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A solid block is attached to a spring scale. When the

Chapter 15, Problem 43P

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QUESTION:

Problem 43P

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?

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QUESTION:

Problem 43P

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?

ANSWER:

Part (a)

Step 1 of 4:

A solid block is immersed completely in water and the weight measured inside the water is smaller than that of the original weight. The volume of water displaced by the block is equal to the volume of the block. This is explained by Archimedes.

The original weight of the block W1 = 20 N

The weight inside the water W2 = 17.7 N

The acceleration due to gravity g = 9.8 kg/m2

The density of water ? = 1000 kg/m3

The weight displaced by the block

W = W1 - W2

W = 20 -17.7

W = 2.3 N

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