A ball rolls off the top of a stairway with horizontal velocity u. The steps are 0.1m high and 0.1m wide. The minimum velocity u with which that ball just hits the step 5 of the stairway will be xs^-…

Question

A ball rolls off the top of a stairway with horizontal velocity u. The steps are 0.1m high and 0.1m wide. The minimum velocity u with which that ball just hits the step 5 of the stairway will be xs^-1 where x= _______ [use g=10m/s^2 ].

Accepted Answer

Correct answer: 2. (2) The ball needs to just cross 4 steps to just hit 5^ th step Therefore, horizontal range (R )=0.4m R=u .t Similarly, in vertical direction h= 12 gt^20.4= 12 gt^20.4= 12g ( 0.4u )^2u^2=2u= 2m/s Therefore, x=2

$A ball rolls off the top of a stairway with horizontal velocity u . The steps are 0.1 m high and 0.1 m wide. The minimum velocity u with which that ball just hits the step 5 of the stairway will be x s^{- 1} where x =_______ [use g = 10 m / s^{2}].$

Solution

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