When a block of volume 1.00 × 10 - ³ m³ is hung from a spring scale as shown in Figure A,the scale reads 10.0 N.When the same block is then placed in an unknown liquid,it floats with 2/3 of its volume submerged as suggested in Figure B.The density of water is 1.00 × 10³ kg/m³.

-Determine the mass of the block.
A)1.02 kg
B)2.02 kg
C)3.02 kg
D)4.04 kg
E)9.80 kg

Question

When a block of volume 1.00 × 10 - ³ m³ is hung from a spring scale as shown in Figure A,the scale reads 10.0 N.When the same block is then placed in an unknown liquid,it floats with 2/3 of its volume submerged as suggested in Figure B.The density of water is 1.00 × 10³ kg/m³.
 
-Determine the mass of the block.
A)1.02 kg 
B)2.02 kg 
C)3.02 kg 
D)4.04 kg 
E)9.80 kg

Quizplus · Accepted Answer

From the information given, we can use the fact that the block is floating to determine its density. When the block is in water, the buoyant force on the block is equal to its weight, so: density of water x volume of submerged block x g = weight of block 1.00 x 10³ kg/m³ x (2/3) x 1.00 × 10^-³ m³ x 9.81 m/s² = (mass of block) x 9.81 m/s² Simplifying this equation, we get: mass of block = (1.00 x 10³ kg/m³) x (2/3) x 1.00 × 10^-³ m³ = 2.02 kg Therefore, the correct answer is B) 2.02 kg.

When a Block of Volume 1