Question

Two bodies having kinetic energy 16 J and 25 J have equal masses, their momentums are P1 and P2 respectively, then P1 is to P2 is
please give me answer as fast you can

Answer 1

Answer:

I think this is the answer but i am not sure about this one.

Explanation:

let mass of the body = m

velocity of the body = v

The equation for momentum = m$v^{2}$

The equation for kinetic energy = mv

kinetic energy of P1 = m$v_{1}$ = 16j

kinetic energy of P2 = m$v_{2}$ = 25j

kinetic energy of P1 : kinetic energy of P2 = m$v_{1}$ : m$v_{2}$ = $v_{1}$ : $v_{2}$ = 16 :25

Therefore,

25$v_{1}$ = 16$v_{2}$

$v_{1}$ = $\frac{16}{25}$ $v_{2}$

P1 : P2 =  $v_{1}$^2 :  $v_{2}$^2 = ((16/25) $v_{2}$)^2 :  ($v_{2}$)^2

= 256/625 :1