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Two objects of masses 2 kg and 4 kg are ...

Two objects of masses 2 kg and 4 kg are moving with the same momentum of 20 kg ms
(a) Will they have some kinetic energy!
(b) Will they have same speed?

Text Solution

Verified by Experts

`m_(1) =3 kg` and `m_(2) =6 kg`
`P=30 kg ms^(-1)`
(i) `KE_(1)= (P^(2))/(2m_(1))= ((30)^(2))/(2 xx 3)= (900)/(6)= 150 J`
`KE_(2)= (P^(2))/(2m_(2))= ((30)^(2))/(2 xx 6)= (900)/(2 xx 6)= 75 J`
`KE_(1) ne KE_(2)`
(ii) `P= m_(1)v_(1)implies V_(1)= (P)/(m_(1))=(30)/(3)= 10 ms^(-1)`
`P= m_(2)v_(2)implies V_(2)= (P)/(m_(2))=(30)/(3)= 10 ms^(-1)`
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