A bucket full of sand has a mass of 20 kg (including the bucket and the sand). The bucket is to be lifted to the top of a buildi
ng 20 meters tall by a rope of negligible weight. However, the bucket has a hole in it, and leaks 0.1 kgs of sand each meter it is lifted. Find the work done lifting the bucket to the top of the building.
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Answer:
Diameter decreases by the diameter of 0.0312 m.
Explanation:
Given that,
Bulk modulus = 14.0 × 10¹⁰ N/m²
Diameter d = 2.20 m
Depth = 2.40 km
Pressure = ρ g h = 1030 × 9.81 × 2.4 × 1000
= 24.25 × 10⁶ N/m²
Volume =
Bulk modulus is equal to
now
Δ r = -0.0156 m
change in diameter
Δ d = -2 × 0.0156
Δ d = -0.0312 m
Diameter decreases by the diameter of 0.0312 m.