Physics
posted by Hailey56
A uniform soda can of mass 0.135 kg is 12.4 cm tall and filled with 1.25 kg of soda (figure below). Then small holes are drilled in the top and bottom (with negligible loss of metal) to drain the soda. (Initially the soda can is full.)(a) What is the height h of the com (center of mass) of the can and contents initially. cm (b) What is the height h of the com of the can after the can loses all the soda? cm (c) What happens to h as the soda drains out? Select rises to the top decreases then rises again stays the same decreases to the bottom (d) If x is the height of the remaining soda at any give instant, find x when the com reaches its lowest point. cm

Jennifer
a) The center of mass of the can is halfway up; the center of mass of the soda in the can is also halfway up when the can is full of soda, so the center of mass is
(0.135*(12.4/2) + 1.25*(12.4/2))/(0.135+1.25)
b) After the can loses all the soda, the center of mass is the center of mass of the can, which is halfway up or 12.4/2
c)
x/12.4 is the percentage of soda that has been drained out.
The center of mass of the remaining soda is x/2. The mass of the remaining soda is 1.25*(x/12.4)
Therefore, the COM of the system of the can + soda is:
h = (0.135*(12.4/2) + 1.25*(x/12.4)*(x/2))/(0.135+1.25*(x/12.4)
Graph this function, and see what happens to it as a function of h
d) Evaluate dh/dx = 0
Respond to this Question
Similar Questions

Science
what does a soda can do? what materials are used in making a soda can and why? 
SCIENCE
what does a soda CAN do? what materials are used in making a soda CAN and why? 
Math
The volumes of soda in quart soda bottles are normally distributed with a mean of 32.3 oz and a standard deviation of 1.2 oz. What percentage of bottles contain less than 32 oz of soda? 
Physics
A con of soda displaces 3.79 * 10^4 m^3 of water when completely submerged. Each 0.018 kg can contains 3.54 * 10^4 m^3. Compare the buoyant force on a can of diet soda of density 1001 kg/m^3 to the force on a can of regular soda … 
college math
The ratio of soda to diet soda in Bill's Supermarket is 8 to 9. If a person counted 72 bottles of soda, how many bottles of diet soda are there? 
English
e.g. I have a soda to recommend. ( What is 'soda'? 
Chemistry
In the space below, show your work for determining the volume, mass, and moles of baking soda Moles of baking soda reacted Mass of baking soda reacted (g) Volume of baking soda reacted 140 ml of vinegar 5 tsps of baking soda were used 
statistics
The volumes of soda in quart soda bottles are normally distributed with a mean of 32.3 oz and a standard deviation of 1.2 oz. What is the probability that the volume of soda in a randomly selected bottle will be less than 32 oz? 
health
1.Why is soda considered bad for your teeth, particularly if you do not brush regularly? 
health
What is soda or soda pop? Is coke soda? What other drinks is soda?