Question

If a 6-m cylindrical bar has a constant density of p= 5 g/cm for its left half and a constant density p = 6 g/cm for its right half, what is its mass?

Answer 1

Answer:3.3 kg

Explanation:

Given

Length of cylindrical bar $L=6 m$

Density on left side $\rho_1=5 gm/cm$

Density on Right side $\rho_2=6 gm/cm$

Mass on left side with length $L_1=\frac{6}{2}=3 m$

$m_1=\rho_1\times L_1=5\times 300=1500 gm$

Mass on Right side with length $L_2=\frac{6}{2}=3 m$

$m_2=\rho_2\times L_2=6\times 300=1800 gm$

total mass $M=1500+1800=3300 gm\approx 3.3\ kg$