Collisions
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PHXI06:WORK ENERGY AND POWER

355329 A mass \(m\) moving horizontally (along the \(x\)-axis) with velocity v collides and sticks to mass of 3 \(m\) moving vertically upward (along the \(y\)-axis) wih velocity 2\(v\). The final velocity of the combination is

1 \(\dfrac{1}{4} v \hat{i}+\dfrac{3}{2} v \hat{j}\)
2 \(\dfrac{1}{3} v \hat{i}+\dfrac{2}{3} v \hat{j}\)
3 \(\dfrac{2}{3} v \hat{i}+\dfrac{1}{3} v \hat{j}\)
4 \(\dfrac{3}{2} v \hat{i}+\dfrac{1}{4} v \hat{j}\)
PHXI06:WORK ENERGY AND POWER

355330 One object of mass \(20\;kg\) is moving with speed \(10\;m{s^{ - 1}}\) in west direction another object of mass \(10\;kg\) is moving with \(15\;m{s^{ - 1}}\) in north direction. Both collide and stick together. Choose the correct alternative.

1 There kinetic energy is conserved as it is inelastic collision.
2 There kinetic energy is conserved as it is elastic collision.
3 There momentum is conserved as it is inelastic collision.
4 There momentum is conserved as it is elastic collision.
PHXI06:WORK ENERGY AND POWER

355331 Two objects of mass \(m\) each moving with speed \(u\) \(\;m{s^{ - 1}}\) collide at \(90^{\circ}\), then final momentum is (assume collision is inelastic)

1 \(m u\)
2 \(2\,mu\)
3 \(\sqrt 2 \,mu\)
4 \(2\sqrt 2 \,mu\)
PHXI06:WORK ENERGY AND POWER

355332 A particle of mass \(10\;kg\) moving eastwards with a speed \(5\;m{s^{ - 1}}\) collides with another particle of the same mass moving north-wards with the same speed \(5\;m{s^{ - 1}}\). The two particles coalesce on collision. The new particle of mass \(20\;kg\) will move in the north-east direction with velocity

1 \(10\;m{s^{ - 1}}\)
2 \(5\;m{s^{ - 1}}\)
3 \((5/\sqrt 2 )m{s^{ - 1}}\)
4 none of these
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PHXI06:WORK ENERGY AND POWER

355329 A mass \(m\) moving horizontally (along the \(x\)-axis) with velocity v collides and sticks to mass of 3 \(m\) moving vertically upward (along the \(y\)-axis) wih velocity 2\(v\). The final velocity of the combination is

1 \(\dfrac{1}{4} v \hat{i}+\dfrac{3}{2} v \hat{j}\)
2 \(\dfrac{1}{3} v \hat{i}+\dfrac{2}{3} v \hat{j}\)
3 \(\dfrac{2}{3} v \hat{i}+\dfrac{1}{3} v \hat{j}\)
4 \(\dfrac{3}{2} v \hat{i}+\dfrac{1}{4} v \hat{j}\)
PHXI06:WORK ENERGY AND POWER

355330 One object of mass \(20\;kg\) is moving with speed \(10\;m{s^{ - 1}}\) in west direction another object of mass \(10\;kg\) is moving with \(15\;m{s^{ - 1}}\) in north direction. Both collide and stick together. Choose the correct alternative.

1 There kinetic energy is conserved as it is inelastic collision.
2 There kinetic energy is conserved as it is elastic collision.
3 There momentum is conserved as it is inelastic collision.
4 There momentum is conserved as it is elastic collision.
PHXI06:WORK ENERGY AND POWER

355331 Two objects of mass \(m\) each moving with speed \(u\) \(\;m{s^{ - 1}}\) collide at \(90^{\circ}\), then final momentum is (assume collision is inelastic)

1 \(m u\)
2 \(2\,mu\)
3 \(\sqrt 2 \,mu\)
4 \(2\sqrt 2 \,mu\)
PHXI06:WORK ENERGY AND POWER

355332 A particle of mass \(10\;kg\) moving eastwards with a speed \(5\;m{s^{ - 1}}\) collides with another particle of the same mass moving north-wards with the same speed \(5\;m{s^{ - 1}}\). The two particles coalesce on collision. The new particle of mass \(20\;kg\) will move in the north-east direction with velocity

1 \(10\;m{s^{ - 1}}\)
2 \(5\;m{s^{ - 1}}\)
3 \((5/\sqrt 2 )m{s^{ - 1}}\)
4 none of these
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PHXI06:WORK ENERGY AND POWER

355329 A mass \(m\) moving horizontally (along the \(x\)-axis) with velocity v collides and sticks to mass of 3 \(m\) moving vertically upward (along the \(y\)-axis) wih velocity 2\(v\). The final velocity of the combination is

1 \(\dfrac{1}{4} v \hat{i}+\dfrac{3}{2} v \hat{j}\)
2 \(\dfrac{1}{3} v \hat{i}+\dfrac{2}{3} v \hat{j}\)
3 \(\dfrac{2}{3} v \hat{i}+\dfrac{1}{3} v \hat{j}\)
4 \(\dfrac{3}{2} v \hat{i}+\dfrac{1}{4} v \hat{j}\)
PHXI06:WORK ENERGY AND POWER

355330 One object of mass \(20\;kg\) is moving with speed \(10\;m{s^{ - 1}}\) in west direction another object of mass \(10\;kg\) is moving with \(15\;m{s^{ - 1}}\) in north direction. Both collide and stick together. Choose the correct alternative.

1 There kinetic energy is conserved as it is inelastic collision.
2 There kinetic energy is conserved as it is elastic collision.
3 There momentum is conserved as it is inelastic collision.
4 There momentum is conserved as it is elastic collision.
PHXI06:WORK ENERGY AND POWER

355331 Two objects of mass \(m\) each moving with speed \(u\) \(\;m{s^{ - 1}}\) collide at \(90^{\circ}\), then final momentum is (assume collision is inelastic)

1 \(m u\)
2 \(2\,mu\)
3 \(\sqrt 2 \,mu\)
4 \(2\sqrt 2 \,mu\)
PHXI06:WORK ENERGY AND POWER

355332 A particle of mass \(10\;kg\) moving eastwards with a speed \(5\;m{s^{ - 1}}\) collides with another particle of the same mass moving north-wards with the same speed \(5\;m{s^{ - 1}}\). The two particles coalesce on collision. The new particle of mass \(20\;kg\) will move in the north-east direction with velocity

1 \(10\;m{s^{ - 1}}\)
2 \(5\;m{s^{ - 1}}\)
3 \((5/\sqrt 2 )m{s^{ - 1}}\)
4 none of these
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PHXI06:WORK ENERGY AND POWER

355329 A mass \(m\) moving horizontally (along the \(x\)-axis) with velocity v collides and sticks to mass of 3 \(m\) moving vertically upward (along the \(y\)-axis) wih velocity 2\(v\). The final velocity of the combination is

1 \(\dfrac{1}{4} v \hat{i}+\dfrac{3}{2} v \hat{j}\)
2 \(\dfrac{1}{3} v \hat{i}+\dfrac{2}{3} v \hat{j}\)
3 \(\dfrac{2}{3} v \hat{i}+\dfrac{1}{3} v \hat{j}\)
4 \(\dfrac{3}{2} v \hat{i}+\dfrac{1}{4} v \hat{j}\)
PHXI06:WORK ENERGY AND POWER

355330 One object of mass \(20\;kg\) is moving with speed \(10\;m{s^{ - 1}}\) in west direction another object of mass \(10\;kg\) is moving with \(15\;m{s^{ - 1}}\) in north direction. Both collide and stick together. Choose the correct alternative.

1 There kinetic energy is conserved as it is inelastic collision.
2 There kinetic energy is conserved as it is elastic collision.
3 There momentum is conserved as it is inelastic collision.
4 There momentum is conserved as it is elastic collision.
PHXI06:WORK ENERGY AND POWER

355331 Two objects of mass \(m\) each moving with speed \(u\) \(\;m{s^{ - 1}}\) collide at \(90^{\circ}\), then final momentum is (assume collision is inelastic)

1 \(m u\)
2 \(2\,mu\)
3 \(\sqrt 2 \,mu\)
4 \(2\sqrt 2 \,mu\)
PHXI06:WORK ENERGY AND POWER

355332 A particle of mass \(10\;kg\) moving eastwards with a speed \(5\;m{s^{ - 1}}\) collides with another particle of the same mass moving north-wards with the same speed \(5\;m{s^{ - 1}}\). The two particles coalesce on collision. The new particle of mass \(20\;kg\) will move in the north-east direction with velocity

1 \(10\;m{s^{ - 1}}\)
2 \(5\;m{s^{ - 1}}\)
3 \((5/\sqrt 2 )m{s^{ - 1}}\)
4 none of these
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