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Q.

A rubber cord catapult has cross-sectional area 25 mm2 and initial length of rubber cord is 10 cm. It is stretched to 5 cm and then released to project a missile of mass 5 gm. Taking Yrubber =5×108N/m2 velocity of projected missile is

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a

20ms−1

b

100ms−1

c

250ms−1

d

200ms−1

answer is C.

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Detailed Solution

Potential energy stored in the rubber cord catapult will be converted into kinetic energy of mass.12mv2=12YAl2L⇒v=YAl2mL=5×108×25×10−6×5×10−225×10−3×10×10−2=250m/s
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A rubber cord catapult has cross-sectional area 25 mm2 and initial length of rubber cord is 10 cm. It is stretched to 5 cm and then released to project a missile of mass 5 gm. Taking Yrubber =5×108N/m2 velocity of projected missile is