Question

Two bodies Of same mass their momentum's are in the ratio of 4:5 than K. E ratio
1) 5:4
2) 4 : 5
4) 25 : 16
3) 16:25
​

Answer 1

let Mass(es) be m

we know ,Momentum = mv

p1 = mv1

p2 = mv2

Given,

p1/p2 = mv1/mv2 = v1/v2

Kinetic energy,

k1 = ½mv1²

k2 = ½mv2²

now,

k1/k2 = v1²/v2² = 4²/5² =16/25

Ratio of K.E = (3) 16:25

Cheers!