With what speed does the rock leave the spring?

Question

The desperate contestants on a TV survival show are very hungry. The only food they can see is some fruit hanging on a branch high in a tree. Fortunately, they have a spring they can use to launch a rock. The spring constant is 1400 N/m, and they can compress the spring a maximum of 10.0 cm. All the rocks on the island seem to have a mass of 330 g.

Answer 1

If the survivors can compress the spring 10 cm, then it stores
.5*1400*.1^2 of energy
a 330 g rock will achieve kinetic energy of
.5*.33*v^2
so
v=0.1*sqrt(1400/.33)
or
6.5 m/s

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Answer 2

this could be a consevation of power question. we are able to anticipate a vertical launch and a similar instruments and values as Debbie power saved in a spring is a million/2*ok*x^2 the place ok is spring consistent & x is compression distance. If one hundred% of this power is transferred to the rock it might equivalent the ease in kinetic power of the rock. as a result a million/2*ok*x^2=a million/2*m*v^2 v^2=ok*x^2/m v^2=1500*(0.3)^2/0.470 v^2=287.234 v=sixteen.ninety 5 m/s.............answer