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