A ball rolls off the top of a stairway with horizontal velocity 𝑣0𝑚𝑠 −1. If the steps are ℎ meter high and 𝑤 meter wide, the ball will hit the edge of 𝑛 th step if

April 20, 2022

by Ezee_Notes

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Physics Problems

Question: A ball rolls off the top of a stairway with horizontal velocity 𝑣0𝑚𝑠 −1. If the steps are ℎ meter high and 𝑤 meter wide, the ball will hit the edge of 𝑛 th step if

(A) $n=\dfrac{2hV_{0}}{gw^{2}}$

(B) $n=\dfrac{2hv_{0}^{2}}{gw }$

(D) $n=\dfrac{2hv_{0}^{2}}{gw^{2} }$

Answer: option (D)

Solution:

A ball rolls off the top of a stairway with horizontal velocity 𝑣0𝑚𝑠 −1. If the steps are ℎ meter high and 𝑤 meter wide, the ball will hit the edge of 𝑛 th step if