A cannon ball is fired with a velocity $200\, m/sec$ at an angle of $60^o$ 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
$100\, m/s$ in the horizontal direction
$300\, m/s$ in the horizontal direction
$300\, m/s$ in a direction making an angle of $60^o$ with the horizontal
$200\, m/s$ in a direction making an angle of $60^o$ with the horizontal
A man of $60\,kg$ is running on the road and suddenly jumps into a stationary trolly car of mass $120\,kg$. Then. the trolly car starts moving with velocity $2\,ms ^{-1}$. The velocity of the running man was _________$ms ^{-1}$. when he jumps into the car
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 :-
$A$ system of $N$ particles is free from any external forces. Which of the following is true for the magnitude of the total momentum of the system?
An explosion breaks a rock into three parts in a horizontal plane. Two of them go off at right angles to each other. The first part of mass $1\, kg$ moves with a speed of $12 \,m s^{-1}$ and the second part of mass $2\, kg$ moves with $8 \,m s^{-1}$ speed. If the third part files off with $4 \,m s^{-1}$ speed, then its mass is ......... $kg$
A $6 \,kg$ bomb at rest explodes into three equal pieces $P, Q$ and $R$. If $P$ flies with speed $30 \,m / s$ and $Q$ with speed $40 \,m / s$ making an angle $90^{\circ}$ with the direction of $P$. The angle between the direction of motion of $P$ and $R$ is about