A ball falls vertically onto a floor with momentum p and then bounces repeatedly. If coefficient of restitution is e, then the total momentum imparted by the ball to the floor is

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.

An Intiative by Sri Chaitanya

$p (\frac{1 + e}{1 - e})$

$p (\frac{1 - e}{1 + e})$

$\frac{p}{1 - e}$

$p (1 + e)$

answer is D.

(Unlock A.I Detailed Solution for FREE)

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

$\begin{array}{l} Δ P_{1} = (1 + e) P \\ Δ P_{2} = (1 + e) e P \end{array}$

And so on,

$\begin{matrix} Δ P_{Total} = Δ P_{1} + Δ P_{2} \\ = (1 + e) P (1 + e + e^{2} + \dots) \\ = (\frac{1 + e}{1 - e}) P \end{matrix}$

Watch 3-min video & get full concept clarity

No courses found

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test