2- The density of ice is 917 kg/m 3 , and the density of sea water is 1025 kg/m

Question

2- 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 4.59 m3. What is the weight of the heaviest bear that the ice can support without sinking completely beneath the water?

an airtight box has a removable lid of area 1.20 times 10-2 m2 and negligible weight. The box is taken up a mountain where the air pressure outside the box is 9.50 times 104 Pa. The inside of the box is completely evacuated. What is the magnitude of the force required to pull the lid off the box? 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 4.59 m3. What is the weight of the heaviest bear that the ice can support without sinking completely beneath the water? An airtight box has a removable lid of area 1.20 times 10-2 m2 and negligible weight. The box is taken up a mountain where the air pressure outside the box is 9.50 times 104 Pa. The inside of the box is completely evacuated. What is the magnitude of the force required to pull the lid off the box?

Explanation / Answer

Given
Area of a lid, A = 1.20 *10^-2m^2
pressure, p = 9.50 *10^4 Pa
Magnitude of Force,F = P *A
= (9.50 *10^4 Pa) *(1.20 *10^-2m^2)
F = 1140 N

2)
2)Density of ice = 917 kg/m^3
Volume of ice = 4.59 m^3
Mass of ice = Volume x Density
= 917 x 4.59 = 4209.03 kg,,,,,,,,,,,,,,
Weight of ice = mass x g =4209.03 x 9.8 = 41248.494 N................
Density of sea water = 1025 kg/m^3.......
When the bear is on top, the WHOLE ice will b submerged,
meaning the whole volume of the ice is underwater.
Buoyant force = V(d)(g) ,
where V is the volume of ice,
d is the density of the SEA WATER,
g is the gravitational acceleration.
Buoyant force = (4.59 )(1025)(9.8) =46106.55 N,,,,
The weight of the bear = Buoyant force - Weight of ice =
46106.55N - 41248.494N =4858.056 N,,,,,,,,,,,,,,,,,,

Mass of bear = Weight of bear / 9.8 = 4858.056 / 9.8 = 495.72kg

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