The masses of two bodies are in ratio 10 : 12 and their velocities are in ratio 1 : 2. Then their linear momentum will be in the ratio
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Two bodies A and B have masses in the ratio 5:1 and their kinetic energies are in the ratio 125:9. Find the ratio of their velocities.
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Solution
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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
Explanation:
3/5
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Answer:
p is equal to mv
then p1/p2 is equal to 10/12*1/2
which is equal to 5/12.