Water level in a well was 20m below ground level. During rainy season, rainwater collected in different water tanks was drained into the well and the water level rise 5 m above the previous level. The wall of the well is 1m 20cm high and a pulley affixed at a height of 80 cm. Raghu wants to draw water from the well. Find the minimum length of the rope that he can use.

Respuesta :

Answer:

17 m

Step-by-step explanation:

As shown in the figure,  [tex]A_0-B_0[/tex] is the ground level, [tex]A_1-B_1[/tex] is the old level of water which was at 20 m below ground level, [tex]A_2-B_2[/tex] is the new level of water which is 5m above of old level. The height of wall of the well, 1.20 m, and the the pelly at 80 cm =0.80 m, has been shown too.

The minimum length of the rope is equal to the distance between the pully and the new water level, indicated by the length [tex]L_0[/tex] in the figure.

So, [tex]L_0= 20-5+1.20+0.80= 17m[/tex]

Hence, Raghu must use a rope having the minimum length 17 m to draw water from the well.

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