Question

Two bodies having masses m1 and m2 moving with velocity u1 and u2 collides and changes their velocities to v1 and v2. Prove that momentum remains conserved

Answer 1

Answer:

Using momentum conservation:

m

1

u

1

+m

2

v

2

=m

1

v

1

+m

2

v

2

.........(1)

2

1

m

2

u

2

2

−

2

1

m

2

v

2

2

=

2

1

m

1

u

1

2

−

2

1

m

1

v

1

2

2

1

m

2

(u

2

2

−v

2

2

)=

2

1

m

1

(u

1

2

−v

1

2

)

From (1):

2

1

(u

2

+v

2

)×m

1

(v

1

−u

1

)=

2

1

m

1

(u

1

2

−v

1

2

)

⇒u

2

+v

2

=−u

1

−v

1

⇒u

1

+v

1

+u

2

+v

2

=0

Explanation:

hope you are satisfied with the answer