A Block of ice weighing 3000N it\'s being lifted from the bottom of a pit with a

Question

A Block of ice weighing 3000N it's being lifted from the bottom of a pit with a cable of negligible weight. The pit it's 90m deep. The ice melts as it is lifted, causing the weight to decrease at a rate of 8N per m of lift. How much work is required to lift the block of ice as it melts? A Block of ice weighing 3000N it's being lifted from the bottom of a pit with a cable of negligible weight. The pit it's 90m deep. The ice melts as it is lifted, causing the weight to decrease at a rate of 8N per m of lift. How much work is required to lift the block of ice as it melts?

Explanation / Answer

F = 3000 - 8x where x is in metres.

W = integration F.dx

W = int (3000 - 8x) from 0 to 90

W = 3000x - 4x2 (x=0 to 90)

W = 27000 - 4*90*90

W= 237600 J.

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