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

Byju's Answer

Standard XII

Physics

Partially Inelastic Collision

Two bodies ha...

Question

Two bodies having same mass $40 k g$ are moving in opposite directions, one with velocity of $10 m / s$ and the other with $7 m / s$ . If they collide and move as one body, the velocity of the combination is

10 m / s

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

7 m / s

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

3 m / s

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

1.5 m / s

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

Open in App

Solution

The correct option is D $1.5 m / s$
Since there is no external force, momentum would remain conserved.
By the conservation of momentum:
$P_{i} = P_{f}$
$m_{1} v_{1} + m_{2} v_{2} = (m_{1} + m_{2}) v$
$40 \times 10 + (40) \times (- 7) = 80 \times v \Rightarrow v = 1.5 m / s$

Suggest Corrections

Similar questions

Q. A body of mass

2 kg

moving with a velocity

3 m/s

collides with a body of mass

1 kg

moving with a velocity of

4 m/s

in opposite direction. If the collision is head on and completely inelastic, then

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 spheres A and B moving in opposite directions have velocities of

10 m s^{- 1}

and

20 m s^{- 1}

. The two spheres collide with each other elastically. If A continues to move in the same direction at

4 m s^{- 1}

, the velocity of sphere B just after the collision is

Q. When two bodies move uniformly towards each other, the distance between them diminishes by

16 m

every

10 s

. If bodies move in same direction with velocities of the same magnitude as before, the distance between them will decrease by

3 m

in every

5 s

. The velocity of each body is

Q. A body of mass

2 kg

moving with a velocity

3 m/s

collides with a body of mass

1 kg

moving with a velocity of

4 m/s

in opposite direction. If the collision is head on and completely inelastic, then

Join BYJU'S Learning Program

Two bodies having same mass 40kg are moving in opposite directions, one with velocity of 10m/s and the other with 7m/s. If they collide and move as one body, the velocity of the combination is

The correct option is D 1.5m/sSince there is no external force, momentum would remain conserved.By the conservation of momentum:Pi=Pfm1v1+m2v2=(m1+m2)v40×10+(40)×(−7)=80×v⇒v=1.5m/s

Two bodies having same mass $40 k g$ are moving in opposite directions, one with velocity of $10 m / s$ and the other with $7 m / s$ . If they collide and move as one body, the velocity of the combination is

The correct option is D $1.5 m / s$
Since there is no external force, momentum would remain conserved.
By the conservation of momentum:
$P_{i} = P_{f}$
$m_{1} v_{1} + m_{2} v_{2} = (m_{1} + m_{2}) v$
$40 \times 10 + (40) \times (- 7) = 80 \times v \Rightarrow v = 1.5 m / s$