Drag Force = bv^2 = ma; a = g = 9.81 m/s^2
b = mg/v^2 = (0.0023×9.81)/(9.4^2)
b = 0.000255
Answer:The pendulum of a clock swings back and forth in a very steady manner. When a new passenger gets in, a canoe will rock back and forth. We can call all these motions vibrations or oscillations. All these systems, and more, are examples of periodic motion.
Explanation:
Yes, IT IS periodic motion
Answer: 20 meters
Explanation:
This situation is related to vertical motion, especifically an object in free fall, and the parametric equation that describes this motion is:
![y=y_{o}+V_{o}t-\frac{g}{2}t^{2}](https://tex.z-dn.net/?f=y%3Dy_%7Bo%7D%2BV_%7Bo%7Dt-%5Cfrac%7Bg%7D%7B2%7Dt%5E%7B2%7D)
Where:
is the stone's final height
is the stone's initial height
is the initial speed of the stone
is the time the stone is falling
is the acceleration due gravity
Isolating
according to the given information:
![y_{o}=\frac{g}{2}t^{2}](https://tex.z-dn.net/?f=y_%7Bo%7D%3D%5Cfrac%7Bg%7D%7B2%7Dt%5E%7B2%7D)
![y_{o}=\frac{10 m/s^{2}}{2}(2 s)^{2}](https://tex.z-dn.net/?f=y_%7Bo%7D%3D%5Cfrac%7B10%20m%2Fs%5E%7B2%7D%7D%7B2%7D%282%20s%29%5E%7B2%7D)
Finally:
This is the distance the stone fell
Answer:
The pressure is ![P_2 = 4.25 \ a.t.m](https://tex.z-dn.net/?f=P_2%20%20%3D%20%204.25%20%5C%20a.t.m)
Explanation:
From the question we are told that
The initial pressure is ![P_1 = 11.2\ a.t.m](https://tex.z-dn.net/?f=P_1%20%20%3D%20%2011.2%5C%20a.t.m)
The temperature is ![T_1 = 299 \ K](https://tex.z-dn.net/?f=T_1%20%3D%20%20%20299%20%5C%20K)
Let the first volume be
Then the final volume will be ![2 V_1](https://tex.z-dn.net/?f=2%20V_1)
Generally for a diatomic gas
![P_1 V_1 ^r = P_2 V_2 ^r](https://tex.z-dn.net/?f=P_1%20V_1%20%5Er%20%20%3D%20%20P_2%20%20V_2%20%20%5Er)
Here r is the radius of the molecules which is mathematically represented as
![r = \frac{C_p}{C_v}](https://tex.z-dn.net/?f=r%20%3D%20%20%5Cfrac%7BC_p%7D%7BC_v%7D)
Where
are the molar specific heat of a gas at constant pressure and the molar specific heat of a gas at constant volume with values
![C_p=7 \ and\ C_v=5](https://tex.z-dn.net/?f=C_p%3D7%20%5C%20%20and%5C%20%20%20C_v%3D5)
=> ![r = \frac{7}{5}](https://tex.z-dn.net/?f=r%20%3D%20%20%5Cfrac%7B7%7D%7B5%7D)
=> ![11.2*( V_1 ^{\frac{7}{5} } ) = P_2 * (2 V_1 ^{\frac{7}{5} } )](https://tex.z-dn.net/?f=11.2%2A%28%20V_1%20%5E%7B%5Cfrac%7B7%7D%7B5%7D%20%7D%20%29%20%3D%20%20P_2%20%20%2A%20%20%282%20V_1%20%5E%7B%5Cfrac%7B7%7D%7B5%7D%20%7D%20%29)
=> ![P_2 = [\frac{1}{2} ]^{\frac{7}{5} } * 11.2](https://tex.z-dn.net/?f=P_2%20%20%3D%20%20%5B%5Cfrac%7B1%7D%7B2%7D%20%5D%5E%7B%5Cfrac%7B7%7D%7B5%7D%20%7D%20%2A%2011.2)
=> ![P_2 = 4.25 \ a.t.m](https://tex.z-dn.net/?f=P_2%20%20%3D%20%204.25%20%5C%20a.t.m)