Question

A ball of mass 20 g and another ball of 300 g move towards each other with speeds 12 m/s and 3 m/s respectively. If they stick to each other after colliding, what would be the velocity of the combined mass after the collision?​

Answer 1

Answer:

Mass of first ball

�

1

=

200

�

�

�

�

=

0.2

�

�

m

1

=200gram=0.2kg

Velocity of second ball

�

1

=

12

�

/

�

�

�

v

1

=12m/sec

Mass of second ball

�

2

=

300

�

�

�

�

=

0.3

�

�

m

2

=300gram=0.3kg

Velocity of second ball

�

2

=

−

3

�

/

�

�

�

v

2

=−3m/sec ( opposite to first )

Now according to conservation of momentum

�

1

�

1

+

�

2

�

2

=

(

�

1

+

�

2

)

�

m

1

v

1

+m

2

v

2

=(m

1

+m

2

)v

0.2

×

12

−

0.3

×

3

=

(

0.2

+

0.3

)

�

0.2×12−0.3×3=(0.2+0.3)v

0.5

�

=

1.5

0.5v=1.5