A block of mass 1 kg and density 0.8 [latex]g/cm^3[/latex] is held stationary with the help of a string as shown in figure. The block is completely immersed into the water filled in tank.If the tank is accelerating vertically upwards with an acceleration a = 2[latex]m/s^2[/latex]. Find the tension in the string. | PCM TUTORIALS

A block of mass 1 kg and density 0.8 g/cm^3 is held stationary with the help of a string as shown in figure. The block is completely immersed into the water filled in tank.If the tank is accelerating vertically upwards with an acceleration a = 2 m/s^2.

(i) Find the tension in the string.

(A) 3 N

(B) 2 N

(C) 3.5 N

(D) 5.5 N

Solution

Let V = Volume of body

\rho = density of block = 0.8 \frac{g}{cm^3}=800\frac{kg}{m^3}