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A scale is submerged at the bottom of a pool and then a 1kg block of...

Question

A scale is submerged at the bottom of a pool and then a 1kg block of...

1) A scale is submerged at the bottom of a pool and then a 1kg block of aluminum swimming is placed on it. If the scale reads newtons, what does the scale read with the block on it? ON 2) A large rubber balloon has a mass of 0.3kg. To make it float in air, you begin inflating it with Helium. What volume will the balloon have when it barely floats in the air?


A scale is submerged at the bottom of a pool and then a 1kg block of aluminum swimming is placed on it. If the scale reads newtons, what does the scale read with the block on it? A large rubber balloon has a mass of 0.3kg. To make it float in air, you begin inflating it with Helium. What volume will the balloon have when it barely floats in the air?

Answers

density of aluminium=2830 kg /m^3

volume of block = mass / density = 1 kg/ 2830 = 3.553 x 10^-4 m^3

Scale reading = Weight - buoyant force = mg - \rhoVg = 1 (9.8 ) - 1000 ( 3.553 x 10^-4) 9.8 = 9.8 - 3.48 = 6.32 N apprx

b) for floating , weight of ballon=  buoyant force

0.3 (9.8) = \rho Vg ( where \rho of air=1.2 kg/m^3)

V = 0.25 m^3


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