Chapter 15 43) A solid block is attached to a spring scale. When the block is su
ID: 2155757 • Letter: C
Question
Chapter 1543) A solid block is attached to a spring scale. When the block is suspended in air, the scale reads 20.0 N; when it is completely immersed in water, the scale reads 17.7 N. What are (a) the volume and (b) the density of the block?
44) As in the previous problem (43), a solid block is suspended from a spring scale. If the reading on the scale when the block is completely immersed in water is 25.0 N and the reading when it is completely immersed in alcohol of density 806 kg/m^3 is 25.7 N, what are (a) the block's volume and (b) density?
Explanation / Answer
a) Force = Density x Volume x gravity acceleration
Force = 20 - 17.7 = 2.3 N
Density of water = 1000 Kgm^-3
Gravity acceleration = 8.8
Volume = ??
2.3 = 1000 x (volume ) x (9.8)
Volume =2.3469x 10^ -4 m^3
Now volume of water displaced is Volume of Block
Volume of Block = 2.3469 x 10^ -4 m^3
b) Density = mass / volume
mass = 20 / 9.8 = 2.3469 Kg
Volume = 2.3469 x 10^ -4 m^-3
Density = 3.06122449 /2.3469 x 10^ -4
Density =13043.69377 Kgm^-3
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