You visited us 46 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Collision Examples I

A 2 Kg ball i...

Question

A 2 Kg ball is moving at $10$ ms $^{- 1}$ and collides with another 2 Kg ball at rest. After collision they move together with

5

^{- 1}

in the opposite direction

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

5

^{- 1}

in the same direction

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

10

^{- 1}

in the opposite direction

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

10

^{- 1}

in the same direction

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

Open in App

Solution

The correct option is B $5$ ms $^{- 1}$ in the same direction
Using momentum conservation for inelastic collision,

$m_{1} u_{1} + m_{2} u_{2} = V (m_{1} + m_{2})$

$m_{1} = m_{2} = 2$ kg $, u_{1} = 10$ ms $^{- 1}, u_{2} = 0$ ms $^{- 1}, V = ?$

$\Rightarrow 2 \times 10 + 2 \times 0 = 4 V$

$\Rightarrow V = \frac{20}{4} = 5$ ms $^{- 1}$ .

Suggest Corrections

Similar questions

Q. Ball A of mass 6 kg moving with a velocity of 20

m s^{- 1}

collides with another ball B of mass 2 kg moving in the opposite direction with a velocity of 10

m s^{- 1}

. After the collision, ball A comes to rest. Find the speed of ball B after collision.

A 2 kg mass moving with a velocity of $10 m s^{- 1}$ collides with another 6 kg mass moving in opposite direction with a velocity of $20 m s^{- 1}$ . After the collision, they stick and move together. Find their common velocity and the momentum.

Q. Two balls initially moving in same direction with speed

10 {m s}^{- 1}

and

5 {m s}^{- 1}

make a head-on collision. After collision, they move with speed

4 {m s}^{- 1}

and

6 {m s}^{- 1}

in the same direction. Coefficient of restitution of collision is :

Q. A 2 kg mass moving with a velocity of

10 m s^{- 1}

collides with another 6 kg mass moving in opposite direction with a velocity of

20 m s^{- 1}

. After the collision, they stick and move together. Their common velocity is m/s and the momentum is kg m/s.

Q. A 1 kg ball moving at

12 m s^{- 1}

collides head-on with a

2 k g

, ball moving in the opposite direction at

24 m s^{- 1}

. If

e = 2 / 3

the velocities after impact are respectively.

Join BYJU'S Learning Program

A 2 Kg ball is moving at 10 ms−1 and collides with another 2 Kg ball at rest. After collision they move together with

The correct option is B 5 ms−1 in the same directionUsing momentum conservation for inelastic collision,m1u1+m2u2=V(m1+m2)m1=m2=2kg,u1=10ms−1,u2=0ms−1,V=?⇒2×10+2×0=4V⇒V=204=5ms−1.

A 2 Kg ball is moving at $10$ ms $^{- 1}$ and collides with another 2 Kg ball at rest. After collision they move together with