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# Answer to Question #102218 in Mechanics | Relativity for Nyx

Question #102218
A beaker of mass 1.1 kg containing 3.2 kg of
water rests on a scale. A 2.1 kg block of a
metallic alloy of density 5200 kg/m3
is suspended from a spring scale and is submerged
in the water of density 1000 kg/m3 as shown in the figure.
What does the hanging scale read? The
acceleration of gravity is 9.8 m/s2. Answer in units of N.

2.What does the lower scale read?
Answer in units of N.
1
2020-02-06T09:32:21-0500

Total mass on bottom scale

"m=1.1+2.1=3.2\\ kg"

Volume of metal block

"V=\\frac{3.2}{5200}=6.15\\cdot 10^{-4}\\ m^3"

Mass of water displaced

"m_w=1000(6.15\\cdot 10^{-4})=0.615\\ kg"

The hanging scale reading:

"F_1=(3.2-0.615)(9.8)=25.33\\ N"

The lower scale reading

"F_2=(3.2+0.615)(9.8)=37.39\\ N"

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