Log in
Mathematics
1
answer
0
watching
237
views

A leaky 10-kg bucket is lifted from the ground to a height of 12 m at a constant speed with a rope that weighs 0.8 kg/m. Initially the bucket contains 36 kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the 12-m level. How much work is done?

Watch
1
answer
0
watching
237
views

For unlimited access to Homework Help, a Homework+ subscription is required.

Tod Thiel
Tod ThielLv2
20 May 2020

Unlock all answers

Get 1 free homework help answer.
Already have an account? Log in
Share

Related questions

Show how to approximate the required work done by a Riemann sum. Then express the work as an integral an evaluate it.

A bucket that weighs 4 lb and a rope of negligible weight are used to draw water from a well that is 80 ft deep. The bucket is filled with 40 lb of water and is being pulled up at a rate of 2 ft/s, but water leaks out of a hole in the bucket at a rate of 0.2 lb/s. Find the work done in pulling the bucket to the top of the well.

 

1.)  Some punch is made by mixing grape juice and bubbly water in a ratio of 4 to 3. Give at least five different pairs of quantities of grape juice and bubbly water that you could use to make the punch mixture in that ratio. Include at least two examples that involve fractions or mixed numberquantities. Show or explain why all the mixtures are in that same ratio of 5 to 2 using a method your choice (i.e. double-sided number line, strip diagram, batch table).

 

 

2.)  Using a ratio of 3 to 8;

 

a.)  Give two different ways of using this ratio with different ‘part-to-part’ perspectives.

 

 

b.)  Give two different ways of using this ratio with a ‘part-to-whole’ perspective.

 

 

3.)  A drink mixture is made by mixing cola and lemon-lime soda in a ratio of 5 to 3. How much cola and how much lemon-lime soda will you need to make 240 cups of the drink mixture?  Complete either (a) OR (b).

 

(a) Show how to solve the problem from the multiple-batches perspective by reasoning about multiplication and division with quantities. You can support your work with a table or double-sided number line.

 

(b) Show how to solve the problem from the variable-parts perspective by reasoning about multiplication and division with quantities. You can support your work with a strip diagram.

 

 

4.)  Traveling at a constant speed, a race car goes 15 miles every 6 minutes.  Use the unit rate method to solve the following:  (a) How far does the race car go in 15 minutes?  (b) How long does it take the race car to go 20 miles?

 

 

5.)  A type of fertilizer is made by mixing nitrogen and phosphate in an 8 to 3 ratio. For 35 kilograms of nitrogen, how many kilograms of phosphate are needed to make that type of fertilizer?

 

 

6.)  To make jewelry, jewelers often mix gold and copper in a 7 to 5 ratio. How much gold should a jeweler -mix with 42 grams of copper?​

 

 

7.)  You need 3 cups of grape juice for a recipe that makes 4 servings. How many cups of grape juice will you need if you want to make 10 servings of the same recipe?

8.)  Consider all ramps that could be built for which the ratio of height to length is 2 cm to 7 cm. Let x be the unspecified length of a ramp in feet, which can vary, and let y be the corresponding height of the ramp in feet. Derive and explain an equation of the form y = c•x for a suitable constant c (which you should find).

 

Weekly leaderboard

Home
Homework Help 3,900,000
Mathematics 240,000
Start filling in the gaps now
Log in