03. Elastic and Inelastic Collision
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Work, Energy and Power

149175 A ball is projected vertically down with an initial velocity from a height $10 \mathrm{~m}$ onto a horizontal floor. During the impact it loses $20 \%$ of the energy and rebounds to the same height. What is the initial velocity of its projection?
(Use $\mathrm{g}=\mathbf{1 0} \mathrm{m} / \mathrm{s}^{2}$ )

1 $5 \sqrt{2} \mathrm{~m} / \mathrm{s}$
2 $10 \sqrt{3} \mathrm{~m} / \mathrm{s}$
3 $5 \sqrt{3} \mathrm{~m} / \mathrm{s}$
4 $10 \sqrt{2} \mathrm{~m} / \mathrm{s}$
Work, Energy and Power

149176 A tennis ball hits the floor with a speed $v$ at an angle $\theta$ with the normal to the floor. If the collision is inelastic and the coefficient of restitution is $\varepsilon$, what will be the angle of reflection?

1 $\tan ^{-1}\left(\frac{\tan \theta}{\varepsilon}\right)$
2 $\sin ^{-1}\left(\frac{\sin \theta}{\varepsilon}\right)$
3 $\theta \varepsilon$
4 $\theta \frac{2 \varepsilon}{\varepsilon+1}$
Work, Energy and Power

149177 A block of mass ' $m$ ' collides with another stationary block of mass ' $2 \mathrm{~m}$ '. The lighter block comes to rest after collision. If the velocity of first block is ' $u$ ', then the value of coefficient of restitution is

1 0.8
2 0.4
3 0.5
4 0.6
Work, Energy and Power

149178 A block of mass ' $m$ ' moving on a frictionless surface at speed ' $V$ ' collides elastically with a block of same mass, initially at rest, Now the first block moves at an angle ' $\theta$ ' with its initial direction and has speed ' $V_{1}$ '. The speed of the second block after collision is

1 $\sqrt{\mathrm{V}^{2}-\mathrm{V}_{1}^{2}}$
2 $\sqrt{\mathrm{V}_{1}^{2}-\mathrm{V}^{2}}$
3 $\sqrt{\mathrm{V}^{2}+\mathrm{V}_{1}^{2}}$
4 $\sqrt{\mathrm{V}-\mathrm{V}_{1}}$
Work, Energy and Power

149175 A ball is projected vertically down with an initial velocity from a height $10 \mathrm{~m}$ onto a horizontal floor. During the impact it loses $20 \%$ of the energy and rebounds to the same height. What is the initial velocity of its projection?
(Use $\mathrm{g}=\mathbf{1 0} \mathrm{m} / \mathrm{s}^{2}$ )

1 $5 \sqrt{2} \mathrm{~m} / \mathrm{s}$
2 $10 \sqrt{3} \mathrm{~m} / \mathrm{s}$
3 $5 \sqrt{3} \mathrm{~m} / \mathrm{s}$
4 $10 \sqrt{2} \mathrm{~m} / \mathrm{s}$
Work, Energy and Power

149176 A tennis ball hits the floor with a speed $v$ at an angle $\theta$ with the normal to the floor. If the collision is inelastic and the coefficient of restitution is $\varepsilon$, what will be the angle of reflection?

1 $\tan ^{-1}\left(\frac{\tan \theta}{\varepsilon}\right)$
2 $\sin ^{-1}\left(\frac{\sin \theta}{\varepsilon}\right)$
3 $\theta \varepsilon$
4 $\theta \frac{2 \varepsilon}{\varepsilon+1}$
Work, Energy and Power

149177 A block of mass ' $m$ ' collides with another stationary block of mass ' $2 \mathrm{~m}$ '. The lighter block comes to rest after collision. If the velocity of first block is ' $u$ ', then the value of coefficient of restitution is

1 0.8
2 0.4
3 0.5
4 0.6
Work, Energy and Power

149178 A block of mass ' $m$ ' moving on a frictionless surface at speed ' $V$ ' collides elastically with a block of same mass, initially at rest, Now the first block moves at an angle ' $\theta$ ' with its initial direction and has speed ' $V_{1}$ '. The speed of the second block after collision is

1 $\sqrt{\mathrm{V}^{2}-\mathrm{V}_{1}^{2}}$
2 $\sqrt{\mathrm{V}_{1}^{2}-\mathrm{V}^{2}}$
3 $\sqrt{\mathrm{V}^{2}+\mathrm{V}_{1}^{2}}$
4 $\sqrt{\mathrm{V}-\mathrm{V}_{1}}$
Work, Energy and Power

149175 A ball is projected vertically down with an initial velocity from a height $10 \mathrm{~m}$ onto a horizontal floor. During the impact it loses $20 \%$ of the energy and rebounds to the same height. What is the initial velocity of its projection?
(Use $\mathrm{g}=\mathbf{1 0} \mathrm{m} / \mathrm{s}^{2}$ )

1 $5 \sqrt{2} \mathrm{~m} / \mathrm{s}$
2 $10 \sqrt{3} \mathrm{~m} / \mathrm{s}$
3 $5 \sqrt{3} \mathrm{~m} / \mathrm{s}$
4 $10 \sqrt{2} \mathrm{~m} / \mathrm{s}$
Work, Energy and Power

149176 A tennis ball hits the floor with a speed $v$ at an angle $\theta$ with the normal to the floor. If the collision is inelastic and the coefficient of restitution is $\varepsilon$, what will be the angle of reflection?

1 $\tan ^{-1}\left(\frac{\tan \theta}{\varepsilon}\right)$
2 $\sin ^{-1}\left(\frac{\sin \theta}{\varepsilon}\right)$
3 $\theta \varepsilon$
4 $\theta \frac{2 \varepsilon}{\varepsilon+1}$
Work, Energy and Power

149177 A block of mass ' $m$ ' collides with another stationary block of mass ' $2 \mathrm{~m}$ '. The lighter block comes to rest after collision. If the velocity of first block is ' $u$ ', then the value of coefficient of restitution is

1 0.8
2 0.4
3 0.5
4 0.6
Work, Energy and Power

149178 A block of mass ' $m$ ' moving on a frictionless surface at speed ' $V$ ' collides elastically with a block of same mass, initially at rest, Now the first block moves at an angle ' $\theta$ ' with its initial direction and has speed ' $V_{1}$ '. The speed of the second block after collision is

1 $\sqrt{\mathrm{V}^{2}-\mathrm{V}_{1}^{2}}$
2 $\sqrt{\mathrm{V}_{1}^{2}-\mathrm{V}^{2}}$
3 $\sqrt{\mathrm{V}^{2}+\mathrm{V}_{1}^{2}}$
4 $\sqrt{\mathrm{V}-\mathrm{V}_{1}}$
Work, Energy and Power

149175 A ball is projected vertically down with an initial velocity from a height $10 \mathrm{~m}$ onto a horizontal floor. During the impact it loses $20 \%$ of the energy and rebounds to the same height. What is the initial velocity of its projection?
(Use $\mathrm{g}=\mathbf{1 0} \mathrm{m} / \mathrm{s}^{2}$ )

1 $5 \sqrt{2} \mathrm{~m} / \mathrm{s}$
2 $10 \sqrt{3} \mathrm{~m} / \mathrm{s}$
3 $5 \sqrt{3} \mathrm{~m} / \mathrm{s}$
4 $10 \sqrt{2} \mathrm{~m} / \mathrm{s}$
Work, Energy and Power

149176 A tennis ball hits the floor with a speed $v$ at an angle $\theta$ with the normal to the floor. If the collision is inelastic and the coefficient of restitution is $\varepsilon$, what will be the angle of reflection?

1 $\tan ^{-1}\left(\frac{\tan \theta}{\varepsilon}\right)$
2 $\sin ^{-1}\left(\frac{\sin \theta}{\varepsilon}\right)$
3 $\theta \varepsilon$
4 $\theta \frac{2 \varepsilon}{\varepsilon+1}$
Work, Energy and Power

149177 A block of mass ' $m$ ' collides with another stationary block of mass ' $2 \mathrm{~m}$ '. The lighter block comes to rest after collision. If the velocity of first block is ' $u$ ', then the value of coefficient of restitution is

1 0.8
2 0.4
3 0.5
4 0.6
Work, Energy and Power

149178 A block of mass ' $m$ ' moving on a frictionless surface at speed ' $V$ ' collides elastically with a block of same mass, initially at rest, Now the first block moves at an angle ' $\theta$ ' with its initial direction and has speed ' $V_{1}$ '. The speed of the second block after collision is

1 $\sqrt{\mathrm{V}^{2}-\mathrm{V}_{1}^{2}}$
2 $\sqrt{\mathrm{V}_{1}^{2}-\mathrm{V}^{2}}$
3 $\sqrt{\mathrm{V}^{2}+\mathrm{V}_{1}^{2}}$
4 $\sqrt{\mathrm{V}-\mathrm{V}_{1}}$