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equation for kinetic energy of a spring. KE ½ mv². This is negligible compared to the work by the spring and so the launch speed is So and the initial kinetic energy is 0 so using the work-energy theorem.
Assuming that the motion takes place in a vertical plane flnd the. Spring stretch length x 0. PE_ elfrac 1 2kx2 P E el 21 kx2.
Let the spring have length xt and let its angle with the vertical be µt.
E Total 1 2 k A 2. Its Lagrangian is L 12mx212kx2. Spring force constant k 0. Where m is the mass of the object g is the height of the object g is the gravitational field strength 98ms² and v is the average velocity of the object.