MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Com in Perfectly Inelastic Collision

A mass m1 m...

Question

A mass $m_{1}$ moves with a large velocity. It strikes another mass $m_{2}$ at rest in a head on collision. It comes back along its path with lesser speed after collision. Then

A

m_{1} > m_{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

m_{1} < m_{2}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

C

m_{1} = m_{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

There is no relation between

m_{1}

and

m_{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $m_{1} < m_{2}$
The velocity of the mass $m_{1}$ before collision be $u_{1}$ whereas the that of mass $m_{2}$ is Zero i.e $u_{2} = 0$
Let their velocities after the collision be $v_{1}$ and $v_{2}$ respectively.

Using, $v_{1} = \frac{(m_{1} - e m_{2}) u_{1} + (1 + e) m_{2} u_{2}}{m_{1} + m_{2}}$

$∴$ $v_{1} = \frac{(m_{1} - e m_{2}) u_{1}}{m_{1} + m_{2}}$ $(∵ u_{2} = 0)$
Thus for $v_{1} < 0$ , either $m_{1} < 0$ (impossible) or $e m_{2} > m_{1}$
Also as $0 \leq e \leq 1$ , $∴ e m_{2} > m_{1}$ $⟹ m_{2} > m_{1}$

Suggest Corrections

thumbs-up

0

Similar questions

m_{1}

moving with initial velocity

u

strikes head on to another mass

m_{2}

kept at rest as shown in figure. After collision if

| v_{1} | < | u |

Q. An object of mass

m_{1}

moving with a velocity V undergoes a head on collision with another object of mass

m_{2}

at rest. After collision body with mass

m_{1}

comes to the state of rest. Determine the velocity of the body with mass

m_{2}

after collision.

m_{1}

moving with initial velocity

u

strikes head on to another mass

m_{2}

kept at rest as shown in figure. After collision if

| v_{1} | < | u |

Q. A body of mass

m_{1}

moving at a constant speed undergoes an elastic collision with a body of mass

m_{2}

initially at rest., the ratio of the kinetic energies of masses

m_{2}

m_{1}

after the collision is

Q. A body of mass

m_{1}

moving with an unknown velocity of

v_{1}^i

, undergoes a collinear collision with a body of mass

m_{2}

moving with a velocity

v_{2}^i

. After collision,

m_{1}

m_{2}

move with velocities of

v_{3}^i

v_{4}^i

, respectively.
If

m_{2} = 0.5 m_{1}

v_{3} = 0.5 v_{1}

v_{1}

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

A Sticky Situation

PHYSICS

Watch in App

explore_more_icon

Explore more

Com in Perfectly Inelastic Collision

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon