A bomb of mass $3m$ kg explodes into two pieces of mass $m kg$ and $2m$ $kg$. If the velocity of m kg mass is $16 m/s$, the total kinetic energy released in the explosion is ................. $\mathrm{mJ}$
A bomb of mass $3m$ kg explodes into two pieces of mass $m kg$ and $2m$ $kg$. If the velocity of m kg mass is $16 m/s$, the total kinetic energy released in the explosion is ................. $\mathrm{mJ}$
- A
$192 $
- B
$96 $
- C
$384$
- D
$768 $
Similar Questions
An isolated rail car of mass $M$ is moving along a straight, frictionless track at an initial speed $v_0$. The car is passing under a bridge when $a$ crate filled with $N$ bowling balls, each of mass $m$, is dropped from the bridge into the bed of the rail car. The crate splits open and the bowling balls bounce around inside the rail car, but none of them fall out. What is the average speed of the rail car $+$ bowling balls system some time after the collision?
An isolated rail car of mass $M$ is moving along a straight, frictionless track at an initial speed $v_0$. The car is passing under a bridge when $a$ crate filled with $N$ bowling balls, each of mass $m$, is dropped from the bridge into the bed of the rail car. The crate splits open and the bowling balls bounce around inside the rail car, but none of them fall out. What is the average speed of the rail car $+$ bowling balls system some time after the collision?
A wire, which passes through the hole is a small bead, is bent in the form of quarter of a circle. The wire is fixed vertically on ground as shown in the figure. The bead is released from near the top of the wire and it slides along the wire without friction. As the bead moves from $A$ to $B$, the force it applies on the wire is
A wire, which passes through the hole is a small bead, is bent in the form of quarter of a circle. The wire is fixed vertically on ground as shown in the figure. The bead is released from near the top of the wire and it slides along the wire without friction. As the bead moves from $A$ to $B$, the force it applies on the wire is
- [IIT 2014]
$Assertion$ : A helicopter must necessarily have two propellers.
$Reason$ : Two propellers are provided in helicopter in order to conserve linear momentum
$Assertion$ : A helicopter must necessarily have two propellers.
$Reason$ : Two propellers are provided in helicopter in order to conserve linear momentum
- [AIIMS 2010]
In an elastic collision of two billiard balls, which of the following quantities remain conserved during the short time of collision of the balls ? (i.e. when they are in contact)
$(a)$ Kinetic energy.
$(b)$ Total linear momentum.
Give reason for your answer in each case.
In an elastic collision of two billiard balls, which of the following quantities remain conserved during the short time of collision of the balls ? (i.e. when they are in contact)
$(a)$ Kinetic energy.
$(b)$ Total linear momentum.
Give reason for your answer in each case.
A free body of mass $8\, kg$ is travelling at $2\, meter$ per second in a straight line. At a certain instant, the body splits into two equal parts due to internal explosion which releases $16 \,joules$ of energy. Neither part leaves the original line of motion finally
A free body of mass $8\, kg$ is travelling at $2\, meter$ per second in a straight line. At a certain instant, the body splits into two equal parts due to internal explosion which releases $16 \,joules$ of energy. Neither part leaves the original line of motion finally