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Question

A mass of 10 gm moving with a velocity of 100 cm/s strikes a pendulum bob of mass 10 gm. The two masses stick together. The maximum height (in cm) reached by the system now is (g=10m/s2)

Moderate
Solution

Initially mass 10 gm  moves with velocity 100 cm/s
 Initial momentum = 10 × 100 = 1000gm×msec
After collision system moves with velocity vsys.  then 
Final momentum =  (10+10)×vsys.
By applying the conservation of momentum 
10000=20×vsys.vsys.=50cm/s
If system rises upto height h then 
h=vsys.22g=50×502×1000=2.52=1.25cm


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