The masses of two bodies are in ratio 5:6 and their linear momentum will be in the ratio
Answers
Answer:
Given mass of both the object =m and
let velocity of first body be=v
1
and velocity of second body be=v
2
Now momentum of first body P
1
=mv
1
and momentum of second body P
2
=mv
2
We can relate kinetic energy with momentum of an body by the relation of,
E
K
=
2m
P
2
As mass of both the bodies are same, we can relate the kinetic energy of both the bodies as,
2m=
E
K1
P
1
2
=
E
K2
P
2
2
E
K2
E
K1
=
P
2
2
P
1
2
=
m
2
v
2
2
m
2
v
1
2
=
v
2
2
v
1
2
Given that ,
" The mass of two bodies are in a ratio 5:6 and velocities are in the ratio 1:2 "
∴ m1 / m2 = 5 / 6 ..... (1)
& v1 / v2 = 1 / 2 ......... (2)
Linear momentum is the product of mass and velocity
Linear momentum, P = mv
Here ,We need to find the ratio of their linear momentum
P1 / P2 = m1 v1 / m2 v2
= 5 / 6 x 1 / 2 ............... [ from (1) & (2) ]
= 5 / 12
∴ P1 : P2 = 5 : 12
** also pls note that u had missed to mention the ratios of velocity but since i am familiar with the question i could do it !!!!!!! **
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