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A staircase contains three steps each 1...

A staircase contains three steps each 10 cm high and 20 cm wide as shown in the figure. What should be the minimum horizontal velocity of a ball rolling off the uppermost plane so as to hit directly the edge of the lowest plane ? `[g=10 m//s^(2)]`

Text Solution

Verified by Experts

`h=30 cm`
`S=60 cm = v sqrt((2h)/(g))`
`=v sqrt((2xx30)/(1000))=v sqrt((3)/(50))`
`:. V=(60)/(100) sqrt((50)/(3))=(3)/(4)xx sqrt((2)/(3))= sqrt(3) xx sqrt(2)`
`=2.45 m//s`
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