A rubber cord catapult has cross sectional area 25mm2 Initial length of rubber cord is 10 cm It is stretched by 5 cm and then released to project a stone of mass 5g. Taking the young’s modulus for rubber to be 5 × 108N/m2 Then the velocity of the stone is.
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a
20 m/s
b
100 m/s
c
150 m/s
d
250 m/s
answer is D.
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Detailed Solution
From conservation of energy 12mv2=12Ystrain2volume5×10-3v2=5×108×510 2×25×10-6×10×10-2v2=25×1044 ; v=250