Question

A block c of mass m is moving with velocity v and collides elastically with block a of mass m and connected to another block b of mass 2m through a spring of spring constant k. What is k if x is the compression of spring when velocity of a and b is same?

Answer 1

Explanation:

After collision V

c

=0

By momentom conservation,

mv

0

=(m+2m)u

u=

3

1

v

0

Applying energy conservatioln,

2

1

mv

0

2

=

2

1

(m+2m)u

2

+

2

1

kx

0

2

2

1

(mv

0

2

−

3

mv

0

2

)=

2

1

kx

0

2

k=

3x

0

2

2mv

0

2