COLLISIONS
Work, Energy and Power

268685 A body of mass \(m\) moving at a constant velocity \(v\) hits another body of the same mass moving with a velocity \(v / 2\) but in the opposite direction and sticks to it. The common velocity after collision is

1 \(v\)
2 \(v / 4\)
3 \(2 \mathrm{v}\)
4 \(v / 2\)
Work, Energy and Power

268686 An \(8 \mathrm{gm}\) bullet is fired horizontally into a \(9 \mathrm{~kg}\) block of wood and sticks in it. The block which is free to move, has a velocity of \(40 \mathrm{~cm} /\) \(s\) after impact. The initial velocity of the bullet is

1 \(450 \mathrm{~m} / \mathrm{s}\)
2 \(450 \mathrm{~cm} / \mathrm{s}\)
3 \(220 \mathrm{~m} / \mathrm{s}\)
4 \(220 \mathrm{~cm} / \mathrm{s}\)
Work, Energy and Power

268687 A block of wood of mass \(9.8 \mathrm{~kg}\) is suspended by a string. A bullet of mass \(200 \mathrm{gm}\) strikes horizontally with a velocity of \(100 \mathrm{~ms}^{-1}\) and gets embedded in it. The maximum height attained by the block is \(\left(\mathrm{g}=10 \mathrm{~ms}^{-2}\right)\)

1 \(0.1 \mathrm{~m}\)
2 \(0.2 \mathrm{~m}\)
3 \(0.3 \mathrm{~m}\)
4 \(0 \mathrm{~m}\)
Work, Energy and Power

268688 A \(15 \mathrm{gm}\) bullet is fired horizontally into a \(3 \mathbf{~ k g}\) block of wood suspended by a string. The bullet sticks in the block, and the impact causes the block to swing \(10 \mathrm{~cm}\) above the initial level. The velocity of the bullet nearly is ( in \(\mathbf{~ m s}^{-1}\) )

1 281
2 326
3 184
4 58
Work, Energy and Power

268689 A body of mass \(20 \mathrm{gm}\) is moving with a certain velocity. It collides with another body of mass \(80 \mathrm{gm}\) at rest. The collision is perfectly inelastic. The ratio of the kinetic energies before and after collision of the system is

1 \(2: 1\)
2 \(4: 1\)
3 \(5: 1\)
4 \(3: 2\)
Work, Energy and Power

268685 A body of mass \(m\) moving at a constant velocity \(v\) hits another body of the same mass moving with a velocity \(v / 2\) but in the opposite direction and sticks to it. The common velocity after collision is

1 \(v\)
2 \(v / 4\)
3 \(2 \mathrm{v}\)
4 \(v / 2\)
Work, Energy and Power

268686 An \(8 \mathrm{gm}\) bullet is fired horizontally into a \(9 \mathrm{~kg}\) block of wood and sticks in it. The block which is free to move, has a velocity of \(40 \mathrm{~cm} /\) \(s\) after impact. The initial velocity of the bullet is

1 \(450 \mathrm{~m} / \mathrm{s}\)
2 \(450 \mathrm{~cm} / \mathrm{s}\)
3 \(220 \mathrm{~m} / \mathrm{s}\)
4 \(220 \mathrm{~cm} / \mathrm{s}\)
Work, Energy and Power

268687 A block of wood of mass \(9.8 \mathrm{~kg}\) is suspended by a string. A bullet of mass \(200 \mathrm{gm}\) strikes horizontally with a velocity of \(100 \mathrm{~ms}^{-1}\) and gets embedded in it. The maximum height attained by the block is \(\left(\mathrm{g}=10 \mathrm{~ms}^{-2}\right)\)

1 \(0.1 \mathrm{~m}\)
2 \(0.2 \mathrm{~m}\)
3 \(0.3 \mathrm{~m}\)
4 \(0 \mathrm{~m}\)
Work, Energy and Power

268688 A \(15 \mathrm{gm}\) bullet is fired horizontally into a \(3 \mathbf{~ k g}\) block of wood suspended by a string. The bullet sticks in the block, and the impact causes the block to swing \(10 \mathrm{~cm}\) above the initial level. The velocity of the bullet nearly is ( in \(\mathbf{~ m s}^{-1}\) )

1 281
2 326
3 184
4 58
Work, Energy and Power

268689 A body of mass \(20 \mathrm{gm}\) is moving with a certain velocity. It collides with another body of mass \(80 \mathrm{gm}\) at rest. The collision is perfectly inelastic. The ratio of the kinetic energies before and after collision of the system is

1 \(2: 1\)
2 \(4: 1\)
3 \(5: 1\)
4 \(3: 2\)
Work, Energy and Power

268685 A body of mass \(m\) moving at a constant velocity \(v\) hits another body of the same mass moving with a velocity \(v / 2\) but in the opposite direction and sticks to it. The common velocity after collision is

1 \(v\)
2 \(v / 4\)
3 \(2 \mathrm{v}\)
4 \(v / 2\)
Work, Energy and Power

268686 An \(8 \mathrm{gm}\) bullet is fired horizontally into a \(9 \mathrm{~kg}\) block of wood and sticks in it. The block which is free to move, has a velocity of \(40 \mathrm{~cm} /\) \(s\) after impact. The initial velocity of the bullet is

1 \(450 \mathrm{~m} / \mathrm{s}\)
2 \(450 \mathrm{~cm} / \mathrm{s}\)
3 \(220 \mathrm{~m} / \mathrm{s}\)
4 \(220 \mathrm{~cm} / \mathrm{s}\)
Work, Energy and Power

268687 A block of wood of mass \(9.8 \mathrm{~kg}\) is suspended by a string. A bullet of mass \(200 \mathrm{gm}\) strikes horizontally with a velocity of \(100 \mathrm{~ms}^{-1}\) and gets embedded in it. The maximum height attained by the block is \(\left(\mathrm{g}=10 \mathrm{~ms}^{-2}\right)\)

1 \(0.1 \mathrm{~m}\)
2 \(0.2 \mathrm{~m}\)
3 \(0.3 \mathrm{~m}\)
4 \(0 \mathrm{~m}\)
Work, Energy and Power

268688 A \(15 \mathrm{gm}\) bullet is fired horizontally into a \(3 \mathbf{~ k g}\) block of wood suspended by a string. The bullet sticks in the block, and the impact causes the block to swing \(10 \mathrm{~cm}\) above the initial level. The velocity of the bullet nearly is ( in \(\mathbf{~ m s}^{-1}\) )

1 281
2 326
3 184
4 58
Work, Energy and Power

268689 A body of mass \(20 \mathrm{gm}\) is moving with a certain velocity. It collides with another body of mass \(80 \mathrm{gm}\) at rest. The collision is perfectly inelastic. The ratio of the kinetic energies before and after collision of the system is

1 \(2: 1\)
2 \(4: 1\)
3 \(5: 1\)
4 \(3: 2\)
Work, Energy and Power

268685 A body of mass \(m\) moving at a constant velocity \(v\) hits another body of the same mass moving with a velocity \(v / 2\) but in the opposite direction and sticks to it. The common velocity after collision is

1 \(v\)
2 \(v / 4\)
3 \(2 \mathrm{v}\)
4 \(v / 2\)
Work, Energy and Power

268686 An \(8 \mathrm{gm}\) bullet is fired horizontally into a \(9 \mathrm{~kg}\) block of wood and sticks in it. The block which is free to move, has a velocity of \(40 \mathrm{~cm} /\) \(s\) after impact. The initial velocity of the bullet is

1 \(450 \mathrm{~m} / \mathrm{s}\)
2 \(450 \mathrm{~cm} / \mathrm{s}\)
3 \(220 \mathrm{~m} / \mathrm{s}\)
4 \(220 \mathrm{~cm} / \mathrm{s}\)
Work, Energy and Power

268687 A block of wood of mass \(9.8 \mathrm{~kg}\) is suspended by a string. A bullet of mass \(200 \mathrm{gm}\) strikes horizontally with a velocity of \(100 \mathrm{~ms}^{-1}\) and gets embedded in it. The maximum height attained by the block is \(\left(\mathrm{g}=10 \mathrm{~ms}^{-2}\right)\)

1 \(0.1 \mathrm{~m}\)
2 \(0.2 \mathrm{~m}\)
3 \(0.3 \mathrm{~m}\)
4 \(0 \mathrm{~m}\)
Work, Energy and Power

268688 A \(15 \mathrm{gm}\) bullet is fired horizontally into a \(3 \mathbf{~ k g}\) block of wood suspended by a string. The bullet sticks in the block, and the impact causes the block to swing \(10 \mathrm{~cm}\) above the initial level. The velocity of the bullet nearly is ( in \(\mathbf{~ m s}^{-1}\) )

1 281
2 326
3 184
4 58
Work, Energy and Power

268689 A body of mass \(20 \mathrm{gm}\) is moving with a certain velocity. It collides with another body of mass \(80 \mathrm{gm}\) at rest. The collision is perfectly inelastic. The ratio of the kinetic energies before and after collision of the system is

1 \(2: 1\)
2 \(4: 1\)
3 \(5: 1\)
4 \(3: 2\)
Work, Energy and Power

268685 A body of mass \(m\) moving at a constant velocity \(v\) hits another body of the same mass moving with a velocity \(v / 2\) but in the opposite direction and sticks to it. The common velocity after collision is

1 \(v\)
2 \(v / 4\)
3 \(2 \mathrm{v}\)
4 \(v / 2\)
Work, Energy and Power

268686 An \(8 \mathrm{gm}\) bullet is fired horizontally into a \(9 \mathrm{~kg}\) block of wood and sticks in it. The block which is free to move, has a velocity of \(40 \mathrm{~cm} /\) \(s\) after impact. The initial velocity of the bullet is

1 \(450 \mathrm{~m} / \mathrm{s}\)
2 \(450 \mathrm{~cm} / \mathrm{s}\)
3 \(220 \mathrm{~m} / \mathrm{s}\)
4 \(220 \mathrm{~cm} / \mathrm{s}\)
Work, Energy and Power

268687 A block of wood of mass \(9.8 \mathrm{~kg}\) is suspended by a string. A bullet of mass \(200 \mathrm{gm}\) strikes horizontally with a velocity of \(100 \mathrm{~ms}^{-1}\) and gets embedded in it. The maximum height attained by the block is \(\left(\mathrm{g}=10 \mathrm{~ms}^{-2}\right)\)

1 \(0.1 \mathrm{~m}\)
2 \(0.2 \mathrm{~m}\)
3 \(0.3 \mathrm{~m}\)
4 \(0 \mathrm{~m}\)
Work, Energy and Power

268688 A \(15 \mathrm{gm}\) bullet is fired horizontally into a \(3 \mathbf{~ k g}\) block of wood suspended by a string. The bullet sticks in the block, and the impact causes the block to swing \(10 \mathrm{~cm}\) above the initial level. The velocity of the bullet nearly is ( in \(\mathbf{~ m s}^{-1}\) )

1 281
2 326
3 184
4 58
Work, Energy and Power

268689 A body of mass \(20 \mathrm{gm}\) is moving with a certain velocity. It collides with another body of mass \(80 \mathrm{gm}\) at rest. The collision is perfectly inelastic. The ratio of the kinetic energies before and after collision of the system is

1 \(2: 1\)
2 \(4: 1\)
3 \(5: 1\)
4 \(3: 2\)