A leaky 10-kg bucket is lifted from the ground to a height of 15 m at a constant speed with a rope that weighs 0.7 kg/m. Initially the bucket contains 45 kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the 15-m level. Find the work done. (Use 9.8 m/s2 for g.)

Show how to approximate the required work by a Riemann sum.

Express the work as an integral.

Evaluate the integral. (Round your answer to the nearest integer.)

Question

A leaky 10-kg bucket is lifted from the ground to a height of 15 m at a constant speed with a rope that weighs 0.7 kg/m. Initially the bucket contains 45 kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the 15-m level. Find the work done. (Use 9.8 m/s2 for g.) 

Show how to approximate the required work by a Riemann sum.

Express the work as an integral. 

Evaluate the integral. (Round your answer to the nearest integer.)