Question

g a mass of 1.3 kg is pushed horizontally against a massless spring with a spring constant of 58 n/m until the spring compresses 19.5 cm if the mass is then released what is the kinetic energy of the mass when it is no longer in contact with the spring ignore friction

Answer 1

Answer: $1.102\ J$

Explanation:

Given

Mass $m=1.3\ kg$

Spring constant $k=58\ N/m$

Compression in the spring $x=19.5\ cm\ or\ 0.195\ m$

When the mass leaves the spring, the elastic potential energy of spring is being converted into kinetic energy of mass i.e.

$\Rightarrow \dfrac{1}{2}kx^2=\dfrac{1}{2}mv^2\\\\\Rightarrow \dfrac{1}{2}\cdot 58\cdot (0.195)^2=\dfrac{1}{2}mv^2\\\\\Rightarrow \dfrac{1}{2}mv^2=1.102\ J$

The kinetic energy of the mass is 1.102 J.