Water is drawn from a well in a 5 kg drum of capacity 55 L by two ropes connected to the top of the drum. The linear mass density of each rope is 0.5 kgm -1. The work done in lifting water to the ground from the surface of water in the well 20 m below is (g=10 ms -2)

Question

Water is drawn from a well in a 5 kg drum of capacity 55 L by two ropes connected to the top of the drum. The linear mass density of each rope is 0.5 kgm -1. The work done in lifting water to the ground from the surface of water in the well 20 m below is (g=10 ms -2) (A) 1.4 × 104 J (B) 1.5 × 104 J (C) 9.8 × 10 × 6 J (D) 18 J

Tardigrade Admin · Accepted Answer

Work done in lifting water and drum =60 × 10 × 20 J =12000 J Total mass of ropes =4 × 0.5 kg =20 kg Work done in the case of ropes =20 × 10 × 10=2000 J Total work done =14000 J

Q. Water is drawn from a well in a $5 k g$ drum of capacity $55 L$ by two ropes connected to the top of the drum. The linear mass density of each rope is $0.5 k g m^{- 1}$ . The work done in lifting water to the ground from the surface of water in the well $20 m$ below is $(g = 10 m s^{- 2})$

$1.4 \times 1 0^{4} J$

$1.5 \times 1 0^{4} J$

$9.8 \times 10 \times 6 J$

18 J

Work done in lifting water and drum $= 60 \times 10 \times 20 J$
$= 12000 J$
Total mass of ropes $= 4 \times 0.5 k g = 20 k g$
Work done in the case of ropes
$= 20 \times 10 \times 10 = 2000 J$
Total work done $= 14000 J$

Q. Water is drawn from a well in a 5kg drum of capacity 55L by two ropes connected to the top of the drum. The linear mass density of each rope is 0.5kgm−1. The work done in lifting water to the ground from the surface of water in the well 20m below is (g=10ms−2)

1.4×104J

1.5×104J

9.8×10×6J