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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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Question: In the bronze medal game of the 2014 FIBA Asia Cup... In the bronze medal game of the 2014 FIBA Asia Cup, and with his team down by two points, Philippines guard Paul Dalistan was fouled while attempting a three-pointer at the buzzer. He missed the shot and headed to the line for three foul shots.

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b

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Step-by-step explanation:

From the question we are told that

    The  probability of  Paul Dalistan making a shot is  p  =  0.846

   The probability of  Paul Dalistan not making the shot is  q =  1- p  =  1-  0.846=0.154

     Paul Dalistan team was down by two points

This mean that for Paul Dalistan's  team to win the game he must make the 3 free throws

So the probability that Philippines will win the game is mathematically represented as

    P(A) =   p^3

=>  P(A) =  0.846^3

=>  P(A) =  0.6055

Gnerally for Paul Dalistan's  team to loss the game it means that Paul Dalistan did not make any of the free shot

Hence the probability that Philippines will loss the game is  

     P(B) =  q^3

=>  P(B) =  (0.154 )^3

=>  P(B) =  0.00365

Generally for the game to be sent to overtime  then the game must be tied and for the game to be tied, Paul Dalistan have to make 2 out of the three shots

   Hence the probability that game will go to overtime is  

          P(C) =  3 *  0.846 *  0.154  *  0.154

         P(C) =  0.06

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