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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365801 Two-bodies of different masses of \(2\;kg\) and \(4\;kg\) moving with velocities \(2\;m{s^{ - 1}}\) and \(10\;m{s^{ - 1}}\) towards each other, due to mutual gravitational attraction. What is the velocity of their centre of mass?

1 \(5\;m{s^{ - 1}}\)
2 \(6\;m{s^{ - 1}}\)
3 \(8\;m{s^{ - 1}}\)
4 \({\rm{Zero}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365802 Two blocks of masses \(5\;kg\) and \(2\;kg\) are placed on a frictionless surface and connected by a spring. An external kick gives a velocity of \(14\,m/s\) to the heavier block in the direction of lighter one. The magnitudes of velocities of two blocks in the centre of mass frame after the kick are respectively:

1 \(10\;m/s,\,\,4\;m/s\)
2 \(4\;m/s,\,\,4\;m/s\)
3 \(10\;m/s,\,\,10\;m/s\)
4 \(4\;m/s,\,{\mkern 1mu} 10\;m/s\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365803 Two particles which are initially at rest move towards each other under the action of their mutual attraction. If their speeds are \(v\) and \(2 v\) at any instant, then the speed of centre of mass of the system is

1 \(1.5 v\)
2 \(2 v\)
3 \(v\)
4 zero
KCET - 2019
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365804 A spring is compressed between two toy carts of mass \(m_{1}\) and \(m_{2}\). When the toy carts are released, the springs exert equal and opposite average forces for the same time on each toy cart. If \(v_{1}\) and \(v_{2}\) are the velocities of the toy carts and there is no friction between the toy carts and the ground, then:

1 \(v_{1} / v_{2}=m_{1} / m_{2}\)
2 \(v_{1} / v_{2}=m_{2} / m_{1}\)
3 \(v_{1} / v_{2}=-m_{2} / m_{1}\)
4 \(v_{1} / v_{2}=-m_{1} / m_{2}\)
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NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365801 Two-bodies of different masses of \(2\;kg\) and \(4\;kg\) moving with velocities \(2\;m{s^{ - 1}}\) and \(10\;m{s^{ - 1}}\) towards each other, due to mutual gravitational attraction. What is the velocity of their centre of mass?

1 \(5\;m{s^{ - 1}}\)
2 \(6\;m{s^{ - 1}}\)
3 \(8\;m{s^{ - 1}}\)
4 \({\rm{Zero}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365802 Two blocks of masses \(5\;kg\) and \(2\;kg\) are placed on a frictionless surface and connected by a spring. An external kick gives a velocity of \(14\,m/s\) to the heavier block in the direction of lighter one. The magnitudes of velocities of two blocks in the centre of mass frame after the kick are respectively:

1 \(10\;m/s,\,\,4\;m/s\)
2 \(4\;m/s,\,\,4\;m/s\)
3 \(10\;m/s,\,\,10\;m/s\)
4 \(4\;m/s,\,{\mkern 1mu} 10\;m/s\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365803 Two particles which are initially at rest move towards each other under the action of their mutual attraction. If their speeds are \(v\) and \(2 v\) at any instant, then the speed of centre of mass of the system is

1 \(1.5 v\)
2 \(2 v\)
3 \(v\)
4 zero
KCET - 2019
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365804 A spring is compressed between two toy carts of mass \(m_{1}\) and \(m_{2}\). When the toy carts are released, the springs exert equal and opposite average forces for the same time on each toy cart. If \(v_{1}\) and \(v_{2}\) are the velocities of the toy carts and there is no friction between the toy carts and the ground, then:

1 \(v_{1} / v_{2}=m_{1} / m_{2}\)
2 \(v_{1} / v_{2}=m_{2} / m_{1}\)
3 \(v_{1} / v_{2}=-m_{2} / m_{1}\)
4 \(v_{1} / v_{2}=-m_{1} / m_{2}\)
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365801 Two-bodies of different masses of \(2\;kg\) and \(4\;kg\) moving with velocities \(2\;m{s^{ - 1}}\) and \(10\;m{s^{ - 1}}\) towards each other, due to mutual gravitational attraction. What is the velocity of their centre of mass?

1 \(5\;m{s^{ - 1}}\)
2 \(6\;m{s^{ - 1}}\)
3 \(8\;m{s^{ - 1}}\)
4 \({\rm{Zero}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365802 Two blocks of masses \(5\;kg\) and \(2\;kg\) are placed on a frictionless surface and connected by a spring. An external kick gives a velocity of \(14\,m/s\) to the heavier block in the direction of lighter one. The magnitudes of velocities of two blocks in the centre of mass frame after the kick are respectively:

1 \(10\;m/s,\,\,4\;m/s\)
2 \(4\;m/s,\,\,4\;m/s\)
3 \(10\;m/s,\,\,10\;m/s\)
4 \(4\;m/s,\,{\mkern 1mu} 10\;m/s\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365803 Two particles which are initially at rest move towards each other under the action of their mutual attraction. If their speeds are \(v\) and \(2 v\) at any instant, then the speed of centre of mass of the system is

1 \(1.5 v\)
2 \(2 v\)
3 \(v\)
4 zero
KCET - 2019
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365804 A spring is compressed between two toy carts of mass \(m_{1}\) and \(m_{2}\). When the toy carts are released, the springs exert equal and opposite average forces for the same time on each toy cart. If \(v_{1}\) and \(v_{2}\) are the velocities of the toy carts and there is no friction between the toy carts and the ground, then:

1 \(v_{1} / v_{2}=m_{1} / m_{2}\)
2 \(v_{1} / v_{2}=m_{2} / m_{1}\)
3 \(v_{1} / v_{2}=-m_{2} / m_{1}\)
4 \(v_{1} / v_{2}=-m_{1} / m_{2}\)
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365801 Two-bodies of different masses of \(2\;kg\) and \(4\;kg\) moving with velocities \(2\;m{s^{ - 1}}\) and \(10\;m{s^{ - 1}}\) towards each other, due to mutual gravitational attraction. What is the velocity of their centre of mass?

1 \(5\;m{s^{ - 1}}\)
2 \(6\;m{s^{ - 1}}\)
3 \(8\;m{s^{ - 1}}\)
4 \({\rm{Zero}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365802 Two blocks of masses \(5\;kg\) and \(2\;kg\) are placed on a frictionless surface and connected by a spring. An external kick gives a velocity of \(14\,m/s\) to the heavier block in the direction of lighter one. The magnitudes of velocities of two blocks in the centre of mass frame after the kick are respectively:

1 \(10\;m/s,\,\,4\;m/s\)
2 \(4\;m/s,\,\,4\;m/s\)
3 \(10\;m/s,\,\,10\;m/s\)
4 \(4\;m/s,\,{\mkern 1mu} 10\;m/s\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365803 Two particles which are initially at rest move towards each other under the action of their mutual attraction. If their speeds are \(v\) and \(2 v\) at any instant, then the speed of centre of mass of the system is

1 \(1.5 v\)
2 \(2 v\)
3 \(v\)
4 zero
KCET - 2019
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365804 A spring is compressed between two toy carts of mass \(m_{1}\) and \(m_{2}\). When the toy carts are released, the springs exert equal and opposite average forces for the same time on each toy cart. If \(v_{1}\) and \(v_{2}\) are the velocities of the toy carts and there is no friction between the toy carts and the ground, then:

1 \(v_{1} / v_{2}=m_{1} / m_{2}\)
2 \(v_{1} / v_{2}=m_{2} / m_{1}\)
3 \(v_{1} / v_{2}=-m_{2} / m_{1}\)
4 \(v_{1} / v_{2}=-m_{1} / m_{2}\)
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