149738 Two objects of masses \(200 \mathrm{~g}\) and \(500 \mathrm{~g}\) possess velocities \(10 \hat{\mathbf{i}} \mathrm{ms}^{-1}\) and \((3 \hat{\mathbf{i}}+5 \hat{\mathbf{j}}) \mathrm{ms}^{-1}\)
respectively. The velocity of their centre of mass in \(\mathbf{~ s s}^{-1}\) is

149739 Two particles of equal mass have velocities \(\overrightarrow{\mathbf{v}}_{1}=4 \hat{\mathbf{i}} \mathrm{ms}^{-1}\) and \(\overrightarrow{\mathbf{v}}_{2}=4 \hat{\mathbf{j}} \mathrm{ms}^{-1}\). First particle has an acceleration \(\overrightarrow{\mathbf{a}}_{1}=(\mathbf{5} \hat{\mathbf{i}}+\mathbf{5} \hat{\mathbf{j}})\) while the acceleration of the other particle is zero. The centre of mass of the two particles moves in a path of

149740 The centre of mass of three particles of masses \(1 \mathrm{~kg}, 2 \mathrm{~kg}\) and \(3 \mathrm{~kg}\) is located at \((2,2,2)\). The position of the fourth mass of \(4 \mathrm{~kg}\) to be placed in the system as that the new centre of mass is at \((0,0,0)\) is

149741 Two bodies of \(6 \mathrm{~kg}\) and \(4 \mathrm{~kg}\) masses have their 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

149742 A system of two particles is having masses \(m_{1}\) and \(m_{2}\). If the particle of mass \(m_{1}\) is pushed towards the center of mass of particles through a distance \(d\), by what distance the particle of mass \(m_{2}\) should be moved so as to keep the centre of mass of particles at the original position?

149738 Two objects of masses \(200 \mathrm{~g}\) and \(500 \mathrm{~g}\) possess velocities \(10 \hat{\mathbf{i}} \mathrm{ms}^{-1}\) and \((3 \hat{\mathbf{i}}+5 \hat{\mathbf{j}}) \mathrm{ms}^{-1}\)
respectively. The velocity of their centre of mass in \(\mathbf{~ s s}^{-1}\) is

149739 Two particles of equal mass have velocities \(\overrightarrow{\mathbf{v}}_{1}=4 \hat{\mathbf{i}} \mathrm{ms}^{-1}\) and \(\overrightarrow{\mathbf{v}}_{2}=4 \hat{\mathbf{j}} \mathrm{ms}^{-1}\). First particle has an acceleration \(\overrightarrow{\mathbf{a}}_{1}=(\mathbf{5} \hat{\mathbf{i}}+\mathbf{5} \hat{\mathbf{j}})\) while the acceleration of the other particle is zero. The centre of mass of the two particles moves in a path of

149740 The centre of mass of three particles of masses \(1 \mathrm{~kg}, 2 \mathrm{~kg}\) and \(3 \mathrm{~kg}\) is located at \((2,2,2)\). The position of the fourth mass of \(4 \mathrm{~kg}\) to be placed in the system as that the new centre of mass is at \((0,0,0)\) is

149741 Two bodies of \(6 \mathrm{~kg}\) and \(4 \mathrm{~kg}\) masses have their 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

149742 A system of two particles is having masses \(m_{1}\) and \(m_{2}\). If the particle of mass \(m_{1}\) is pushed towards the center of mass of particles through a distance \(d\), by what distance the particle of mass \(m_{2}\) should be moved so as to keep the centre of mass of particles at the original position?

149738 Two objects of masses \(200 \mathrm{~g}\) and \(500 \mathrm{~g}\) possess velocities \(10 \hat{\mathbf{i}} \mathrm{ms}^{-1}\) and \((3 \hat{\mathbf{i}}+5 \hat{\mathbf{j}}) \mathrm{ms}^{-1}\)
respectively. The velocity of their centre of mass in \(\mathbf{~ s s}^{-1}\) is

149739 Two particles of equal mass have velocities \(\overrightarrow{\mathbf{v}}_{1}=4 \hat{\mathbf{i}} \mathrm{ms}^{-1}\) and \(\overrightarrow{\mathbf{v}}_{2}=4 \hat{\mathbf{j}} \mathrm{ms}^{-1}\). First particle has an acceleration \(\overrightarrow{\mathbf{a}}_{1}=(\mathbf{5} \hat{\mathbf{i}}+\mathbf{5} \hat{\mathbf{j}})\) while the acceleration of the other particle is zero. The centre of mass of the two particles moves in a path of

149740 The centre of mass of three particles of masses \(1 \mathrm{~kg}, 2 \mathrm{~kg}\) and \(3 \mathrm{~kg}\) is located at \((2,2,2)\). The position of the fourth mass of \(4 \mathrm{~kg}\) to be placed in the system as that the new centre of mass is at \((0,0,0)\) is

149741 Two bodies of \(6 \mathrm{~kg}\) and \(4 \mathrm{~kg}\) masses have their 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

149742 A system of two particles is having masses \(m_{1}\) and \(m_{2}\). If the particle of mass \(m_{1}\) is pushed towards the center of mass of particles through a distance \(d\), by what distance the particle of mass \(m_{2}\) should be moved so as to keep the centre of mass of particles at the original position?

149738 Two objects of masses \(200 \mathrm{~g}\) and \(500 \mathrm{~g}\) possess velocities \(10 \hat{\mathbf{i}} \mathrm{ms}^{-1}\) and \((3 \hat{\mathbf{i}}+5 \hat{\mathbf{j}}) \mathrm{ms}^{-1}\)
respectively. The velocity of their centre of mass in \(\mathbf{~ s s}^{-1}\) is

149739 Two particles of equal mass have velocities \(\overrightarrow{\mathbf{v}}_{1}=4 \hat{\mathbf{i}} \mathrm{ms}^{-1}\) and \(\overrightarrow{\mathbf{v}}_{2}=4 \hat{\mathbf{j}} \mathrm{ms}^{-1}\). First particle has an acceleration \(\overrightarrow{\mathbf{a}}_{1}=(\mathbf{5} \hat{\mathbf{i}}+\mathbf{5} \hat{\mathbf{j}})\) while the acceleration of the other particle is zero. The centre of mass of the two particles moves in a path of

149740 The centre of mass of three particles of masses \(1 \mathrm{~kg}, 2 \mathrm{~kg}\) and \(3 \mathrm{~kg}\) is located at \((2,2,2)\). The position of the fourth mass of \(4 \mathrm{~kg}\) to be placed in the system as that the new centre of mass is at \((0,0,0)\) is

149741 Two bodies of \(6 \mathrm{~kg}\) and \(4 \mathrm{~kg}\) masses have their 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

149742 A system of two particles is having masses \(m_{1}\) and \(m_{2}\). If the particle of mass \(m_{1}\) is pushed towards the center of mass of particles through a distance \(d\), by what distance the particle of mass \(m_{2}\) should be moved so as to keep the centre of mass of particles at the original position?

149738 Two objects of masses \(200 \mathrm{~g}\) and \(500 \mathrm{~g}\) possess velocities \(10 \hat{\mathbf{i}} \mathrm{ms}^{-1}\) and \((3 \hat{\mathbf{i}}+5 \hat{\mathbf{j}}) \mathrm{ms}^{-1}\)
respectively. The velocity of their centre of mass in \(\mathbf{~ s s}^{-1}\) is

149739 Two particles of equal mass have velocities \(\overrightarrow{\mathbf{v}}_{1}=4 \hat{\mathbf{i}} \mathrm{ms}^{-1}\) and \(\overrightarrow{\mathbf{v}}_{2}=4 \hat{\mathbf{j}} \mathrm{ms}^{-1}\). First particle has an acceleration \(\overrightarrow{\mathbf{a}}_{1}=(\mathbf{5} \hat{\mathbf{i}}+\mathbf{5} \hat{\mathbf{j}})\) while the acceleration of the other particle is zero. The centre of mass of the two particles moves in a path of

149740 The centre of mass of three particles of masses \(1 \mathrm{~kg}, 2 \mathrm{~kg}\) and \(3 \mathrm{~kg}\) is located at \((2,2,2)\). The position of the fourth mass of \(4 \mathrm{~kg}\) to be placed in the system as that the new centre of mass is at \((0,0,0)\) is

149741 Two bodies of \(6 \mathrm{~kg}\) and \(4 \mathrm{~kg}\) masses have their 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

149742 A system of two particles is having masses \(m_{1}\) and \(m_{2}\). If the particle of mass \(m_{1}\) is pushed towards the center of mass of particles through a distance \(d\), by what distance the particle of mass \(m_{2}\) should be moved so as to keep the centre of mass of particles at the original position?