Two bodies A and B and having masses m and M respectively possess same momenta. Given that M > m. If EA and EB be their kinetic energies, then which of the following statement is true ?

Q:  Two bodies A and B and having masses m and M respectively possess same momenta. Given that M > m . If EA and EB be their kinetic energies , then which of the following statement is true ?

(a) EA = EB

(b) EA <  EB

(c) EA > EB

(d) It cannot be predicted.

Ans: (c)

$\displaystyle E_A = \frac{p^2}{2 m}$

$\displaystyle E_B = \frac{p^2}{2 M}$

$\displaystyle  \frac{E_A}{E_B} = \frac{M}{m} > 1 $

EA > EB