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Archimedes' Principle

A block of ma...

Question

A block of mass $1 k g$ and density $0.8 g c m^{- 3}$ is held stationary with the help of a string as shown in the figure. The tank is accelerating vertically upwards with a constant acceleration $a_{0} = 1 m s^{- 2}$ . Find the acceleration of the block, when the string is cut.
(Given, $f = 10 m s^{- 2}$ and $ρ_{w a t e r} = 1000 k g m^{- 3})$ .

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Solution

First, we have to find the tension in the string
$1 + 10 + T = \frac{1}{800} \times 1000 \times 10 T = 1.25 N a = \frac{1.25}{1} = 1.25 m / s^{2}$

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