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jarptica [38.1K]
3 years ago
11

In a hydraulic jack, the pipe below the load has an area of 5 m2, and the pipe through which the input force transmits has an ar

ea of 1 m2. Calculate the force required.
(____) kN of input force is necessary to balance a load of 10,000 N.
Mathematics
1 answer:
anzhelika [568]3 years ago
6 0

Answer:

0.2kN

Step-by-step explanation:

An hydraulic jack works by the principle that pressure applied to one part in an enclosed liquid is transmitted equally in all parts of the liquid. this is in accordance with Pascal's principle.

Pressure= Force/Area

P=F/A

Pressure due to the load= Pressure due to input force for the system to be in balance.

Let force due to load be F₁, input force be F₂, Area at the load piston be A₁ and the area of the pipe through which the input force transmits be A₂, then,

F₁/A₁=F₂/A₂

10000N/5m²=F₂/1m²

F₂=(1000N×1m²)/5m²

F₂=200N

=0.2kN

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Step-by-step explanation:

Need Common denominators to compare size

2/6  3/4  4/9     which is longer than 2/3?

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What is the y-intercept of y = 5x - 1?​
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PLEASE HELP ME
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Answer:

  • The sequence of transformations that maps triangle XYZ onto triangle X"Y"Z" is <u>translation 5 units to the left, followed by translation 1 unit down, and relfection accross the x-axis</u>.

Explanation:

By inspection (watching the figure), you can tell that to transform the triangle XY onto triangle X"Y"Z", you must slide the former 5 units to the left, 1 unit down, and, finally, reflect it across the x-axys.

You can check that analitically

Departing from the triangle: XYZ

  • <u>Translation 5 units to the left</u>: (x,y) → (x - 5, y)

  • Vertex X: (-6,2) → (-6 - 5, 2) = (-11,2)
  • Vertex Y: (-4, 7) → (-4 - 5, 7) = (-9,7)
  • Vertex Z: (-2, 2) → (-2 -5, 2) = (-7, 2)

  • <u>Translation 1 unit down</u>: (x,y) → (x, y-1)

  • (-11,2) → (-11, 2 - 1) = (-11, 1)
  • (-9,7) → (-9, 7 - 1) = (-9, 6)
  • (-7, 2) → (-7, 2 - 1) = (-7, 1)

  • <u>Reflextion accross the x-axis</u>: (x,y) → (x, -y)

  • (-11, 1) → (-11, -1), which are the coordinates of vertex X"
  • (-9, 6) → (-9, -6), which are the coordinates of vertex Y""
  • (-7, 1) → (-7, -1), which are the coordinates of vertex Z"

Thus, in conclusion, it is proved that the sequence of transformations that maps triangle XYZ onto triangle X"Y"Z" is translation 5 units to the left, followed by translation 1 unit down, and relfection accross the x-axis.

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3 years ago
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