Consider a non-ideal spring. The spring exerts a force with an x-component given by:
Fₓ(x)=−30.0 (N/m)∙x+18.0(N/m²)∙x²
, when it is displaced a distance x from its equilibrium length. The displacement x is positive if the spring is stretched and negative if the spring is compressed.
(a) What force does the spring exert when stretched 5.00 cm?
(b) How much work is required to stretch the 5.00 cm from equilibrium?
(c) How much work is required to compress the spring from equilibrium by 5.00cm?
(d) The spring is used In a spring gun to project a 10.0 g ping-pong ball. In the gun, the spring is compressed by 5.00 cm before the gun Is fired. How fast is the ball traveling after the gun is fired?