physics

posted by .

A rectangular block of ice 10 m on each side and 1.1 m thick floats in sea water. The density of the sea water is 1025 kg/m3. The density of ice is 917 kg/m3.


a) How high does the top of the ice block float above the water level?

m *
.116 OK

HELP: Use Archimedes' Priciple.

b) How many penguins of mass 27 kg each can stand on the ice block before they get their feet wet?


4 NO

HELP: Their feet will get wet if the ice block sinks below the water surface.

Just need b

  • physics -

    total volume of ice = 100*1.1 = 110m^3
    mass of ice = 917*110 = 100870 kg
    that is the mass of water displaced (Archimedes)
    so
    volume of water displaced = 100870/1025
    =98.41m^3
    so
    100m^2 * x = 98.41 where x is the draft
    x = .984 m
    so height out of water = 1.1-.984 = .116m
    added mass of penguins = 27 n
    mass of water displaced by penquin mass = 1025*100*.116
    so
    27 n = 1025*100*.116
    n = 440

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. physics

    A rectangular block of ice 8 m on each side and 1.5 m thick floats in sea water. The density of the sea water is 1025 kg/m3. The density of ice is 917 kg/m3. a) How high does the top of the ice block float above the water level?
  2. physics

    A rectangular block of ice 10 m on each side and 1.1 m thick floats in sea water. The density of the sea water is 1025 kg/m3. The density of ice is 917 kg/m3. a) How high does the top of the ice block float above the water level?
  3. Physics

    density of ice 917 kg/m^3, density of sea water is 1025 kg/m^3, a piece of ice floating has a volume of 5.2 m^3, what is the weight of the heaviest bear the ice can support without sinking?
  4. physics

    The density of ice is 917 kg/m3, and the density of sea water is 1025 kg/m3. A swimming polar bear climbs onto a piece of floating ice that has a volume of 4.41 m3. What is the weight of the heaviest bear that the ice can support without …
  5. physics

    The density of ice is 917 kg/m3, and the density of sea water is 1025 kg/m3. A swimming polar bear climbs onto a piece of floating ice that has a volume of 3.25 m3. What is the weight of the heaviest bear that the ice can support without …
  6. physics

    The density of ice is 917 kg/m3, and the density of sea water is 1025 kg/m3. A swimming polar bear climbs onto a piece of floating ice that has a volume of 5.34 m3. What is the weight of the heaviest bear that the ice can support without …
  7. physics

    The density of ice is 917 kg/m3, and the density of sea water is 1025 kg/m3. As shown is the figure, a polar bear climbs onto a piece of ice, which has a volume of 5.75 m3, and is floating in sea water. a) What is the mass of the piece …
  8. general physics

    The density of ice is 917 kg/m3, and the density of sea water is 1025 kg/m3. A swimming polar bear climbs onto a piece of floating ice that has a volume of 6.76 m3. What is the weight of the heaviest bear that the ice can support without …
  9. PHYSICS

    The density of ice is 917 kg/m3, and the density of sea water is 1025 kg/m3. A swimming polar bear climbs onto a piece of floating ice that has a volume of 5.70 m3. What is the weight of the heaviest bear that the ice can support without …
  10. Dr vsec

    The density of water of ice is 0.917gm/cm-3 and the density of sea water is 1.03gm/cm-3.calculate the ratio volume of ice outside to the volume of ice which is inside the sea water

More Similar Questions