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Question

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

A
20 ms-1
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B
100 ms-1
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C
250 ms-1
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D
200 ms-1
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Solution

The correct option is C 250 ms-1
c): Potential energy stored in the rubber cord catapult will be converted into kinetic energy of mass.
12mv2=12YAl2L v=YAl2mL
5×108×25×106×(5×102)25×103×10×102=250 m/s

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