A body $A,$ of mass $m=0.1\; kg$ has an initial velocity of $3 \hat{\mathrm{i}}\; \mathrm{ms}^{-1} .$ It collides elastically with another body, $\mathrm{B}$ of the same mass which has an initial velocity of $5 \hat{\mathrm{j}} \;\mathrm{ms}^{-1}$. After collision. A moves with a velocity $\overline{\mathrm{v}}=4(\hat{\mathrm{i}}+\hat{\mathrm{j}})$. The energy of $\mathrm{B}$ after collision is written as $\frac{\mathrm{x}}{10} \;\mathrm{J}$ The value of $x$ is
A body $A,$ of mass $m=0.1\; kg$ has an initial velocity of $3 \hat{\mathrm{i}}\; \mathrm{ms}^{-1} .$ It collides elastically with another body, $\mathrm{B}$ of the same mass which has an initial velocity of $5 \hat{\mathrm{j}} \;\mathrm{ms}^{-1}$. After collision. A moves with a velocity $\overline{\mathrm{v}}=4(\hat{\mathrm{i}}+\hat{\mathrm{j}})$. The energy of $\mathrm{B}$ after collision is written as $\frac{\mathrm{x}}{10} \;\mathrm{J}$ The value of $x$ is
- [JEE MAIN 2020]
- A
$4$
- B
$2$
- C
$3$
- D
$1$
Similar Questions
Write the equation of mass energy equivalence.
Write the equation of mass energy equivalence.
A point mass of $1 \mathrm{~kg}$ collides elastically with a stationary point mass of $5 \mathrm{~kg}$. After their collision, the $1 \mathrm{~kg}$ mass reverses its direction and moves with a speed of $2 \mathrm{~ms}^{-1}$. Which of the following statement(s) is (are) correct for the system of these two masses?
$(A)$ Total momentum of the system is $3 \mathrm{~kg} \mathrm{~ms}^{-1}$
$(B)$ Momentum of $5 \mathrm{~kg}$ mass after collision is $4 \mathrm{~kg} \mathrm{~ms}^{-1}$
$(C)$ Kinetic energy of the centre of mass is $0.75 \mathrm{~J}$
$(D)$ Total kinetic energy of the system is $4 \mathrm{~J}$
A point mass of $1 \mathrm{~kg}$ collides elastically with a stationary point mass of $5 \mathrm{~kg}$. After their collision, the $1 \mathrm{~kg}$ mass reverses its direction and moves with a speed of $2 \mathrm{~ms}^{-1}$. Which of the following statement(s) is (are) correct for the system of these two masses?
$(A)$ Total momentum of the system is $3 \mathrm{~kg} \mathrm{~ms}^{-1}$
$(B)$ Momentum of $5 \mathrm{~kg}$ mass after collision is $4 \mathrm{~kg} \mathrm{~ms}^{-1}$
$(C)$ Kinetic energy of the centre of mass is $0.75 \mathrm{~J}$
$(D)$ Total kinetic energy of the system is $4 \mathrm{~J}$
- [IIT 2010]
A body of mass $m$ moving with a constant velocity $v$ hits another body of the same mass moving with the same velocity $v$ but in the opposite direction and sticks to it. The velocity of the compound body after collision is
A body of mass $m$ moving with a constant velocity $v$ hits another body of the same mass moving with the same velocity $v$ but in the opposite direction and sticks to it. The velocity of the compound body after collision is
A ball is dropped from height $5\,\,m$. The time after which ball stops rebounding if coefficient of restitution between ball and ground $e = 1/2$, is ............. $\mathrm{sec}$
A ball is dropped from height $5\,\,m$. The time after which ball stops rebounding if coefficient of restitution between ball and ground $e = 1/2$, is ............. $\mathrm{sec}$
$STATEMENT$-$1$ In an elastic collision between two bodies, the relative speed of the bodies after collision is equal to the relative speed before the collision. because
$STATEMENT$-$2$ In an elastic collision, the linear momentum of the system is conserved.
$STATEMENT$-$1$ In an elastic collision between two bodies, the relative speed of the bodies after collision is equal to the relative speed before the collision. because
$STATEMENT$-$2$ In an elastic collision, the linear momentum of the system is conserved.
- [IIT 2007]