Answer to Question #90377 in Mechanics | Relativity for Ayomide

Question

A body of mass 3kg and volume 4×10^-4m^3 is hung from balance graduated in newtons. What is the reading of the balance when the body is;
a. In air
b. Fully immersed in water
c. ⅓ immersed in water
d. Fully immersed in paraffin.(Density of water is 10^3kgn^-3 and Density of paraffin is 800kgm^-3)

Answer 1

a.

$$W=mg=(3)(9.8)=29.4\ N$$

b.

$$F=mg-\rho gV=(3)(9.8)-(1000)(9.8)(0.0004)=25.5\ N$$

c.

$$F=mg-\frac{1}{3}\rho gV=(3)(9.8)-\frac{1}{3}(1000)(9.8)(0.0004)=25.2\ N$$

d.

$$F=mg-\rho_p gV=(3)(9.8)-(800)(9.8)(0.0004)=26.3\ N$$