Collisions
PHXI06:WORK ENERGY AND POWER

355324 A particle of mass \(m\) moving with velocity \(v\) collides with a stationary particle of mass \(2\,m\). After collision, they stick together and continue to move together with velocity

1 \(v\)
2 \(v / 4\)
3 \(v / 3\)
4 \(v / 2\)
PHXI06:WORK ENERGY AND POWER

355325 Two particles \(A\) and \(B\) of equal mass \(M\) are moving with the same speed \(v\) as shown in the figure. They collide completely inelastically and move as a single particle \(C\). The angle \(\theta\) that the path of \(C\) makes with the \(X\)-axis is given by
supporting img

1 \(\tan \theta=\dfrac{\sqrt{3}-\sqrt{2}}{1-\sqrt{2}}\)
2 \(\tan \theta=\dfrac{1-\sqrt{2}}{\sqrt{2}(1+\sqrt{3})}\)
3 \(\tan \theta=\dfrac{1-\sqrt{3}}{1+\sqrt{2}}\)
4 \(\tan \theta=\dfrac{\sqrt{3}+\sqrt{2}}{1-\sqrt{2}}\)
PHXI06:WORK ENERGY AND POWER

355326 A body of mass \(m\) is moving towards east and another body of equal mass and speed is moving towards the north. If after collision both stick together, then their speed after collision would be

1 \(v\)
2 \(v / 2\)
3 \(\sqrt{2} v\)
4 \(v / \sqrt{2}\)
PHXI06:WORK ENERGY AND POWER

355327 Here masses \(m, 2 m\) and \(3 m\) are moving in \(x-y\) plane speed \(3u,\,2u\), and \(u\) respectively as shown in figure. The three masses collide at the same point at \(P\) and stick together. The velocity of resulting mass will be
supporting img

1 \(\dfrac{u}{12}(-\hat{i}-\sqrt{3} \hat{j})\)
2 \(\dfrac{u}{12}(\hat{i}-\sqrt{3} \hat{j})\)
3 \(\dfrac{u}{12}(-\hat{i}+\sqrt{3} \hat{j})\)
4 \(\dfrac{u}{12}(\hat{i}+\sqrt{3} \hat{j})\)
PHXI06:WORK ENERGY AND POWER

355328 Two ice skaters \(A\) and \(B\) approach each other at right angles. Skater \(A\) has a mass 30 \(kg\) and velocity 1 \(m/s\) and skater \(B\) has a mass 20 \(kg\) and velocity 2 \(m/s\). They meet and cling together. Their final velocity of the couple is

1 1.5 \(m/s\)
2 2 \(m/s\)
3 2.5 \(m/s\)
4 1 \(m/s\)
PHXI06:WORK ENERGY AND POWER

355324 A particle of mass \(m\) moving with velocity \(v\) collides with a stationary particle of mass \(2\,m\). After collision, they stick together and continue to move together with velocity

1 \(v\)
2 \(v / 4\)
3 \(v / 3\)
4 \(v / 2\)
PHXI06:WORK ENERGY AND POWER

355325 Two particles \(A\) and \(B\) of equal mass \(M\) are moving with the same speed \(v\) as shown in the figure. They collide completely inelastically and move as a single particle \(C\). The angle \(\theta\) that the path of \(C\) makes with the \(X\)-axis is given by
supporting img

1 \(\tan \theta=\dfrac{\sqrt{3}-\sqrt{2}}{1-\sqrt{2}}\)
2 \(\tan \theta=\dfrac{1-\sqrt{2}}{\sqrt{2}(1+\sqrt{3})}\)
3 \(\tan \theta=\dfrac{1-\sqrt{3}}{1+\sqrt{2}}\)
4 \(\tan \theta=\dfrac{\sqrt{3}+\sqrt{2}}{1-\sqrt{2}}\)
PHXI06:WORK ENERGY AND POWER

355326 A body of mass \(m\) is moving towards east and another body of equal mass and speed is moving towards the north. If after collision both stick together, then their speed after collision would be

1 \(v\)
2 \(v / 2\)
3 \(\sqrt{2} v\)
4 \(v / \sqrt{2}\)
PHXI06:WORK ENERGY AND POWER

355327 Here masses \(m, 2 m\) and \(3 m\) are moving in \(x-y\) plane speed \(3u,\,2u\), and \(u\) respectively as shown in figure. The three masses collide at the same point at \(P\) and stick together. The velocity of resulting mass will be
supporting img

1 \(\dfrac{u}{12}(-\hat{i}-\sqrt{3} \hat{j})\)
2 \(\dfrac{u}{12}(\hat{i}-\sqrt{3} \hat{j})\)
3 \(\dfrac{u}{12}(-\hat{i}+\sqrt{3} \hat{j})\)
4 \(\dfrac{u}{12}(\hat{i}+\sqrt{3} \hat{j})\)
PHXI06:WORK ENERGY AND POWER

355328 Two ice skaters \(A\) and \(B\) approach each other at right angles. Skater \(A\) has a mass 30 \(kg\) and velocity 1 \(m/s\) and skater \(B\) has a mass 20 \(kg\) and velocity 2 \(m/s\). They meet and cling together. Their final velocity of the couple is

1 1.5 \(m/s\)
2 2 \(m/s\)
3 2.5 \(m/s\)
4 1 \(m/s\)
PHXI06:WORK ENERGY AND POWER

355324 A particle of mass \(m\) moving with velocity \(v\) collides with a stationary particle of mass \(2\,m\). After collision, they stick together and continue to move together with velocity

1 \(v\)
2 \(v / 4\)
3 \(v / 3\)
4 \(v / 2\)
PHXI06:WORK ENERGY AND POWER

355325 Two particles \(A\) and \(B\) of equal mass \(M\) are moving with the same speed \(v\) as shown in the figure. They collide completely inelastically and move as a single particle \(C\). The angle \(\theta\) that the path of \(C\) makes with the \(X\)-axis is given by
supporting img

1 \(\tan \theta=\dfrac{\sqrt{3}-\sqrt{2}}{1-\sqrt{2}}\)
2 \(\tan \theta=\dfrac{1-\sqrt{2}}{\sqrt{2}(1+\sqrt{3})}\)
3 \(\tan \theta=\dfrac{1-\sqrt{3}}{1+\sqrt{2}}\)
4 \(\tan \theta=\dfrac{\sqrt{3}+\sqrt{2}}{1-\sqrt{2}}\)
PHXI06:WORK ENERGY AND POWER

355326 A body of mass \(m\) is moving towards east and another body of equal mass and speed is moving towards the north. If after collision both stick together, then their speed after collision would be

1 \(v\)
2 \(v / 2\)
3 \(\sqrt{2} v\)
4 \(v / \sqrt{2}\)
PHXI06:WORK ENERGY AND POWER

355327 Here masses \(m, 2 m\) and \(3 m\) are moving in \(x-y\) plane speed \(3u,\,2u\), and \(u\) respectively as shown in figure. The three masses collide at the same point at \(P\) and stick together. The velocity of resulting mass will be
supporting img

1 \(\dfrac{u}{12}(-\hat{i}-\sqrt{3} \hat{j})\)
2 \(\dfrac{u}{12}(\hat{i}-\sqrt{3} \hat{j})\)
3 \(\dfrac{u}{12}(-\hat{i}+\sqrt{3} \hat{j})\)
4 \(\dfrac{u}{12}(\hat{i}+\sqrt{3} \hat{j})\)
PHXI06:WORK ENERGY AND POWER

355328 Two ice skaters \(A\) and \(B\) approach each other at right angles. Skater \(A\) has a mass 30 \(kg\) and velocity 1 \(m/s\) and skater \(B\) has a mass 20 \(kg\) and velocity 2 \(m/s\). They meet and cling together. Their final velocity of the couple is

1 1.5 \(m/s\)
2 2 \(m/s\)
3 2.5 \(m/s\)
4 1 \(m/s\)
PHXI06:WORK ENERGY AND POWER

355324 A particle of mass \(m\) moving with velocity \(v\) collides with a stationary particle of mass \(2\,m\). After collision, they stick together and continue to move together with velocity

1 \(v\)
2 \(v / 4\)
3 \(v / 3\)
4 \(v / 2\)
PHXI06:WORK ENERGY AND POWER

355325 Two particles \(A\) and \(B\) of equal mass \(M\) are moving with the same speed \(v\) as shown in the figure. They collide completely inelastically and move as a single particle \(C\). The angle \(\theta\) that the path of \(C\) makes with the \(X\)-axis is given by
supporting img

1 \(\tan \theta=\dfrac{\sqrt{3}-\sqrt{2}}{1-\sqrt{2}}\)
2 \(\tan \theta=\dfrac{1-\sqrt{2}}{\sqrt{2}(1+\sqrt{3})}\)
3 \(\tan \theta=\dfrac{1-\sqrt{3}}{1+\sqrt{2}}\)
4 \(\tan \theta=\dfrac{\sqrt{3}+\sqrt{2}}{1-\sqrt{2}}\)
PHXI06:WORK ENERGY AND POWER

355326 A body of mass \(m\) is moving towards east and another body of equal mass and speed is moving towards the north. If after collision both stick together, then their speed after collision would be

1 \(v\)
2 \(v / 2\)
3 \(\sqrt{2} v\)
4 \(v / \sqrt{2}\)
PHXI06:WORK ENERGY AND POWER

355327 Here masses \(m, 2 m\) and \(3 m\) are moving in \(x-y\) plane speed \(3u,\,2u\), and \(u\) respectively as shown in figure. The three masses collide at the same point at \(P\) and stick together. The velocity of resulting mass will be
supporting img

1 \(\dfrac{u}{12}(-\hat{i}-\sqrt{3} \hat{j})\)
2 \(\dfrac{u}{12}(\hat{i}-\sqrt{3} \hat{j})\)
3 \(\dfrac{u}{12}(-\hat{i}+\sqrt{3} \hat{j})\)
4 \(\dfrac{u}{12}(\hat{i}+\sqrt{3} \hat{j})\)
PHXI06:WORK ENERGY AND POWER

355328 Two ice skaters \(A\) and \(B\) approach each other at right angles. Skater \(A\) has a mass 30 \(kg\) and velocity 1 \(m/s\) and skater \(B\) has a mass 20 \(kg\) and velocity 2 \(m/s\). They meet and cling together. Their final velocity of the couple is

1 1.5 \(m/s\)
2 2 \(m/s\)
3 2.5 \(m/s\)
4 1 \(m/s\)
PHXI06:WORK ENERGY AND POWER

355324 A particle of mass \(m\) moving with velocity \(v\) collides with a stationary particle of mass \(2\,m\). After collision, they stick together and continue to move together with velocity

1 \(v\)
2 \(v / 4\)
3 \(v / 3\)
4 \(v / 2\)
PHXI06:WORK ENERGY AND POWER

355325 Two particles \(A\) and \(B\) of equal mass \(M\) are moving with the same speed \(v\) as shown in the figure. They collide completely inelastically and move as a single particle \(C\). The angle \(\theta\) that the path of \(C\) makes with the \(X\)-axis is given by
supporting img

1 \(\tan \theta=\dfrac{\sqrt{3}-\sqrt{2}}{1-\sqrt{2}}\)
2 \(\tan \theta=\dfrac{1-\sqrt{2}}{\sqrt{2}(1+\sqrt{3})}\)
3 \(\tan \theta=\dfrac{1-\sqrt{3}}{1+\sqrt{2}}\)
4 \(\tan \theta=\dfrac{\sqrt{3}+\sqrt{2}}{1-\sqrt{2}}\)
PHXI06:WORK ENERGY AND POWER

355326 A body of mass \(m\) is moving towards east and another body of equal mass and speed is moving towards the north. If after collision both stick together, then their speed after collision would be

1 \(v\)
2 \(v / 2\)
3 \(\sqrt{2} v\)
4 \(v / \sqrt{2}\)
PHXI06:WORK ENERGY AND POWER

355327 Here masses \(m, 2 m\) and \(3 m\) are moving in \(x-y\) plane speed \(3u,\,2u\), and \(u\) respectively as shown in figure. The three masses collide at the same point at \(P\) and stick together. The velocity of resulting mass will be
supporting img

1 \(\dfrac{u}{12}(-\hat{i}-\sqrt{3} \hat{j})\)
2 \(\dfrac{u}{12}(\hat{i}-\sqrt{3} \hat{j})\)
3 \(\dfrac{u}{12}(-\hat{i}+\sqrt{3} \hat{j})\)
4 \(\dfrac{u}{12}(\hat{i}+\sqrt{3} \hat{j})\)
PHXI06:WORK ENERGY AND POWER

355328 Two ice skaters \(A\) and \(B\) approach each other at right angles. Skater \(A\) has a mass 30 \(kg\) and velocity 1 \(m/s\) and skater \(B\) has a mass 20 \(kg\) and velocity 2 \(m/s\). They meet and cling together. Their final velocity of the couple is

1 1.5 \(m/s\)
2 2 \(m/s\)
3 2.5 \(m/s\)
4 1 \(m/s\)