Answer :
Final answer:
The work required to lift the load a quarter of the way up a 50-meter shaft is not represented in the options provided. The correct answer, calculated using the formula for work and the total mass being lifted (load plus cable), is 20025 J or 20.025 kJ.
Explanation:
In order to calculate the work done in lifting the load, you need to use the formula for work Work = Force x Distance. In this case, force is equal to the weight of the load, which is mass x gravity (let's use 9.8 m/s2 for gravity), and the distance is a quarter of the height of the shaft.
So, the total mass being lifted is the mass of the load being lifted plus the mass of the cable used (a quarter of the total length of the cable since we are lifting the load a quarter of the way up). This becomes:150 kg + 0.5 kg/m * 50 m * 1/4 = 162.5 kg.
Our calculation therefore becomes: Work = 162.5 kg x 9.8 m/s2 x 50 m * 1/4 which equals 20025 Joules or 20.025 kJ. Therefore, none of the options a) 6250 J b) 3125 J c) 7500 J d) 1500 J are correct.
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