Why is your State have dimensions

A tree loses water to the air by the process of transpiration at the rate of 110 g/h. This water is replaced by the upward flow

Vinvika [58]

Answer:

The answer is 1.87nm/s.

Explanation:

The $110g/hr$ water loss must be replaced by $110g/hr$ of sap. 110g of sap corresponds to a volume of

$110g \div \dfrac{1040*10^3g}{1*10^6cm^3} = 106cm^3$

thus rate of sap replacement is

$106cm^3/hr = 106*10^{-6}m^3/3600s = 2.94*10^{-8}m^3/s$

The volume of sap in the vessel of length $x$ is

$V = Ax$ ,

where $A$ is the cross sectional area of the vessel.

For 2000 such vessels, the volume is

$V = 2000Ax$

taking the derivative of both sides we get:

$\dfrac{dV}{dt} = 2000A \dfrac{dx}{dt}$

on the left-hand-side $\dfrac{dx}{dt}$ is the velocity $v$ of the sap, and on right-hand-side $\dfrac{dV}{dt} = 2.94*10^{-8}m^3/s$ ; therefore,

$2.94*10^{-8}m^3/s=2000Av$

and since the cross-sectional area is

$A = \pi (\dfrac{100*10^{-3}m}{2} )^2 = 7.85*10^{-3}m^2$ ;

therefore,

$2.94*10^{-8}m^3/s =2000(7.85*10^{-3}m^2)v$

solving for $v$ we get:

$v = \dfrac{2.94*10^{-8}m^3/s}{2000(7.85*10^{-3}m^2)}$

$\boxed{v =1.875*10^{-9}m/s = 1.875nm/s}$

which is the upward speed of the sap in each vessel.

4 0

4 years ago

shows a map of Olivia's trip to a coffee shop. She gets on her bike at Loomis and then rides south 0.9mi to Broadway. She turns

Andreas93 [3]

The magnitude of the total displacement of her trip is 2.2 miles.

<h3>Total displacement of Olivia's trip</h3>

The magnitude of the total displacement of her trip is calculated as follows;

Total east journey = 0.8 mi + 1.2 mi = 2 mi

Resultant displacement = √(y² + x²)

Resultant displacement = √(0.9² + 2²)

Resultant displacement = 2.2 mi

Thus, the magnitude of the total displacement of her trip is 2.2 miles.

Learn more about displacement here: brainly.com/question/321442

#SPJ1

3 0

2 years ago

Which is an example of a chemical reaction ?

julia-pushkina [17]

Answer:

paper burned and turned into smoke...

Explanation:

When a chemical reaction has taken place that means that whatever the starting variable is, (in this case it was the paper) then it cannot go back to its original state... you can also tell if a chemical reaction has taken place if the test releases any kind of gas, if there is a temperature change, or if there is a color change. Which this time it changed from paper into smoke which is a gas

Hope This Helps

8 0

4 years ago

Read 2 more answers

A 2.0 kg block is pulled across a horizontal surface by a 15 N force at a constant velocity.a. What is the net force acting on t

bixtya [17]

Answer:

0

Explanation:

the block is being pulled at a constant velocity meaning it has no acceleration. the rule is fnet=mass x acceleration so if theres no acceleration there is no force net!

8 0

3 years ago

The power rating of a light bulb (such as a 100-W bulb) is the power it dissipates when connected across a 120-V potential diffe

bazaltina [42]

To solve this problem we will apply the concepts related to the calculation of power, from the two electrical forms:

$P = VI$