LINEAR MOMENTUM OF CENTRE OF MASS
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Rotational Motion

269281 Two balls are thrown at the same time in air, while they are in air, the acceleration of their centre of mass

1 depends on masses of the balls
2 depends on the direction of motion of the balls
3 depends on speeds of the balls
4 is equal to acceleration due to gravity
Rotational Motion

269282 Consider a two particle system with the particles having masses\(m_{1}\) and \(m_{2}\). If the first particle is pushed towards the centre of mass through a distance \(d\), by what distance should the second particle be moved, so as to keep the centre of mass at the same position? [MAINS 2006]

1 \(d\)
2 \(\frac{m_{2} d}{m_{1}}\)
3 \(\frac{m_{1} d}{m_{1}+m_{2}}\)
4 \(\frac{m_{1} d}{m_{2}}\)
Rotational Motion

269365 Two bodies of different masses\(2 \mathrm{~kg}\) and \(4 \mathrm{~kg}\) are moving with velocities \(2 \mathrm{~m} / \mathrm{s}\) and \(10 \mathrm{~m} / \mathrm{s}\) towards each other due to mutual gravitational attraction. Then the velocity of the centre of mass is

1 \(5 \mathrm{~ms}^{-1}\)
2 \(6 \mathrm{~ms}^{-1}\)
3 \(8 \mathrm{~ms}^{-1}\)
4 Zero
Rotational Motion

269366 If two particles of masses\(3 \mathrm{~kg}\) and \(6 \mathrm{~kg}\) which are at rest are separated by a distance of \(15 \mathrm{~m}\). The two particles are moving towards each other under a mutual force of attraction. Then the ratio of distances travelled by the particles before collision is

1 \(2: 1\)
2 \(1: 2\)
3 \(1: 3\)
4 \(3: 1\)
Rotational Motion

269367 Two bodies of\(6 \mathbf{~ k g}\) and \(4 \mathbf{~ k g ~ m a s s e s ~ h a v e ~ t h e i r ~}\) velocity \(5 \hat{i}-2 \hat{j}+10 \hat{k}\) and \(10 \hat{i}-2 \hat{j}+5 \hat{k}\) respectively.Then the velocity of their centre of mass is

1 \(5 \hat{i}+2 \hat{j}-8 \hat{k}\)
2 \(7 \hat{i}+2 \hat{j}-8 \hat{k}\)
3 \(7 \hat{i}-2 \hat{j}+8 \hat{k}\)
4 \(5 \hat{i}-2 \hat{j}+8 \hat{k}\)
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Rotational Motion

269281 Two balls are thrown at the same time in air, while they are in air, the acceleration of their centre of mass

1 depends on masses of the balls
2 depends on the direction of motion of the balls
3 depends on speeds of the balls
4 is equal to acceleration due to gravity
Rotational Motion

269282 Consider a two particle system with the particles having masses\(m_{1}\) and \(m_{2}\). If the first particle is pushed towards the centre of mass through a distance \(d\), by what distance should the second particle be moved, so as to keep the centre of mass at the same position? [MAINS 2006]

1 \(d\)
2 \(\frac{m_{2} d}{m_{1}}\)
3 \(\frac{m_{1} d}{m_{1}+m_{2}}\)
4 \(\frac{m_{1} d}{m_{2}}\)
Rotational Motion

269365 Two bodies of different masses\(2 \mathrm{~kg}\) and \(4 \mathrm{~kg}\) are moving with velocities \(2 \mathrm{~m} / \mathrm{s}\) and \(10 \mathrm{~m} / \mathrm{s}\) towards each other due to mutual gravitational attraction. Then the velocity of the centre of mass is

1 \(5 \mathrm{~ms}^{-1}\)
2 \(6 \mathrm{~ms}^{-1}\)
3 \(8 \mathrm{~ms}^{-1}\)
4 Zero
Rotational Motion

269366 If two particles of masses\(3 \mathrm{~kg}\) and \(6 \mathrm{~kg}\) which are at rest are separated by a distance of \(15 \mathrm{~m}\). The two particles are moving towards each other under a mutual force of attraction. Then the ratio of distances travelled by the particles before collision is

1 \(2: 1\)
2 \(1: 2\)
3 \(1: 3\)
4 \(3: 1\)
Rotational Motion

269367 Two bodies of\(6 \mathbf{~ k g}\) and \(4 \mathbf{~ k g ~ m a s s e s ~ h a v e ~ t h e i r ~}\) velocity \(5 \hat{i}-2 \hat{j}+10 \hat{k}\) and \(10 \hat{i}-2 \hat{j}+5 \hat{k}\) respectively.Then the velocity of their centre of mass is

1 \(5 \hat{i}+2 \hat{j}-8 \hat{k}\)
2 \(7 \hat{i}+2 \hat{j}-8 \hat{k}\)
3 \(7 \hat{i}-2 \hat{j}+8 \hat{k}\)
4 \(5 \hat{i}-2 \hat{j}+8 \hat{k}\)
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Rotational Motion

269281 Two balls are thrown at the same time in air, while they are in air, the acceleration of their centre of mass

1 depends on masses of the balls
2 depends on the direction of motion of the balls
3 depends on speeds of the balls
4 is equal to acceleration due to gravity
Rotational Motion

269282 Consider a two particle system with the particles having masses\(m_{1}\) and \(m_{2}\). If the first particle is pushed towards the centre of mass through a distance \(d\), by what distance should the second particle be moved, so as to keep the centre of mass at the same position? [MAINS 2006]

1 \(d\)
2 \(\frac{m_{2} d}{m_{1}}\)
3 \(\frac{m_{1} d}{m_{1}+m_{2}}\)
4 \(\frac{m_{1} d}{m_{2}}\)
Rotational Motion

269365 Two bodies of different masses\(2 \mathrm{~kg}\) and \(4 \mathrm{~kg}\) are moving with velocities \(2 \mathrm{~m} / \mathrm{s}\) and \(10 \mathrm{~m} / \mathrm{s}\) towards each other due to mutual gravitational attraction. Then the velocity of the centre of mass is

1 \(5 \mathrm{~ms}^{-1}\)
2 \(6 \mathrm{~ms}^{-1}\)
3 \(8 \mathrm{~ms}^{-1}\)
4 Zero
Rotational Motion

269366 If two particles of masses\(3 \mathrm{~kg}\) and \(6 \mathrm{~kg}\) which are at rest are separated by a distance of \(15 \mathrm{~m}\). The two particles are moving towards each other under a mutual force of attraction. Then the ratio of distances travelled by the particles before collision is

1 \(2: 1\)
2 \(1: 2\)
3 \(1: 3\)
4 \(3: 1\)
Rotational Motion

269367 Two bodies of\(6 \mathbf{~ k g}\) and \(4 \mathbf{~ k g ~ m a s s e s ~ h a v e ~ t h e i r ~}\) velocity \(5 \hat{i}-2 \hat{j}+10 \hat{k}\) and \(10 \hat{i}-2 \hat{j}+5 \hat{k}\) respectively.Then the velocity of their centre of mass is

1 \(5 \hat{i}+2 \hat{j}-8 \hat{k}\)
2 \(7 \hat{i}+2 \hat{j}-8 \hat{k}\)
3 \(7 \hat{i}-2 \hat{j}+8 \hat{k}\)
4 \(5 \hat{i}-2 \hat{j}+8 \hat{k}\)
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Rotational Motion

269281 Two balls are thrown at the same time in air, while they are in air, the acceleration of their centre of mass

1 depends on masses of the balls
2 depends on the direction of motion of the balls
3 depends on speeds of the balls
4 is equal to acceleration due to gravity
Rotational Motion

269282 Consider a two particle system with the particles having masses\(m_{1}\) and \(m_{2}\). If the first particle is pushed towards the centre of mass through a distance \(d\), by what distance should the second particle be moved, so as to keep the centre of mass at the same position? [MAINS 2006]

1 \(d\)
2 \(\frac{m_{2} d}{m_{1}}\)
3 \(\frac{m_{1} d}{m_{1}+m_{2}}\)
4 \(\frac{m_{1} d}{m_{2}}\)
Rotational Motion

269365 Two bodies of different masses\(2 \mathrm{~kg}\) and \(4 \mathrm{~kg}\) are moving with velocities \(2 \mathrm{~m} / \mathrm{s}\) and \(10 \mathrm{~m} / \mathrm{s}\) towards each other due to mutual gravitational attraction. Then the velocity of the centre of mass is

1 \(5 \mathrm{~ms}^{-1}\)
2 \(6 \mathrm{~ms}^{-1}\)
3 \(8 \mathrm{~ms}^{-1}\)
4 Zero
Rotational Motion

269366 If two particles of masses\(3 \mathrm{~kg}\) and \(6 \mathrm{~kg}\) which are at rest are separated by a distance of \(15 \mathrm{~m}\). The two particles are moving towards each other under a mutual force of attraction. Then the ratio of distances travelled by the particles before collision is

1 \(2: 1\)
2 \(1: 2\)
3 \(1: 3\)
4 \(3: 1\)
Rotational Motion

269367 Two bodies of\(6 \mathbf{~ k g}\) and \(4 \mathbf{~ k g ~ m a s s e s ~ h a v e ~ t h e i r ~}\) velocity \(5 \hat{i}-2 \hat{j}+10 \hat{k}\) and \(10 \hat{i}-2 \hat{j}+5 \hat{k}\) respectively.Then the velocity of their centre of mass is

1 \(5 \hat{i}+2 \hat{j}-8 \hat{k}\)
2 \(7 \hat{i}+2 \hat{j}-8 \hat{k}\)
3 \(7 \hat{i}-2 \hat{j}+8 \hat{k}\)
4 \(5 \hat{i}-2 \hat{j}+8 \hat{k}\)
NEET DIGITAL LIBRARY
Rotational Motion

269281 Two balls are thrown at the same time in air, while they are in air, the acceleration of their centre of mass

1 depends on masses of the balls
2 depends on the direction of motion of the balls
3 depends on speeds of the balls
4 is equal to acceleration due to gravity
Rotational Motion

269282 Consider a two particle system with the particles having masses\(m_{1}\) and \(m_{2}\). If the first particle is pushed towards the centre of mass through a distance \(d\), by what distance should the second particle be moved, so as to keep the centre of mass at the same position? [MAINS 2006]

1 \(d\)
2 \(\frac{m_{2} d}{m_{1}}\)
3 \(\frac{m_{1} d}{m_{1}+m_{2}}\)
4 \(\frac{m_{1} d}{m_{2}}\)
Rotational Motion

269365 Two bodies of different masses\(2 \mathrm{~kg}\) and \(4 \mathrm{~kg}\) are moving with velocities \(2 \mathrm{~m} / \mathrm{s}\) and \(10 \mathrm{~m} / \mathrm{s}\) towards each other due to mutual gravitational attraction. Then the velocity of the centre of mass is

1 \(5 \mathrm{~ms}^{-1}\)
2 \(6 \mathrm{~ms}^{-1}\)
3 \(8 \mathrm{~ms}^{-1}\)
4 Zero
Rotational Motion

269366 If two particles of masses\(3 \mathrm{~kg}\) and \(6 \mathrm{~kg}\) which are at rest are separated by a distance of \(15 \mathrm{~m}\). The two particles are moving towards each other under a mutual force of attraction. Then the ratio of distances travelled by the particles before collision is

1 \(2: 1\)
2 \(1: 2\)
3 \(1: 3\)
4 \(3: 1\)
Rotational Motion

269367 Two bodies of\(6 \mathbf{~ k g}\) and \(4 \mathbf{~ k g ~ m a s s e s ~ h a v e ~ t h e i r ~}\) velocity \(5 \hat{i}-2 \hat{j}+10 \hat{k}\) and \(10 \hat{i}-2 \hat{j}+5 \hat{k}\) respectively.Then the velocity of their centre of mass is

1 \(5 \hat{i}+2 \hat{j}-8 \hat{k}\)
2 \(7 \hat{i}+2 \hat{j}-8 \hat{k}\)
3 \(7 \hat{i}-2 \hat{j}+8 \hat{k}\)
4 \(5 \hat{i}-2 \hat{j}+8 \hat{k}\)