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

  1. 0
  2. 17
asked by Hailey56
  1. 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

    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

    posted by Jennifer

Respond to this Question

First Name

Your Response

Similar Questions

  1. English

    e.g. I have a soda to recommend. ( What is 'soda'? Are both Coke and Cola a soda? Is 'soda' different from 'soda water' or 'soda pup'?)
  2. health

    1.Why is soda considered bad for your teeth, particularly if you do not brush regularly? a) soda adds plaque to your teeth after drinking it b) soda does not completely rinse the excess food from teeth. c) soda eats away the
  3. health

    What is soda or soda pop? Is coke soda? What other drinks is soda? Could you mame them?
  4. 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
  5. science

    Hi. I am conducting a science experiment to present to a class. Details of experiment below. Materials: 1 can of non-diet soda 1 can of diet soda 2 buckets of water 1. Fill bucket 2. Put can of non-diet soda into a bucket of
  6. 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?
  7. Microeconomics - Cournot

    X is a monopolist of a soda source that costlessly burbles forth as much soda as X cares to bottle. It costs X $2 per gallon to bottle this soda. The inverse demand curve for X’s soda is p(y) = 20 – 0.2y, where p is the price
  8. 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
  9. Chemistry

    I titrated 0.25g of soda ash mixed with 25mL of deionized water and it took 43.7mL of hydrochloric acid to complete the titration. I am trying to figure out how to find the moles of sodium carbonate in the soda ash and then the
  10. Statistics

    The amount of soda a dispensing machine pours into a 12 ounce can of soda follows a normal distribution with a standard deviation of 0.12 ounces. Every can that has more than 12.30 ounces of soda poured into it causes a spill and

More Similar Questions