Question

A ball released from a height of 10m strikes the ground and rebounds to height 5m, Find impulse imparted by the ground while collision, given mass of the ball is 100g (take \(g\) = \(10\;m / s ^ 2\))

• A. \((\sqrt{2} - 1) Ns\)
• B. \((\sqrt2 + 2) Ns\)
• C. \((2\sqrt2 - 1) Ns\)
• D. \((\sqrt2 + 1) Ns\)

Answer 1

The Correct Option is D

\(v_1 = \sqrt{2g10}\)

\(v_2 = \sqrt{2g5}\)

\(\vec{I} = \triangle \vec{p}\)

\(I = 0.1(\sqrt{2g10} + \sqrt{2g5})\)

\(I= 0.1 (10\sqrt2 \,+ 10)\)

\(I=(\sqrt2 + 1)Ns\)

Therefore, The Correct Option is (D):  \((\sqrt2 + 1)Ns\).