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Standard IX

Physics

Archimedes' Principle

If the thread...

Question

If the thread snaps, calculate the acceleration of sphere (in $m / s^{2}$ ) with respect to the tank.[Density of water $= 1000 k g / m^{3}, g = 10 m / s^{2}$ ]

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Solution

If the thread snaps, the forces acting on the sphere are
$m g$ downwards,
$V d g$ upwards
pseudo force $m a$ downwards
Hence acceleration of sphere upwards= $a^{'} = \frac{1}{m} (V d g - m g - m a)$
$= 8 m / s^{2}$

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If the thread snaps, calculate the acceleration of sphere (in m/s2) with respect to the tank.[Density of water =1000kg/m3,g=10m/s2]

If the thread snaps, the forces acting on the sphere aremg downwards,Vdg upwardspseudo force ma downwardsHence acceleration of sphere upwards=a′=1m(Vdg−mg−ma)=8m/s2

If the thread snaps, calculate the acceleration of sphere (in $m / s^{2}$ ) with respect to the tank.[Density of water $= 1000 k g / m^{3}, g = 10 m / s^{2}$ ]

If the thread snaps, the forces acting on the sphere are
$m g$ downwards,
$V d g$ upwards
pseudo force $m a$ downwards
Hence acceleration of sphere upwards= $a^{'} = \frac{1}{m} (V d g - m g - m a)$
$= 8 m / s^{2}$