(a) A block of ice of mass 150 kg is floating in a fresh-water lake. The density of the water is 1000 kg m. Determine (i) the upthrust on the ice, (ii) the weight of water displaced, (iii) the volume of water displaced, (iv) the volume of water produced when all the ice melts.

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Chapter1: Units, Trigonometry. And Vectors
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(a) A block of ice of mass 150 kg is floating in a fresh-water lake. The density of the water is
1000 kg m. Determine
(i)
the upthrust on the ice,
(ii)
the weight of water displaced,
(iii) the volume of water displaced,
(iv) the volume of water produced when all the ice melts.
(b) Explain why, when ice floating in a jug of water melts, there is no change in the level of
the water.
(c)
The following figure shows an object that is not in equilibrium partially submerged in
water.
The density of the object is uniform and is less than the density of water.
(i) Make a rough copy of the figure. Draw arrows on your copy to show the weight of
the object and the upthrust. Pay particular attention to the relative positions of the
lines of action of the two forces.
(ii)
Describe what will happen to the object and suggest its approximate final position
after is comes to equilibrium.
Transcribed Image Text:(a) A block of ice of mass 150 kg is floating in a fresh-water lake. The density of the water is 1000 kg m. Determine (i) the upthrust on the ice, (ii) the weight of water displaced, (iii) the volume of water displaced, (iv) the volume of water produced when all the ice melts. (b) Explain why, when ice floating in a jug of water melts, there is no change in the level of the water. (c) The following figure shows an object that is not in equilibrium partially submerged in water. The density of the object is uniform and is less than the density of water. (i) Make a rough copy of the figure. Draw arrows on your copy to show the weight of the object and the upthrust. Pay particular attention to the relative positions of the lines of action of the two forces. (ii) Describe what will happen to the object and suggest its approximate final position after is comes to equilibrium.
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