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A small ball of volumeV and densityrho is held inside a cubical containerof sideL filled with an idealliquidof density4 rho as.Nowif thecontainerstartedmovingwithconstant acceleration a and theball it hitsthe topcornerpoint Q of the container. Thenfindthe valueof k .Giveng = 10 m//s^(2)

Answer»

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


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