Q.

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
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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)