Physics

Problem

A sling shot launches a

50\,\text{g}

marble straight upward. The elastic band has a spring constant of

40\,\text{N/m}

and is stretched by

x

before release. The marble rises to a maximum height of

2.5\,\text{m}

. Assuming no energy losses and taking

g = 10\,\text{m/s}^{2}

, determine the stretch

x

. a)

0.36\,\text{m}

0.18\,\text{m}

0.25\,\text{m}

0.80\,\text{m}