Answer to Question #324219 in Mechanics | Relativity for aries183

Question

A small toy gun fires light foam projectiles by compressing a spring. As the spring relaxes it pushes the projectile.

The toy gun has a spring with a spring constant of 484 N m−1, the spring is compressed by 5.00 cm, and it fires a 10.0 g projectile.

At what speed does the projectile leave the toy gun? (in m s−1 to 3 s.f)

Answer 1

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

$v=x\sqrt\frac km =11~\frac ms.$