MyQuestionIcon

1

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

2D Collision Example

two bodies of...

Question

two bodies of equal masses moving with different velocities in the same straight line undergoes elastic collision. show that they exchange their velocities after collision?

which derivation should we mention elastic collision in one dimension or elastic collision in two dimensions

Open in App

Solution

Let the body of mass $m_{1}$ moving with velocity $u_{1}$ moves with velocity $v_{2}$ after collision with the body of mass $m_{2}$ which was moving with velocity $u_{2}$ and which after collision attains a velocity $v_{2}$ .
$∴ v_{1} \frac{(m_{1} - m_{2})}{m_{1} + m_{2}} u_{1} + \frac{2 m_{2}}{m_{1} + m_{2}} u_{2}$
And,
$v_{2} = \frac{2 m_{1}}{m_{1} + m_{2}} u_{1} - \frac{(m_{1} + m_{2})}{m_{1} + m_{2}} u_{2}$
When $m_{1} = m_{2} = m$
$v_{1} = \frac{0}{2 m} u_{1} + \frac{2 m}{2 m} u_{2} = u_{2}$
And
$v_{2} = \frac{2 m}{2 m} u_{1} - \frac{0}{2 m} u_{2} = u_{1}$
Thus, the bodies exchange speeds after collision.

Suggest Corrections

thumbs-up

1

Similar questions

Q. Consider the following statements A and B. Identify the correct choice in the given answer
A : In a one - dimensional perfectly elastic collision between two moving bodies of equal masses, the bodies merely exchange their velocities after collision
B : If a lighter body at rest suffers perfectly elastic collision with a very heavy body moving with a certain velocity, after collision both travel with same velocity

Q. Two bodies of masses

5

3

kg moving in the same direction along the same straight line with velocities

5

3

m/s respectively suffer one-dimensional elastic collision. Find their velocities after the collision.

Q. Two particles moving initially in the same direction undergo a one dimensional, elastic collision. Their relative velocities before and after collision are

_{1}

_{2}

Q. Two elastic bodies P and Q having equal masses are moving along the same line with velocities of 16 m/s and 10m/s respectively. Their velocities after the elastic collision will be in m/s :

Q. When two spheres of equal masses undergo glancing elastic collision with one of them at rest, after collision they will move

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Cut Shots in Carrom

PHYSICS

Watch in App

explore_more_icon

Explore more

2D Collision Example

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon