Answer:
In the - j direction, that is negative of the y-axis
Explanation:
As typed in the question, the position of the object is given by the expression in three component ( i, j, k) form:
r (t) = 5 i - (t + 1 ) j + t^3 k
and since the velocity is the derivative of position with respect to time, by doing the derivative of this expression we get:
v(t) = 0 i - 1 j +3 t^2 k
which for the initial velocity requested (that is at time zero) we have:
v(t) = 0 i - 1 j +3 (0)^2 k = = 1 j
Then the direction of the initial velocity is entirely in the direction of the j versor, that is pointing to the negative of the y-axis.
Answer:
C. The concentration of the copper sulfate is too low
Explanation:
Answer:
The pressure at the top of the step is 129.303 kilopascals.
Explanation:
From Hydrostatics we find that the pressure difference between extremes of the water column is defined by the following formula, which is a particular case of the Bernoulli's Principle (
):
(1)
,
- Total pressures at the bottom and at the top, measured in pascals.
- Density of the water, measured in kilograms per cubic meter.
- Height difference of the step, measured in meters.
If we know that
,
,
and
, then the pressure at the top of the step is:
![p_{top} = p_{bottom}-\rho\cdot g\cdot \Delta h](https://tex.z-dn.net/?f=p_%7Btop%7D%20%3D%20p_%7Bbottom%7D-%5Crho%5Ccdot%20g%5Ccdot%20%5CDelta%20h)
![p_{top} = 132000\,Pa-\left(1000\,\frac{kg}{m^{3}} \right)\cdot \left(9.807\,\frac{m}{s^{2}} \right)\cdot (0.275\,m)](https://tex.z-dn.net/?f=p_%7Btop%7D%20%3D%20132000%5C%2CPa-%5Cleft%281000%5C%2C%5Cfrac%7Bkg%7D%7Bm%5E%7B3%7D%7D%20%5Cright%29%5Ccdot%20%5Cleft%289.807%5C%2C%5Cfrac%7Bm%7D%7Bs%5E%7B2%7D%7D%20%5Cright%29%5Ccdot%20%280.275%5C%2Cm%29)
![p_{top} = 129303.075\,Pa](https://tex.z-dn.net/?f=p_%7Btop%7D%20%3D%20129303.075%5C%2CPa)
![p_{top} = 129.303\,kPa](https://tex.z-dn.net/?f=p_%7Btop%7D%20%3D%20129.303%5C%2CkPa)
The pressure at the top of the step is 129.303 kilopascals.