physics
posted by karok .
the rubber cord of a sling shot has a cross section 2.0 millimetre squared, and an initial length of 20 centimetres. The cord is stretched to 24 centimetres to fire a small stone of mass 10 grams. Assuming that elastic limit is not exceeded, calculate the initial speed of the stone when it is released. (young's modulus(Y)=600000000 newtons per metre squared.

is expression with respect to L:
U_e = \int {\frac{E A_0 \Delta L} {L_0}}\, d\Delta L = \frac {E A_0} {L_0} \int { \Delta L }\, d\Delta L = \frac {E A_0 {\Delta L}^2} {2 L_0}
Potenial energy stored: E*A_{o}*deltaL^2 / 2L_{o}
where E is youngs modulus
delta L is elongation
Lo is initial length
Ao is initial cross section area
Respond to this Question
Similar Questions

Physics  drwls can you help me with this?
A 2.00kg block hangs from a rubber cord, being supported so that the cord is not stretched. The unstretched length of the cord is 0.500m and it's mass is 5.00g.The "spring constant" for the cord is 100N/m. Block is released and stops … 
physics
A block of mass M hangs from a rubber cord. The block is supported so that the cord is not stretched. The unstretched length of the cord is L0 and its mass is m, much less than M. The "spring constant" for the cord is k. The block … 
Physics
A block of mass M hangs from a rubber cord. The block is supported so that the cord is not stretched. The unstretched length of the cord is L_0 and its mass is m, much less than M. The "spring constant" for the cord is k. The block … 
PHYSICS
A 75 g bungee cord has an equilibrium length of 1.20 m. The cord is stretched to a length of 1.80 m, then vibrated at 20 Hz. This produces a standing wave with two antinodes. What is the spring constant of the bungee cord? 
physics
5. A 2.00kg block hangs from a rubber cord, being supported so that the cord is not stretched. The unstretched length of the cord is 0.500 m, and its mass is 5.00 g. The “spring constant” for the cord is 100 N/m. The block is … 
physics
A transverse pulse moves along a stretched cord of length 7.14 m having a mass of 0.120 kg. If the tension in the cord is 10.2 N, find the following. a)wave speed b)time to travel length of cord 
calculus
The volume of a cube is increased from 729 cubic centimetres to 849.285 cubic centimetres. Use differentials to determine: a) by approximately how many centimetres the side length of the cube increases ? 
physics
When relaxed, an elastic cord has length L, cross section area A, mass M, and Young modulus Y. An object of mass m is hung from the ceiling using the cord. The system reaches a steady state. What is the longitudinal mass distribution … 
physics
an eiastic cord can be stretched to its elastic limit by a load of 2N.if a 35cm length of the cord is extended 0.6cm by a force of 0.5N,what will be the length of the cord when the stretching force is 2.5cm. 
unique national comprehensive college
Physics: an elastic cord can be stretched to its elastic limit by a load of 2N.if a 35cm length of the cord is extended 0.6cm by force of 0.5N,what will be the length of the cord when the stretching force is 2.5N?