This.
That's the mistake, I treated ##L\space atm## as ##J##
When I did ##W_{AB}= -P_{AB} (V_B - V_A)= -20atm(10-5)L\neq -100J##, but ##-100 atm\space L=101,325J(-100)\approx -10,132J##
Now ##\Delta U_{AB} = Q + W= 25,304J -10,132J = 15,172J##.
If I compare it with ##\Delta U= nc_v\Delta...
I think I know how to solve the problem, but I've incurred into some problems with my computations.
Let's take for example the first question, in the monoatomic case.
The total heat absorbed by the gas coincides with the heat absorbed during ##A\rightarrow B##.
Since the pressure is constant...
##E_i=E_f \Rightarrow mgh= \frac 1 2 mv_{y,\text{right before collision}}^2##. Therefore ## v_{y,bc}= \sqrt{2gh}##.
##E_{\text{right after collision}} = E_f \Rightarrow \frac 1 2 m(0.8v_y)^2 = mgh_1## ##\Rightarrow h_1= \frac {\frac 1 2 (0.8v_y)^2} g##
I never considered that you can do an...
oops! A ##t## jumped away. It should be ##y(t)= y_0 + v_{0,y} t + \frac 1 2 a_y t^2##
##h## would then be negative, I didn't consider that the positive direction is determined by the y-axis.
To do the second point I need to find ##h_1##. For this I need to use ##h_1=y(t_1)= y_0+v_{y,after...
I conceptually know how to solve this problem, what I struggle with is the direction of the acceleration.
For example to solve the first question I need to find the horizontal displacement when the ball hits the ground.
Therefore ##l_0= x(t_1)= x_0 + v_0 t_1##, where ##t_1## is the moment the...