Question #114452

A spring with a spring constant of 950 N/m is compressed 0.20 m. What speed can it give to a 1.5 kg ball when it is released?

Please answer using grade 11 Conservation of Energy and Momentum please!

Expert's answer

The potential energy of a compressed spring is converted into kinetic energy of the ball. We write this conservation law

"\\frac{k \\cdot x^2}{2}=\\frac{m \\cdot v^2}{2}"

then write

"v=\\sqrt{\\frac{k \\cdot x^2}{m}}=x \\cdot\\sqrt{\\frac{k }{m}}=0.2 \\cdot\\sqrt{\\frac{950 }{1.5}}=5.033m\/s"

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