Consider a non-ideal springthat exerts a force F(x)=-15.0 N/m x +3.00 N/m^2 x^2 , when it isdisplaced 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 tostretch the spring 5.00 cm from equilibrium?
c) How much work is required tocompress the spring from equilibrium by 5.00cm?
d) The spring is used in aspring gun to project a 10.0 g ping-pong ball. In the gun,the spring is compressed by 5.00 cmbefore the gun is fired. How fast is the ball traveling after the gun is fired?