CameraIcon

SearchIcon

MyQuestionIcon

1

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

Final Velocities

A body of mas...

Question

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 $m_{2}$ and $m_{1}$ after the collision is

A

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

B

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

C

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

D

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

Open in App

Solution

The correct option is D
KE of $m_{2}$ afer collision = $\frac{1}{2} m_{2} v_{2}^{2} = \frac{1}{2} m_{2} {(\frac{2 m_{1}}{m_{1} + m_{2}})}^{2} u_{1}^{2}$ .
KE of $m_{1}$ afer collision = $\frac{1}{2} m_{1} v_{1}^{2} = \frac{1}{2} m_{1} {(\frac{m_{1} - m_{2}}{m_{1} + m_{2}})}^{2} u_{1}^{2}$ .
Dividing the two, we find that the correct choice is (d).

Suggest Corrections

thumbs-up

2

Similar questions

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

m_{2}

initially at rest. The ratio of the kinetic energy of mass

m_{1}

after the collision to that before the collision is

m_{1}

m_{2}

are moving with velocities

v_{1}

v_{2}

respectively. Find their total kinetic energy in the reference frame of centre of mass.

Q. A body of mass

m_{1}

moving with a velocity

u

collides elastically with another body of mass

m_{2}

at rest.
a) The fraction of kinetic energy transferred to second body is

\frac{4 m_{1} m_{2}}{(m_{1} + m_{2})^{2}}

b) The fraction of energy retained by the first body is

(\frac{m_{1} - m_{2}}{m_{1} + m_{2}})^{2}

m_{1}

=

m_{2}

, then the energy transferred is

100 %

d) The energy lost during the collision is found as heat

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.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

A No-Loss Collision

PHYSICS

Watch in App

explore_more_icon

Explore more

Final Velocities

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon