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a catapult caonsists of two parallel rubberstrings each a length of 10cm and cross sectional area 10mm^2.when stretched by 5cm it can throw a stone of mass 100gm to a vertical height of 25m,youngs modulus of elasticity of rubber is

a catapult caonsists of two parallel rubberstrings each a length of 10cm and cross sectional area 10mm^2.when stretched by 5cm it can throw a stone of mass 100gm to a vertical height of 25m,youngs modulus of elasticity of rubber is

Grade:12

1 Answers

erra akhil
208 Points
9 years ago
Use work energy  theorum, 
First find velocity at  the instant when the body is released using v=(2gh)^1/2.
Since  catapult  has 2 strings  then effective spring constant becomes (2k).
(mv^2)/2=(2kΔx^2)/2
Here k=YA/l.
Y-youngs modulus
A -Area
Δx-extension
l-length of each string
m-mass of object
v--velocity

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