Answer to Question #271321 in Classical Mechanics for elisa

Question

A block with a mass of 0.20 kg is hung at the end of a spring and it is lifted vertically so that the spring is unstretched. The block is then realesed and it touches the table with a velocity of 0.80 m s-1. If the distance of the table from the realesed point of the spring is 0.10 m, what is the force constant of the spring?

Answer 1

$E_1=E_2,$

$\frac{kx^2}2=\frac{mv^2}2,$

$k=\frac{mv^2}{x^2}=1.28~\frac Nm .$