# A rubber cord catapult has cross-sectional area25mmand initial length of rubber cord is 10c.Its is stretched to 5cm and then released toproject a missile of mass 5gm. TakingYubber = 5x108N/m² velocity of projectedmissile is :(1) 20ms -(2) 100ms(3) 250ms(4) 200ms)

1 answer

###### Question:

A rubber cord catapult has cross-sectional area

25mmand initial length of rubber cord is 10c.

Its is stretched to 5cm and then released to

project a missile of mass 5gm. Taking

Yubber = 5x108N/m² velocity of projected

missile is :

(1) 20ms -

(2) 100ms

(3) 250ms

(4) 200ms)

25mmand initial length of rubber cord is 10c.

Its is stretched to 5cm and then released to

project a missile of mass 5gm. Taking

Yubber = 5x108N/m² velocity of projected

missile is :

(1) 20ms -

(2) 100ms

(3) 250ms

(4) 200ms)

## Answers

Potential energy stored in the rubber cord catault will be converted into kinetic energy of mass21 mv 2 = 21 LYAl 2 where l=5×10 −2 m, A=25×10 −6 m 2 , L=10×10 −2 m, m=5×10 −3 kg⇒v= mLYAl 2 v= 5×10 −3 ×10×10 −25×10 8 ×25×10 −6 ×(5×10 −2 ) 2 v=250ms −1

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