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

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

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Applied Mechanics and Graphic Statics
The characteristic of a couple is:

Algebraic sum of forces, constituting a couple is zero
A couple can be never the balanced by a single force
All listed here
Algebraic sum of moments of forces, constituting a couple, about any point, is same

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

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

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