derive an expression for final velocity if the objects of mass m1 and stick together incase of perfectly inelastic collision
Answers
Explanation:
Let two bodies of masses m
1
and m
2
moving with velocities u
1
and u
2
along the same straight line.
And consider the two bodies collide and after collision v
1
and v
2
be the velocities of two masses.
Before collision
Momentum of mass m
1
=m
1
u
1
Momentum of mass m
2
=m
2
u
2
Total momentum before collision
p
1
=m
1
u
1
+m
2
u
2
Kinetic energy of mass m
1
=
2
1
m
1
u
1
2
Kinetic energy of mass m
2
=
2
1
m
2
u
2
2
Thus,
Total kinetic energy before collision is
K.E=
2
1
m
1
u
1
2
+
2
1
m
2
u
2
2
After collision
Momentum of mass m
1
=m
1
v
1
Momentum of mass m
2
=m
2
v
2
Total momentum before collision
P
f
=m
1
v
1
+m
2
v
2
Kinetic energy of mass m
1
=
2
1
m
1
v
1
2
Kinetic energy of mass m
2
=
2
1
m
2
v
2
2