Upthrust in Fluids, Archimedes' Principle and Floatation


Available Answers

  1. 1.

    A body weighs 200 gf in air and 190 gf when completely immersed in water. Calculate :

    1. the loss in weight or the body in water,
    2. the upthrust on the body.
  2. 2.

    A small stone of mass m (= 200 g) is held under water in a tall jar and is allowed to fall as shown in Fig. 5.7. The forces acting on stone are also shown.

                                                   

    1. What does F2 represent ?
    2. What does m1 represent ?
    3. What is the net force acting on stone ?
    4. What is the acceleration of Stone as it falls through water? Neglect the force due to viscosity. Assume that the volume of stone = 80 cm3, density of water = 1.0 g cm-3 and acceleration due to gravity g = 10 m s-2.
  3. 3.

    A piece or iron of density 7.8 x 103 kg m-3 and volume 100 is completely immersed in water ( ρ = 1000 kg m-3). Calculate : (i) the Weight of iron piece in air, (ii) the upthrust, and (iii) its apparent weight in water. (g = 10 m s-2)

  4. 4.

    A metal cube of side 5 cm and density 7.9 g cm-3 is suspended a thread and is immersed completely in a liquid of density 1.1 g cm-3  Find : (a) the weight of cube. (b) the upthrust on cube and (c) the tension in thread.

  5. 5.

    A solid of density  has weight W. Show that its apparent weight will be W[l - (ρ1/ρ)]   when it is completely immersed in a liquid of density ρ1.

  6. 6.

    What do you understand by the term upthrust of a fluid ? Describe an experiment to show its existence.

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