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valentinak56 [21]
2 years ago
6

Two ropes in a vertical plane exert equal-magnitude forces on a hanging weight but pull with an angle of 72.0° between them. Wha

t pull does each rope exert if their resultant pull is 372 N directly upward?

Physics
1 answer:
Yanka [14]2 years ago
5 0

Answer:

T1 = 250.57[N] and T2 = 250.57[N]

Explanation:

First we have to extract all the information they give us about the problem, then make a free body diagram with all the forces that act on the body.

In the attached image we can see the free body diagram with the respective forces.

By summing up forces on the Y-axis, we can find the T1 and T2 force, these forces are equal since it is an initial condition of the problem. This equation can therefore be cleared.

The equations and analysis can be seen in the attached image

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Explanation:

Given that,

Initial volume of tank, V = 6 L

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PV=P'V'\\\\P'=\dfrac{PV}{V'}\\\\P'=\dfrac{6\times 2}{1}\\\\P'=12\ atm

(b) V' = 2500 mL

New pressure becomes :

PV=P'V'\\\\P'=\dfrac{PV}{V'}\\\\P'=\dfrac{6\times 2}{2500\times 10^{-3}}\\\\P'=4.8\ atm

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New pressure becomes :

PV=P'V'\\\\P'=\dfrac{PV}{V'}\\\\P'=\dfrac{6\times 2}{750\times 10^{-3}}\\\\P'=16\ atm

(d) V' = 8 L

New pressure becomes :

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Answer:

<em>The force applied to the smaller piston = 2512 N</em>

Explanation:

Hydraulic press:  A hydraulic press is a device used to produce a very large force. A hydraulic force operates based on pascal's principle.

F/f = A/a................ Equation 1

making f the subject of the equation above

f =(F×a)/A............. Equation 2

Where F = Force on the larger piston, f = force on the smaller piston, A = area of the larger piston, a = area of the smaller piston.

<em>Given: F = 3200 N,  and</em>

<em>Area (A) = πD²/4 where D = 16.0 cm = 0.16 m</em>

<em>A = 3.143×(0.16)²/4 = 0.02 m²</em>

<em>Also</em>

<em>a = πd²/4 where d = 2 cm = 0.02 cm</em>

<em>a = 3.143×(0.02)²/4</em>

<em>a = 0.0157 m²</em>

<em>Substituting these values into equation 2</em>

<em>f = (3200×0.0157)/0.02</em>

<em>f = 2512 N</em>

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