Assuming that all of the elastic potential energy is transferred to kinetic energy, what speed will a 0.57kg ball leave a spring that is compressed 0.13m?

Question

Spring constant is 25N/m.
Thanks

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Answer 1 · 2017-11-06T18:44:03

#0.74ms^(-1)#

so

#EPE=1/2mv^2#

now

#EPE=1/2kx^2#

where#" "k=" the spring constant"#

and #" "x=" the extension/compression"#

#:.1/2 xx25xx0.13^2#

#EPE=169/800J#

this all transferred to #KE#

#169/800=1/2xx0.57v^2#

#v^2=(169xx2)/(800x0.57)=169/228#

#v=sqrt(169/228)=0.74ms^(-1)(2dps)#