Explosion of Bodies
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365833 A bomb of mass \(9\;kg\) explodes into two pieces of mass \(3\;kg\) and \(6\;kg\). The velocity of \(3\;kg\) mass is \(16\;m/s\). The velocity of \(6\;kg\) mass is

1 \(4\;m/s\)
2 \(8\;m/s\)
3 \(16\;m/s\)
4 \(32\;m/s\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365834 A shell is fired from a cannon with velocity \(v \mathrm{~m} /\) sec at an angle \(\theta\) with the horizontal direction. At the highest point in its path it explodes into two pieces of equal mass. One of the pieces retrace its path to the cannon and the speed in \(\mathrm{m} / \mathrm{sec}\) of the other piece immediately after the explosion is

1 \(2 v \cos \theta\)
2 \(3 v \cos \theta\)
3 \(\dfrac{\sqrt{3}}{2} v \cos \theta\)
4 \(\dfrac{3}{2} v \cos \theta\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365835 An object of mass \(3\;m\) splits into three equal fragments. Two fragments have velocities \(\hat{v j}\) and \(\hat{v i}\). The velocity of the third fragment is

1 \(v(\hat{j}-\hat{i})\)
2 \(v(\hat{i}-\hat{j})\)
3 \(-v(\hat{i}+\hat{j})\)
4 \(\dfrac{v(\hat{i}+\hat{j})}{\sqrt{2}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365836 If a shell fired from a cannon, explodes in mid air, then

1 Its total momentum increases
2 Its total kinetaic energy increases
3 Its total kinetaic energy decreases
4 None of these
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365833 A bomb of mass \(9\;kg\) explodes into two pieces of mass \(3\;kg\) and \(6\;kg\). The velocity of \(3\;kg\) mass is \(16\;m/s\). The velocity of \(6\;kg\) mass is

1 \(4\;m/s\)
2 \(8\;m/s\)
3 \(16\;m/s\)
4 \(32\;m/s\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365834 A shell is fired from a cannon with velocity \(v \mathrm{~m} /\) sec at an angle \(\theta\) with the horizontal direction. At the highest point in its path it explodes into two pieces of equal mass. One of the pieces retrace its path to the cannon and the speed in \(\mathrm{m} / \mathrm{sec}\) of the other piece immediately after the explosion is

1 \(2 v \cos \theta\)
2 \(3 v \cos \theta\)
3 \(\dfrac{\sqrt{3}}{2} v \cos \theta\)
4 \(\dfrac{3}{2} v \cos \theta\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365835 An object of mass \(3\;m\) splits into three equal fragments. Two fragments have velocities \(\hat{v j}\) and \(\hat{v i}\). The velocity of the third fragment is

1 \(v(\hat{j}-\hat{i})\)
2 \(v(\hat{i}-\hat{j})\)
3 \(-v(\hat{i}+\hat{j})\)
4 \(\dfrac{v(\hat{i}+\hat{j})}{\sqrt{2}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365836 If a shell fired from a cannon, explodes in mid air, then

1 Its total momentum increases
2 Its total kinetaic energy increases
3 Its total kinetaic energy decreases
4 None of these
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365833 A bomb of mass \(9\;kg\) explodes into two pieces of mass \(3\;kg\) and \(6\;kg\). The velocity of \(3\;kg\) mass is \(16\;m/s\). The velocity of \(6\;kg\) mass is

1 \(4\;m/s\)
2 \(8\;m/s\)
3 \(16\;m/s\)
4 \(32\;m/s\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365834 A shell is fired from a cannon with velocity \(v \mathrm{~m} /\) sec at an angle \(\theta\) with the horizontal direction. At the highest point in its path it explodes into two pieces of equal mass. One of the pieces retrace its path to the cannon and the speed in \(\mathrm{m} / \mathrm{sec}\) of the other piece immediately after the explosion is

1 \(2 v \cos \theta\)
2 \(3 v \cos \theta\)
3 \(\dfrac{\sqrt{3}}{2} v \cos \theta\)
4 \(\dfrac{3}{2} v \cos \theta\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365835 An object of mass \(3\;m\) splits into three equal fragments. Two fragments have velocities \(\hat{v j}\) and \(\hat{v i}\). The velocity of the third fragment is

1 \(v(\hat{j}-\hat{i})\)
2 \(v(\hat{i}-\hat{j})\)
3 \(-v(\hat{i}+\hat{j})\)
4 \(\dfrac{v(\hat{i}+\hat{j})}{\sqrt{2}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365836 If a shell fired from a cannon, explodes in mid air, then

1 Its total momentum increases
2 Its total kinetaic energy increases
3 Its total kinetaic energy decreases
4 None of these
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365833 A bomb of mass \(9\;kg\) explodes into two pieces of mass \(3\;kg\) and \(6\;kg\). The velocity of \(3\;kg\) mass is \(16\;m/s\). The velocity of \(6\;kg\) mass is

1 \(4\;m/s\)
2 \(8\;m/s\)
3 \(16\;m/s\)
4 \(32\;m/s\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365834 A shell is fired from a cannon with velocity \(v \mathrm{~m} /\) sec at an angle \(\theta\) with the horizontal direction. At the highest point in its path it explodes into two pieces of equal mass. One of the pieces retrace its path to the cannon and the speed in \(\mathrm{m} / \mathrm{sec}\) of the other piece immediately after the explosion is

1 \(2 v \cos \theta\)
2 \(3 v \cos \theta\)
3 \(\dfrac{\sqrt{3}}{2} v \cos \theta\)
4 \(\dfrac{3}{2} v \cos \theta\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365835 An object of mass \(3\;m\) splits into three equal fragments. Two fragments have velocities \(\hat{v j}\) and \(\hat{v i}\). The velocity of the third fragment is

1 \(v(\hat{j}-\hat{i})\)
2 \(v(\hat{i}-\hat{j})\)
3 \(-v(\hat{i}+\hat{j})\)
4 \(\dfrac{v(\hat{i}+\hat{j})}{\sqrt{2}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365836 If a shell fired from a cannon, explodes in mid air, then

1 Its total momentum increases
2 Its total kinetaic energy increases
3 Its total kinetaic energy decreases
4 None of these