Question

2 m datum datumu k= 15 N/m The 1.0 kg collar is given a downward velocity of vg= 8.0 m/s when it is at A. The spring has an unstretched length of 1 m. The collar travels a distance s= 1.5 m to point C. What is the elastic potential energy of the system when the collar is at A?

Answer 1

Total stretch at position A is given as;

$\Rightarrow x_A = (2\;\;m) - (1\;\;m)$

$\Rightarrow x_A = 1\;\;m$

Elastic potential energy at A is given as;

$U_{s,A} = \frac{1}{2}kx_A^2$

$\Rightarrow U_{s,A} = \frac{1}{2}(15\;\;N/m)(1\;\;m)^2$

$\Rightarrow U_{s,A} = 7.5\;\;N.m$

$\Rightarrow U_{s,A} = 7.5\;\;J$

...(Answer)