Answer to Question #102216 in Physics for Nyx

Question #102216
An object weighing 296 N in air is immersed
in water after being tied to a string connected
to a balance. The scale now reads 265 N .
Immersed in oil, the object appears to weigh
272 N .
Find the density of the object.
Answer in units of kg/m3.
Don't round answer.

Find the density of the oil.
Answer in units of kg/m3.
1
Expert's answer
2020-02-05T12:27:57-0500

WWw=ρwgVW-W_w=\rho_wgV

296265=1000(9.8)V296-265=1000(9.8)V

V=0.00316 m3V=0.00316\ m^3

Thus,


ρobject=WgV\rho_{object}=\frac{W}{gV}

ρobject=296(0.00316)(9.8)=9560kgm3\rho_{object}=\frac{296}{(0.00316)(9.8)}=9560\frac{kg}{m^3}

WWo=ρogVW-W_o=\rho_ogV

296272=ρo(9.8)(0.00316)296-272=\rho_o(9.8)(0.00316)

ρo=775kgm3\rho_{o}=775\frac{kg}{m^3}


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