A body of mass $1000 \mathrm{~kg}$ is moving horizontally with a velocity $6 \mathrm{~m} / \mathrm{s}$. If $200 \mathrm{~kg}$ extra mass is added, the final velocity (in $\mathrm{m} / \mathrm{s}$ ) is:

A buggy of mass $100\, kg$ is free to move on a frictionless horizontal track. Two men, each of mass $50\, kg$, are standing on the buggy, which is initially stationary. The men jump off the buggy with velocity $=10m/s$ relative to the buggy. In one situation, the men jump one after the other. In another situation, the men jump simultaneously. What is the ratio of the recoil velocities of the buggy in two cases?

A body is moving with a velocity $v$, breaks up into two equal parts. One of the part retraces back with velocity $v$. Then the velocity of the other part is

A bullet of mass $40 \,g$ is fired from a gun of mass $10 \,kg$. If velocity of bullet is $400 \,m / s$, then the recoil velocity of the gun will be ..........

A cannon ball is fired with a velocity $200\, m/sec$ at an angle of $60° $ with the horizontal. At the highest point of its flight it explodes into $3$ equal fragments, one going vertically upwards with a velocity $100 \,m/sec$, the second one falling vertically downwards with a velocity $100\, m/sec$. The third fragment will be moving with a velocity

A ball is projected at $60^o$ from horizontal at $200\, m/s$. At maximum height during its  flight it explodes into $3$ equal fragments. Out of them one part travel at $100\, m/s$  vertically up while other at $100\, m/s$ vertically down, then third part will have  speed just after explosion :-