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Minchanka [31]
3 years ago
13

In a shipping yard, a crane operator attaches a cable to a 1240-kg shipping container and then uses the crane to lift the contai

ner vertically at a constant velocity for a distance of 37 m. Determine the amount of work done by each of the following.
(a) the tension in the cable? (J)
(b) the force of gravity? (J)
Physics
2 answers:
lapo4ka [179]3 years ago
7 0

Answer:

(a) W = 449624 J or 449.624 kJ

(b) W = 449624 J or 449.624 kJ

Explanation:

Parameters given:

mass of container = 1240 kg

vertical distance moved = 37 m

(a) The amount of work done by Tension is given as:

W = T * d

where T = Tension in the cable;

d = distance moved by container.

The Tension in the cable is given as:

T = mg - ma

where w = weight of the container

g = acceleration due to gravity

a = normal acceleration

But a = 0, since the crane is accelerating due to gravity, being lifted vertically upwards. Hence, Tension is:

=> T = 1240 * 9.8

T = 12152 N

Hence, work done  by Tension:

W = T * d

W = 12152 * 37

W = 449624 J or 449.624 kJ

(b) The crane operator is lifting the container vertically upward. In this type of case, the Tension is equal to the weight or force of gravity.

This means that the work done by the Tension will be the same as the work done by the force of gravity.

Hence, work done by force of gravity = 449624 J or 449.624 kJ

Firdavs [7]3 years ago
4 0

Answer:

Explanation:

Given

mass of ship =1240 kg

height=37 m

(a)Work done by Tension in cable+work done by gravity =0

Work done by gravity =change in potential energy of mass=-1240\times 9.8\times 37=-449.624 kJ

Thus work done by tension=449.624 kJ

(b)work done by force of gravity=-mg\times h=-1240\times 9.8\times 37=-449.624 kJ

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As we can see that from the formula that higher the molality of the solution is directly proportionate to the depression in freezing point which means that:

  1. If molality of the solution in high the depression in freezing point of the solution will be more.
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Relative lowering in vapor pressure of the solution is given by :

\frac{p_o-p_s}{p_o}=\chi_{solute}

p_o = Vapor pressure of pure solvent

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Vapor pressure of the solution is inversely proportional to the mole fraction of solute.

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b) the work (W) done during the process is -2418.96 kJ

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Given the data in the question;

mass of water vapor m = 10 kg

initial pressure P₁ = 550 kPa

Initial temperature T₁ = 340 °C

steam cooled at constant pressure until 60 percent of it, by mass, condenses; x = 100% - 60% = 40% = 0.4

from superheated steam table

specific volume v₁ = 0.5092 m³/kg

so the properties of steam at p₂ = 550 kPa, and dryness fraction

x = 0.4

specific volume v₂ = v_f + xv_{fg

v₂ = 0.001097 + 0.4( 0.34261 - 0.001097 )

v₂ = 0.1377 m³/kg

Now, work done during the process;

W = mP₁( v₂ - v₁ )

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Therefore, the work (W) done during the process is -2043.25 kJ

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What would the work done be if steam were cooled at constant pressure until 80 percent of it, by mass, condenses

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Therefore, the work (W) done during the process is -2418.96 kJ

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