Applied Mechanics and Graphic Statics
A shell of mass 100 kg travelling with a velocity of 10 m/sec breaks into two equal pieces during an explosion which provides an extra kinetic energy of 20000 Joules. If the pieces continue to move in the same direction as before, then the speed of the faster one must be

50 m/sec
40 m/sec
30 m/sec
20 m/sec

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Applied Mechanics and Graphic Statics
The maximum displacement of a particle executing S.H.M. corresponds to

Maximum kinetic energy and maximum potential energy
Minimum kinetic energy and minimum potential energy
Zero kinetic energy and maximum potential energy
Zero potential energy and maximum kinetic energy

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