Ask question

Ask question

All categories

3 years ago

14

A bottle of a certain type of salad dressing can be considered to be a mixture of olive oil and vinegar. The oil has a density o

f 0.92 g/cm3 and the vinegar has a density of 1.01 g/cm3 . If an unopened and unshaken bottle of dressing contains 3 in. of oil on top of 5 in. of vinegar, find the pressure distribution in the salad dressing bottle before it is shaken. What is the pressure distribution after the bottle is shaken?

1 answer:

TEA [102]3 years ago

5 0

Answer:

1.) 183.21 Pascal, 125.7 Pascal

2.) 192.17 Pascal

Explanation:

Given that the oil has a density of 0.92 g/cm3 and the vinegar has a density of 1.01 g/cm3 .

If an unopened and unshaken bottle of dressing contains 3 in. of oil on top of 5 in. of vinegar, convert the inches to cm

1 inch = 2.54 cm

3 inches = 2.54 × 3 = 7.62 cm

5 inches = 2.54 × 5 = 12.7 cm

For oil:

P = dgh

Where

P = pressure

d = density

g = acceleration due to gravity

h = height

P = 0.92 × 9.8 × (7.62 + 12.7)

P = 0.92 × 9.8 × 20.32

P = 183.21 Pascal

For vinegar:

P = 1.01 × 9.8 × 12.7

P = 125.7 Pascal

The pressure distribution after the bottle is shaken will be

P = (1.01 + 0.92)/2 × 9.8 × 20.32

P = 0.965 × 9.8 × 20.32

P = 192.17 Pascal

You might be interested in

A girl weighing 50 kgf wears sandals of pencil heel of area of cross section 1 cm^2, stands on the floor.An elephant weighing 20

Klio2033 [76]

Answer:

$\boxed{{\boxed{\blue{ 12.5}}}}$

Explanation:

Given, for girl : Weight or force;

$\rm \: F_1 = 50 \: kgf$

Area of both heels;

$\rm \: A_1 = \; 2 ×1 \; cm^2 = 2 \: cm^2$

$\rm \: Pressure \: P_1 = \cfrac{F_1}{ A_1 } = \dfrac{50 \: kgf}{2 \: cm {}^{2} } = 25 \: kgf \: cm {}^{ - 1}$

For elephant, Weight = Force $\rm F_2$ = 2000 kg•f

Area of 4 feet;

$\rm \: A_2 = \; 4 \times 250 \; cm^2 = 1000 \: cm^2$

$\rm \: Pressure \: P_2 = {F_2}/{A_2} \; = \cfrac{2 \cancel{0 00 }\: kgf}{1 \cancel{000} \: cm^2} = 2 \: kgf \: { \:cm}^{- 1}$

Now;

$\rm = \dfrac{Pressure \: Exerted \: by \: the \: Girl}{Pressure \: exerted \: by \: the \: elephant}$

$= \rm \: P_1/P_2$

$\implies \rm\cfrac{25 \: kgf \: \: cm {}^{ - 2} }{2 \: kgf \: cm {}^{ - 2} } = \rm\cfrac{25 \: \cancel{kgf \: \: cm {}^{ - 2}} }{2 \: \cancel{ kgf \: cm {}^{ - 2}} } = \boxed{12.5}$

Thus, the girl's pointed heel sandals exert 12.5 times more pressure P than the pressure P exerted by the elephant.

I aspire this helps!

3 0

2 years ago

How much energy is stored in a 2.80-cm-diameter, 14.0-cm-long solenoid that has 200 turns of wire and carries a current of 0.800

ozzi

Answer:

The energy stored in the solenoid is 7.078 x 10⁻⁵ J

Explanation:

Given;

diameter of the solenoid, d = 2.80 cm

radius of the solenoid, r = d/2 = 1.4 cm

length of the solenoid, L = 14 cm = 0.14 m

number of turns, N = 200 turns

current in the solenoid, I = 0.8 A

The cross sectional area of the solenoid is given as;

$A = \pi r^2\\\\A = \pi (0.014)^2\\\\A = 6.16*10^{-4} \ m^2$

The inductance of the solenoid is given by;

$L = \frac{\mu_0 N^2A}{l} \\\\L = \frac{(4\pi*10^{-7})(200^2)(6.16*10^{-4})}{0.14}\\\\L = 2.212*10^{-4} \ H$

The energy stored in the solenoid is given by;

E = ¹/₂LI²

E = ¹/₂(2.212 x 10⁻⁴)(0.8)²

E = 7.078 x 10⁻⁵ J

Therefore, the energy stored in the solenoid is 7.078 x 10⁻⁵ J

8 0

3 years ago

What is the period of a sound wave having a frequency of 340 Hz

sertanlavr [38]

Answer:

lambda = 343 m/s divided by 340 Hz = 1.009 seconds

Hope it helps and have a wonderful day!

4 0

3 years ago

Read 2 more answers

Explain the principles of effective team

steposvetlana [31]

Answer:

work relationship built on trust.

Explanation:

Align on a set of communication best practices understood by all members of the team. Create a work environment built on trust and empathy. Manage healthy conflict through standards, processes, and real-time feedback. Develop a support system through patience and discipline.

5 0

3 years ago

Mila [183]

Answer: When you break on your bike and when you rub your hands together to get warm.

Explanation: Force and friction affect our daily lives in numerous amounts of ways. For instance, when a football is kicked, it moves faster later after some time its force decreases due to friction. A common example of friciton is when a bike stops. When the brakes are applied the friction on the pads cause the bike to stop. The rubbing hands is making friction. Which makes you get warm.

5 0

3 years ago