Question

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?

Spring constant is 25N/m.
Thanks

Answer 1

`0.74ms^(-1)`

Explanation:

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)`