge of space onto Venus from 120 kilometers up, the ball's mass is 3.5 kilogrammes, and the Gravity's gravitational acceleration is 8.9 m/s^2, the air deceleration is 0.5 m/s^2 per atmospheric pressure per 10m/s velocity, the atmosphere ranges from 0 to 90 km with 1 atm increase per km, the air-deceleration increases with the velocity and the pressure of the object proportionally and the atmospheric pressure increases proportionally as well (i.e 1 atm/km up from 90 km down), given all the circumstances,
(1) How much energy in Joules will the ball transmit to air because of air-deceleration?
(2)What's the terminal velocity of this object?
(3)What's the velocity of this object at the instant it touches the ground?
(4)And then the ball impacts the sand dunes on Venus and digs in it 9 centimetres deep, what's the average deceleration of the ball?
P.S. : The air's deceleration is 0.5 m/s^2 per 10m/s= 0.5 x (velocity/10) m/s^2
(The question sounds hard but you will get it if you read through it with heart)
