In: Physics
A spherical mylar balloon filled with Hydrogen gas, with density 0.0899 kg/m3 and having radius 7 meters is immersed in a gas having density X1=1.205 for the first 10 km and X2=2.489 for the second 10 km (with the upper atmosphere density smaller than the lower atmosphere density). Determine how long it takes the balloon to reach the top of the second layer. To do this, you will have to: a) find the net force on the balloon (assume the mylar is massless) in the first layer, then assuming constant acceleration, determine the time to get to the bottom of the second layer, then b) repeat the exercise, but now calculating the buoyancy using the second layer of atmospheric gas.