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A loaded trolley and unloaded trolley are both moving with same kinetic energy. The mass of the loaded trolley is three times that of the unloaded trolley. Brakes are applied to both of them, so as to exert an equal retarding force. If \( t_{1} \) and \( t_{2} \) be the time taken by the unloaded and loaded trolleys respectively, before coming to a stop, then:
(a) \( t_{1}=\sqrt{3} t_{2} \)
(b) \( t_{1}=3 t_{2} \)
(c) \( t_{2}=3 t_{1} \)
(d) \( t_{1}=2 / 3 t_{2} \)
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