A mass of 10 g moving horizontally with a velocity of 100 cms-1 strikes a pendulum bob of mass 10 g.Length of string is 50 cm. The two masses stick together. The maximum height reached by the systemnow is (Take, g = 10 ms-2)
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a
7.5 cm
b
5 cm
c
2.5 cm
d
1.25 cm
answer is D.
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Detailed Solution
From conservation of linear momentum, velocity of combined mass just after collision will be 50 cms-1, as mass has doubled.Now, H=u22g=(0.5)220 m=1.25 cm