Answer:
No, they do not necessarily have the same momentum.
Explanation:
Lets take two objects with mass m1 and m2 ,their respective velocities as v1 and v2, and kinetic energies as K1 and K2.
Let momentum be g1 and g2.
g1=m1v1 g2=m2v2
When kinetic energies are equal
[tex]K1=K2\\\frac{1}{2} m1v1^{2}=\frac{1}{2} m2v2^{2} \\\\m1v1^{2}=m2v2^{2} \\g1v1=g2v2[/tex]
when v1=v2 ; g1=g2 ; two objects can have the same momentum
but if v1≠ v2 ; g1≠g2 ; Therefore objects do not necessarily have the same momentum.
