Two bodies have masses in the ratio 2 is to 3 and their velocity is in the ratio is 4 is to 3 compute the ratio of their momentum
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Explanation:
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Step 1: Kinetic energy of bodies
K
A
=
2
1
m
A
v
A
2
....(1)
K
B
=
2
1
m
B
v
B
2
....(2)
Step 2: Ratio of velocities
Ratio of masses
m
B
m
A
=
1
5
Ratio of Kinetic Energies
K
B
K
A
=
9
125
Dividing (1) by (2)⇒
K
B
K
A
=
m
B
m
A
v
B
2
v
A
2
⇒
v
B
v
A
=
K
B
m
A
K
A
m
B
=
9
125
×
5
1
=
9
25
⇒
v
B
v
A
=
3
5
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