Problem 8:
A vertically downward force of magnitude 10 N is required to immerse a homogeneous object of weight 40 N completely in water. What is the density of the object?
ρwgmρ=P+F,\rho_w g\frac m\rho =P+F,ρwgρm=P+F,
ρwρP=P+F,\frac {\rho _w}{\rho}P=P+F,ρρwP=P+F,
ρwρ=P+FP,\frac{\rho_w}{\rho}=\frac{P+F}P,ρρw=PP+F,
ρ=ρwPP+F,\rho=\rho_w\frac P{P+F},ρ=ρwP+FP,
ρ=800 kgm3.\rho=800~\frac {kg}{m^3}.ρ=800 m3kg.
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