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lora16 [44]
3 years ago
6

A hydraulic lift raises a 4000 kg automobile when a 500N force is applied to the smaller piston. If the smaller piston has an ar

ea of 10 cm2, what is the cross-sectional area of the larger piston?
Physics
1 answer:
MariettaO [177]3 years ago
8 0

Answer:

The cross-sectional area of the larger piston is 800 cm².

Explanation:

Given;

mass of the automobile, m = 4000 kg

force applied on the small piston, F₁ = 500 N

area of the smaller piston, A₁ = 10 cm²

load lifted by the larger piston, F₂ = 4000 x 10 = 40,000 N

Pressure experienced by each piston is given as;

\frac{F_1}{A_1} = \frac{F_2}{A_2}

Where;

A₂ is the cross-sectional area of the larger piston

\frac{F_1}{A_1} = \frac{F_2}{A_2} \\\\A_2 = \frac{F_2A_1}{F_1} \\\\A_2 = \frac{40,000 \ \times\ 10}{500} \\\\A_2=800 \ cm^2

Therefore, the cross-sectional area of the larger piston is 800 cm².

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A rectangular tank is filled to a depth of 10m with freshwater and open to air at atmospheric pressure.
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Answer:

<em>1.</em> <em>39068.07 N</em>

<em>2. 19534.036 N</em>

Explanation:

depth of water h = 10 m

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density of water p = 1000 kg/m^3

acceleration due to gravity g = 9.81 m/s^2

pressure due to depth of water = pgh

P = 1000 x 9.81 x 10 = 98100 Pa

total pressure on the bottom of the tank is Patm + p = 101325 + 98100 = 199425 Pa

Left plug has diameter = 50 cm = 0.5 m

radius = 0.5/2 = 0.25 m

height = 1 cm = 0.01 m

<em>height below tank surface = 10 - 0.01 = 9.99</em>

pressure at this depth =  1000 x 9.81 x 9.99 = 98001.9 Pa

<em>total pressure = Patm + P = 101325 + 98001.9 = 199326.9 Pa</em>

surface area of plug = πr^{2} = 3.142 x 0.25^{2} = 0.196 m^{2}

<em>force required to lift left plug = pressure x area</em>

F =  199326.9 x 0.196 = <em>39068.07 N</em>

<em>The right side is a hemisphere with the same diameter, therefore surface area is half of the left plug</em>

A = 0.196/2 = 0.098 m^{2}

force F required to lift right plug =  199326.9  x 0.098 =<em> 19534.036 N</em>

6 0
3 years ago
What type of material is wrapped around an object could cause the object to lose the most heat
Dmitrij [34]
<span>A sheet of copper could cause the object to lose the most amount of heat. Copper is an essential element and a good conductor of heat. Heat can transfer from one end of a piece of copper to the other end.</span>
7 0
3 years ago
An atom with two protons, three neutrons and two electrons would have a mass of about how many atomic mass units?
Katarina [22]
The answer is 5 amu.
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3 years ago
The drawing shows a loudspeaker A and point C, where a listeer is positioned. A second loudspeaker B is located somewhere to the
Liono4ka [1.6K]

Answer: 4.17m

Explanation:

The observer at C will hear a sound on no sound upon whether the interference is constructive or destructive.

If the listeners hears sounds it is caled constructive interference but if he hears no sound its called destructive interference.

So

d2 - d1 = (n *lamba)/ 2

Where n=1,3,5

lamda=v/f =349/62.8

lamda=5.56m

d2= d1 + nlamda/2

d2= 1 + 5.56/2

d2= 3.78m

X'= 1 cos 60= 0.5m

Y= 1 sin60= 0.866m

X"^2 + Y^2 =d2^2

X" =√(y^2 - d2^2)

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So therefore the closest that speaker A can be to speaker B so the listener does not hear any sound is X' + X"= 0.5 + 3.67

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3 0
3 years ago
If 1 gallon of a liquid weighs 4 pounds how much would one ounce weight (keep in mind that liquid ounces are different than weig
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Answer:

64 ounces

Explanation:

Pound is the unit of mass in the imperial system of units.  It is used in the United States. Its calibration is done with the SI unit of mass which is kilogram. 1 lb =  0.45359237 kg

1 gallon = 4 pounds

1 pound = 16 ounces weight

So,

4 pounds = 16 × 4 = 64 ounces weight

So, 1 gallon is equal to 64 ounces weight.

1 gallon = 128 fluid ounces.

3 0
3 years ago
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