Answer:
V₂ = 14.07 L
Explanation:
As this gas is cooled at constant temperature of 320 K, this means that we are on an isothermal process, and according to the 1st law of thermodynamics:
Q = W (1)
And as the temperature is constant, we can use the following expression to calculate the Work done:
W = nRT ln(V₁/V₂) (2)
However, as Q = W, we can replace heat into the above expression and then solve for V₂:
Q = nRT ln(V₁/V₂)
Replacing we have:
1200 = (1.5 * 8.314 * 320) ln(19/V₂)
1200 = 39907.2 ln(19/V₂)
ln(19/V₂) = 1200/3990.72
ln(19/V₂) = 0.3007
19/V₂ = e^(0.3007)
V₂ = 19 / e^(0.3007)
<h2>
V₂ = 14.07 L</h2>
Hope this helps
At the vertex, it's vertical velocity is 0, since it has stopped moving up and is about to come back down, and its displacement is 0.33m.
So we use v² = u² + 2as (neat trick I discovered just then for typing the squared sign: hold down alt and type 0178 on ur numpad wtih numlock on!!!) ANYWAY.......
We apply v² = u² + 2as in the y direction only. Ignore x direction.
IN Y DIRECTION:
v² = u² + 2as
0 = u² - 2gh
u = √(2gh) (Sub in values at the very end)
So that will be the velocity in the y direction only. But we're given the angle at which the ball is hit (3° to the horizontal). So to find the velocity (sum of the velocity in x and y direction on impact) we can use: sin 3° = opposite/hypotenuse = (velocity in y direction only) / (velocity)
So rearranging,
velocity = (velocity in y direction only) / sin 3°
= √(2gh)/sin 3°
= (√(2 x 9.8 x 0.33)) / sin 3°
= 49 m/s at 3° to the horizontal
The sentence can be completed as follows:
"<span>When more than one wave is in the same location at the same time, then there is interference between the waves"
In fact, when there are two or more waves in the same location at the same time, their amplitude sum together. The two extreme possibilities are:
- costructive interference: the two waves arrive on phase at the same location (=their crests arrive at the same location at the same time). In this case, the amplitudes of the waves sum together and the resultant wave has greater amplitude.
- destructive interference: the two waves arrive out of phase at the same location. In this case, the amplitudes of the two waves cancel out, and the resultant wave has amplitude zero.</span>
