there are two things whose kinetic energies are same. their mass are 9g and 4g.what is the ratio of their momentums?
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Mass of 1st object m = 9 KG
Mass of 2nd object n = 4 KG
Let Velocity of 1st object be v and that of 2nd object be w.
Ratio of kinetic energy: KE1=KE2 . Therefore,
1/2 mv² = 1/2 nw²
=> m/n = (w/v)²
=> w/v = 3/2
Ratio of momentum:
mv/nw = (9/4)* (v/w)
= 9/2 * 2/3
= 3
So the ratio of their momentum would be 3:1
Mass of 2nd object n = 4 KG
Let Velocity of 1st object be v and that of 2nd object be w.
Ratio of kinetic energy: KE1=KE2 . Therefore,
1/2 mv² = 1/2 nw²
=> m/n = (w/v)²
=> w/v = 3/2
Ratio of momentum:
mv/nw = (9/4)* (v/w)
= 9/2 * 2/3
= 3
So the ratio of their momentum would be 3:1
hwPoulami11:
thank you so much
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