Problem 2. A bucket with a mass of one kilogram and a rope of negligible weight are used todraw water from a well that is 10 meters deep. The bucket is filled with 20 liters of water, and ispulled up at a rate of 0.5 meters per second. As the bucket is pulled up, water leaks out at a rateof 0.1 liters per second.(a) How long does it take to pull the bucket to the top of the well?(b) What is the mass of the bucket (plus water) when it has been raised y meters?(Hint: the density of water is one kilogram per liter)(c) What is the weight force of the bucket (plus water) when it has been raisedmeters?(d) Write an integral for the work done to raise the bucket to the top of the well.(e) Evaluate the integral in part (d). Problem 1. The trough shown below has a length of 10 meters. Vertical cross-sections perpen-dicular to the length of the trough are semicircles with a radius of 4 meters. Suppose that thetrough is full of water (density=1000 kilograms per cubic meter). Find the work against gravityrequired to pump all of the water over the edge of the trough.4 m10 mInclude the following in your solution.• a description of the "slices"• the approximate work done on each slice• a sum representing the approximate total work required• an integral representing the total work• a final (numerical) value for the total workMake sure to include units with your final answer.

Bucket is filled with 20 l of water It is pulled up 0.5 m per sec and, it losses water at 0.1…

Problem 2. A bucket with a mass of one kilogram and a rope of negligible weight are used to draw water from a well that is 10 meters deep. The bucket is filled with 20 liters of water, and is pulled up at a rate of 0.5 meters per second. As the bucket is pulled up, water leaks out at a rate of 0.1 liters per second. (a) How long does it take to pull the bucket to the top of the well? (b) What is the mass of the bucket (plus water) when it has been raised meters? (Hint: the density of water is one kilogram per liter) (c) What is the weight force of the bucket (plus water) when it has been raised y meters? (d) Write an integral for the work done to raise the bucket to the top of the well. (e) Evaluate the integral in part (d).

Problem 2. A bucket with a mass of one kilogram and a rope of negligible weight are used to draw water from a well that is 10 meters deep. The bucket is filled with 20 liters of water, and is pulled up at a rate of 0.5 meters per second. As the bucket is pulled up, water leaks out at a rate of 0.1 liters per second. (a) How long does it take to pull the bucket to the top of the well? (b) What is the mass of the bucket (plus water) when it has been raised meters? (Hint: the density of water is one kilogram per liter) (c) What is the weight force of the bucket (plus water) when it has been raised y meters? (d) Write an integral for the work done to raise the bucket to the top of the well. (e) Evaluate the integral in part (d).

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter29: Tolerance, Clearance, And Interference

Section: Chapter Questions

Problem 13A: Refer to Figure 29-9 to determine the values in the table. Allowance is equal to the maximum...

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