SATHEE: Kinematics Question 625

Kinematics Question 625

Question: A ball rolls off to the top of a staircase with a horizontal velocity u m/s. If the steps are h meter high and b meter wide, the ball will hit the edge of the nth step, if

Options:

A) $n = \frac{2 h u}{g b^{2}}$

B) $n = \frac{2 h u^{2}}{g b}$

C) $n = \frac{2 h u^{2}}{g b^{2}}$

D) $n = \frac{h u^{2}}{g b^{2}}$

Show Answer

Answer:

Correct Answer: C

Solution:

[c] If the ball his the nth step, then the horizontal distance traversed = nh.

Here, the velocity along the horizontal direction = u. Initial velocity along the vertical direction = 0.

So $n b = u t$ …(i)

$n h = 0 + \frac{1}{2} g t^{2}$ …(ii).

From $t = \frac{n b}{v},$ putting in eq. (ii)

$n h = \frac{1}{2} g \times {(\frac{n b}{u})}^{2}$ or $n = \frac{2 h u^{2}}{g b^{2}}$

Privacy Policy

Powered by Prutor@IITK

sathee@iitk.ac.in

Media coverage of SATHEE

Play Store

App Store

Ask SATHEE

Welcome to SATHEE !
Select from 'Menu' to explore our services, or ask SATHEE to get started. Let's embark on this journey of growth together! 🌐📚🚀🎓

I'm relatively new and can sometimes make mistakes.
If you notice any error, such as an incorrect solution, please use the thumbs down icon to aid my learning.
To begin your journey now, click on "I understand".

Kinematics Question 625

Question: A ball rolls off to the top of a staircase with a horizontal velocity u m/s. If the steps are h meter high and b meter wide, the ball will hit the edge of the nth step, if

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

Menu