Home
Class 12
PHYSICS
A body of mass 3 kg moving with a veloci...

A body of mass 3 kg moving with a velocity `(2 hat(i) + 3 hat(j) + 3 hat(k)) m//s` collides with another body of mass 4 kg moving with a velocity `(3 hat(i) + 2 hat(j) - 3 hat(k)) m//s`. The two bodies strick together after collision. The velocity of the composite body is :

A

`(1)/(7) (4 hat(i) + 6 hat(j) - 3 hat(k))`

B

`(1)/(7) (18 hat(i) + 17 hat(j) - 3 hat(k))`

C

`(1)/(7) (6 hat(i) + 4 hat(j) - 6 hat(k))`

D

`(1)/(7) (9 hat(i) + 8 hat(j) - 6 hat(k))`

Text Solution

Verified by Experts

The correct Answer is:
B
`vec(P)_(i) = vec(P)_(f)`
`3 (2 hat(i) + 3 hat(j) = 3 hat(k)) + 4 (3 hat(i) + 2 hat(j) - 3 hat(k)) = (3 + 4) vec(V)`
`vec(V) = (18 hat(i) + 17 hat(j) - 3 hat(k))/( 7)`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

A body of mass 3 kg moving with a velocity (2hati+3hatj+3hatk) m/s collides with another body of mass 4 kg moving with a velocity (3hati+2hatj-3hatk) m/s. The two bodies stick together after collision. The velocity of the composite body is

Find the kinetic energy of a particle of mass 200 g moving with velocity 3hat(i)-5hat(j)+4hat(k) m//s .

A partical of mass 'm' moving with a velocity (3 hat(i)+2hat(j))m//s collides with statinary mass 'M' and finally 'm' moves with a velocity (-2hat(i)+hat(j))m//s if (m)/(M) = (1)/(13) the velocity of the M after collision is?

A particle moves with a velocity (5 hat(i)+3 hat(j)+6 hat(k)) m//s under the influence of a constant force (5 hat(i)+5 hat(j)+10hat(k))N . The instantaneous power applied to the particle is

A ball of mass '2m' moving with velocity u hat(i) collides with another ball of mass 'm' moving with velocity - 2 u hat(i) . After the collision, mass 2m moves with velocity (u)/(2) ( hat(i) - hat(j)) . Then the change in kinetic energy of the system ( both balls ) is

A plane mirror is moving with velocity 4 (hat i) + 5 (hat j) + 8 (hat k) . A point object in front of the mirror moves with a velocity 3 (hat i) + 4 (hat j) + 5 (hat k) . Here, hat k is along the normal to the plane mirror and facing towards the object. The velocity of the image is

A particle is moving with velocity hat i + 2hat j + 3hat k )m/s plane mirror exists in the x-y plane.The mirror has a velocity (hat i+2hat j) m/s] of the image (in m/s)

A sphere of mass m is moving with a velocity (4 hat(i)-hat(j)) m/s hits a surface and rebounds with a velocity (hat(i)+3hat(j)) m/s. The coefficient of restitution between the sphere and the surface is k/16. find the value of k.

A force of (2hat(i) + 3hat(j) + 4hat(k))N acts on a body for 19s and produces a displacement of (3 hat(i) + 4hat(j) + 5hat(k))m . The power consumed as

A particle of mass 'm' moving with a velocity of (4hat(i)-hat(j))m//s strikes a fixed wall and finally moves with a velocity of (3hat(i)+2hat(j))m//s . Find (a) the impulse received by the particle. (b) the coefficient of restitution between them in the collision.