Integral Applications A bucket of water of mass 30 kg is pulled at constant velocity up to a platform 30 m above the ground. This takes 20 min,during which time 3 kg of water drips out at a steady rate through a hole in the bottom. Find the work needed to raise the bucket to theplatform, assuming g = 9.8 m/s².Work isjoules

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A bucket of water of mass 30 kg is pulled at constant velocity up to a platform 30 m above the ground. This takes 20 min, uring which time 3 kg of water drips out at a steady rate through a hole in the bottom. Find the work needed to raise the bucket to the atform, assumingg= 9.8 m/s². Vork is joules

A bucket of water of mass 30 kg is pulled at constant velocity up to a platform 30 m above the ground. This takes 20 min, uring which time 3 kg of water drips out at a steady rate through a hole in the bottom. Find the work needed to raise the bucket to the atform, assumingg= 9.8 m/s². Vork is joules

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section: Chapter Questions

Problem 33CT

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Question

Integral Applications

A bucket of water of mass 30 kg is pulled at constant velocity up to a platform 30 m above the ground. This takes 20 min,
during which time 3 kg of water drips out at a steady rate through a hole in the bottom. Find the work needed to raise the bucket to the
platform, assuming g = 9.8 m/s².
Work is
joules

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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