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A small ball of volume V and density r...

A small ball of volume V and density ` rho` is held inside a cubical container of side L filled with an ideal liquid of density `4 rho` as .Now if the container started moving with constant acceleration a and the ball it hits the top corner point Q of the container . Then find the value of k . Given ` g = 10 m//s^(2)`

Text Solution

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Acceleration of the ball in y direction will be ` a_(y) = (4 rho Vg - rho Vg)/(rho V) = 3g`
For the ball to hit the top of the container
` L/2 = 1/2 3"gt"^(2) rArr t - sqrt(L/(3g))`
In the frame of container , along the container
`( 4 delta _(a)-deltav_(a))/(deltav) = 3a, 1/2 3at^(2) = L `
`rArr a = 2g `
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