Kinetic Energies and Momentums

Ball A A of mass m 1 m_{1} and ball B B of mass m 2 , m_{2}, attached to the ceiling with inextensible strings, are exactly in the same horizontal line, with the system in balance. The angles between the strings and the vertical are θ 1 \theta_{1} and θ 2 , \theta_{2}, as shown, where θ 1 > θ 2 \theta_{1}>\theta_{2} . The two balls begin to swing after the string between A A and B B is cut. Let T 1 m T_{1m} and T 2 m T_{2m} denote their maximum kinetic energies, respectively. Let p 1 m p_{1m} and p 2 m p_{2m} denote the maximum magnitudes of their momentums, respectively. Which of the following statements is correct?

1 . T 1 m > T 2 m T_{1m}>T_{2m}\ and p 1 m > p 2 m \ p_{1m}>p_{2m}
2 . T 1 m > T 2 m T_{1m}>T_{2m}\ and p 1 m < p 2 m \ p_{1m}<p_{2m}
3 . T 1 m < T 2 m T_{1m}<T_{2m}\ and p 1 m > p 2 m \ p_{1m}>p_{2m}
4 . T 1 m < T 2 m T_{1m}<T_{2m}\ and p 1 m < p 2 m \ p_{1m}<p_{2m}


The answer is 2.

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