A rubber cord catapult has cross sectional area 25 mm2 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 energy12mv2=12Y( strain )2 volume 5×10−3v2=5×108×5102×25×10−6×10×10−2 v2=25×1044 ;v=250
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A rubber cord catapult has cross sectional area 25 mm2 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.