You visited us 8 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XI

Physics

Com in Perfectly Inelastic Collision

A 2 kg mass m...

Question

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.

$12.5 m / s, 100 k g m s^{- 1}$

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

$12.5 m / s, 50 k g m s^{- 1}$

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

$7.5 m / s, 100 k g m s^{- 1}$

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

$7.5 m / s, 50 k g m s^{- 1}$

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

Open in App

Solution

The correct option is A
$12.5 m / s, 100 k g m s^{- 1}$

$m_{1} u_{1} + m_{2} u_{2} = m_{1} v_{1} + m_{2} v_{2} (2) (10) - (6) (20) = (8) v \Rightarrow v = \frac{100}{8} m / s = 12.5 m / s p = 8 v = 100 m / s$

Suggest Corrections

Similar questions

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. 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 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 railway truck of mass

2 \times 10^{4} k g

, travelling at

0.5 m s^{- 1}

collides with another of half of it's mass moving in opposite direction with a velocity of

0.4 m s^{- 1}

. If they stick together after the collision then their common velocity is:

Q. A

6 k g

mass moving with a velocity of

20 m s^{- 1}

collides with another

2 k g

mass moving in opposite direction with a velocity of

10 m s^{- 1}

. The momentum of system is.

Join BYJU'S Learning Program

A 2 kg mass moving with a velocity of 10 ms−1 collides with another 6 kg mass moving in opposite direction with a velocity of 20 ms−1. After the collision, they stick and move together. Find their common velocity and the momentum.

The correct option is A 12.5 m/s, 100 kgms−1 m1u1+m2u2=m1v1+m2v2(2)(10)−(6)(20)=(8)v⇒v=1008m/s=12.5m/sp=8v=100m/s

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.

The correct option is A
$12.5 m / s, 100 k g m s^{- 1}$

$m_{1} u_{1} + m_{2} u_{2} = m_{1} v_{1} + m_{2} v_{2} (2) (10) - (6) (20) = (8) v \Rightarrow v = \frac{100}{8} m / s = 12.5 m / s p = 8 v = 100 m / s$