Question no. 105: How much force is needed to hold a
1000 kg iron anchor, when it is completely immersed in
seawater of density 1.03 x 109 kg/m®? (Density of iron is
7.8 x 10 kg/m)
1) 8508 N
2) 850.8 N
3) 1293 N
4) none of these
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Explanation:
Given How much force is needed to hold a 1000 kg iron anchor, when it is completely immersed in seawater of density 1.03 x 10^3 kg/m®?
- Principle of Archimedes states when a body is immersed partially or completely in a liquid it experiences an apparent loss in weight which is equal to the weight of the fluid displaced by the body.
- So density of iron = 7870 kg/m^3
- So density = mass / volume
- Volume of anchor will be 1000 / 7870 = 0.127
- So volume of water displaced is equal to the volume of anchor.
- Now weight of water displaced
- mass = volume x density
- = 0.127 x 1030 x 9.81
- = 1283.90 N
- Weight of anchor in air = 1000 x 9.81
- = 9810 N
- So weight of anchor in water = 9810 – 1283.90
- = 8526.1 N
- Therefore the force required to support the anchor in water will be 8526.1 N
Reference link will be
https://brainly.in/question/26248778
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