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kuzthai
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JO is "loaded" into a spring-loaded "cannon-ball" launcher as PICTURE. She lands into a springy trampoline that is initially at ground level. THe Earth is dug out under the trampoline so that when she lands, the trampoline will compress below ground level.
At position 1, 60kg JO is at rest, compressed against the cannon-ball spring. This spring is compressed a distance of 0.2m from its equilibrium position, with a spring constant of 1000 N/m. At the time, JO is at a vertical distance 1 m above the ground. Don't worry .. JO won't get hurt; her speed is slow and the springy trampoline will soften her impact.
At position 2, JO has landed into the springy trampoline (k2 = 4000 N/m) and the trampoline is maximally compressed a distance X2 below its equilibrium position. Suppose that we can neglect friction and the trampoline acts like a "normal" spring.
QUESTION:
a). WRITE DOWN the KNOWS and UNKNOWS with standard notation. For example, the spring constant of the trampoline is K2 = 4000 N/m.
NOTE: the reference is taken at position 2, the maxium compression of the trampoline. USE "x" for springs and "y" for vertical distance. Don't forget the subscripts, "1" and "2".
b). Using the conservation of energy equation, U1 + K1 + Wother = U2 + K2, determine how far below equilibrium position the spring will be compressed. Make sure to first cross out the terms that are zero and write expressions for each term using variables m, k2, etc.
thanks for helping..
At position 1, 60kg JO is at rest, compressed against the cannon-ball spring. This spring is compressed a distance of 0.2m from its equilibrium position, with a spring constant of 1000 N/m. At the time, JO is at a vertical distance 1 m above the ground. Don't worry .. JO won't get hurt; her speed is slow and the springy trampoline will soften her impact.
At position 2, JO has landed into the springy trampoline (k2 = 4000 N/m) and the trampoline is maximally compressed a distance X2 below its equilibrium position. Suppose that we can neglect friction and the trampoline acts like a "normal" spring.
QUESTION:
a). WRITE DOWN the KNOWS and UNKNOWS with standard notation. For example, the spring constant of the trampoline is K2 = 4000 N/m.
NOTE: the reference is taken at position 2, the maxium compression of the trampoline. USE "x" for springs and "y" for vertical distance. Don't forget the subscripts, "1" and "2".
b). Using the conservation of energy equation, U1 + K1 + Wother = U2 + K2, determine how far below equilibrium position the spring will be compressed. Make sure to first cross out the terms that are zero and write expressions for each term using variables m, k2, etc.
thanks for helping..
