Ball released from height 10 m strikes ground and rebounds height 5 m. Find impulse imparted by ground while collision, given mass of ball is 100 g. (Take g = 10 m/s²)

Option 1 - ( <math> <mrow> <mroot> <mrow> <mn>2</mn> </mrow> <mrow></mrow> </mroot> </mrow> </math> – 1) Ns

Option 2 - ( <math> <mrow> <mroot> <mrow> <mn>2</mn> </mrow> <mrow></mrow> </mroot> </mrow> </math> + 2) Ns

Option 3 - (2 <math> <mrow> <mroot> <mrow> <mn>2</mn> </mrow> <mrow></mrow> </mroot> </mrow> </math> − 1) Ns

Option 4 - ( <math> <mrow> <mroot> <mrow> <mn>2</mn> </mrow> <mrow></mrow> </mroot> </mrow> </math> + 1) Ns

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Alok Kumar Singh | Contributor-Level 10

4 months ago

Correct Option - 4

Detailed Solution:

$v_{1} = \sqrt[]{2 g 10}$

$v_{2} = \sqrt[]{2 g 5}$

$\vec{l} = Δ \vec{p}$

$l = 0.1 {\sqrt[]{2 g 10} + \sqrt[]{2 g 5}}$

$= 0.1 {10 \sqrt[]{2} + 10}$

$= (\sqrt[]{2} + 1) N s$

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Ball released from height 10 m strikes ground and rebounds height 5 m. Find impulse imparted by ground while collision, given mass of ball is 100 g. (Take g = 10 m/s2)

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